He is Nicholas Elliott, not Elliot, and his label is N-p-Elliott, not N-p-Elliot.
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But spelt with the letters p, h and o. P-H-O-N-K?
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Let S be the area of P. An odd positive integer n is given such that the squares of the side lengths of P are integers divisible by n.
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I saw F-E-E-N and F-E-A-N; F-E-A-Z-E, F-A-N-T and F-E-N-T; S-P-E-E-R and E-T-H-S.
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Lap Leaders: N. Gragson 983-26; B. Rhodes 27; N. Gragson 28-32; B. Rhodes 33-42; N. Gragson 43-73; P. Kligerman 74-43; S. Friesen 84-85; P. Kligerman 86-87; S. Friesen 88-122; B. Rhodes 123-125; T. Gilliland # 126; B. Rhodes 4-150.
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N gained 6.1 percent while the S&P 1500 airlines index .
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LOVECRAFT By H. P. Lovecraft, adapted by I. N. J. Culbard.
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N) dropping 3.43 to $215.89 and S&P Global Inc (SPGI.
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The bars will come in three flavors: Chocolate Mint Kookie N' Milk, Chocolate P-Nut Butter Pretzel and Chocolate S'mores Bar 'N Milk.
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N., 200, No. 214-Margaret G. Clements to John P. Thibodeau, $251,600.
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N was up 2.8 percent as the biggest boost to the S&P 13.
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Android P stood for Pie, Android O for Oreo, Android N for Nougat, etc.
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N in the S&P 500 after the close of trading on Sept. 21.
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H A P P Y T H A N K S G I V I N G I am grateful today, to be alive, for all those I love, and for all those who have the courage to stand up for others.
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He is the son of Mercedes N. Piesco and Nicholas P. Piesco of Tampa, Fla.
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She is a daughter of Maggie N. Ford and Mark P. Ford of Fairfield, Conn.
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N), the No. 2 U.S. bank by assets, and fellow S&P 500 component Hasbro (HAS.
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N) was the biggest influence on the S&P, up 275 percent, while Procter & Gamble (PG.
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Markov's rule is the formulation of Markov's principle as a rule. It states that \exists n\;P(n) is derivable as soon as eg eg \exists n\;P(n) is, for P decidable. Formally, :\forall n (P(n)\lor eg P(n)),\ eg eg \exists n\;P(n)\ \vdash\ \exists n\;P(n) Anne S. TroelstraAnne S. Troelstra. Metamathematical Investigation of Intuitionistic Arithmetic and Analysis, Springer Verlag (1973), Theorem 4.2.
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For a square semiprime n=p^2, the formula is again simple: :\varphi(n)=p(p-1)=n-p.
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77 n. 31; Downham (2004) p. 68; Duffy (2002a) p. 56 n. 10; Duffy (1993a) p. 35 n. 20; Duffy (1992) p. 106 n. 67; Anderson (1922) p. 16 n. 4; Schmeidler (1917) p. 196 § 51. which could indicate that Godred formed part of the Irish Sea contingent,Duffy (1992) p. 106 n. 67.
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For example, a common type of transistor, the bipolar junction transistor, consists of two p–n junctions in series, in the form n–p–n or p–n–p; while a diode can be made from a single p-n junction. A Schottky junction is a special case of a p–n junction, where metal serves the role of the n-type semiconductor.
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In predicate logic, a predicate P over some domain is called decidable if for every x in the domain, either P(x) is true, or P(x) is not true. This is not trivially true constructively. For a decidable predicate P over the natural numbers, Markov's principle then reads: :(\forall n (P(n) \vee eg P(n)) \wedge eg \forall n\, eg P(n)) \rightarrow \exists n\, P(n) That is, if P cannot be false for all natural numbers n, then it is true for some n.
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If u_1, u_2 , n, k are positive natural numbers, and u_1 \le u_2, k \le n, p \in [0, 1] then P(r = u_1 k ; u_1 n, p) \ge P(r = u_2 k ; u_2 n, p).
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However, shuddha N in the avarohana is quite frequently used in north Indian style of performing this raga. Arohana: 'P 'N S R G S R M P N S' . Avarohana: S' P D M G S R G S 'N 'P 'N S R G S . Pakad:'P 'N S R G S R P M G S 'N The vadi swara is R, and the samavadi is P .
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Inductive types usually come with a function to prove properties about them. Thus, "nat" may come with: nat_elim : (forall P : nat -> Prop, (P 0) -> (forall n, P n -> P (S n)) -> (forall n, P n)). This is the expected function for structural recursion for the type "nat".
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6 n. 42; McNamee (2012b) ch. 2 n. 37; Barrow (2005) pp. 240, 378, 465 n. 125; Brown, M (2004) p. 263; Murray (2002) p. 229 n. 35; Munro; Munro (1986) p. 282 n.
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Two subspecies of N. pompilius have been described: N. p. pompilius and N. p. suluensis N. p. pompilius is by far the most common and widespread of all nautiluses.
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228, 228 n. 26; Downham (2007) p. 153; Woolf (2007) p. 183; Clancy (2006); Williams (2004c); Downham (2003) p. 42; Hicks (2003) p. 16 n. 35; Davidson (2002) pp. 114–115, 114 n. 29; Duncan (2002) p. 23; Thornton (2001) p. 78, 78 n. 114; O'Keeffe (2001) p. 80; Williams (1999) p.
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195 n. 32; Anderson (1922) p. 255 n. 1; Skene (1872) p. 252 ch. 4; Skene (1871) p. 257 ch. 4; Stevenson (1835) p. 79 n. d. It is possible that this source has mistaken the latter's name for Gilla Brigte,Sellar (2004); Sellar (2000) p. 195 n. 32; Duncan; Brown (1956–1957) p. 197 n. 6.
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68 n. 5; Whitelock (1996) p. 196 n. 5; Ó Corráin (1979) pp. 314–315; McTurk, RW (1976) pp. 117 n. 173, 119; Stenton (1963) p. 244 n. 2; Conybeare (1914) p. 156 bk. 4 ch. 2 § 1; Giles (1906) p.
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25; McTurk, R (2007) p. 60; Woolf (2007) p. 73 n. 11; Swanton, M (1998) p. 75 n.
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Clearly p ≤ m (since n is composite). ## If p = m (that is, n = p2), there are two cases: ### If p = 3, then n = 9 is written "1001" (a palindrome) in base 2. ### If p > 3, then n is written "121" (a palindrome) in base p − 1\.
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A reduction is a preordering, that is a reflexive and transitive relation, on P(N)×P(N), where P(N) is the power set of the natural numbers.
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31; Campbell of Airds (2000) p. 77; Davies (2000) p. 175 n. 14; Duffy (1998) p. 79; Dundalk (n.
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11; Hart, CR (2003) p. 160 n. 3; Whitelock (1996) p. 200 n. 14; Ó Corráin (1979) p. 316.
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66; Hudson (1994) p. 174 n. 9; Mac Eoin (1961) p. 56; Anderson, AO (1922) p. 517 n. 5.
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10 n. 43; Duffy (1991) p. 68. The close relations between these families could account for Ailéan's name.Duffy (2007) p. 10 n. 43; Duffy (1993) p. 77 n. 61.
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68; Forte; Oram; Pedersen (2005) p. 218; Rekdal (2003–2004) p. 262; Jayakumar (2002) p. 32 n. 87; Etchingham (2001) p. 172; Sheehan; Stummann Hansen; Ó Corráin (2001) p. 112; Thornton (2001) pp. 72–73; Abrams (1998) p. 21, 21 n. 143; Ó Corráin (1998a) § 16, n. 57; Ó Corráin (1998b) p. 309, 309 n. 59; Williams, DGE (1997) p.
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123 n. 171; Stringer, KJ (2000) p. 162 n. 142; Cowan; Easson (1976) p. 238; Megaw, BRS (1948–1949) p.
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125 n. 91; Penman, M (2014) p. 107; Caldwell (2012) p. 285, 285 n. 103; McNamee (2012b) ch. 2 ¶ 20; Oram (1992) p. 40; Shead; Stevenson; Watt et al (1991) p. 444–445 n. 54.
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3 n. 25; Downham (2013) p. 21; McLeod, S (2015) p. 12; McLeod, SH (2011) p. 125; Davies (2009) p. 73, 73 n. 36; Downham (2007) p.
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Wagner (1960) p. 72 n. 1; Cokayne; Doubleday; Howard de Walden (1936) p. 80 n. d.
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70, 159 n. 77; Abrams (1998) p. 27; Hudson, B (1994); Lawson (1993) p. 106; Hudson, BT (1992) p. 355 n.
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88; Macquarrie (1998) p. 12; Ó Corráin (1998a) § 38 n. 141; Ó Corráin (1998b) p. 331 n. 149; Crawford (1997) p.
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308, 342 n. 121; Maxwell (1913) p. 188; Stevenson (1839) p. 212. Gesta Annalia II,Young (2018) p. 125, 125 n.
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103; Pryce (2005) p. 26; Wilkinson (2005) p. 83 n. 11; Carr (2004b); Pryce (1993) pp. 84–85; Davies (2000) p. 194; Richter (1971) p. 207 n. 14; Lloyd (1912) p. 617 n. 29; Bliss (1893) p. 13; Migne (1891) pp. 49–50 § 47.
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Projective covers and their superfluous epimorphisms, when they exist, are unique up to isomorphism. The isomorphism need not be unique, however, since the projective property is not a full fledged universal property. The main effect of p having a superfluous kernel is the following: if N is any proper submodule of P, then p(N) e M.Proof: Let N be proper in P and suppose p(N)=M. Since ker(p) is superfluous, ker(p)+N≠P.
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115, 115 n. 46; Davidson; Fisher (1999) vol. 2 p. 156 n. 38; McTurk, RW (1976) pp. 108, 108 n. 113, 119 n. 191; Whitelock (1969) pp. 227–228; Plummer; Earle (1965) p. 93; Lukman (1958) p. 141; Smith, AH (1928–1936b) p. 176; Mawer (1908–1909) p. 83; Stevenson, WH (1904) pp.
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281; Oram (2011) ch. 2; Duncan (2002) p. 23 n. 53; Macquarrie (1998) p. 14; Williams; Smyth; Kirby (1991) p. 103; Hudson (1994) p. 174 n. 7. the sources that note this king fail to identify him by name.Thornton (2001) p. 67 n. 65; Anderson, AO (1908) pp. 70–71, 71 n.
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66; McDonald (2012) p. 176 n. 73; McDonald (2008) p. 145, 145 n. 74; McDonald (2007b) pp. 78, 152; Woolf (2007) p.
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166; Steer; Bannerman; Collins (1977) p. 203; Duncan; Brown (1956–1957) p. 205 n. 9; Dundalk (n.
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144; Macquarrie (1998) p. 12; Ó Corráin (1998a) § 38 n. 142; Ó Corráin (1998b) p. 331 n.
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Conversely, if pu(n) ≤ n for some n, then u is ultimately periodic.Allouche & Shallit (2003) p.302 An aperiodic sequence is one which is not ultimately periodic. An aperiodic sequence has strictly increasing complexity function (this is the Morse–Hedlund theorem),Cassaigne & Nicolas (2010) p.166 so p(n) is at least n+1.Lothaire (2011) p.
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66; Hicks (2003) p. 43; Anderson (1922) p. 550. This obituary is corroborated by the thirteenth- and fourteenth-century texts Brut y TywysogyonCharles-Edwards (2013) p. 572 fig. 17.4; Broun (2004b) p. 128 n. 66; Hicks (2003) p. 44 n. 107; Anderson (1922) p. 550 n.
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The Fibonacci polynomials are another generalization of Fibonacci numbers. The Padovan sequence is generated by the recurrence P(n) = P(n - 2) + P(n - 3). The Narayana's cows sequence is generated by the recurrence N(k) = N(k - 1) + N(k - 3). A random Fibonacci sequence can be defined by tossing a coin for each position n of the sequence and taking F(n) = F(n - 1) + F(n - 2) if it lands heads and F(n) = F(n - 1) - F(n - 2) if it lands tails.
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119; Whitelock (1969) p. 223; Stenton (1963) p. 244 n. 2; Smith, AH (1928–1936b) p. 180; Gomme (1909) p. 59 n. 3; Mawer (1908–1909) pp.
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Thus, as an example of when an error occurs, supposed that the source sequence X_1^n(1) was mapped to message 1 as was the source sequence X_1^n(2). If X_1^n(1) \, was generated at the source, but P(X_1^n(2)) > P(X_1^n(1)) then an error occurs. Let S_i \, denote the event that the source sequence X_1^n(i) was generated at the source, so that P(S_i) = P(X_1^n(i)) \,. Then the probability of error can be broken down as P(E) = \sum_i P(E\mid S_i) P(S_i)\, .
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If n is even, it can be obtained in a single additional sum, as n=n'+n'. If n is odd, this method uses two sums to obtain it, by computing n-1=n'+n' and then adding one. The factor method for finding addition chains is based on the prime factorization of the number n to be represented. If n has a number p as one of its prime factors, then an addition chain for n can be obtained by starting with a chain for n/p, and then concatenating onto it a chain for p, modified by multiplying each of its numbers by n/p.
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73, asser's life of king alfred § 47 n. 84; Smyth (2002) p. 222 n. 110; Keynes (2001) p. 55; O'Keeffe (2001) p. 61 § 876; Swanton (1998) pp. 74–75 § 875; Yorke (1995) p. 109; Whitelock (1996) p. 199 § 875; Abels (1992) p. 23; Taylor (1983) p. 36 § 876; Brooks (1979) p. 9 n. 33; Conybeare (1914) p.
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27, 69, 70, 73, 88; Clarkson (2010) ch. 9 ¶¶ 25–27; Woolf (2010) p. 228, 228 n. 26; Downham (2007) p. 153; Woolf (2007) p. 183; Clancy (2006); Williams (2004b); Downham (2003) p. 42; Hicks (2003) p. 16 n. 35; Duncan (2002) p. 23; Thornton (2001) p. 78, 78 n. 114; O'Keeffe (2001) p. 80; Williams (1999) p.
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192; Murray, N (2005) p. 293, 293 n. 37; McDonald (1997) pp. 88–89; Oram (1988) p. 138; Duncan; Brown (1956–1957) p. 201.
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Other structural isomers, such as C≡N–C≡P (isocyanophosphapropyne), C=C=N≡P (azaphosphadicarbon), and N≡C–P=C (isocyanophosphavinylidene), have not been observed. The molecule has linear molecular geometry (C∞v molecular symmetry).
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He was married to Smt. K. N. Lalithamma a member of Kattipparambil family of Edappally in Ernakulam District. She is also one of the founder members of ICH Co-operative Society, Thrissur. They have four children: N. P. Chandrasekharan (Director - News and Current Affairs, Kairali T. V.), N. P. Gireesan (Indian Coffee House), N. P. Murali (Muscat) and N. P. Sunitha, (House Wife).
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112; Macquarrie (1998) p. 12; Ó Corráin (1998a) § 38, 38 n. 141; Ó Corráin (1998b) p. 331, 331 n.
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There are two trivial exceptions. One is n = 9. The other is when n = p(p+2) is the product of two twin primes. Such an n is easy to factor, because in this case, n+1 = (p+1)2 is a perfect square.
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Suppose p and q are monic polynomials in Jα of minimal degree n > 0. Since p − q ∈ Jα and deg(p − q) < n it follows that p − q = 0, i.e. p = q.
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66 n. 6; McTurk, RW (1976) p. 76; Ó Corráin (1974) pp. 6 n. 32, 30; Byrne, FJ (1965) p. 157; Anderson (1922) p. 278.
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Lachlann was married to a daughter of Alasdair Mac Dubhghaill, Lord of Argyll.Holton (2017) p. 153; Cochran-Yu (2015) pp. 58, 59 n. 38, 60; Boardman, S (2006) p. 54 n. 60; Sellar (2004a); Murray, N (2002) p. 222; Sellar (2000) p.
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Baumgartner's axiom A is an axiom for partially ordered sets introduced in . A partial order (P, ≤) is said to satisfy axiom A if there is a family ≤n of partial orderings on P for n = 0, 1, 2, ... such that # ≤0 is the same as ≤ #If p ≤n+1q then p ≤nq #If there is a sequence pn with pn+1 ≤n pn then there is a q with q ≤n pn for all n. #If I is a pairwise incompatible subset of P then for all p and for all natural numbers n there is a q such that q ≤n p and the number of elements of I compatible with q is countable.
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Complete induction is equivalent to ordinary mathematical induction as described above, in the sense that a proof by one method can be transformed into a proof by the other. Suppose there is a proof of P(n) by complete induction. Let Q(n) mean "P(m) holds for all m such that ". Then Q(n) holds for all n if and only if P(n) holds for all n, and our proof of P(n) is easily transformed into a proof of Q(n) by (ordinary) induction.
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148–149 n. 23; Higgit (2000) p. 19; Sellar (2004); Sellar (2000) pp. 205–206 n. 96; Neville (1983a) p.
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151 n. 14. the fifteenth–sixteenth-century Annals of Ulster,Jorgensen (2017) p. 43, 43 n. 129; Kulovesi (2017) p.
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Choose x in P outside of ker(p)+N. By the surjectivity of p, there exists x' in N such that p(x' )=p(x ),, whence x−x' is in ker(p). But then x is in ker(p)+N, a contradiction. Informally speaking, this shows the superfluous kernel causes P to cover M optimally, that is, no submodule of P would suffice.
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12; Ó Corráin (1998a) § 38 n. 141; Ó Corráin (1998b) p. 331 n. 149; Cowan (1981) p. 10; Alcock (1975–1976) p. 106; Anderson, AO (1922) p. 302. and the thirteenth- and fourteenth-century texts Brenhinedd y SaessonEdmonds (2014) p. 200; Downham (2007) p. 203; Alcock (1975–1976) p. 106; Anderson, AO (1922) p. 302 n. 7; Jones; Williams; Pughe (1870) p. 655.
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125 n. 91; Penman (2014) p. 107; Caldwell (2012) p. 285, 285 n. 103; McNamee (2012b) ch. 2 ¶ 20; Oram (1992) p. 40; Shead; Stevenson; Watt et al (1991) p.
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Linear-time skipping is done using the period. function match(n, h) nl ← len(n) hl ← len(h) [l, p] ← crit_fact(n) P ← {} set of matches. Match the suffix.
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Another possibility is that the term refers to Norway, or else a region within Norway.Riisoy (2015) p. 144; Valante (2013) p. 103; Walker (2013) ch. 1 ¶ 25; Downham (2011) p. 190; McLeod (2011) p. 126 n. 52; Etchingham (2007) pp. 12, 15; Woolf (2007) p. 71 n. 6; Barrett (2003) p. 76 n.
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There is always an integer M that satisfies :(n+1)p-1 \leq M < (n+1)p. f(k, n, p) is monotone increasing for k < M and monotone decreasing for k > M, with the exception of the case where (n + 1)p is an integer. In this case, there are two values for which f is maximal: (n + 1)p and (n + 1)p − 1\. M is the most probable outcome (that is, the most likely, although this can still be unlikely overall) of the Bernoulli trials and is called the mode.
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As the Norwegian fleet descended upon the Isles, the latter source specifies that Lǫgmaðr set himself to defend the ' ("Northern Islands"), a term that likely refers to the Outer Hebrides.McDonald (2019) pp. 74, 84 n. 79; Finlay; Faulkes (2015) p. 134 ch. 9, 134 n. 315; McDonald (2012) p. 154; Hollander (2011) p. 676 ch. 9; McDonald (2007) p. 91, 91 n. 21; Forte; Oram; Pedersen (2005) p. 237; Oram (2000) p. 42; Power (1986) p. 114 n. 1; Anderson (1922) p. 108, 108 n. 8; Jónsson (1911) pp.
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To prove uniqueness, assume that there exists another interpolating polynomial q of degree at most n. Since p(x_k)=q(x_k) for all k=0,\dotsc,n, it follows that the polynomial p-q has n+1 distinct zeros. However, p-q is of degree at most n and, by the fundamental theorem of algebra, can have at most n zeros; therefore, p=q.
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The iterated wreath products of cyclic groups of order p are very important examples of p-groups. Denote the cyclic group of order p as W(1), and the wreath product of W(n) with W(1) as W(n + 1). Then W(n) is the Sylow p-subgroup of the symmetric group Sym(pn). Maximal p-subgroups of the general linear group GL(n,Q) are direct products of various W(n).
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When a doped semiconductor contains excess holes, it is called a p-type semiconductor (p for positive electric charge); when it contains excess free electrons, it is called an n-type semiconductor (n for negative electric charge). A majority of mobile charge carriers have negative charge. The manufacture of semiconductors controls precisely the location and concentration of p- and n-type dopants. The connection of n-type and p-type semiconductors form p–n junctions.
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356, 356 n. 1; Candon (1988) p. 402; Byrne (1982); Anderson (1922a) pp. 590–592 n. 2; Waitz (1844) p. 559.
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183; Sheehan; Stummann Hansen; Ó Corráin (2001) p. 112; Abrams (1998) p. 21, 21 n. 143; Ó Corráin (1998a) § 16, n.
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267 n. 18; McQueen (2002) p. 287; Murray (2002) p. 224; Roberts (1999) p. 181; McDonald (1997) p. 187; Steer; Bannerman; Collins (1977) p. 203, 203 n. 12; Duncan; Brown (1956–1957) p. 205 n. 9; Thomson, JM (1912) p. 557 § 699; The Acts of the Parliaments of Scotland (1844) p. 483; RPS, A1325/2 (n.d.a); RPS, A1325/2 (n.d.b).
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16, 16 n. 70; Barrow (2005) pp. 75–76, 437 n. 10; Brown, M (2004) p. 258; McQueen (2002) p. 110; Sellar (2000) p. 212; Munro; Munro (1986) p. 281 n. 5; MacDonald; MacDonald (1896) pp. 489–490; Bain (1884) p. 145 §§ 621–623; Rymer; Sanderson (1816) p. 761; Document 3/31/0 (n.d.
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Downham (2013a) p. 13; Downham (2013b) p. 53; McLeod, SH (2011) p. 140; Downham (2007) p. 64; Keynes; Lapidge (2004) ch. asser's life of king alfred § 21, asser's life of king alfred § 21 n. 44; Smyth (2002) pp. 13 ch. 21, 183, 217–218 n. 61, 224 n. 139; Conybeare (1914) p. 98 § 24 ch. 21; Cook (1906) p. 13 ch. 21; Giles (1906) p. 50; Stevenson, WH (1904) p. 19 ch. 21; Stevenson, J (1854) p. 449, 449 n. 6. A Scandinavian origin may be evinced by the tenth-century Chronicon Æthelweardi, which states that "the fleets of the tyrant Ívarr" arrived in Anglo-Saxon England from "the north".Lewis (2016) p. 18; Downham (2013a) p. 13, 13 n. 23; Downham (2007) p. 64; Keynes; Lapidge (2004) ch. asser's life of king alfred § 21 n. 44; Kirby (2002) p. 173; Swanton, M (1998) p. 68 n. 5; Whitelock (1996) p. 196 n. 5; Ó Corráin (1979) pp. 314–315; McTurk, RW (1976) pp. 117 n. 173, 119; Stenton (1963) p. 244 n. 2; Conybeare (1914) p. 156 bk. 4 ch. 2 § 1; Giles (1906) p. 25 bk. 4 ch. 2; The Whole Works of King Alfred the Great (1858) p. 30; Stevenson, J (1854) p. 427 bk. 4 ch. 2. With the turn of the mid-ninth century, this Ívarr (died 869/870?)Gore (2016) pp. 62, 68 n. 70; Downham (2007) p. 64; Woolf (2007) p. 73; Costambeys (2004b); Keynes; Lapidge (2004) ch. asser's life of king alfred § 21 n. 44.
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46; Brown (2004) pp. 80–81; Duffy (2004) p. 47; Woolf (2004) p. 108; Verstraten (2003) p. 36 n. 131; Sellar (2000) pp. 200–201; Bartlett (1999) p. 821; Lydon (1992) p. 7; Ballyshannon (n.
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As with the succession, the identity of this man is uncertain. One possibility is that he was an elder brother of Aonghus Óg;Penman, M (2014) p. 102; Penman, MA (2014) p. 68, 68 n. 17; Duncan (2007) p. 148 n. 725–62; Barrow (2005) p. 211; Murray (2002) p. 228 n. 32; McDonald (1997) pp. 187–188; Duffy (1991) p. 311; Munro; Munro (1986) pp. 282–283 n.
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206, 206 n. 99; Simms (2000a) pp. 121–122; Simms (2000b) p. 157 n. 62; McDonald (1997) pp. 118, 155; Lydon (1992) p. 7; Walton (1980) pp. 233–234, 234 n.
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69, 69 n. 51, 138 n. 105; Barrow (1973) p. 381; List of Diplomatic Documents (1963) p. 193; MacDonald; MacDonald (1896) pp.
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31, 45; Barrow (1960) p. 20; Duncan; Brown (1956–1957) p. 197; Anderson; Anderson (1938) pp. 125 n. 1, 143–144 n.
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13; Anderson; Anderson (1938) pp. 44, 143–144 n. 6, 190; Anderson (1922) p. 255 n. 1; Bouterwek (1863) pp. 40–41. the thirteenth- to fourteenth-century Chronicle of Mann,Caldwell (2016) p. 352; Martin, C (2014) p. 193; McDonald, RA (2007a) pp. 57, 64; McDonald, RA (2007b) pp. 54, 121 n. 86; McDonald, RA (2002) p. 117 n. 76; Williams, DGE (1997) p.
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Fluid must meet the JWS 3309 specification. The fluid can be found under varying designations. GM Saturn: Aisin AF23/33-5 type T-IV P/N 88900925 (in Canada, P/N 22689186). Volvo AW55-50/51SN P/N 1161540-8.
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The Telychian (Late Llandovery) of Estonia can be defined by five conodont zones (Pterospathodus eopennatus ssp. n. 1, P. eopennatus ssp. n. 2, P. amorphognathoides angulatus, P. a. lennarti and P. a. lithuanicus).
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Folk song is characterised by a typical tonal structure which reflects specific natural, environmental and work related factors, topographical condition, ethnic and phonetic characteristic of the region. The following tonal structure is generally used in Bhawaiya music: S R M P D n... S R G M P n.... M P D n D n D P M... n n S R G G M G R S ..... etc. (S=Sharaja, R= Rishava, G= Gandhara, M= Madhyama, P=Panchama, D=Dhaivata, n= flattened Nishada). Flattened tone of S, R, G, D, P and sharpen tone of M are not used in this folk song.
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101; Ó Corráin (2006) p. 58; Forte; Oram; Pedersen (2005) pp. 99 n. 49, 109; Halloran (2005); Macquarrie (2004); Hicks (2003) p. 38; Duncan (2002) p. 23 n. 53; Woolf (2001a); Woolf (2001b); Williams (1999) pp. 85–86; Macquarrie (1998) p. 14; Crawford (1997) p. 60; Hudson (1994) pp. 80, 174 n. 7.
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The Bernoulli distribution is a special case of the binomial distribution, where n = 1\. Symbolically, X ~ B(1, p) has the same meaning as X ~ Bernoulli(p). Conversely, any binomial distribution, B(n, p), is the distribution of the sum of n Bernoulli trials, Bernoulli(p), each with the same probability p.
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108; Williams, A (2004); Davidson (2002) pp. 13, 134, 134 n. 111, 142, 145; Etchingham (2001) p. 172; Thornton (2001) pp. 57–58; Oram (2000) p. 10; Sellar (2000) p. 189; Williams, A (1999) pp. 116, 191 n. 50; Williams, DGE (1997) p. 141; Whitelock (1996) pp. 230 n. 1; Hudson (1994) p.
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437–438; McTurk, R (2015) pp. 246–247; Parker, EC (2012) p. 100; Short (2009) pp. 172–173 §§ 3144–3156; Hart, CR (2003) p. 160 n. 3; Swanton, M (1998) p. 75 n. 12; Whitelock (1969) p. 228 n. 58; Plummer; Earle (1965) p. 93; Lukman (1958) pp. 141–142; Bell (1938) pp. 193–194; Conybeare (1914) p. 209; Mawer (1908–1909) p.
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RSA Laboratories states that: for each RSA number n, there exists prime numbers p and q such that :n = p × q. The problem is to find these two primes, given only n.
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Reaching definition is usually calculated using an iterative worklist algorithm. Input: control flow graph CFG = (Nodes, Edges, Entry, Exit) // Initialize for all CFG nodes n in N, OUT[n] = emptyset; // can optimize by OUT[n] = GEN[n]; // put all nodes into the changed set // N is all nodes in graph, Changed = N; // Iterate while (Changed != emptyset) { choose a node n in Changed; // remove it from the changed set Changed = Changed -{ n }; // init IN[n] to be empty IN[n] = emptyset; // calculate IN[n] from predecessors' OUT[p] for all nodes p in predecessors(n) IN[n] = IN[n] Union OUT[p]; oldout = OUT[n]; // save old OUT[n] // update OUT[n] using transfer function f_n () OUT[n] = GEN[n] Union (IN[n] -KILL[n]); // any change to OUT[n] compared to previous value? if (OUT[n] changed) // compare oldout vs.
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149; Crawford (1997) p. 50; Hudson, BT (1994) p. 50; Smyth (1989) p. 215; Holm (1986) p. 321; Brooks (1979) p. 6; McTurk (1976) p. 117 n. 173; Alcock (1975–1976) p. 106; Anderson, AO (1922) pp. 301–302; Beaven (1918) p. 337 n. 36.
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318 n. 29; Brooks (1979) p. 6, 6 n. 22; Ó Corráin (1979); McTurk, RW (1976) pp. 93, 117–119; Whitelock (1969) p.
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79 n. 48; Woolf (2007) p. 82. Although no source names the mother of his son, Haraldr,McDonald (2007b) p. 79 n. 48.
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For a fixed prime p, νp(n), defined above as the exponent of the largest power of p dividing n, is completely additive.
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590–592 n. 2; Waitz (1844) p. 559. a title that could either mean "King of the Isles",Flanagan (2010) p. 231 n.
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An n–p–n bipolar junction transistor structure Bipolar junction transistors (BJTs) are formed from two p–n junctions, in either n–p–n or p–n–p configuration. The middle, or base, region between the junctions is typically very narrow. The other regions, and their associated terminals, are known as the emitter and the collector. A small current injected through the junction between the base and the emitter changes the properties of the base-collector junction so that it can conduct current even though it is reverse biased.
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James, E. P., M. J. Tudor, S. P. Beeby, N. R. Harris, P. Glynne-Jones, J. N. Ross, N. M. White. 2004. An investigation of self-powered systems for condition monitoring, applications. Sensors and Actuators A, 110, 171–176. Roundy, S., P. K. Wright, and J. Rabaey. 2003.
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In number theory, the Padovan sequence is the sequence of integers P(n) defined. by the initial values :P(0)=P(1)=P(2)=1, and the recurrence relation :P(n)=P(n-2)+P(n-3). The first few values of P(n) are :1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, ... Spiral of equilateral triangles with side lengths which follow the Padovan sequence. The Padovan sequence is named after Richard Padovan who attributed its discovery to Dutch architect Hans van der Laan in his 1994 essay Dom.
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90 n. 69; Barrow (2007); Russell; Zatta; Wogan-Browne (2005) p. 317 n. 27; Zatta (1999) p. 376 n. 27; Barrow (1987) pp. 178, 185. a composition that also attributes Osyth's killing to Ívarr and Ubba and their followers.Barrow (2016) p. 90 n. 69; Bartlett (2016) p. 22; Russell; Zatta; Wogan-Browne (2005) pp. 384–389 §§ 762–839; Frankis (1996) pp.
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When the p–n junction is forward-biased, electric charge flows freely due to reduced resistance of the p–n junction. When the p–n junction is reverse-biased, however, the junction barrier (and therefore resistance) becomes greater and charge flow is minimal.
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147, n. 2; Kapelle, Norman Conquest, p. 242, n. 38; Rollason (ed.), Libellus, pp.
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A p–n junction. The circuit symbol is shown: the triangle corresponds to the p side. A p–n junction is a boundary or interface between two types of semiconductor materials, p-type and n-type, inside a single crystal of semiconductor. The "p" (positive) side contains an excess of holes, while the "n" (negative) side contains an excess of electrons in the outer shells of the electrically neutral atoms there.
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8 ¶ 22; Durkan (1998) p. 129; Hudson, BT (1998) p. 154 n. 23; Hudson, BT (1996) pp. 43 § 128, 84–85 § 128, 85 n.
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71; McLeod, S (2006) p. 154 n. 77; Irvine (2004) p. 50 § 878; Keynes; Lapidge (2004) ch. asser's life of king alfred § 54 n.
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65, 220 n. 33; Etchingham (2001) p. 173; Charles-Edwards (1997) pp. 50, 465 n. 63; Williams, DGE (1997) p. 143; Jennings (1994) pp.
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The group G(m, p, n) is an index-p subgroup of G(m, 1, n). G(m, p, n) is of order mnn!/p. As matrices, it may be realized as the subset in which the product of the nonzero entries is an (m/p)th root of unity (rather than just an mth root). Algebraically, G(m, p, n) is a semidirect product of an abelian group of order mn/p by the symmetric group Sym(n); the elements of the abelian group are of the form (θa1, θa2, ..., θan), where θ is a primitive mth root of unity and ∑ai ≡ 0 mod p, and Sym(n) acts by permutations of the coordinates.
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Any n-vertex forest has pathwidth O(log n)., Theorem 5, p. 99; , Theorem 66, p. 30. gives a tighter upper bound of log3(2n + 1) on the pathwidth of an n-vertex forest.
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162–163; Driscoll (2008) p. 106 n. 146; Chandler (1989) p. 10; Jónsson (1932) p. 337; Unger (1867) p. 156. and Fagrskinna reveal that Sigurðr immediately repudiated BjaðmunjoAalto (2010) pp. 162–163; Driscoll (2008) p. 106 n. 146; Finlay (2004) p. 252 ch.
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6; Wærdahl (2011) p. 49, 49 n. 66; Beuermann (2010) p. 108, 108 n. 29; Woolf (2007) p. 84; Power (2005) p. 46; Sellar (2004); Stringer (2004); Carpenter (2003) ch. 10 ¶ 80; Sellar (2000) p. 204; Duncan; Brown (1956–1957) p. 207.
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544; Breeze (2007) p. 156; Downham (2007) pp. 125 n. 10, 222; Matthews (2007) p. 25; Davidson (2002) pp. 143, 146, 151; Jayakumar (2002) p. 34; Thornton (2001) p. 73. Gesta regum Anglorum describes Maccus as ' ("prince of the pirates" or "pirate king"),Williams, A (2014); Charles-Edwards (2013) p. 543; Matthews (2007) p. 10; Karkov (2004) p. 108, 108 n. 123; Williams, A (2004); Williams, DGE (1997) p. 141; Anderson (1908) p. 77 n. 1; Giles (1847) p. 147 bk. 2 ch. 8; Hardy (1840) p. 236 bk. 2 ch. 148. whilst Chronicon ex chronicis,Williams, A (2014); Charles-Edwards (2013) p. 543; Breeze (2007) p. 153; Downham (2007) p. 124; Matthews (2007) p. 11; Forte; Oram; Pedersen (2005) p. 218; Karkov (2004) p. 108; Williams, A (2004); Davidson (2002) p. 134, 134 n. 111, 142; Etchingham (2001) p. 172; Thornton (2001) pp. 57–58, 71–72; Oram (2000) p. 10; Sellar (2000) p. 189; Williams, DGE (1997) p. 141; Whitelock (1996) pp. 230 n. 1; Jennings, A (1994) pp. 213–214; Stenton (1963) p. 364; Anderson (1908) p. 76; Forester (1854) p. 105; Stevenson, J (1853) p. 247; Thorpe (1848) p. 142. De primo Saxonum adventu,McGuigan (2015b) p. 144, 144 n. 469; Davidson (2002) p. 142, 142 n. 149; Thornton (2001) p.
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3, 355 n. 4; Skene (1886) pp. 327–328 n. 103; Skene (1867) pp. 151, 174, 288, 301; Inverdovat (n.d.). an otherwise uncertain locationWoolf (2007) p. 112; Broun (2004a); Ó Corráin (1998a) § 40 n. 50; Ó Corráin (1998b) p. 333 n. 161.
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Whilst some of these names appear to be forms of , an established British name, others are apparently forms of Amdarch,Clarkson (2014) ch. 7 ¶ 6; Clarkson (2010) ch. 9 ¶ 32; Broun (2005) p. 86 n. 27; Thornton (2001) p. 67 n. 66; Broun (1999) p. 137 n. 30; Broun (1998) p.
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144, 144 n. 469; Davidson (2002) p. 142, 142 n. 149, 145; Thornton (2001) pp. 60–61; Anderson (1908) p. 76 n. 2; Arnold (1885) p. 372. as well as the thirteenth-century Chronica majora,Thornton (2001) p. 60; Luard (1872) pp. 466–467. and both the WendoverThornton (2001) p. 60; Giles (1849) pp. 263–264; Coxe (1841) p. 415.
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It is possible that for all the prime factors p of n, p − 1 is divisible by small primes, at which point the Pollard p − 1 algorithm gives you n again.
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21; McLeod (2011) p. 126, 126 n. 51; Downham (2007) p. xvi.—the terms may instead refer to political power blocs specific to Britain and Ireland.Woolf (2007) p. 107 n. 36.
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73; Duncan; Brown (1956–1957) p. 199. Alan's westward expansion appears to have suddenly ceased by about 1200,Murray, N (2005) p. 289, 289 n. 21; Oram, RD (2000) p. 132.
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124; Duffy (2002b) p. 62; Murray (2002) p. 223; McDonald (1997) p. 184, 184 n. 104; Duffy (1993) p. 207 n. 77; Munro; Munro (1986) p. 282 n. 6; Lamont (1981) p. 168; Thomson (1912) p. 512 §§ 56–58. whilst a certain Alasdair of the Isles received the former Clann Dubhghaill islands of Mull and Tiree.Penman, M (2014) p. 102; Penman, MA (2014) pp. 67–68; Boardman, S (2006) p. 45; Barrow (2005) p. 378; Brown (2004) p. 263; Murray (2002) p. 224; McDonald (1997) p. 184; Duffy (1993) p. 207 n. 77; Duffy (1991) p. 312; Lamont (1981) p. 168; Steer; Bannerman; Collins (1977) p. 203; Thomson (1912) p. 553 § 653.
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Downham (2011) p. 192; Fragmentary Annals of Ireland (2010) § 393; Fragmentary Annals of Ireland (2008) § 393; Downham (2007) pp. 142, 240, 259; Forte; Oram; Pedersen (2005) p. 88; Kelly; Maas (1999) p. 144; Macquarrie (1998) p. 12; Ó Corráin (1998a) § 38 n. 142; Ó Corráin (1998b) p. 331 n. 150; Hudson, BT (1994) p. 51; Ó Murchadha (1992–1993) p. 59; Anderson, AO (1922) p. 303 n. 1.
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68 n. 18; McDonald (1997) pp. 187–188; Duffy (1991) p. 311. or Aonghus Og.Penman, M (2014) p. 358 n. 67; Penman, MA (2014) p. 68 n. 18. No extant traditional genealogical source specifically accords Aonghus Mór and Alasdair Óg with a son named Domhnall.
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3 ¶ 21, 3 n. 21; Hudson, BT (2002) p. 41; Durkan (1998) p. 129; Hudson, BT (1998) p. 154 n. 23; Hudson, BT (1996) pp. 43 § 128, 84–85 § 128, 203–204; Hudson, BT (1994) p. 52; Anderson, AO (1930) p.
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244 n. 2; Lukman (1958) p. 58; Bell (1938) p. 193; Smith, AH (1928–1936b) pp. 176, 178; Conybeare (1914) p. 143 § 878; Giles (1914) p. 54 § 878; Gomme (1909) p. 63 § 878; Mawer (1908–1909) pp. 78, 80 n.
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8 n. 48; Edmonds (2014) p. 210, 210 n. 88; Clarkson (2013); Clarkson (2010) ch. 9; The Annals of Tigernach (2010) § 1030.11; Woolf (2007) p.
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Zhongrui Li also made the first n-SWNT/p-Si photovoltaic device by tuning SWNTs from p-type to n-type through polyethylene imine functionalization.
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Although Maccus appears as a witness in two alleged royal charters of Edgar,Downham (2007) p. 192 n. 93; Thornton (2001) p. 61, 61 n.
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Domhnall appears to be noted by the continuation of the Annales of Nicholas Trevet.Penman, M (2014) pp. 189, 372 n. 92; Murray (2002) p. 229 n. 35; Duffy (1991) p. 311, 311 n. 42, 314.
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As Eubel points out,Eubel p. 338, n. 9. Masetti, p. 315. Touron, p. 208.
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Several sources also state that a son of Somairle was slain in the battle. According to the thirteenth-century Gesta annalia I, Somairle was killed with a son named Gilla Coluim.Sellar (2000) p. 195 n. 32; Duncan; Brown (1956–1957) p. 197 n. 6; Anderson (1922) p. 255 n. 1; Skene (1872) p. 252 ch. 4; Skene (1871) p. 257 ch. 4; Stevenson (1835) p. 79 n. d. It is possible that this source has mistaken the latter's name for Gilla Brigte,Sellar (2004b); Sellar (2000) p. 195 n. 32; Duncan; Brown (1956–1957) p. 197 n. 6. the name that the fourteenth-century Annals of Tigernach accords to Somairle's slain son.Holton (2017) p. 125; The Annals of Tigernach (2016) § 1164.6; McDonald, RA (2007b) p. 76; Annals of Tigernach (2005) § 1164.6; McDonald, RA (1997) p. 62; Anderson (1922) p. 254.
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P&N; is the brand under which Postlethwaite & Netterville (A Professional Accounting Corporation) and its affiliated or subsidiary entities ("P&N; and its affiliates and subsidiaries") operate and provide services to clients. P&N; and its affiliates and subsidiaries consist of the following entities: Postlethwaite & Netterville (A Professional Accounting Corporation), Postlethwaite & Netterville and Associates, L.L.C., Postlethwaite & Netterville, Inc., P&N; Technologies, LLC, and Professional Association Management, Inc.
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Bracken (2004); Duffy (1997) pp. 44–45; Duffy (1993) p. 12; Curtis (1921) p. 118; Candon (1988) p. 411; Rhŷs; Evans (1890) p. 276; Williams Ab Ithel (1860) pp. 68–69. The alliance was formalised by a remarkable marriage between Arnulf and one of Muirchertach's daughters, the record of which is preserved by Historia ecclesiastica,Green (2000) p. 107; Holland (2000) p. 130, 130 n. 90; Chandler (1989) p. 11 n. 65; Candon (1988) p. 411; Vaughn (1987) p. 333 n. 111; Curtis (1921) p. 118, 118 n. 5; Forester (1854b) p. 338 bk. 11 ch. 3; Le Prevost (1852) pp. 177–178 bk. 11 ch. 3. Brenhinedd y Saesson,Duffy (1993) p. 12; Jones; Williams; Pughe (1870) p. 667–668. Brut y Tywysogyon,Lieberman (2010) p. 112; Babcock (2007) p. 53; Power (2005) p. 17, 17 n. 15; Le Patourel (1997) p. 293 n. 1; Duffy (1993) p. 12; Davies, RR (1990) p. 52; Chandler (1989) pp. 10–11; Candon (1988) p. 411; Curtis (1921) p. 118; Rhŷs; Evans (1890) p. 276; Williams Ab Ithel (1860) pp. 68–69.
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The sequence of Bateman polynomials satisfies the recurrence relationBateman (1933), p. 28. :(n+1)^2F_{n+1}(z)=-(2n+1)zF_n(z) + n^2F_{n-1}(z).
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25; McDonald (1997) pp. 168–169; Duffy (1993) p. 174; Duffy (1991) p. 312; Munro; Munro (1986) p. 281 n. 5; Lamont (1981) p. 168; Alexander mac Domhnaill (n.d.); Alexander mac Dubghaill and Alexander mac Domhnaill (n.
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113–114; McGuigan (2015b) pp. 143–144; Edmonds (2014) p. 206, 206 n. 60; Williams (2014); Molyneaux (2011) p. 67; Breeze (2007) p. 154; Downham (2007) p. 124; Matthews (2007) p. 10; Karkov (2004) p. 108; Williams (2004a); Davidson (2002) pp. 140–141, 141 n.
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This article provides a more detailed explanation of p–n diode behavior than that found in the articles p–n junction or diode. A p–n diode is a type of semiconductor diode based upon the p–n junction. The diode conducts current in only one direction, and it is made by joining a p-type semiconducting layer to an n-type semiconducting layer. Semiconductor diodes have multiple uses including rectification of alternating current to direct current, detection of radio signals, emitting light and detecting light.
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Rigg, History of Anglo- Latin Literature, p. 57, and p. 341, n.
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126–127; Sellar (2011) p. 92; Duffy (2007) p. 10; McDonald (2007b) p. 110; Murray, N (2005) p.
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42; Brown (2004) p. 81; Duffy (2004c) p. 47; Verstraten (2003) p. 36 n. 131; McLeod (2002) p.
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Power (2013a) p. 23; McDonald (2007b) p. 78 n. 43; Power (2005) p. 42; Power (1994) p. 218.
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259 n. 7, Mirat-al Istilah, folio 26a; citing, mainly at p. 112 n. 7, probably Saran, P., The Provincial Government of the Mughals (1526–1658) (Allahabad, 1941), pp. 330–331 and 333 (and see p. 111 and n.); and citing, at n. 1, probably Moreland, W. H., The Agrarian System of Moslem India (Cambridge, 1929) (Allahabad, reprint), pp.
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According to Chronicon Æthelweardi, he died in the same year as Edmund.Lewis (2016) p. 22; McTurk, R (2015) pp. 42, 46–47, 213; Downham (2013a) p. 16 n. 33; Downham (2011) p. 192; McLeod, SH (2011) p. 127; Downham (2007) p. 66; McTurk, R (2006) p. 681; Costambeys (2004b); Keynes; Lapidge (2004) ch. asser's life of king alfred § 33 n. 61; Ó Corráin (1979) pp. 315, 319; McTurk, RW (1976) p. 117 n. 174; Whitelock (1969) pp. 223, 227 n. 49; Barker (1967) p. 82; Giles (1906) p. 26 bk. 4 ch. 2; Stevenson, J (1854) p. 428 bk. 4 ch. 2.
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Bretylium synthesis: Burroughs Wellcome Co. R. Tondeur, F. Binon, (1962). Quaternization of o-bromo-N,N-dimethylbenzylamine with ethyl-p-toluenesulfonate yields bretylium p-toluenesulfonate (tosylate).
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The seal of Aonghus Óg's elder brother, Alasdair Óg, chief of Clann Domhnaill.McAndrew (2006) p. 67; McDonald (1995) p. 132; Munro; Munro (1986) p. 281 n. 5; Rixson (1982) pp. 128, 219 n.
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Williams, DGE (1997) p. 143; Sayers (1991) p. 179; Munch; Goss (1874) p. 136 n. c.
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167; Lewis, J (2003) p. 28; Barrow (1999) p. 35; McDonald (1997) p. 222; Duncan (1996) p. 180; McDonald (1995) pp. 211–212; McWilliams (1995) p. 43; Stringer, KJ (1985) p. 298 n. 53; Barrow (1980) p. 67; Anderson; Anderson (1938) pp. 162–164 n. 2; Eyton (1856) pp.
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33; Bhreathnach (2009) p. 268; Beougher (2007) pp. 150–151, 150 n. 226, 151 n. 231; Woolf (2007) p. 225; Jaski (2005); MacShamhráin (2005) pp. 15–17; Oram (2000) p. 12; Flanagan (1996) p. 192; Hudson, BT (1994) p. 113; Gwynn, A (1978) pp. 41–42, 47–48, 47 n. 1.—an eminent religious centre of the people of both Ireland and AlbaDuffy (2009) p. 289; Duffy (1993) p. 25.
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According to the Chronicle of Mann, Somairle's invasion fleet numbered one hundred and sixty ships.Caldwell (2016) p. 352; Martin, C (2014) p. 193; McDonald, RA (2007a) p. 64; McDonald, RA (2007b) pp. 54, 121 n. 86; McDonald, RA (2002) pp. 109, 117 n. 76; McDonald, RA (1995) p. 135; McDonald; McLean (1992) p. 13; Barrow (1960) p. 20; Anderson (1922) p. 255 n. 1; Munch; Goss (1874) pp. 74–75.
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212; Cotton MS Tiberius B I (n.d.). In 945, the "A" version of the eleventh- to thirteenth-century Annales Cambriæ,Gough-Cooper (2015a) p. 27 § a509.3; Keynes (2015) pp. 95–96; Clarkson (2014) ch. 6 ¶ 14, 6 n. 19; Halloran (2011) p. 308, 308 n. 40; Woolf (2010) p. 228, 228 n. 27; Downham (2007) p. 153; Woolf (2007) p. 183; Downham (2003) p. 42; Hicks (2003) p.
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Let G be a cyclic group of order p generated by an element z. Form the semidirect product E(p) of Z[ζ] and G where z acts as multiplication by ζ. The powers Pn are normal subgroups of E(p), and the example groups are E(p,n) = E(p)/Pn. E(p,n) has order pn+1 and nilpotency class n, so is a p-group of maximal class.
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272 n. 27; Kingston (2004) p. 47 n. 90. a branch of the Ó Néill kindred.
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344, 344–345 n. 479; Murray (2002) p. 229 n. 35; Shead; Stevenson; Watt et al (1991) pp. 344–345, 444–445 n.
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22; McTurk, R (2015) pp. 42, 46–47, 213; Downham (2013a) p. 16 n. 33; Downham (2011) p. 192; McLeod, SH (2011) p. 127; Downham (2007) p. 66; McTurk, R (2006) p. 681; Costambeys (2004b); Keynes; Lapidge (2004) ch. asser's life of king alfred § 33 n. 61; Ó Corráin (1979) pp. 315, 319; McTurk, RW (1976) p. 117 n. 174; Whitelock (1969) pp. 223, 227 n. 49; Barker (1967) p. 82; Giles (1906) p. 26 bk. 4 ch. 2; Stevenson, J (1854) p. 428 bk. 4 ch. 2. (While there is reason to believe that Ingware is identical to Ímar, a Viking king later active in Ireland and Scotland,Downham (2018) p. 109; Lewis (2016) p. 22; McTurk, R (2015) pp. 42, 46, 49; Downham (2013a) p. 16, 16 n. 33; Downham (2011) p.
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Some systems of logic have different but analogous laws. For some finite n-valued logics, there is an analogous law called the law of excluded n+1th. If negation is cyclic and "∨" is a "max operator", then the law can be expressed in the object language by (P ∨ ~P ∨ ~~P ∨ ... ∨ ~...~P), where "~...~" represents n−1 negation signs and "∨ ... ∨" n−1 disjunction signs. It is easy to check that the sentence must receive at least one of the n truth values (and not a value that is not one of the n).
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25; Raven (2005a) p. 57; McDonald (1997) p. 84; Barrow (1988) p. 13 n. 69; Dunbar; Duncan (1971) p.
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33; Thornton (1996) p. 95; Duffy (1993) p. 35 n. 19; Duffy (1992) p. 106; Broderick; Stowell (1973) p.
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Activation samples may be placed in a neutron field to characterize the energy spectrum and intensity of the neutrons. Activation reactions that have differing energy thresholds can be used including 56Fe(n,p) 56Mn, 27Al(n,α)24Na, 93Nb(n,2n) 92mNb, & 28Si(n,p)28Al.
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222–223 tab., 224; McDonald (1997) p. 187. a man who suffered the forfeiture of his possessions by Robert I in 1325.Penman, M (2014) pp. 259–260, 391 n. 166; Penman, MA (2014) pp. 74–75, 74–75 n. 42; Petre, JS (2014) p. 272; Barrow (2005) p. 389; Brown, M (2004) p. 267 n. 18; McQueen (2002) p. 287; Murray (2002) p. 224; Roberts (1999) p. 181; McDonald (1997) p. 187; Steer; Bannerman; Collins (1977) p.
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72; McDonald (1997) p. 191. This source is mirrored by several other Irish annals,Penman, MA (2014) p. 71; Barrow (2005) pp. 466 n. 15, 488 n.
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Thus, we should add a condition: "For every prime p, there is an n such that all the polynomial values at n are not divisible by p".
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Diazo compounds can be obtained in an elimination reaction of N-alkyl-N-nitroso compounds,Example: Organic Syntheses, Coll. Vol. 6, p.981 (1988); Vol. 57, p.
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Stenton, p. 236, n. 1 Some historians have argued that it is more probable that he was a brother, including Eric John in 1966John, p. 41, n.
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1, 282 n. 10. Alternately, it is also possible that Domhnall was a son of Alasdair OgPenman, M (2014) p. 358 n. 67; Penman, MA (2014) p.
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The validity of this method can be verified from the usual principle of mathematical induction. Using mathematical induction on the statement P(n) defined as "Q(m) is false for all natural numbers m less than or equal to n", it follows that P(n) holds for all n, which means that Q(n) is false for every natural number n.
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At the time, Carlingford was part of Ulster, however today it located in County Louth. Yet another transaction dated 16 May, in return for the homage and service that he rendered to the English Crown, Rǫgnvaldr and his heirs received a grant consisting of one knight's fee of land at Carlingford, and one hundred measures of corn to be paid yearly at Drogheda for the service of a knight.Veach (2018) p. 173; McDonald (2016) p. 341; Pollock (2015) p. 56 n. 35; Wadden (2014) p. 36; McDonald (2008) pp. 144–145, 144 n. 68, 145 n. 71; McDonald (2007a) pp. 53, 75; McDonald (2007b) pp. 137–138, 137 n. 75, 138 n. 78; Power (2005) p. 46; Davey, P (2002) p. 91; Duffy (2002) p. 54; McDonald (1997) p. 87; Duffy (1993) p. 64; Power (1986) p. 130; Johnsen (1969) p. 24; Sweetman (1875) p. 70 § 428; Oliver (1861) pp. 35–36; Hardy (1837) p. 186; Diplomatarium Norvegicum (n.
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515 tab. 16.1, 516; Foot (2011b) p. 89; Molyneaux (2011) pp. 65–66; Woolf (2007) p. 168; Davidson (2002) pp. 96, 98, 130; Kirby (1976) p. 5 n. 35; Eogan mac Domnaill 1 (n.
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Sylow's test: Let n be a positive integer that is not prime, and let p be a prime divisor of n. If 1 is the only divisor of n that is equal to 1 modulo p, then there does not exist a simple group of order n. Proof: If n is a prime-power, then a group of order n has a nontrivial centerSee the proof in p-group, for instance. and, therefore, is not simple.
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Neil, Full Disclosure, p. 302.Campbell, Margaret Thatcher, Volume Two, p. 562, n.
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Perhaps the latter reneged on a promise to render homage.Clarkson (2012a) ch. 9. According to Chronicon ex chronicis the King of Alba had indeed broke a treaty with Æthelstan, and that the former was forced to give up a son as an English hostage.Firth (2018) p. 46; Clarkson (2014) ch. 5; Foot (2011a); Halloran (2005) p. 137, 137 n. 25; Davidson (2002) p. 95, 95 n. 103, 104, 104 n. 140; Whitelock (1996) p. 222 n. 2; Anderson (1908) pp. 67 n. 4, 69; Forester (1854) p. 97; Stevenson (1853) pp.
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Consider two voltaic cells of unequal voltage. Mark the positive and negative electrodes of each one as P and N, respectively. Place them in a circuit with P near P and N near N, so the cells will tend to drive current in opposite directions. The cell with the larger voltage is discharged, making it a galvanic cell, so P is the cathode and N is the anode as described above.
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30 ch. 17; Beuermann (2012) p. 1; McDonald (2012) p. 163; McDonald (2008) pp. 142–143; McDonald (2007b) p. 133; Power (2005) p. 38; Beuermann (2002) p. 420 n. 6; Oram (2000) p. 115; Argyll: An Inventory of the Monuments (1982) p. 143 § 4; Anderson (1922) pp. 378–381, 379 n.
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92; Anderson (1922) p. 476, 476 n. 12; Jónsson (1916) p. 557 ch. 169; Kjær (1910) p.
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34; Butter (2007) p. 141, 141 n. 121; McDonald, RA (2007a) p. 71; McDonald, RA (2007b) p.
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2 p. 16English Place-Name Society (1926), p. xiv, cited in Hodgkins, A History, p. 188 n.
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88; Oram, R (2004) p. 118; McDonald, RA (2000) p. 175 n. 55; McDonald, RA (1997) p.
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13; Sellar (2004a); Tabraham (2004) p. 19; Dalglish (2003) p. 158; MacGregor, M (2002) p. 236 n.
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312; Munro; Munro (1986) p. 281 n. 5; Lamont (1981) p. 168; Steer; Bannerman; Collins (1977) p.
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Suurmestari Juhani Vuoren puhe Donatus 174:n ja Igelsta 175:n vihkimistilaisuudessa. Koilliskulma 1/2015, p. 10.
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285 n. 103; McNamee (2012b) ch. 2 ¶ 20; Shead; Stevenson; Watt et al (1991) p. 444 n.
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285 n. 103; McNamee (2012b) ch. 2 ¶ 20; Shead; Stevenson; Watt et al (1991) p. 444 n.
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16; Anderson (1922) p. 476, 476 n. 1; Skene (1867) p. 151. The thirteenth-century Verse Chronicle,Broun (2005) pp. 87–88 n. 37; Skene (1867) p. 179. the Chronicle of Melrose,Clarkson (2010) ch. 9 ¶¶ 32–33; Woolf (2007) p.
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58–59; Holland (2000) pp. 129–130, 130 n. 86; Oram, RD (2000) p. 43; Duffy (1997) p. 43; Ní Mhaonaigh (1995) p. 375, 375 n. 71; Duffy (1993) pp. 37–38; Duffy (1992) pp.
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439 n. 1; Patent Rolls of the Reign of Henry III (1901) p. 205; Sweetman (1875) pp. 133–134 § 898; Oliver (1861) p. 47; Rymer; Sanderson; Holmes (1739) pt. 1 p. 79; Diplomatarium Norvegicum (n.
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Denarius, struck 140 AD with portrait of Antoninus Pius (obverse) and his adoptive son Marcus Aurelius (reverse). Inscription: ANTIVS P. P., TR. P., CO[N]S. III / AVRELIVS CAES. AVG. PII F. CO[N]S.
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A summand in a partition is also called a part. The number of partitions of n is given by the partition function p(n). So p(4) = 5.
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Nothing further is known regarding Bagsecg's background.Keynes; Lapidge (2004) ch. asser's life of king alfred § 37 n. 68; Whitelock (1996) p. 198 n. 2; Brooks (1979) p. 8.
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A stable diphosphene, a derivative of phosphorus(I). These compounds generally feature P–P bonds.Greenwood, N. N.; & Earnshaw, A. (1997). Chemistry of the Elements (2nd Edn.), Oxford:Butterworth-Heinemann. .
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A. de Laueda (1114),Cartulaire de Bigorre ; pour Arnaldo de Laueda (n. de p.). Aramon Garsie de Lavedan (1283),Procès Bigorre ; Raymond Garcie de Lavedan (n. de p.).
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378; Brown, M (2004) p. 263; Murray (2002) p. 224; McDonald (1997) p. 184, 184 n. 104; Duffy (1993) p.
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169, 169 n. 16; Oram (2000) p. 76; Duffy (1999) p. 356; Durkan (1998) p. 137; McDonald, RA (1997) p.
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108, 108 n. 556; Simms (2001) p. 6; Simms (1998) p. 80; Lydon (1994) p. 153; Moody; Martin (1994) p.
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Duffy (2007) p. 10; McDonald, RA (2007b) p. 110; Murray, N (2005) p. 291; Duffy (2004c) p. 47; Oram, RD (2000) p.
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3; Caldwell, DH (2012) p. 284; McNamee (2012a) ch. 5, 5 n. 26; McNamee (2012b) chs. 1 ¶ 23, 2 ¶ 4; Duncan (2007) p. 144 n. 659–78; Duffy (1993) p. 180; Barrow (2005) pp. 191–193; 437–438 n. 11, 459 n. 9; Dunbar; Duncan (1971) pp. 4–5; Johnston (1918); Riley (1873) pp. 347–353; Document 5/3/0 (n.d.).
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Paul Erdős (in ) observed that, when n is a prime number, the set of n grid points (i, i2 mod n), for 0 ≤ i < n, contains no three collinear points. When n is not prime, one can perform this construction for a p × p grid contained in the n × n grid, where p is the largest prime that is at most n. As a consequence, for any ε and any sufficiently large n, one can place :(1 - \epsilon)n points in the n × n grid with no three points collinear. Erdős' bound has been improved subsequently: show that, when n/2 is prime, one can obtain a solution with 3(n - 2)/2 points by placing points on the hyperbola xy ≡ k (mod n/2), where k may be chosen arbitrarily as long as it is nonzero mod n/2.
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If we reverse the direction of the currents (i.e. apply the current I42 and measure V31, P, and repeat for I31 and V24, P), then V13, P should be the same as V31, P to within a suitably small degree of error. Similarly, V42, P and V24, P should agree. Having completed the measurements, a negative magnetic field is applied in place of the positive one, and the above procedure is repeated to obtain the voltage measurements V13, N, V42, N, V31, N and V24, N.
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UDP-N-acetylglucosamine—undecaprenyl-phosphate N-acetylglucosaminephosphotransferase (, UDP-N-acetylglucosamine:undecaprenyl- phosphate GlcNAc-1-phosphate transferase, WecA, WecA transferase, UDP- GIcNAc:undecaprenyl phosphate N-acetylglucosaminyl 1-P transferase, GlcNAc-P- P-Und synthase, GPT, TagO, UDP-GlcNAc:undecaprenyl-phosphate GlcNAc-1-phosphate transferase, UDP-N-acetyl-D-glucosamine:ditrans,octacis- undecaprenyl phosphate N-acetylglucosaminephosphotransferase) is an enzyme with systematic name UDP-N-acetyl-alpha-D-glucosamine:ditrans,octacis- undecaprenyl phosphate N-acetyl-alpha-D-glucosaminephosphotransferase. This enzyme catalyses the following chemical reaction : UDP-N-acetyl-alpha-D- glucosamine + ditrans, octacis-undecaprenyl phosphate \rightleftharpoons UMP + N-acetyl-alpha-D-glucosaminyldiphospho-ditrans, octacis-undecaprenol This enzyme catalyses the synthesis of ditrans, octacis-undecaprenyl-N-acetyl- alpha-D-glucosaminyl diphosphate.
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McDonald, RW (2015) pp. 74–75, 74 n. 23; Wadden (2014) pp. 18, 29–30, 30 n. 78; Annals of the Four Masters (2013a) § 1154.11; Annals of the Four Masters (2013b) § 1154.11; Oram, RD (2011) pp. 113, 120; Wadden (2013) p. 208; Butter (2007) p. 141, 141 n. 121; McDonald, RA (2007a) p. 71; McDonald, RA (2007b) p. 118; Pollock (2005) p. 14; Duffy (2004b); Simms (2000) p.
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In mathematics, Ihara's lemma, introduced by and named by , states that the kernel of the sum of the two p-degeneracy maps from J0(N)×J0(N) to J0(Np) is Eisenstein whenever the prime p does not divide N. Here J0(N) is the Jacobian of the compactification of the modular curve of Γ0(N).
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The N region attached to MT2 does not participate significantly. In quadrants 3 and 4, MT2 is negative, and current flows from MT1 to MT2, also through P, N, P and N layers. The N region attached to MT2 is active, but the N region attached to MT1 only participates in the initial triggering, not the bulk current flow.
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Anderson, Early Sources, vol. i, p. 575, n. 1O; Oram, Lordship of Galloway, p.
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467 n. 2 tab. Rǫgnvaldr,McDonald (2019) p. ix tab. 1; Oram (2011) p.
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Crawford, "Bishops of Orkney", p. 1, n. 1, for details; Thomson, New History, p.
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Also, we see that n^2 = 0. Since k is of characteristic p, we have x^p=s^p + n^p = s^p. Also, since \overline x = \overline s in A/J, we have h(\overline s) = h(\overline x), therefore h(s) - h(x)\in J in V. Since (x^p-a)J=0, we have (x^p-a)h(x) = (x^p-a)h(s). Combining these results we get x=s + n = s + (s^p - a)h(s).
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355 n. 9; Fjalldal (2003) p. 101 n. 3; Halldórsson (2000) pp. 58–59; Whitelock (1969) p. 227. The earliest source claiming kinship between the two is the Annals of St Neots,Finlay (2009) p. 48.
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Chandler (1989) p. 11 n. 76. Despite the correspondence evidencing Anselm's reconciliation of Henry with Arnulf, the latter never held land in England ever again,Hollister (1973a) p. 121; Mason, JFA (1963) p. 24 n. 2.
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The Korean communities of the porpoise are sometimes known as sanggwaengi (); the Chinese, particularly the subspecies N. p. asiaorientalis, as jiangtun (, p jiāngtún, "river piglet"); and the Japanese, particularly the subspecies N. p. sunameri, as sunameri ().
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Hexacoordinate phosphorus molecules involving nitrogen, oxygen, or sulfur ligands provide examples of Lewis acid-Lewis base hexacoordination. For the two similar complexes shown below, the length of the C-P bond increases with decreasing length of the N-P bond; the strength of the C-P bond decreases with increasing strength of the N-P Lewis acid-Lewis base interaction. Relative bond strengths in hexacoordinated phosphorus compounds. In A, the N-P bond is 1.980Å long and the C-P is 1.833Å long, and in B, the N-P bond increases to 2.013Å as the C-P bond decreases to 1.814Å.
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The same is true for any power of g: conjugates of g^n are roots of polynomial :x^3-Tr(g^n)\\!\ x^2 + Tr(g^n)^p x -1 and this polynomial is completely determined by Tr(g^n). The idea behind using traces is to replace g^n \in GF(p^6) in cryptographic protocols, e.g. the Diffie–Hellman key exchange by Tr(g^n) \in GF(p^2) and thus obtaining a factor of 3 reduction in representation size.
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295–296; Duffy (2006) p. 58; Hudson, BT (2005) p. 167; Hudson, B (1994b) p. 152, 152 n.
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100; Finlay; Faulkes (2015) p. 136 ch. 11; Jakobsson (2013) p. 128, 128 n. 24; Magnúsdóttir (2013) p.
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27; Charles-Edwards (2013b) p. 515 tab. 16.1; Wood (2013) p. 141, 141 n. 22; Foot (2011b) p.
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92; Márkus (2009a) p. 50; Webb, N (2004) pp. 123–124; Duncan (1996) p. 180; Eyton (1858b) p.
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2; Anderson (1922) p. 542 n. 3; Calendar of the Patent Rolls (1906) p. 469; Oliver (1861) p.
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342; Oram (2011) p. 49 n. 40; Forte; Oram; Pedersen (2005) p. 237; Kostick (2003); Runciman (1999) p.
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McAndrew (2006) p. 67; McDonald (1995) p. 132; Munro; Munro (1986) p. 281 n. 5; Rixson (1982) pp.
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900; Forte; Oram; Pedersen (2005) p. 232; Oram (2000) p. 18; Duffy (1992) p. 102; Ó Corráin (n.
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121; Maxwell (1913) p. 188; Stevenson (1839) p. 212. Gesta Annalia II,Young (2018) p. 125, 125 n.
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The exportation of these people to Ireland is also attested by Annales Xantenses, a ninth-century German source.Sheehan (2008) p. 294 n. 64; Holm (1986) p. 321, 321 n.
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517 n. 5; Murphy (1896) p. 163. the Annals of Ulster,The Annals of Ulster (2017) § 997.5; The Annals of Ulster (2008) § 997.5; Woolf (2007) p. 184, 184 n.
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223 n. 6. For instance, Adam may well have referred to a Scottish, Irish,Woolf (2007a) p. 223 n. 6; Hudson, BT (2005) pp. 74–75; Downham (2004) p.
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Although the work is undated, a watermark dates the paper upon which it is written to 1829.Sutherland (2009) p. 143 n. 60; Sutherland (2005) p. 130 n. 60.
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In: Associazione Italiana Piante Carnivore. p. 24. The species is closely related to N. hamata and N. tentaculata.
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1–2 (February/August, 2006), as accessed October 28, 2012, 1:05 p.m., p. 190 & n. 96 (n.
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Morris, Richard B., White Bondage in Ante-Bellum South Carolina, op. cit., p. 201 & n. 52 (n. omitted).
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H. Pichon, N. Rolland and N. Orlova. D2.1.1 Inventory Report. European Coastal Erosion database. European Commission, 2002. p.
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66 n. 7; Beuermann (2008); McDonald, RA (2007b) p. 72; Williams, G (2007) pp. 146–147, 147 n.
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H. Pichon, N. Rolland and N. Orlova. D2.1.1 Inventory Report. European Coastal Erosion database. European Commission, 2002. p.
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J R Evans, L/Cpl. J R Dick, P/N. N Valentine, 2nd Lieut. J Teare, 2ns Lieut.
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303 n. 86; Bliss (1893) p. 231; Diplomatarium Norvegicum (n.d.) vol. 7 § 17; Document 2/143/67 (n.
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275–276 n. 56; Mason, JFA (1963) pp. 17–18 n. 4; Schmitt (1949) p. 185 § 270. Itinerarium Kambriæ,Thorpe, L (1978) p. 149 bk. 1 ch 12; Mason, JFA (1963) pp. 17–18 n. 4; The Itinerary Through Wales (1908) p. 83 bk. 1 ch. 12; Dimock (1868) p. 90 bk. 1 ch. 12. the twelfth-century Vita Anselmi,Mason, JFA (1963) pp. 17–18 n. 4; Southern (1962) pp. 146–147, 152–153; Rule (1884) pp. 419, 425. the twelfth- century Historia ecclesiastica,Mason, JFA (1963) pp. 17–18 n. 4; Southern (1962) p. 146 n. 1; Cokayne; White (1949) p. 687 n. d; Forester (1854b) pp. 33–34 bk. 8 ch. 25, 338 bk. 11 ch. 3; Le Prevost (1845) pp. 425–426 bk. 8 ch. 25; Le Prevost (1852) p. 177 bk. 11 ch. 3. the thirteenth- and fourteenth- century Brut y Tywysogyon,Mason, JFA (1963) pp. 17–18 n. 4. the twelfth- century Warenne Chronicle,Mason, JFA (1963) pp. 17–18 n. 4; Edwards (1868) p. 306.
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This amounts to saying that n is the value of f(m). The game is now brought down to the elementary n=f(m), which is won by the machine if and only if n is indeed the value of f(m). Let p be a unary predicate. Then ⊓x(p(x)⊔¬p(x)) expresses the problem of deciding p, ⊓x(p(x)&ᐁ¬p(x)) expresses the problem of semideciding p, and ⊓x(p(x)⩛¬p(x)) the problem of recursively approximating p.
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167; Hudson, B (1994b) p. 152, 152 n. 41; Duffy (1992) p. 102; Candon (1988) p. 399; Richter (1985) p. 336.
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47; McDonald (1997) p. 90; Duncan; Brown (1956–1957) p. 201; Anderson (1922) p. 464, 464 n. 4; Jónsson (1916) p.
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Penman, MA (2014) p. 66; Roberts (1999) p. 131; Maclean-Bristol (1995) p. 168; Munro; Munro (1986) p. 281 n. 6.
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11; McAndrew (2006) p. 62; Forte; Oram; Pedersen (2005) p. 243; Barrow (2004); Webb, N (2004) p. 156; Duncan (1996) p.
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124; Wyatt (1999) p. 615; Duffy (1993) p. 41; Duffy (1992) p. 122, 122 n. 148; Jones; Williams; Pughe (1870) p.
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"designated successor",McGowan (2003–2004) p. 377. "heir apparent".Jorgensen (2017) p. 44; Ó Cróinín (2013) ch. 3 ¶ 17; Heather (2009) ch. n. 6; Ó Murchadha (1992–1993) p. 68. "heir-apparent of a king", "king designate",Anderson (1922) p. 278 n. 5.
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The (n-p) reaction, or (n,p) reaction, is an example of a nuclear reaction. It is the reaction which occurs when a neutron enters a nucleus and a proton leaves the nucleus simultaneously. For example, sulfur-32 (32S) undergoes an (n,p) nuclear reaction when bombarded with neutrons, thus forming phosphorus-32 (32P). The nuclide nitrogen-14 (14N) can also undergo an (n,p) nuclear reaction to produce carbon-14 (14C).
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Aristotelian logic is a good example – based on one's life-experiences it just seems "logical" that an object of discourse either has a stated property (e.g. "This truck is yellow") or it does not have that property ("This truck is not yellow") but not both simultaneously (the Aristotelian Law of Non-Contradiction). The primitive form of the induction axiom is another – if a predicate P(n) is true for n = 0 and if for all natural numbers n, if P(n) being true implies that P(n+1) is true, then P(n) is true for all natural numbers n. Hilbert's axiomatic system – his formalism – is different.
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In the expected utility theory of von Neumann and Morgenstern, four axioms together imply that individuals act in situations of risk as if they maximize the expected value of a utility function. One of the axioms is an independence axiom analogous to the IIA axiom: :If \,L\prec M, then for any \,N and \,p\in(0,1], ::\,pL+(1-p)N \prec pM+(1-p)N, where p is a probability, pL+(1-p)N means a gamble with probability p of yielding L and probability (1-p) of yielding N, and \,L\prec M means that M is preferred over L. This axiom says that if one outcome (or lottery ticket) L is considered to be not as good as another (M), then having a chance with probability p of receiving L rather than N is considered to be not as good as having a chance with probability p of receiving M rather than N.
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6; Brown (1927) p. 275; Anderson (1922) pp. 254–255; Anderson (1908) p. 243 n. 2; Stevenson, J (1856) p. 130; Stevenson, J (1835) p. 79. Gesta annalia I,Sellar (2000) p. 195 n. 32; Anderson (1922) p. 255 n. 1; Skene (1872) p. 252 ch. 4; Skene (1871) p. 257 ch. 4. the fifteenth-century Mac Carthaigh's Book,Mac Carthaigh's Book (2016a) § 1163.2; Mac Carthaigh's Book (2016b) § 1163.2; Duffy (1993) p. 45. and the fifteenth-century Scotichronicon.Pollock (2005) p. 14; Watt (1994) pp. 262–265; Goodall (1759) p. 452 bk. 8 ch. 6.
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By the induction hypothesis, P' determines at least n − 1 lines. The ordinary line determined by a and b is not among these, so P determines at least n lines.
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Festus s.v. delubrum p. 64 M; G. Colonna "Sacred Architecture and the Religion of the Etruscans" in N. Thomas De Grummond The Religion of the Etruscans 2006 p. 165 n.
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Papilio nephelus is a species of swallowtail butterfly belonging to the family Papilionidae. Subspecies include P. n. chaon, the yellow Helen, and P. n. sunatus, the black and white Helen.
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Arohana & Avarohana Arohana: S m R m P n S' Avarohana: S' n P m R m 'n R S Pakad R R S 'n S m R P m R 'n S Vadi & Samavadi In this raga vadi is Sa and samavadi is Pa - Re is used a lot but always sliding down from M, n always slides from P Organization & Relationships Related ragas: Ragas of Malhar family, namely Megh Malhar, Miyan ki Malhar, Gaud Malhar, Ramdasi Malhar, Dhuliya Malhar, etc. as well as Madhmad Sarang. Thaat: Kafi. Mixture The meaning of Megh in Sanskrit is 'Cloud'.
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862; Forte; Oram; Pedersen (2005) p. 225; Jaski (2005); MacShamhráin (2005) p. 17; Oram (2000) p. 46 n. 66.
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96; Anderson (1922) p. 492 n. 2. the Chronicle of Melrose,Oram (1988) p. 141; Anderson (1922) p. 492.
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138; Duncan; Brown (1956–1957) p. 201; Anderson (1922) p. 464, 464 n. 4; Jónsson (1916) p. 555 ch.
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16b Fowler (Fowler 2000, p. 286); Hesiod, Theogony 333–336; Fowler 2013, p. 28; Ogden 2013a, p. 149 n.
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16b Fowler (Fowler 2000, p. 286); Hesiod, Theogony 333–336; Fowler 2013, p. 28; Ogden 2013a, p. 149 n.
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Clarkson (2014) ch. 4, 4 n. 11; Broun (2004) p. 128; Hudson (2002) p. 37; Dumville, D (2000) p.
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53; Woolf (2007) p. 261; Swanton (1998) p. 185 n. 17; Broun (2004c) pp. 133–134; Anderson (1908) p.
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166; Duffy (1991) p. 305; Wagner (1960) p. 72; Cokayne; Doubleday; Howard de Walden (1936) p. 79, 79 n.
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192; Forte; Oram; Pedersen (2005) p. 252; Duncan; Brown (1956–1957) p. 201; Anderson (1922) p. 476, 476 n.
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Kuster; Eudoc. p. 384; Westermann, Vitarum Script. Graec. Min. p. 152, n. 65; Fabricius, Bibl. Graec. vol. ii. p.
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48; McDonald (2008) p. 134; Macniven (2006) 178 n. 172; Duffy (2004a); Duffy (2002a) p. 56; Sellar (2000) p.
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53; Oram (1992) p. 39; Shead; Stevenson; Watt et al (1991) p. 434 n. 34; Reid, NH (1984) p.
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38; Beuermann (2002) p. 420 n. 6; Argyll: An Inventory of the Monuments (1982) p.
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Contemporary datasets often have the number of input variables (p) comparable with or even much larger than the number of samples (n). It has been shown that if p/n does not converge to zero, the classical PCA is not consistent. But sparse PCA can retain consistency even if p\gg n.
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Likewise the first procedure should return Λ if there are no candidates at all for the instance P. The brute-force method is then expressed by the algorithm c ← first(P) while c ≠ Λ do if valid(P,c) then output(P, c) c ← next(P, c) end while For example, when looking for the divisors of an integer n, the instance data P is the number n. The call first(n) should return the integer 1 if n ≥ 1, or Λ otherwise; the call next(n,c) should return c + 1 if c < n, and Λ otherwise; and valid(n,c) should return true if and only if c is a divisor of n. (In fact, if we choose Λ to be n + 1, the tests n ≥ 1 and c < n are unnecessary.)The brute-force search algorithm above will call output for every candidate that is a solution to the given instance P. The algorithm is easily modified to stop after finding the first solution, or a specified number of solutions; or after testing a specified number of candidates, or after spending a given amount of CPU time.
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86; Swanton, M (1998) p. 77 § 878; Whitelock (1996) p. 201, 201 n. 19; Bately (1991) p. 38; McTurk, RW (1976) p.
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Baden-Baden: Nomos, 2010, p. 1601. . See also Politics and Political Parties..., p. 57. See also N. Petrescu, p. 315; Moldovan, p.
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The Pakad is "m P n d P, m P g, R m P" It is usually performed in morning (9-12pm).
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212; Barrow (1992) p. 79 n. 49; Cowan, IB (1978) p. 21; Thomson (1968) p. 66; Duncan; Brown (1956–1957) p. 209.
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The Verkade base is generated by the reaction of N,N,N-trimethyltren with tris(dimethylamino)phosphine: :P(NMe2)3 \+ (MeNHCH2CH2)3N → P(MeNCH2CH2)3N + 3 Me2NH The principal reaction of the Verkade base is protonation. The proton attacks the Verkade base at phosphorus, inducing the formation of a transannular P-N bond. The product exemplifies the structure of an atrane. Protonation of Verkade base.
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In 1973, Stefan Burr and Paul Erdős made the following conjecture: :For every integer p there exists a constant cp so that any p-degenerate graph G on n vertices has Ramsey number at most cp n. That is, if an n-vertex graph G is p-degenerate, then a monochromatic copy of G should exist in every two-edge-colored complete graph on cp n vertices.
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The same can be said for the dual P-Channel JFETs. Although, complementary P and N-Channels are built with the same process technology, because of basic differences between the construction of P and N channel devices, electrical specifications such as mobility and transconductance are slightly different for the P and N-Channel JFETs.“Difference between n-channel FET vs p-channel FET” RF Wireless World, 2012W. Alan Davis, Krishna Agarwal (2001) , “Radio Frequency Circuit Design”, Appendix F, Wiley The complementary and matched nature of the dual N-channel and dual P-channel JFETs is fundamental to the building of many analog circuits, most notably amplifiers.
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289, n. 35 and after 24...a5 the game was even (Polugaevsky).Matanović 1987 (Vol D), p. 354, n.
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140 n. 21. Apollodorus, 2.5.8 would seem to locate Eurystheus' "portal" in Mycenae, see Race, p. 403 n. 13.
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It is possible that Dungal regarded John MacDougall as a kinsman.Barrow (2005) p. 472 n. 30; Simpson; Galbraith (n.
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331; Smyth (1989) p. 215; Holm (1986) p. 321, 321 n. 10; Pelteret (1980) p. 106, 106 n. 64; Ó Corráin (1979) p. 319; Alcock (1975–1976) p. 106; Anderson, AO (1922) pp. 302–303; Beaven (1918) p. 337 n. 36. and the eleventh-century Fragmentary Annals of Ireland reveal that Amlaíb and Ímar returned to Ireland with a fleet of two hundred ships, and a mass of captives composed of English, Britons, and Picts.
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79 n. 49; Cowan, IB (1978) p. 21; Duncan; Brown (1956–1957) p. 209. Nevertheless, Dubgall's attestation in Durham could indicate that he was closely associated with William I.Duncan (1996) p. 198, 198 n. 22; Barrow (1992) p. 79 n. 49. If the latter was involved in the creation of the diocese, he could well have facilitated the lords of Argyll in their ecclesiastical endeavours.Duncan (1996) p. 276; Cowan, IB (1978) p. 21.
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Step 1: Find a polynomial p such that, writing b(n) = a(n)/p(n), the ratio b(n)/b(n − 1) has the form q(n)/r(n) where q and r are polynomials and no q(n) has a nontrivial factor with r(n + j) for j = 0, 1, 2, ... . (This is always possible, whether or not the series is summable in closed form.) Step 2: Find a polynomial ƒ such that S(n) = q(n + 1)/p(n) ƒ(n) a(n). If the series is summable in closed form then clearly a rational function ƒ with this property exists; in fact it must always be a polynomial, and an upper bound on its degree can be found. Determining ƒ (or finding that there is no such ƒ) is then a matter of solving a system of linear equations.
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207 n. 77; Duffy (1991) p. 312; Munro; Munro (1986) p. 281 n. 5; Lamont (1981) p. 168; Steer; Bannerman; Collins (1977) p. 203; Thomson, JM (1912) p. 553 § 653. This man could have been a son of Aonghus Óg,Penman, M (2014) p. 102; Penman, MA (2014) pp. 67–68; Boardman, S (2006) p. 45; Murray (2002) p. 224; McDonald (1997) p.
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Doubling a fraction with an odd denominator however results in a fraction of the form 2/n. The RMP 2/n table and RMP 36 rules allowed scribes to find decompositions of 2/n into unit fractions for specific needs, most often to solve otherwise un-scalable rational numbers (i.e. 28/97 in RMP 31,and 30/53 n RMP 36 by substituting 26/97 + 2/97 and 28/53 + 2/53) and generally n/p by (n - 2) /p + 2/p. Decompositions were unique.
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A positive integer n is square-free if and only if in the prime factorization of n, no prime factor occurs with an exponent larger than one. Another way of stating the same is that for every prime factor p of n, the prime p does not evenly divide n / p. Also n is square-free if and only if in every factorization n = ab, the factors a and b are coprime. An immediate result of this definition is that all prime numbers are square-free.
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27 n. 138; Duffy (2004b); Woolf (2003) p. 178; McDonald, RA (1997) p. 85; Anderson (1922) p. 457; Munch; Goss (1874) pp. 84–85. This identification suggests that the man was a member of Clann Somhairle,McDonald, RA (2007a) p. 73 n. 35; McDonald, RA (2007b) p. 117; Woolf (2007) p. 81.
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The centers of regular n-gons constructed over the sides of an n-gon P form a regular n-gon if and only if P is an affine image of a regular n-gon.A. Barlotti, Intorno ad una generalizzazione di un noto teorema relativo al triangolo, Boll. Un. Mat. Ital. 7 no.
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The frequency (p) of an allele A is the fraction of the number of copies (i) of the A allele and the population or sample size (N), so :p = i/N.
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Bipolar transistors are so named because they conduct by using both majority and minority carriers. The bipolar junction transistor, the first type of transistor to be mass-produced, is a combination of two junction diodes and is formed of either a thin layer of p-type semiconductor sandwiched between two n-type semiconductors (an n–p–n transistor), or a thin layer of n-type semiconductor sandwiched between two p-type semiconductors (a p–n–p transistor). This construction produces two p–n junctions: a base-emitter junction and a base-collector junction, separated by a thin region of semiconductor known as the base region. (Two junction diodes wired together without sharing an intervening semiconducting region will not make a transistor).
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140; Downham (2013a) p. 18; Gigov (2011) p. 73; McLeod, SH (2011) p. 189, 189 n. 54; Kirby (2002) p. 174; Beaven (1918) p. 338.
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The Book of Clanranald numbers the men at eighty.McLeod (2005) p. 43; Kingston (2004) p. 47, 47 nn. 89–90; MacGregor (2000) pp. 15–16; Ó Mainnín (1999) p. 28 n. 95; Steer; Bannerman; Collins (1977) p. 203, 203 n. 3; Macbain; Kennedy (1894) pp. 158–159. The Uí Catháin of Ciannachta were a major branch of the Uí Néill kindred,Kingston (2004) p. 47, 47 n. 89.
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A number that belongs to a singleton club, because no other number is "friendly" with it, is a solitary number. All prime numbers are known to be solitary, as are powers of prime numbers. More generally, if the numbers n and σ(n) are coprime – meaning that the greatest common divisor of these numbers is 1, so that σ(n)/n is an irreducible fraction – then the number n is solitary . For a prime number p we have σ(p) = p + 1, which is co-prime with p.
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If we define the following simple grammar: : variables : A B C : constants : none : start : A : rules : (A -> B), (B -> C), (C -> AB) then this Lindenmayer system or L-system produces the following sequence of strings: : n = 0 : A : n = 1 : B : n = 2 : C : n = 3 : AB : n = 4 : BC : n = 5 : CAB : n = 6 : ABBC : n = 7 : BCCAB : n = 8 : CABABBC and if we count the length of each string, we obtain the Padovan sequence of numbers: : 1 1 1 2 2 3 4 5 ... Also, if you count the number of As, Bs and Cs in each string, then for the nth string, you have P(n − 5) As, P(n − 3) Bs and P(n − 4) Cs. The count of BB pairs and CC pairs are also Padovan numbers.
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Typically process models (example HSPICE ) include process corners based on Front End Of Line conditions. These often are centered at a typical or nominal point and will also contain Fast and Slow corners often separated into Ntype and Ptype corners that affect the non-linear active N+ / P+ devices in different ways. Examples are TT for nominal N+ and P+ transistors, FF for fast N+ and P+ transistors, FS for fast N+ and slow P+ transistors, etc.
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Orphic Fragment 58 Kern = Athenagoras, Apology 20 (p. 397); van den Broek, p. 137 n. 20; Fowler 2013, p. 9.
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83; Stevenson, WH (1904) p. 265, 265 n. 1; Hardy; Martin (1889) p. 101 §§ 3146–3158; Hardy; Martin (1888) p.
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7 ¶ 5; Charles-Edwards (2013b) p. 544; Molyneaux (2011) p. 66; Keynes (2008) p. 50 n. 232; Davidson (2002) pp.
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33; Annals of Loch Cé (2005) § 1259.3; Kenny (2005) p. 103; McLeod (2005) p. 43, n. 79; Power (2005) p.
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Penman, M (2014) p. 102; Penman, MA (2014) p. 66; Boardman, S (2007) p. 105 n. 65; Duncan (2007) pp.
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131; Barrow (1980) p. 68, 68 n. 39; Duncan; Brown (1956–1957) p. 203; Registrum Monasterii de Passelet (1832) p.
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Macphail (1914) p. 106 n 2. A seal of green wax is attached to the second charter is blazoned a bend surmounted of a label of five points in chief, and reads in Latin "S Gilecrist Macnachten".Macphail (1914) p. 106 n 2; Lindsay; Dowden; Thomson (1908) pp. 65 n. 1, 315; Macdonald (1904) p.
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Barker (2017); Boardman (2006) p. 30 n. 34; Jennings (1994) p. 143; Argyll: An Inventory of the Monuments (1992) p. 258 § 119; Cowan (1990) p. 122; Easson (1986) p. 149; Munro; Munro (1986) p. 87 § 58; Sellar (1971) p. 27; McKerral (1951) p. 5; Campbell (1911) pp. 277, 278 n. 1; Paul (1909) pp. 130–131; Brown, A (1889) p. 189; Fraser (1888a) p.
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387; Hudson, B (1994b) p. 146; Duffy (1993a) p. 6; Maund (1993) pp. 164–165; Richter (1985) p. 336; Hudson, B (1979); Freeman (1876) pp. 158, 224–225. He later sheltered Harold's sons following the eventual English defeat at the hands of the Normans,Downham (2018) p. 112; Ní Mhaonaigh (2018) p. 139; Wyatt (2018) p. 791 n. 196; Barlow (2013) pp. 168–169; Duffy (2009) p. 295; Wyatt (2009) p. 385, 385 n. 196; Hudson, B (2005a); Downham (2004) p. 68; Hudson, BT (2004a); Duffy (1995) p. 387; Hudson, B (1994b) p. 146, 146 n. 9; Duffy (1993a) p.
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8; Plummer; Earle (1892) p. 70 n. 3; Thorpe (1861a) p. 138 § 871; Bagsecg 1 (n.d.).
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73; Downham (2007) p. 162 n. 158; Clancy (2006c); Ewart; Pringle; Caldwell et al. (2004) p.
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McDonald (2008) pp. 140–141; McDonald (2007b) p. 131; Oliver (1861) p. 28; Diplomatarium Norvegicum (n.
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McDonald (2016) p. 335; McDonald (2012) pp. 145–146; McDonald (2007a) p. 49; Simpson; Galbraith (n.
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Guaranty Trust Co. of N. Y., N. Y. L. J., Nov. 29, 1941, p. 1728, col. 6, 7 (Sup. Ct.).
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38 n. 5; Williams (1997) p. 260 n. 117; Anderson (1922) pp. 507–509; Munch; Goss (1874a) pp. 94–97.
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192, n. 3. Subsequently, she used her new title in formal circumstances,Pettigrew 1849, vol. ii., p. 631, n.1.
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151; Dalton (2006) p. 14; Whitelock (1996) p. 220 n. 10. Whatever the case, Owain's involvement may have concerned support rendered to Gofraid ua Ímair, a man who temporarily seized the kingship of York in 927 before being driven out within the year by Æthelstan.Charles-Edwards (2013b) p. 512; Forte; Oram; Pedersen (2005) p. 104; Davidson (2002) p. 81. Certainly, Gesta regum Anglorum states that Æthelstan summoned the Cumbrian and Scottish kings to the assembly after having forced Gofraid from York into Scotia.Clarkson (2014) ch. 5; Foot (2011b) p. 162; Forte; Oram; Pedersen (2005) p. 99 n. 49; Davidson (2002) pp. 80–81, 81 n. 50; Anderson (1908) p. 66 n.
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145; The Annals of Ulster (2017) § 870.6; Gough-Cooper (2015a) p. 22 n. 145; Gough-Cooper (2015b) p. 38 n. 99; McLeod, S (2015) pp. 3, 11; Edmonds (2014) p. 200; Hudson, B (2014) p. 203; Charles-Edwards (2013) p. 480; Downham (2013) p. 17; Fraser (2012) p. 71; McLeod, SH (2011) pp. 123–124; Clarkson (2010) ch. 8 ¶ 20; Davies (2009) p.
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4; McDonald (2012) pp. 154–155, 167; Oram (2011) p. 169; McDonald (2008) p. 145, 145 n. 74; McDonald (2007b) pp. 78, 152; Woolf (2007) pp. 80–81; Barrow (2006) p. 145; Pollock (2005) p. 18 n. 93; Oram (2000) p. 125; Sellar (1997–1998); McDonald (1997) p. 85; Duffy (1993) p. 64; Anderson (1922) p. 457; Munch; Goss (1874a) pp. 82–85.
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101 n. 69. who, according to the thirteenth-century Morkinskinna, exacted tribute from Ireland during his reign as King of Norway.Downham (2017) p. 101 n. 69; Andersson; Gade (2012) p. 335 ch.
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Noriko Tsutatani, "To things beloved – Shiotani Teikō 1899–1988" (in English, p. 277, n. 5); "Itoshiki mono e: Shiotani Teikō: 1899–1988" (in Japanese, , p. 207, n. 5); within Itoshiki mono e.
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So passing from a product over all n to a product over only n prime to p, which is a typical operation in p-adic analysis, leads from ex to Ep(x).
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73, 73 n. 36; Charles-Edwards (2013) p. 480; Charles-Edwards (2006) p. 322 n. 4; Clancy (2006c); Hicks (2003) pp. 16, 30.—the first use of this terminology by Irish sources.
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Barrow (1980) p. 65 n. 18. On the other hand, an alternate possibility is that Eschina only possessed rights to Mow as a result of her marriage to Walter.Webb, N (2004) p.
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A, E, F, H, I, K, M, N, Ng, O, P, R, T, U, V Vowels a, e, i, o, and u. Consonants k, m, n, ng, p, r, t, and v.
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74; Beuermann (2002) p. 420 n. 6; Oram (2000) p. 115; Williams, DGE (1997) pp. 114–115; Johnsen (1969) pp. 23, 33. as evinced by a version of the thirteenth-century Bǫglunga sǫgur,Crawford, BE (2014) pp. 72–73; Veach (2014) pp. 143–144; McDonald (2012) p. 163; Beuermann (2011) p. 125; Oram (2011) p. 169; Beuermann (2010) pp. 106–107, 106 n. 19; McDonald (2008) pp. 142–143; McDonald (2007b) p. 134; Brown, M (2004) p. 74; Beuermann (2002) p. 420 n. 6; Oram (2000) p. 115; Williams, DGE (1997) pp.
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According to aforesaid sources, the Scots ruthlessly routed the rebels.McDonald (2019) pp. 37–38; Pollock (2015) pp. 192–193; McDonald (2007) pp. 54, 91 n. 18, 100 n. 56, 107; Raven (2005) p. 60; Carpenter (2004) p. 389; McDonald (2004) p. 183; Oram (2000) p. 156; Sellar (2000) p. 210; McDonald (1997) p. 137; Duffy (1993) p. 163; Anderson (1922) pp. 672–673, 673 n. 1; Maxwell (1913) p. 11; Anderson (1908) p. 382; Howlett (1885) pp. 570–571; Munch; Goss (1874) pp. 110–111, 232; Stevenson (1839) pp. 97–98.
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Methyltransferases are very common in the catecholamine synthesis and deactivation pathways. PNMT is also involved in the biosynthesis of N-methylated trace amines: it metabolizes phenethylamine into N-methylphenethylamine (a positional isomer of amphetamine), p-octopamine into synephrine, and p-tyramine into N-methyltyramine.
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Let u be a (possibly infinite) sequence of symbols from an alphabet. Define the function pu(n) of a positive integer n to be the number of different factors (consecutive substrings) of length n from the string u.Lothaire (2011) p.7Pytheas Fogg (2002) p.
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767; Wright (1850) p. 108 §§ 3146–3158. The remains of the Gokstad ship, a ninth-century Viking ship unearthed in Norway. The clash at ' culminated in a West Saxon victory.Wormald (2006); Riley; Wilson-North (2003) p. 86. Whilst Vita Alfredi attributes the outcome to unnamed thegns of Alfred,Gore (2016) p. 62; Lavelle (2016) p. 124; Lewis (2016) p. 32; Keynes; Lapidge (2004) ch. asser's life of king alfred § 54; Smyth (2002) pp. 26 ch. 54; Conybeare (1914) p. 110 § 58 ch. 54; Cook (1906) p. 27 ch. 54; Giles (1906) p. 61; Stevenson, WH (1904) p. 43 ch. 54; Stevenson, J (1854) p. 458. Chronicon Æthelweardi identifies the victorious commander as Odda, Ealdorman of Devon (fl. 878).Gore (2016) p. 62; Lavelle (2016) pp. 124–125, 136 n. 18; Keynes; Lapidge (2004) ch. asser's life of king alfred § 54 n. 99; Hart, CR (2003) p. 160 n. 3; Smyth (2002) p. 227 n. 164; Swanton, M (1998) p. 76 n. 1; Whitelock (1996) p. 200 n. 16; Conybeare (1914) p. 161 bk. 4 ch. 3 § 8; Giles (1906) p. 31 bk. 4 ch. 3; The Whole Works of King Alfred the Great (1858) p. 68; Stevenson, J (1854) p. 432 bk. 4 ch. 3. Most versions of the Anglo-Saxon Chronicle number the Viking fleet at twenty- three ships,Lewis (2016) p. 32; Gigov (2011) p. 77; McLeod, SH (2011) pp. 18, 18 n. 50, 20, 123; Smith, JJ (2009) p. 130; Downham (2007) p. 71; McLeod, S (2006) p. 154 n. 77; Nelson (2001) p. 39; O'Keeffe (2001) pp. 61–62 § 879; Swanton, M (1998) p.
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The twelfth-century Chronicon ex chronicis states that a treaty of peace was concluded between the parties.Duncan (2002) p. 23 n. 51; Anderson (1908) pp. 65 n. 1; Forester (1854) p. 95; Stevenson (1853) p. 240; Thorpe (1848) pp. 129–130.
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Lemaire, P. Blanchard and N. Bancel, "Milestones in Colonial Culture under the Second Empire (1851–1870)", in Colonial Culture in France since the Revolution, ed. P. Blanchard, S. Lemaire, N. Bancel and D. Thomas, Indiana University Press, 2014, p. 78.
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606–607; Moore, D (1996) pp. 23–24, 24 n. 176; Duffy (1993a) pp. 237–238; Maund (1993) p. 181; Duffy (1992) p. 107 n. 70; Evans (1990) pp. 40, 72; Candon (1988) p. 410; Jones, A (1910) pp. 136–137.
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McTurk, R (2015) p. 106; Gigov (2011) pp. 16, 18, 26–27, 58–59; Waggoner (2009) pp. 70 ch. 3, 111 n. 14; Rowe, EA (2008) p. 355, 355 n. 9; Fjalldal (2003) p. 78; Halldórsson (2000) pp. 54, 58–59; Smith, AH (1928–1936a) p.
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More generally, given a submanifold N of a manifold M and a point p \in N, we get a short exact sequence involving the tangent spaces: :T_p N \to T_p M \to T_p M / T_p N The Quotianifold, the above sequence splits, and the tangent space of M at p decomposes as a direct sum of the component tangent to N and the component normal to N: :T_p M = T_p N \oplus N_p N := (T_p N)^\perp Thus every tangent vector v \in T_p M splits as v = v_\parallel + v_\perp, where v_\parallel \in T_p N and v_\perp \in N_p N := (T_p N)^\perp.
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642; Woolf (2007) p. 28; Charles-Edwards (2006) p. 324 n. 1; Broun (2004c) p. 117; Ó Corráin (1998a) § 38; Ó Corráin (1998b) p.
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Whilst at Lambeth on 16 May 1212,Pollock (2015) p. 56 n. 36; McDonald (2008) p. 144; McDonald (2007b) p. 137; Duffy (1993) p.
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Springer Verlag: Berlin. Stanton N. A., Salmon P. M., Walker G. H. and Jenkins D. P. (2017) Cognitive Work Analysis: Applications, Extensions and Future Directions. CRC Press: Boca Raton, USA. Stanton N. A. (2017) Advances in Human Aspects of Transportation. Springer Verlag: Berlin. Stanton N. A. (2018) Advances in Human Aspects of Transportation. Springer Verlag: Berlin. Stanton N. A., Salmon P. M. and Walker G. H. (2019) New Paradigms in Ergonomics.
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20; Anderson (1922) p. 255 n. 1; Munch; Goss (1874a) pp. 74–75. the Chronicle of Melrose,Woolf (2013) p. 3; Strickland (2012) p. 107; Oram (2011) p. 128; Forte; Oram; Pedersen (2005) p. 245; Pollock (2005) p. 14; Ewart; Pringle; Caldwell et al. (2004) p. 12; McDonald, RA (2000) p. 169, 169 n. 16; Sellar (2000) p. 189; Duffy (1999) p. 356; Duffy (1993) pp. 31, 45; Barrow (1960) p.
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This problem originates from low solubility of p-type dopants and their compensation by abundant n-type impurities. This problem is observed with GaN and ZnSe. Measurement of p-type in "intrinsically" n-type material is complicated by the inhomogeneity of samples. Current limitations to p-doping limit electronic and optoelectronic applications of ZnO, which usually require junctions of n-type and p-type material.
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6, 38 n. 65, 53; Breatnach (2005); Downham (2005) p. 21; Forte; Oram; Pedersen (2005) p. 225; Hudson, B (2002) p.
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130–132 n. 8; Hudson (2005) p. 77. in reference to the Hebrides and Mann.Dumville (2018) p. 113; McDonald (2012) p.
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52; Young; Stead (2010b) p. 69; Murray (2002) p. 228 n. 24; Watson (1991) pp. 243, 246; Reid, NH (1984) p.
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35; McDonald (2007b) pp. 78, 116; Woolf (2007) p. 81; Pollock (2005) p. 27 n. 138; Duffy (2004b); Woolf (2003) p.
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52; Barrow (2005) pp. 141, 450 n. 104; Fisher (2005) p. 93; Campbell of Airds (2000) p. 60; Sellar (2000) p.
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104; Boardman, SI (2004); Sellar (2000) p. 217 n. 155; Annala Uladh (2003) § 1315.5; McLeod (2002) p. 31; Roberts (1999) p.
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1 ¶ 46; Woolf (2007) p. 112; Duncan (2002) p. 11; Ó Corráin (1998a) § 40, § 40 n. 50; Ó Corráin (1998b) p.
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86; Kirby (2002) p. 175; Smyth (2002) pp. 122, 226 n. 164; Williams, A (1999) p. 77; Swanton, M (1998) p.
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Thompson (2004a); Thompson (2004b); Thompson (2004c); Thompson (1995) p. 50, 50 n. 9; Chandler (1989) p. 11; Cokayne; White (1949) p.
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84; Duffy (2006) p. 65; Sellar (2000) p. 191; Williams, DGE (1997) p. 259; Duffy (1993) pp. 41–42, 42 n.
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Charles-Edwards (2013) pp. 528, 564, 564 n. 140, 573; Downham (2013b) p. 147; McGuigan (2015) p. 107; Clancy (2008) p.
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295; Wyatt (2009) p. 385, 385 n. 196; Hudson, B (2005a); Downham (2004) p. 68; Hudson, BT (2004a); Duffy (1995) p.
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11 n. 37; The Annals of Ulster (2017) § 848.5; Etchingham (2014) p. 34; Somerville; McDonald (2014) p. 241; Valante (2013) p.
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Jorgensen (2017) p. 46, 46 n. 136; The Annals of Ulster (2017) § 853.2; Etchingham (2014) p. 34; Somerville; McDonald (2014) p.
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Round (1901) pp. 125-126 n. 3. and to have been an ancestor of the Boyd family.Round (1901) pp. 125-126 n. 3; Eyton (1856) p. 346 n. 7.
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2741-2760 functional and hemilable ligands (with donor atoms N, P, O, S, N-heterocyclic carbenes,...)P. Braunstein, F. Naud « Hemilability of hybrid ligands and the coordination chemistry of oxazoline- based system », Angew. Chem. Int. Ed., 2001, 40, p. 680-699P. Braunstein, N. M. Boag « Alkyl, silyl, and phosphane ligands - classical ligands in nonclassical bonding modes », Angew. Chem. Int.
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Alkali metal-doped silicene can only produce n-type semiconductors; modern day electronics require a complementary n-type and p-type junction. Neutral doping (i-type) is required to produce devices such as light emitting diodes (LEDs). LEDs use a p-i-n junction to produce light. A separate dopant must be introduced to generate p-type doped silicene.
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Christenson 2003, 2007, p.228.n.646. The concept of a trinity of deities was an ancient one in Maya culture, dating back to the Preclassic period.Christenson 2003, 2007, p.61.n.65.
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137 n. 112; Hicks (2003) p. 44 n. 107. and perhaps had something to do with the recorded ravaging of 1030.
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195 n. 123; McDonald (2007b) pp. 71–72; Anderson (1922) p. 313, 313 n. 6; Munch; Goss (1874a) pp. 78–79.
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22; Duncan; Brown (1956–1957) p. 196 n. 5; Liber S. Marie de Calchou (1846) pp. III–VII; Diplomatarium Norvegicum (n.
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This leads to two important observations: : dU = \delta W + \delta Q = -p \,dV + 0, :dH = \delta W + \delta Q + p \,dV + V \,dp = -p \,dV + 0 + p \,dV + V \,dp = V \,dp. Next, a great deal can be computed for isentropic processes of an ideal gas. For any transformation of an ideal gas, it is always true that :dU = n C_v \,dT, and dH = n C_p \,dT. Using the general results derived above for dU and dH, then : dU = n C_v \,dT = -p \,dV, : dH = n C_p \,dT = V \,dp.
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A p-i-n structure is usually used, as opposed to an n-i-p structure. This is because the mobility of electrons in a-Si:H is roughly 1 or 2 orders of magnitude larger than that of holes, and thus the collection rate of electrons moving from the n- to p-type contact is better than holes moving from p- to n-type contact. Therefore, the p-type layer should be placed at the top where the light intensity is stronger, so that the majority of the charge carriers crossing the junction are electrons.
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In mathematics, the Hahn decomposition theorem, named after the Austrian mathematician Hans Hahn, states that for any measurable space (X,\Sigma) and any signed measure \mu defined on the \sigma -algebra \Sigma , there exist two \Sigma -measurable sets, P and N , of X such that: # P \cup N = X and P \cap N = \varnothing . # For every E \in \Sigma such that E \subseteq P , one has \mu(E) \geq 0 , i.e., P is a positive set for \mu . # For every E \in \Sigma such that E \subseteq N , one has \mu(E) \leq 0 , i.e.
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By the fundamental theorem, N has a prime factorization : N = p'_1\cdot p'_2\cdots p'_m with one or more prime factors. N is evenly divisible by each of these factors, but N has a remainder of one when divided by any of the prime numbers in the given list, so none of the prime factors of N can be in the given list. Because there is no finite list of all the primes, there must be infinitely many primes.
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For complexes of intermediate oxidation states (+III, +IV), the [R3P=N]− ligand bridges pairs of metals. For metals in high oxidation states (+V to +VIII), the [R3P=N]− group exists exclusively as the terminal ligand. Most phosphinoimidate complexes fall into two groups, one with a linear or largely linear M-N-P bridge with bond angles between 161 and 177° and another with a bent M-N-P configuration with bond angles between 130 and 140°. Linear M-N-P arrangements are achieved mainly by metals in high oxidation states while metals with lower oxidation states are characterized by bent M-N-P arrangements.
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100; Davies, JR (1997) p. 399; Williams, DGE (1997) p. 141; Carr (1982) p. 13. Several near- contemporary engraved crosses at Penmon indicate that it was a significant ecclesiastical site with important patrons. Both Brut y TywysogyonDownham (2007) pp. 221–222, 221 n. 132; Woolf (2007a) p. 206; Redknap (2006) p. 33 n. 77; Jennings, A (1994) p.
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229 n. 41; Lamont (1981) p. 168.—presumably a son of Alasdair Óg himself.Penman, M (2014) p.
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40; Olympiodorus, In Plato Phaedon 1.3 (= Orphic fr. 220 Kern); Spineto p. 34; Burkert, p. 463 n.
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197; Anderson, AO (1922) p. 304 n. 2. Rhun, Arthgal's only known son,Bartrum (2009) p. 29.
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Pevsner, N. (1970) Cornwall, 2nd ed. rev. Enid Radcliffe. Penguin Books (reissued by Yale U. P.) ; p.
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611 n. 10; Heubeck, Hainsworth, and West, p. 84 on line 69. However for example, Hansen, p.
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339; Cochran-Yu (2015) p. 36; Oram (2013); McDonald (2007a) p. 73 n. 35; McDonald (2007b) pp.
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McAndrew (2006) p. 44. Alexander was Sheriff of Aberdeen in 1297-1304.Young (1999) p. 217 n.
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Koch, John. The Gododdin of Aneirin, Celtic Studies Publications, 1997, p. 133.Maund 2006, p. 16, n.
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Ní Mhaonaigh (2018) p. 146, 146 n. 84; Forte; Oram; Pedersen (2005) p. 236; Power (2005) pp.
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119; Kelly; Maas (1999) p. 151 n. 14; Ní Mhaonaigh (1996) p. 116; Ó Corráin (1974) pp.
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"Anglicanismo no Brasil". Revista USP. São Paulo: n. 67, p.
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"Anglicanismo no Brasil". Revista USP. São Paulo: n.67, p.
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66–67; Breeze (2007) p. 153; Downham (2007) p. 124; Matthews (2007) pp. 10–11; Karkov (2004) p. 108, 108 n. 123; Williams (2004); Davidson (2002) pp. 143, 145; Thornton (2001) pp. 59–60; Hudson (1994) p. 97; Anderson, AO (1908) p. 77 n. 1; Stevenson, WH (1898); Giles (1847) p. 147 bk. 2 ch. 8; Hardy (1840) p. 236 bk.
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2; Anderson (1922) p. 116 n. 6. the thirteenth-century Orkneyinga saga,Chandler (1989) p. 10; Power (1986) p. 122; Anderson; Hjaltalin; Goudie (1873) p.
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Ní Mhaonaigh (2018) p. 146, 146 n. 83; Oram (2011) p. 48; Duffy (2009) p. 296; Forte; Oram; Pedersen (2005) p. 236; Power (2005) pp. 11–12; Bracken (2004a); Duffy (2002) p. 57, 57 n. 11; Oram (2000) p. 21; Duffy (1997) p. 43; Duffy (1993a) p. 36, 36 n. 25; Duffy (1992) pp. 108–110; Anderson (1922) pp. 100–101; Munch; Goss (1874) pp. 54–55. Excerpt from folio 458v of Royal Irish Academy C iii 3 (the Annals of the Four Masters) concerning the death of Domnall's brother, Amlaíb, in 1096.
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The pinned photodiode (PPD) has p+/n/p regions in it. The PPD has a shallow P+ implant in N type diffusion layer over a P-type epitaxial substrate layer. It is not to be confused with the PIN photodiode. The PPD is used in CMOS active-pixel sensors.
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The Chebotarev density theorem may be viewed as a generalisation of Dirichlet's theorem on arithmetic progressions. A quantitative form of Dirichlet's theorem states that if N≥2 is an integer and a is coprime to N, then the proportion of the primes p congruent to a mod N is asymptotic to 1/n, where n=φ(N) is the Euler totient function. This is a special case of the Chebotarev density theorem for the Nth cyclotomic field K. Indeed, the Galois group of K/Q is abelian and can be canonically identified with the group of invertible residue classes mod N. The splitting invariant of a prime p not dividing N is simply its residue class because the number of distinct primes into which p splits is φ(N)/m, where m is multiplicative order of p modulo N; hence by the Chebotarev density theorem, primes are asymptotically uniformly distributed among different residue classes coprime to N.
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By manipulating this non- conductive layer, p–n junctions are commonly used as diodes: circuit elements that allow a flow of electricity in one direction but not in the other (opposite) direction. Bias is the application of a voltage across a p–n junction; forward bias is in the direction of easy current flow, and reverse bias is in the direction of little or no current flow. The forward-bias and the reverse-bias properties of the p–n junction imply that it can be used as a diode. A p–n junction diode allows electric charges to flow in one direction, but not in the opposite direction; negative charges (electrons) can easily flow through the junction from n to p but not from p to n, and the reverse is true for holes.
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Taly A., Delarue M., Grutter T., Nilges M., Le Novère N., Corringer P.-J., Changeux J.-P. (2005) Normal mode analysis suggests a quaternary twist model for the nicotinic receptor gating mechanism. Biophys. J. 88:3954-3965Calimet N., Simoes M., Changeux J.-P.
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292; List of Diplomatic Documents (1963) p. 209; Bain (1888) p. 488 § 5; Bain (1884) p. 491 §§ 1833, 1834; Simpson; Galbraith (n.
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One possibility is that he was a sonForte; Oram; Pedersen (2005) p. 257; Power (2005) p. 40 n. 42; McDonald (1997) p.
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215; Woolf (2007) p. 84; Johnsen (1969) p. 27, 27 n. 2; Anderson (1922) p. 542; Munch; Goss (1874a) pp. 98–99.
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29–30; McDonald, RA (1997) p. 218–219; Watts (1994) p. 113 n. 7; Argyll: An Inventory of the Monuments (1982) p.
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PLoS ONE, 10(12). P. nidrosiensis, P. valida and P. tawfiki.Azzam, K. M. (2003). Description of the nematode Phasmarhabditis tawfiki n. sp.
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Wadley p.79 n. 61 The description of the painting, previously omitted, now commences:Frèches-Thory p. 280 (translation)La Revue Blanche p.
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According to the sixteenth-century pedigrees of the Uí Domhnaill, a daughter of a certain Mac Suibhne was the mother of Domhnall Óg's son and successor, Aodh.Duffy (2013) pp. 131–132; Nicholls (2007) p. 93, 93 n. 49; Duffy (2002) p. 61; Duffy (1993) p. 153; Walsh (1938) p. 377; Walsh (1920) p. xvii, xvii n. 13. In fact, Domhnall Óg was himself fostered amongst Clann Suibhne,Duffy (2013) p. 131; Simms (2008) p. 166; Duffy (2007) p. 20; Simms (2007) p. 107; Parkes (2006) p. 368 n. 19; Simms (2004); Duffy (1993) pp. 127, 153.
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Klinicheskiy Vestnik, 1997, №3, p. 23-26. # Severtsev A. N., Ivanova E. I., Suslov N. I., Bashilov V. P., Gribunov U. P., Merzlyakova E. S., Repin I. G. “The use of some physical methods to achieve hemostasis on the surface of the liver after its resection”. Klinicheskiy Vestnik, 1997, №3, p. 26-29. # Severtsev A. N. “Portal Hypertension” Overview. Klinicheskiy Vestnik, 1997, №3, p. 35-39. # Shugurov V. A., Blohin A. P., Malov U. I., Severtsev A. N., Suhinina T. M., Osin V. L., Nikiforov P. A. “Physical methods in endoscopic treatment of bleeding from the upper parts of the gastrointestinal tract”. Kremlin medicine (Klinicheskiy Vestnik).
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A theory T is said to interpret the language of arithmetic if there is a translation of formulas of arithmetic into the language of T so that T is able to prove the basic axioms of the natural numbers under this translation. A T that interprets arithmetic is ω-inconsistent if, for some property P of natural numbers (defined by a formula in the language of T), T proves P(0), P(1), P(2), and so on (that is, for every standard natural number n, T proves that P(n) holds), but T also proves that there is some natural number n (necessarily nonstandard) such that P(n) fails. This may not generate a contradiction within T because T may not be able to prove for any specific value of n that P(n) fails, only that there is such an n. T is ω-consistent if it is not ω-inconsistent.
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They can be distinguished from Tualatin processors by their part numbers, which include the digits "80533", e.g. the 1133 MHz SL5QK P/N is RK80533PZ006256, while the 1000 MHz SL5QJ P/N is RK80533PZ001256.
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A Perrin prime is a Perrin number that is prime. The first few Perrin primes are: :2, 3, 5, 7, 17, 29, 277, 367, 853, 14197, 43721, 1442968193, 792606555396977, 187278659180417234321, 66241160488780141071579864797, ... For these Perrin primes, the index of is :2, 3, 4, 5, 6, 7, 10, 12, 20, 21, 24, 34, 38, 75, 122, 166, 236, 355, 356, 930, 1042, 1214, 1461, 1622, 4430, 5802, 9092, ... Generating P(n) where n is a negative integer yields a similar property regarding primality: if n is a negative, then P(n) is prime when P(n) mod -n = -n - 1. The following sequence represents P(n) for all n that are negative integers: :-1, 1, 2, -3, 4, -2, -1, 5, -7, 6, -1, -6, 12, -13, 7, 5, -18, 25, -20, 2, 23, -43, 45, -22, -21, 66, -88, 67, -1, ...
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Let X be a random n-by-n matrix with entries from Fp. Since all the entries of any matrix M + kX are linear functions of k, by composing those linear functions with the degree n multivariate polynomial that calculates PERM(M) we get another degree n polynomial on k, which we will call p(k). Clearly, p(0) is equal to the permanent of M. Suppose we know a program that computes the correct value of PERM(A) for most n-by-n matrices with entries from Fp\---specifically, 1 − 1/(3n) of them. Then with probability of approximately two-thirds, we can calculate PERM(M + kX) for k = 1,2,...,n + 1. Once we have those n + 1 values, we can solve for the coefficients of p(k) using interpolation (remember that p(k) has degree n).
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225; Bartrum (2009) p. 29; Clancy (2009) p. 28; Davies (2009) p. 73, 73 n. 36; The Annals of Ulster (2008) § 872.5; Downham (2007) p. 163; Clancy (2006a); Clancy (2006c); Hicks (2003) pp. 16, 30; Calise (2002) p. 197; Davidson (2002) p. 126; Hudson, BT (2002) p. 41; Dumville (1999) pp. 110–111; Macquarrie (1998) p. 12; Hudson, BT (1994) pp. 52, 174 n.
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84 n. 31; Bartlett (2016) p. 17; Lewis (2016) p. 20; McTurk, R (2015) p. 40. Almost nothing is known of this king's career,Lazzari (2014) p. 63; Fornasini (2009) p. 35; Campbell (1984) p. 146. and all that remains of his reign are a few coins.Mostert (2014). The firstJordan, TRW (2015) p. 1; Jordan, TR (2012) pp. 66–67, 67 n. 11; Pinner (2010) p. 28.
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According to the Chronicle of Melrose, Somairle landed at Renfrew, and was defeated and slain by the people of the district.Forte; Oram; Pedersen (2005) p. 245; Ewart; Pringle; Caldwell et al. (2004) p. 12; Anderson; Anderson (1938) p. 143 n. 6; Brown (1927) p. 275; Anderson (1922) p. 254; Anderson (1908) p. 243 n. 2; Stevenson, J (1856) p. 130; Stevenson, J (1835) p. 79.
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197; Hicks (2003) pp. 16, 30; Dumville (1999) pp. 110–111; Macquarrie (1998) p. 12; Ó Corráin (1998a) § 38; Ó Corráin (1998b) p. 331; Hudson, BT (1994) pp. 52, 174 n. 1. The Annals of UlsterThe Annals of Ulster (2017) § 872.5; Edmonds (2015) p. 60; Evans (2015) p. 150; Clarkson (2014) ch. 3 ¶ 11, 3 n. 10; Edmonds (2014) p. 200; Walker (2013) ch. 1 ¶ 42; Woolf (2010) p. 225; Bartrum (2009) p. 29; Clancy (2009) p. 28; Davies (2009) p. 73, 73 n. 36; The Annals of Ulster (2008) § 872.5; Downham (2007) p. 163; Clancy (2006a); Clancy (2006c); Hicks (2003) pp. 16, 30; Calise (2002) p. 197; Davidson (2002) p. 126; Hudson, BT (2002) p. 41; Dumville (1999) pp. 110–111; Macquarrie (1998) p. 12; Hudson, BT (1994) pp. 52, 174 n. 1; Ó Murchadha (1992–1993) p. 60; Macquarrie (1990) p. 7; Anderson, AO (1922) p. 304.
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165, 165 n. 22; Argyll: An Inventory of the Monuments (1975) p. 118 § 227; Macphail (1916) pp. 84–85, 85 n. 1.
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Nite, Norm N. Rock On: The Illustrated Encyclopedia of Rock n' Roll (The Solid Gold Years). Thomas Y. Crowell (1974), p. 180. .
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465 n. 125; Munro; Munro (1986) p. 282 n. 10; Lamont (1981) pp. 165, 167; Liber Sancte Marie de Melrose (1837) pp.
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387; Hudson, B (1994) pp. 146–147, 147 n. 13; Duffy (1993a) p. 6 n. 25; Hudson, B (1979); Freeman (1876) pp.
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Cowal, and the islands of the Firth of Clyde.Dunbar; Duncan (1971) p. 2. Such success may account for the commencement of the royal castle of Tarbert,Oram (2011) p. 186; Oram (2008) p. 176; Murray, N (2005) p. 291, 291 n. 27; Stringer, K (2004); McDonald (1997) pp. 84, 241–242; Duncan (1996) p. 528; Barrow (1981) p. 114. the conferment of burghal status on Dumbarton shortly afterwards,Oram (2011) p. 186; Dennison (2005) p. 274; Murray, N (2005) pp. 291, 291–292 n. 29; Duncan (1996) p. 528. and the notice of a royal constable at Dunoon—a record that appears to reveal the construction of a castle onsite and the transfer of Cowal to Walter fitz Alan II, Steward of Scotland.Oram (2013) ch. 4; Murray, N (2005) p. 292; McDonald (1997) p. 84; Barrow (1981) p. 114; Registrum Monasterii de Passelet (1832) pp. 132–133; Document 3/333/2 (n.d.). It is evident that the amicable cooperation between Ruaidhrí and Thomas had ended by the early 1220s.Pollock (2005) p. 29 n. 155. As the king's principal adherents in the maritime west, ThomasBrown (2004) p. 76.
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The complexity of the subset sum problem can be viewed as depending on two parameters, N, the number of decision variables, and P, the precision of the problem (stated as the number of binary place values that it takes to state the problem). (Note: here the letters N and P mean something different from what they mean in the NP class of problems.) The complexity of the best known algorithms is exponential in the smaller of the two parameters N and P. Thus, the problem is most difficult if N and P are of the same order. It only becomes easy if either N or P becomes very small. If N (the number of variables) is small, then an exhaustive search for the solution is practical.
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Aeschylus linked Zagreus with Hades, as either Hades' son or Hades himself.Sommerstein, p. 237 n. 1; Gantz, p.
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Frontani, p. 162, n. 31 (p. 268). Although the album was generally well received,Frontani, pp. 161–62.
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201; Broun (2004b) p. 128 n. 66; Macquarrie (2004); Macquarrie (1998) pp. 16–17; Hudson, BT (1994) p.
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Aalto (2010) pp. 162–163; Driscoll (2008) p. 105 n. 143; Duffy (2005); Forte; Oram; Pedersen (2005) p.
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70 n. 3; Thorpe (1861a) p. 138 § 872; Bagsecg 1 (n.d.). the "D" version gives "'";Irvine (2004) p.
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Ferdinandus Ughelli, Italia sacra (ed. N. Colet) Tomus 2 (Venice: Sebastian Colet 1717), p. 512. Cardella, p. 34.
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104, 359 n. 82; Caldwell, DH (2012) p. 284; Young; Stead (2010) p. 92; Boardman, S (2006) pp.
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41; Hudson, BT (1998) p. 154 n. 23; Hudson, BT (1996) pp. 203–204; Hudson, BT (1994) p.
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74, 84; Rafn (1829) p. 354 ch. 3. No other source mentions these sons.Waggoner (2009) p. 111 n.
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112–113; Clarkson (2014) ch. 5; Wood (2013) p. 140; Foot (2011a); Foot (2011b) p. 162, 162 n.
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107; Anderson (1922) p. 550 n. 2; Rhŷs (1890) p. 264; Williams Ab Ithel (1860) pp. 34–35.
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2 ch. 148. and De primo Saxonum adventu,McGuigan (2015) p. 144, 144 n. 469; Davidson (2002) p.
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85; Hammond, MH (2005) p. 40 n. 33; Barrow; Royan (2004) p. 167; Ewart; Pringle; Caldwell et al.
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139; Stevenson, JB (1986) p. 30; Barrow; Scott (1971) p. 34; Anderson; Anderson (1938) pp. 162–164 n.
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209; Clarkson (2013); Parsons (2011) p. 130 n. 42; Clarkson (2010) chs. genealogical tables, 9; Davies (2009) p.
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In 1138, Conchobar assumed the kingship of Munster.Duffy (1992) p. 121; Ó Corráin (1973) p. 59 n. 33.
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205; Neville (1983a) p. 112; Neville (1983b) pp. 98–100 § 53; Cokayne; White (1953) p. 382, 382 n.
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383 n. a; Bliss (1893) p. 463. One such child of her and Hugh was Alexander.Beam (2008) p.
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The situation between this span of years is uncertain.Woolf (2003) p. 177; Beuermann (2002) p. 420 n. 6.
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From at least 972Williams, DGE (1997) p. 142; Anderson (1922) pp. 478–479 n. 6; Rhŷs (1890) p.
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87; Ó Corráin (2001b) p. 20; Abrams (1998) p. 8 n. 49; Ó Corráin (1998a); Ó Corráin (1998b).
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182 n. 168; McDonald, RA (2007b) p. 116; Anderson (1922) p. 137; Munch; Goss (1874) pp. 60–61.
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P-type MOS (PMOS) logic uses p-channel MOSFETs to implement logic gates and other digital circuits. N-type MOS (NMOS) logic uses n-channel MOSFETs to implement logic gates and other digital circuits. For devices of equal current driving capability, n-channel MOSFETs can be made smaller than p-channel MOSFETs, due to p-channel charge carriers (holes) having lower mobility than do n-channel charge carriers (electrons), and producing only one type of MOSFET on a silicon substrate is cheaper and technically simpler. These were the driving principles in the design of NMOS logic which uses n-channel MOSFETs exclusively.
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Suppose that the ordinary differential equation : y'(t) = f(t,y(t)), \quad y(t_0)=y_0, is to be solved over the interval [t_0,t_0+c_k h]. Choose c_k from 0 ≤ c1< c2< … < cn ≤ 1. The corresponding (polynomial) collocation method approximates the solution y by the polynomial p of degree n which satisfies the initial condition p(t_0) = y_0, and the differential equation p'(t_k) = f(t_k,p(t_k)) at all collocation points t_k = t_0 + c_k h for k = 1, \ldots, n. This gives n + 1 conditions, which matches the n + 1 parameters needed to specify a polynomial of degree n.
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P-channel MOS (PMOS) logic uses p-channel MOSFETs to implement logic gates and other digital circuits. N-channel MOS (NMOS) logic uses n-channel MOSFETs to implement logic gates and other digital circuits. For devices of equal current driving capability, n-channel MOSFETs can be made smaller than p-channel MOSFETs, due to p-channel charge carriers (holes) having lower mobility than do n-channel charge carriers (electrons), and producing only one type of MOSFET on a silicon substrate is cheaper and technically simpler. These were the driving principles in the design of NMOS logic which uses n-channel MOSFETs exclusively.
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This species is prepared from the nitrogen mustard N(CH2CH2Cl)3.R. Morassi, L. Sacconi "Tetradentate Tripod Ligands Containing Nitrogen, Sulfur, Phosphorus, and Arsenic as Donor Atoms" Inorganic Syntheses 1976, vol. 16 p. 174-180. N,N,N-trimethyltren, N(CH2CH2NHMe)3 is also available.
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160, 182 n. 108; Oram (2000) p. 17; Duffy (1993a) p. 32; Duffy (1992) pp. 98–99; Hudson, BT (1992) p. 356; Candon (1988) p. 402.
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185, 68 Fed. 742, 745; Godwin v. Francis, L. R. 5 C. P. 295, 39 L. J. C. P. N. S. 121, 22 L. T. N. S. 338; Reg. v. Riley [241 U.S. 190, 1896] 1 Q. B. 309, 314, 321, 65 L. J. Mag. Cas. N. S. 74, 74 L. T. N. S. 254, 44 Week. Rep. 318, 18 Cox, C. C. 285, 65 J. P. 519, 10 Am. Crim. Rep. 402; Howley v.
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In computational complexity theory, ' is the set of all decision problems solvable by a deterministic Turing machine in exponential space, i.e., in O(2^{p(n)}) space, where p(n) is a polynomial function of n. Some authors restrict p(n) to be a linear function, but most authors instead call the resulting class . If we use a nondeterministic machine instead, we get the class , which is equal to by Savitch's theorem.
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It is said to be a response to "C-O-N-S-T-A-N-T-I-N-O-P-L-E" recorded in 1928 by Paul Whiteman and His Orchestra.
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All strictly non-palindromic numbers larger than 6 are prime. One can prove that a composite n > 6 cannot be strictly non-palindromic as follows. For each such n a base is shown to exist in which n is palindromic. # If n is even and greater than 6, then n is written "22" (a palindrome) in base n/2 − 1\. (Note that if n less than or equal to 6, the base n/2 − 1 would be less than 3, so the digit "2" could not occur in the representation of n.) # If n is odd and greater than 1, write n = p · m, where p is the smallest prime factor of n.
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96, 130; Hudson (2002) p. 37; Dumville, D (2000) p. 77; Hudson (1998) pp. 140, 150, 156–157, 156 n. 38, 157 nn. 39–42; Broun (1997) pp. 118–119 n. 35; Hudson (1994) pp.
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In: I Treni n. 277 (january 2006), p. 8. in 2006 the old Pra station has been substituted by a new one.Mario Bianchi: Novità a Genova. In: I Treni n. 282 (june 2006), p. 18.
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Palleon nasus nasus is endemic to Ekongo, south- eastern Madagascar, and its geological type locality is Ekongo, southeastern Madagascar. P. n. pauliani is only known from its type locality of Manjarivolo, l’Andringitra, Madagascar. P. n.
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Rajapura or Rajapuram was the capital of the ancient Kamboja Kingdom See: Political History of Ancient India, 1996, p 132 seq, Dr H. C. Raychaudhury, Dr B. N. Mukerjee.A History of India, p 269-71, N. R. Ray, N. K. Sinha.Journal of Indian History, P 304, University of Allahabad. Department of Modern Indian History, University of Kerala - 1921; Military History of India, 1980, p 38, Hemendra Chandra Kar - History.
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353; Flanagan (2005b) p. 211; Flanagan (2004c); Duffy (1993) pp. 17–18; Duffy (1992) p. 129; Latimer (1989) p. 537, 537 n. 72.
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Woolf, "Dead Man", p. 78; Sellar, "Hebridean Sea-Kings", p. 200; see also Duncan & Brown, "Argyll and the Isles", p. 198, n. 8.
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Ní Mhaonaigh (2018) p. 137; Jesch (2016) p. 314; Downham (2014) p. 25; Lawson (2013); Bolton (2009) pp. 131–132, 131–132 n.
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R. Clogg, p. 74-75.N. Svoronos, p. 81-82M. Terrades, p. 102-103. Reprisals took many forms, including pillage, arson and assassination.
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The exact meaning behind these terms is uncertain.Dumville (2008) p. 356; Downham (2007) p. 15; Etchingham (2007); Woolf (2007) p. 71 n. 6.
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189 n. 8; Fellows-Jensen (1989–1990) p. 47. Maccus' name may instead be of Gaelic origin.Wadden (2015) p. 29; Downham (2013a) p.
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Príncipes descalços. In: Veja, n. 1700, p. 86, 2001-05-16.
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The exception is P. lusitanica, whose chromosome count is n = 6.
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Harry N. Abrams. N.Y. 1991. . p. 174 James Deering never married.
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Klinicheskiy Vestnik, July – September, 1996, pp. 71–74. # Severtsev A. N., Ivanova E. N. “The experience of using “Detralex” in the treatment of patients with venous insufficiency in surgical hospitals”. Phlebolymphology, 1996, №3, p. 15-16. # Brehov E. I., Severtsev A. N., Bashilov V. P., Laptev V. V., Kuleshov I. U., Ivanova E. N., Suslov N. I. “The first experience of cytoreductive surgery (cytoreduction) against neoplastic lesions in the liver”.
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In conformal differential geometry, a conformal connection is a Cartan connection on an n-dimensional manifold M arising as a deformation of the Klein geometry given by the celestial n-sphere, viewed as the homogeneous space :O+(n+1,1)/P where P is the stabilizer of a fixed null line through the origin in Rn+2, in the orthochronous Lorentz group O+(n+1,1) in n+2 dimensions.
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The 36 locomotives of Class P 3/5 N of the Royal Bavarian State Railways (Königlich Bayerische Staatsbahn) were built between 1905 and 1907 by Maffei. The P 3/5 N evolved from the S 3/5 express train locomotive and had likewise a four-cylinder compound configuration. Compared with the S 3/5 the P 3/5 N had a smaller boiler but the same size cylinders. The P 3/5 N could haul a 350-ton train at 80 km/h on the level.
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3Berstel et al (2009) p.82Allouche & Shallit (2003) p.298 For a string u of length at least n over an alphabet of size k we clearly have : 1 \le p_u(n) \le k^n \ , the bounds being achieved by the constant word and a disjunctive word,Bugeaud (2012) p.91 for example, the Champernowne word respectively.Cassaigne & Nicolas (2010) p.165 For infinite words u, we have pu(n) bounded if u is ultimately periodic (a finite, possibly empty, sequence followed by a finite cycle).
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The former P&N; depot in Belmont, NC has been restored and was a P&N; museum until 2004, when the lease ran out and was not given extension by the owner. The former P&N; station in Gastonia, NC, burned down in 1995. Lastly, the small depot of McAdenville, NC is still standing, though it has been relocated from its previous location. Former P&N; depot, Piedmont, SC In South Carolina, at least five stations are still standing: Donalds, Hodges, Greer, Piedmont and Anderson.
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15; O'Byrne (2001) p. 108, 108 n. 556; Simms (2001) p. 6; Simms (1998) p. 80; Lydon (1994) p. 153; Moody; Martin (1994) p. 432; Duffy (1993) p. 125; Walton (1980) p. 236.
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In any case, the Anglo-Saxon Chronicle reports that the Vikings fought nine battles with the West Saxons in the following months, and elaborates on six of these.Lavelle (2014) ch. 7 ¶ 1; Somerville; McDonald (2014) p. 232 § 871; Downham (2013a) p. 16; Gigov (2011) p. 73; Stodnick (2010) p. 106, 106 n. 45; Costambeys (2004a); Irvine (2004) p. 49 § 871; Keynes; Lapidge (2004) ch. asser's life of king alfred § 42 n. 78; Smyth (2002) pp. 184, 223 n.
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Clause = x.Clause 9 else 10 let l be the left and r the right parent node 11 let p be the pivot variable used to compute n 12 ReconstructProof(l) 13 ReconstructProof(r) 14 if p \in l.Clause and p \in r.Clause 15 n.
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It is an open problem whether all 2NFAs can be converted to 2DFAs with polynomially many states, i.e. whether there is a polynomial p(n) such that for every n-state 2NFA there exists a p(n)-state 2DFA. The problem was raised by Sakoda and Sipser, who compared it to the P vs. NP problem in the computational complexity theory.
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An abrupt p–n diode made by doping silicon. Here, the operation of the abrupt p–n diode is considered. By "abrupt" is meant that the p- and n-type doping exhibit a step function discontinuity at the plane where they encounter each other. The objective is to explain the various bias regimes in the figure displaying current-voltage characteristics.
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Hence, to choose one such sequence we need approximately n h(p) bits. It is still n bits if p=1/2, however, it can also be much smaller. For example we need only \approx n/2 bits for p = 0.11. An entropy coder allows the encoding of a sequence of symbols using approximately the Shannon entropy bits per symbol.
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She was assigned a pennant number of 21.P, which was changed to 21.N in 1939 and to N.21 in 1940.
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In mathematics, a parallelization, p. 160 of a manifold M\, of dimension n is a set of n global linearly independent vector fields.
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Anubavam Pudhumai is the directorial debut of C. V. Rajendran. Cinematography was handled by P. N. Sundaram, and editing by N. M. Shankar.
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390 n. 63. "second in rank or power", "second of a king", or "second to a king".Warntjes (2004) p. 390 n. 63.
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After this, it disappeared from the professional repertory,Shepherd, p. xiii, n.3 and n.4. although Gilbert considered reviving it in 1909.
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Applying his p-adic form of the Hardy- Littlewood-Ramanujan-Vinogradov method to estimating trigonometric sums, in which the summation is taken over numbers with small prime divisors, Karatsuba obtained a new estimate of the well known Hardy function G(n) in the Waring's problem (for n \ge 400): : \\! G(n) < 2 n\log n + 2 n\log\log n + 12 n.
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76, 437 n. 10; Brown, M (2004) p. 258; McQueen (2002) p. 110; Sellar (2000) p. 212; Munro; Munro (1986) p. 281 n. 5; Bain (1884) p. 145 §§ 621–623; Rymer; Sanderson (1816b) p. 761; Document 3/33/0 (n.d.); Document 3/31/0 (n.d.a); Document 3/31/0 (n.d.b). The seal of John, King of Scotland,Birch (1905) pp.
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In Rabin's oblivious transfer protocol, the sender generates an RSA public modulus N=pq where p and q are large prime numbers, and an exponent e relatively prime to λ(N) = (p − 1)(q − 1). The sender encrypts the message m as me mod N. # The sender sends N, e, and me mod N to the receiver. # The receiver picks a random x modulo N and sends x2 mod N to the sender. Note that gcd(x,N) = 1 with overwhelming probability, which ensures that there are 4 square roots of x2 mod N. # The sender finds a square root y of x2 mod N and sends y to the receiver.
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Semiprime numbers have no composite numbers as factors other than themselves. For example, the number 26 is semiprime and its only factors are 1, 2, 13, and 26, of which only 26 is composite. For a squarefree semiprime n=pq (with p e q) the value of Euler's totient function \varphi(n) (the number of positive integers less than or equal to n that are relatively prime to n) takes the simple form :\varphi(n)=(p-1)(q-1)=n-(p+q)+1. This calculation is an important part of the application of semiprimes in the RSA cryptosystem.
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59 § 867; Stevenson, J (1853) p. 43 § 867. Late in 866 the Vikings seized YorkGore (2016) p. 61; McGuigan (2015) pp. 21–22 n. 10; Somerville; McDonald (2014) p. 231 § 867; Gigov (2011) pp. 19, 43 n. 73; McLeod, SH (2011) pp. 11, 126, 185; Downham (2007) p. 65; Forte; Oram; Pedersen (2005) pp. 69–70; Irvine (2004) p.
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230; Driscoll (2002) pp. 68–69; McDonald, RA (2002) pp. 103, 111; McDonald, RA (2000) p. 169, 169 n. 16; Durkan (1998) p. 137; McDonald, RA (1997) pp. 41, 61–62; Macquarrie, A (1996) p. 43; McDonald, RA (1995) p. 135; McDonald; McLean (1992) pp. 3, 3 n. 1, 13; Duncan; Brown (1956–1957) p. 197; Brown (1927) pp.
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A projective regular (n+1)-polytope exists when an original regular n-spherical tessellation, {p,q,...}, is centrally symmetric. Such a polytope is named hemi-{p,q,...}, and contain half as many elements. Coxeter gives a symbol {p,q,...}/2, while McMullen writes {p,q,...}h/2 with h as the coxeter number.Abstract regular polytopes, p.
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64 n. 73; Duffy (2002a) p. 60; Oram, RD (2000) p. 59; McDonald, RA (1997) p. 37; Power (1986) pp. 115–116; Anderson (1922) p. 134; Munch; Goss (1874a) pp. 60–61. and shows that he died in 1153.McDonald, RA (2019) p. 11; Anderson (1922) pp. 137 n. 1, 225; Munch; Goss (1874a) pp. 64–65.
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In the same year, English records reveal that Henry III attempted to broker a peace between the half-brothers, and gave Óláfr safe passage to England.Oram (2013); McDonald (2008) p. 148 n. 89; McDonald (2007b) p. 148; McNamee (2005); Bain (1881) p. 182 § 1001; Oliver (1861) p. 69; Rymer; Sanderson; Holmes (1739) pt. 1 p. 104; Diplomatarium Norvegicum (n.
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McDonald, RA (2016) p. 342; Wadden (2014) pp. 31–32; McDonald, RA (2007b) pp. 66, 75; Williams, G (2007) pp. 130 n. 7, 147; Beuermann (2002) p. 423; McDonald, RA (2000) p. 175, 175 n. 55; Sellar (2000) pp. 197–198; McDonald, RA (1997) p. 45; Anderson (1922) p. 137; Munch; Goss (1874) pp. 60–61.
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There are two subspecies: the western P. n. nobilis (Nepal, Sikkim and West Bengal) and eastern P. n. singhei (Bhutan and Arunachal Pradesh). The latter is generally larger and with a thicker pelage than the former.
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His synthesis involved the direct reaction of triphenylphosphine with phenylazide. :Ph3P + N3Ph → Ph3P=NPh + N2 X-ray crystallography establishes that the P-N-C angle is bent (130.4°) and the P-N distance is 160 pm.
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Duffy (2014a) p. 11; Duffy (2014b); Flanagan (2010) p. 231, 231 n. 196; Bracken (2004a); Etchingham (2001) p. 182, 182 n. 108; Hudson, BT (1992) p. 356; Anderson (1922a) pp. 590–592 n. 2. Surviving sources give conflicting dates for Echmarcach's passing, and it is uncertain whether he died in 1064Wadden (2015) p. 32; Downham (2007) pp. 171, 187, 193 fig. 12; Duffy (2006) p. 57; Etchingham (2001) p. 187; Candon (1988) p. 402. or 1065.McGuigan (2015) p. 107; Clancy, TO (2008) p. 28; Woolf (2007) p. 245; Duffy (2006) pp. 53, 57; Hudson, BT (2005) pp. 129, 130 fig. 4; Duffy (2002) pp. 53–54; Clancy, T (2001); Duffy (2002) p. 53; Etchingham (2001) p. 187; Candon (1988) p. 402; Byrne (1982); Anderson (1922a) pp. 590–592 n. 2. The Annals of Inisfallen,Wadden (2015) p. 32; Annals of Inisfallen (2010) § 1064.7; Annals of Inisfallen (2008) § 1064.7; Downham (2007) p. 193 fig. 12; Candon (1988) p. 402; Anderson (1922a) pp. 590–592 n. 2. the Annals of Loch Cé,Annals of Loch Cé (2008) § 1064.7; Annals of Loch Cé (2005) § 1064.7; Downham (2007) p. 193 fig. 12; Candon (1988) p. 402; Anderson (1922a) pp. 590–592 n. 2. and the Annals of Ulster indicate that he died in 1064.The Annals of Ulster (2017) § 1064.9; Wadden (2015) p.
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Central Committee of the Party of Peaceful Renovation. The Party of Peaceful Renovation () was a liberal political organisation in the Russian Empire, based amongst landlords and the bourgeoisie. It was formed in 1906, uniting the Left Octobrists and Right Cadets. Party leaders were Pyotr Heiden, N. N. Lvov, P. P. Ryabushinsky, Mikhail Stakhovich, E. N. Trubetskoi, G. N. Trubetskoi, D.N. Shipov.
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71, 57, 57 n. 43; Clarkson (2014) ch. 5, 5 n. 27; Charles-Edwards (2013b) p. 516; Wood (2013) pp. 140–141; Foot (2011b) pp. 84 n. 86, 89, 92; Maddicott (2010). For example, he appears to have witnessed one as a ' in Worthy dated 20 June 931,Keynes (2015) pp. 84–85 fig. 1, 89, 105; Molyneaux (2015) p. 57, 57 n.
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Many transition metal phosphinimide complexes have been well-developed as have main group phosphinimide complexes. center In main group phosphinimide complexes, only terminal and μ2-N-bridging bonding modes are observed. The terminally bound bent ligands are primarily commonly have M-N-P bond angles ranging from 120-150°. Both the M-N and N-P bond lengths are appropriate for double bonds.
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17, 17 n. 71; Duffy (1999) p. 354; Duffy (1993) p. 24. Little is known of Máel Coluim's reign.
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63; Thorpe (1848) p. 85. The 12th century Annals of St Neots gives "'".Stevenson, WH (1904) p. 31 n.
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104; Brown (2004) p. 265; Boardman, SI (2004); Caldwell, DH (2004) p. 72; Duffy (2002b) pp. 61, 194 n.
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Domhnall of Islay could have also been his son.Penman, M (2014) p. 358 n. 67; Penman, MA (2014) p.
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197 n. 6; Bremmer, RH (1981) p. 77; Ó Corráin (1979) pp. 315, 319–320; McTurk, RW (1976) p.
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107; Anderson, AO (1922) p. 550 n. 2; Rhŷs (1890) p. 264; Williams Ab Ithel (1860) pp. 34–35.
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203; Fragmentary Annals of Ireland (2008) § 459; Costambeys (2004); Davidson (2002) p. 61, 61 n. 157; Davidson (2001) p.
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247–248; Thorpe (1848) pp. 142–143. Gesta regum Anglorum,Edmonds (2015) p. 61 n. 94; Keynes (2015) p.
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2, p. 219, n. 53, but is incorrectly ascribed to Second Manassas. The original source is Sorrel, p. 203.
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Syme, Augustan Aristocracy, p. 192 The other province has been identified as Galatia-Pamphylia.Syme, Augustan Aristocracy, p. 333 n.
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23; Pollock (2005) p. 27, 27 n. 138; Brown, M (2004) pp. 76–78; Duffy (2004c); Woolf (2003) p.
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5; McDonald (1997) pp. 174, 189; Munro; Munro (1986) p. 283 n. 13; Barrow, GWS (1973) p. 380. Cairistíona.
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Domhnall witnessed an undated charter of Robert to Melrose Abbey.Penman, MA (2014) p. 68 n. 17; Barrow (2005) p.
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Toepel, 2009, p. 279 Wannu over the next decade raided into Goryeo numerous times.Henthorn, 1963, p. 6, 60 n.
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294; Maxwell (1913) pp. 179–180; Mackenzie (1909) p. 402 n. 36; Chronicon Domini Walteri de Hemingburgh (1849) p.
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According to X-ray crystallography, [(i-Pr2N)2P]+ is nearly planar consistent with sp2-hybridized phosphorus center. The planarity of the nitrogen center is consistent with the resonance of the lone pair of the nitrogen atom as a pi bond to the empty phosphorus 3p orbital perpendicular to the N-P-N plane. An idealized sp2 phosphorus center would expect an N-P-N angle of 120°. The tighter N-P-N angle observed in the crystal structure can be interpreted as the result of repulsion between the phosphorus lone pair with the bulky i-Pr2N ligands, as the P(NH2)2+ and PH2+ molecules have bond angles closer to 110° and 90°, respectively.
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36; McDonald (2007) p. 54; Carpenter (2004) p. 389; McDonald (1997) p. 137; Duffy (1993) p. 163; Anderson (1922) p. 673 n. 1; Munch; Goss (1874) pp. 110–111, 232.
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The attestations of Domhnall suggest that he was a contestant to the Clann Domhnaill lordship,Penman, MA (2014) pp. 67–68, 67 n. 18; McDonald (1997) pp. 187–188. and may have possessed the chiefship.Sellar (2016) p. 104; Penman, M (2014) p. 189; Duncan (2007) p. 148 n. 725–62; Murray (2002) p. 228 n. 32. At an uncertain date, perhaps 1306, 1308, or else in 1314 and/or 1315,Penman, MA (2014) p. 70; McNamee (2012b) ch. 5 ¶ 21; Brown, M (2004) p.
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3; Strickland (2012) p. 107; McDonald, RA (2007b) p. 76; Annals of Tigernach (2005) § 1164.6; Woolf (2005); McDonald, RA (2000) p. 169, 169 n.
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92, 113, 121 n. 86; Forte; Oram; Pedersen (2005) p. 244; Woolf (2004) p. 104; Oram (2000) pp. 74, 76; McDonald, RA (1997) p.
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39; Shead; Stevenson; Watt et al (1991) pp. 433–434 n. 33; Reid, NH (1984) p. 294; Paul (1908) p. 490; Mackenzie (1909) p.
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Let n be a large composite number such that n = pq, where p and q are large primes such that p ≡ 3 mod 4, q ≡ 3 mod 4, and kept confidential to adversary. The problem is to compute z given a such that a ≡ z2 mod n. The trapdoor is the factorization of n. With trapdoor, the solutions of z can be given as cx + dy, cx - dy, - cx + dy, - cx - dy, where a ≡ x2 mod p, a ≡ y2 mod q, c ≡ 1 mod p, c ≡ 0 mod q, d ≡ 0 mod p, d ≡ 1 mod q.
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The seal of Aonghus Mór mac Domhnaill.Caldwell (2016) p. 352; Caldwell (2008) p. 21; McDonald (2007) p. 56; McAndrew (2006) pp. 66–67; Caldwell (2004) pp. 73–74, 74 fig. 2b; McAndrew (1999) p. 750 § 3631; McDonald (1995) pp. 131–132, 132 n. 12; Rixson (1982) pp. 125, 128, 130, 218 n.
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The algorithm in pseudocode is as follows: let the input be a string I consisting of n characters: a1 ... an. let the grammar contain r nonterminal symbols R1 ... Rr, with start symbol R1. let P[n,n,r] be an array of booleans. Initialize all elements of P to false.
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Under normal forward bias operation, as voltage begins to increase, electrons at first tunnel through the very narrow P-N junction barrier and fill electron states in the conduction band on the N-side which become aligned with empty valence band hole states on the P-side of the P-N junction. As voltage increases further, these states become increasingly misaligned, and the current drops. This is called negative differential resistance because current decreases with increasing voltage. As voltage increases beyond a fixed transition point, the diode begins to operate as a normal diode, where electrons travel by conduction across the P-N junction, and no longer by tunneling through the P–N junction barrier.
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In forward bias, the p-type is connected with the positive terminal and the n-type is connected with the negative terminal.quasi-fermi levels for conduction band and valence band in n and p regions (red curves) With a battery connected this way, the holes in the p-type region and the electrons in the n-type region are pushed toward the junction and start to neutralize the depletion zone, reducing its width. The positive potential applied to the p-type material repels the holes, while the negative potential applied to the n-type material repels the electrons. The change in potential between the p side and the n side decreases or switches sign.
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3; cf. p. 371 n.4, and IV3 77 n. I in Joseph Klausner, Jesus of Nazareth, The Macmillan Company 1925, pp. 60-1.
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Phanga Nga (later described as N. mirabilis var. globosa),Catalano, M. 2010. In: Nepenthes della Thailandia: Diario di viaggio. Prague. p. 40. N. sp.
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N. jacquelineae, N. jamban,Lee, C.C., Hernawati & P. Akhriadi 2006. Two new species of Nepenthes (Nepenthaceae) from North Sumatra. Blumea 51(3): 561–568.
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J. M. Kitzen, M. Ilhan, J. G. Cannon and J. P. Long (1976). "α-Adrenergic activity of N,N-dimethyldopamine (DMDA)." Eur. J. Pharmacol.
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The first grant describes Gilchrist as a "baron of the realm",McDonald (1997) p. 143; Barrow (1980) pp. 121 n. 20, 138 n. 106.
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148 n.3 and p. 149 n.3. Richard Pankhurst, on the other hand, accepts the chronicle's date and al- Makrizi's identification of Dawit I.Richard Pankhurst, History of Ethiopian Towns (Wiesbaden: Franz Steiner Verlag, 1982), p. 57.
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55–56 n. 49; McDonald (2007b) pp. 106–107; Pryce; Insley (2005) p. 490 § 317; Liber Niger de Wigmore (1904). It is uncertain what compelled Lochlann to flee his sovereign,Williams, DGE (1997) p. 260 n. 117.
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Palleon nasus, commonly known as the elongate leaf chameleon, is a species of chameleon endemic to Madagascar. It was initially described by Boulenger in 1887. The species contains two subspecies, P. n. nasus and P. n. pauliani.
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In number theory, a Pillai prime is a prime number p for which there is an integer n > 0 such that the factorial of n is one less than a multiple of the prime, but the prime is not one more than a multiple of n. To put it algebraically, n! \equiv -1 \mod p but p ot\equiv 1 \mod n. The first few Pillai primes are :23, 29, 59, 61, 67, 71, 79, 83, 109, 137, 139, 149, 193, ... Pillai primes are named after the mathematician Subbayya Sivasankaranarayana Pillai, who studied these numbers.
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277, 277 n. 26; McDonald (2016) p. 342; Beuermann (2014) p. 85; McDonald (2007) p. 84; Duffy (2006) p. 63; Forte; Oram; Pedersen (2005) p. 235; Hudson (2005) p. 198; Oram (2000) pp.
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56, 107; Raven (2005) p. 60; McDonald (2004) p. 183; Oram (2000) p. 156; Sellar (2000) p. 210; McDonald (1997) p. 137; Anderson (1922) pp. 672-673, 673 n. 1; Maxwell (1913) p.
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Rodger, N. A. M..The Command of the Ocean, 2004, p. 236.
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The community was named for N. P. Cagle, a local mill operator.
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The World of Chartres. New York: Henry N. Abrams, 1990. p. 160. .
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History and bovine embryo transfer. Anim. Reprod., v.10, n.3, p.
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Revista USP. São Paulo: n.67, p. 36-47, September/November 2005.
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206 n. 59; Hicks (2003) p. 38. Another possibility is that refers to Leath Ward in Cumberland,Edmonds (2014) p. 206 n. 59; Hicks (2003) p. 38. or to a settlement in the Lowther valley, not terribly far from where the River Eamont flows.Clarkson (2014) ch.
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Although Orkneyinga saga acknowledges that the union between Ingibjǫrg's own parents was not a canonical marriage either, the coupling formed the basis for her family's claim to the earldom.Williams, G (2007) p. 130 n. 7; Anderson (1922) p. 139 n. 2; Vigfusson (1887) p. 82 ch.
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The deck transformation group Aut(p) is isomorphic to the quotient group N(Γp)/Γp. If p is a universal covering, then Γp is the trivial group, and Aut(p) is isomorphic to 1(X). Let us reverse this argument. Let N be a normal subgroup of .
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DMPD TMPD The oxidase test is a test used in microbiology to determine if a bacterium produces certain cytochrome c oxidases. It uses disks impregnated with a reagent such as N,N,N′,N′-tetramethyl-p-phenylenediamine (TMPD) or N,N-dimethyl-p-phenylenediamine (DMPD), which is also a redox indicator. The reagent is a dark-blue to maroon color when oxidized, and colorless when reduced. Oxidase-positive bacteria possess cytochrome oxidase or indophenol oxidase (an iron-containing hemoprotein).. Isenberg HD, editor.
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The Sylvester–Gallai theorem states that there is a line containing exactly two points of P. Such two point lines are called ordinary lines. Let a and b be the two points of P on an ordinary line. If the removal of point a produces a set of collinear points then P generates a near pencil of n lines (the n - 1 ordinary lines through a plus the one line containing the other n - 1 points). Otherwise, the removal of a produces a set, P' , of n − 1 points that are not all collinear.
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In a p-n junction diode, electrons and holes are the minority charge carriers in the p-region and the n-region, respectively. In an unbiased junction, due to the diffusion of charge carriers, the diffusion current, which flows from the p to n region, is exactly balanced by the equal and opposite drift current. In a biased p-n junction, the drift current is independent of the biasing, as the number of minority carriers is independent of the biasing voltages. But as minority charge carriers can be thermally generated, drift current is temperature dependent.
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In this case, the injection of holes in the p-silicon makes the stacked n, p and n layers beneath MT1 behave like a NPN transistor, which turns on due to the presence of a current in its base. This, in turn, causes the p, n and p layers over MT2 to behave like a PNP transistor, which turns on because its n-type base becomes forward-biased with respect to its emitter (MT2). Thus, the triggering scheme is the same as an SCR. The equivalent circuit is depicted in Figure 4.
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Williams, J. R., et al., Financial and Managerial Accounting, McGraw-Hill, 2012, p. 1117. It can also be calculated using the formula: Payback Period = (p - n)÷p + ny = 1 + ny \- n÷p (unit:years) Where ny= The number of years after the initial investment at which the last negative value of cumulative cash flow occurs. n= The value of cumulative cash flow at which the last negative value of cumulative cash flow occurs.
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NAR 2 has instructions to initialize the value of particular index register ("PIR" mnemonic). However, it does not have special instructions to read values index registers. This is achieved by using indexed and immediate (P, N) addressing mode flags, such as: mua Xi, P, N, n ; Memory- Into-Accumulator, Indexed, Immediate, 0 ... which essentially puts Xi+n into accumulator. For n=0, this turns into a "load index register value into accumulator" instruction.
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Ramkali is a sweet early morning raga in Hindustani classical music which belongs to Bhairav thaat. In this raga, as in Bhairav, second degree (rishabh) and sixth degree (dhaivat) are flat. The vadi-samvadi are P/S, the aroha is S r G M P, G M d N S' and the avroha is S' N d P m P, d (N)d P, G M r S. Flat nishad (seventh degree) and sharp madhyama (fourth degree) are used often.
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166; Watson (1991) p. 243; Dunbar; Duncan (1971) pp. 4–5. of Skipness CastleBarrow; Royan (2004) p. 183 n. 24.
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1 ¶ 43; Brown, M (2011) p. 15, 15 n. 68; Young; Stead (2010b) pp. 43, 53; Boardman, S (2006) p.
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Dumézil 1977 p. 340, who cites Livy Ab Urbe Condita Libri XXVIII 11, 4. Bloch 1981 p. 347 n. 19.
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420 n. 6; Oram (2000) p. 115; Argyll: An Inventory of the Monuments (1982) p. 143 § 4; Anderson (1922) pp.
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Il le année. n° 28" (Archive). p. 7030 (PDF p. 88/172). "The Protestant School Board of Greater Montreal 6000.
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32; Charles-Edwards (2013) p. 573, 573 n. 182; The Annals of Ulster (2008) § 1064.9; Downham (2007) p. 193 fig.
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335, n. 2). UNAIDS, The Governance Handbook, January 2010 (p. 29, first note).Official UN list of Regional Groups (p.
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On 6 September the killing finally stopped.Le Moniteur universel, t. XIII, n° 251, du 7 septembre, p. 621F. Bluche, p.
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245: de Silva's report, title.Ahern (2010), pp. 151, 153–154 (report, memoranda); p. 398, n.. 18 to text at p.
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300 (n°20); S. Perreau, Hyacinthe Rigaud, le peintre des rois, Montpellier, 2004, p. 218, repr. p. 219, fig. 202.
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92; Hudson (2005) p. 65; vant Houts, EMC (1993); Dolley; Yvon (1971) p. 16; Shetelig (1940) pp. 130–131 n.
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20; McLeod, SH (2011) p. 11; Halsall (2007) pp. 155, 278 n. 143; Costambeys (2004b); Miller (2004); Page (1987) p.
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64; Keynes; Lapidge (2004) ch. asser's life of king alfred § 21 n. 44; Kirby (2002) p. 173; Swanton (1998) p.
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251 n. 35; Duncan; Brown (1956–1957) p. 201; MacDonald; MacDonald (1896) pp. 487–488; Origines Parochiales Scotiae (1854) p.
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85; Annals of Loch Cé (2005) § 1258.5; Power (2005) p. 49; Verstraten (2003) p. 36 n. 131; Duffy (2002) pp.
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80, 82–83; Plummer; Earle (1892) pp. 70–71 n. 6; Thorpe (1861a) p. 135 § 870; Stevenson, J (1853) p.
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11; Forte; Oram; Pedersen (2005) p. 218; Karkov (2004) p. 108; Williams (2004); Davidson (2002) pp. 13, 134, 134 n.
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He may take his name from Kilwhiss near Auchtermuchty in Fife.Dowden, Bishops, p. 215, n. 1; Watt, Dictionary, p. 315.
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49 n. 66; McDonald (1997) p. 99; Duncan; Brown (1956–1957) p. 207. rook gaming pieces of the Lewis chessmen.
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1 N°1.p. 79\. 1989 - Shaw-Lawrence, Bettina. Tambimuttu Bridge Between Two Worlds. London: Peter Owen Publishers. p. 236\.
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Curtiss, The Russian Church, p. 205. N. Amosov, Antireligioznaia rabota na poroge utoroi piatiletki (M.: Gos. antir. izd., 1932) p.
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Rickles 2014, p. 77. (mainly due to the theoretical appeal of its asymptotic freedom).Rickles 2014, p. 11 n. 22.
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221 tab. iv, 231-232; Turner (1998) p. 651. At an uncertain date,Boardman, S (2006) p. 110 n. 7.
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119; Munro; Munro (1986) pp. 87 § 58, 280 n. 4; Cowan, IB (1967) p. 100; Duncan; Brown (1956–1957) p.
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Dumville, Liturgy, p. 62, n. 131 He was supposedly a follower (alumnus) of Saint Cuthbert.de G. Birch, "Ivy-Church", p.
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48 § b1063.1; Gough-Cooper (2015b) p. 26 § c364.2; Hudson, BT (2005) pp. 121, 136; Downham (2004) p. 66, 66 n.
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28; Thompson (2003) p. 150; Oram, RD (2000) p. 60; Oram, RD (1988) pp. 30, 70–74; Hollister; Keefe (1973) p. 5, 5 n. 17.
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104; Patent Rolls of the Reign of Henry III (1901) p. 150; Bain (1881) p. 122 § 696; Sweetman (1875) p. 123 § 828; Diplomatarium Norvegicum (n.
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166 n. 46; Chronicon Scotorum (2012) § 1146; Chronicon Scotorum (2010) § 1146; The Annals of Tigernach (2010) § 1146.9; Byrne (2008a) p. 871; Annals of Tigernach (2005) § 1146.9; Duffy (1993) p. 41; Duffy (1992) pp. 122–123, 122 n. 149.
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McDonald (2019) p. 69; Forte; Oram; Pedersen (2005) p. 252 n. 35; McDonald (2007b) p. 158; Power (2005) p. 45; Pringle (1998) p. 152; Anderson (1922) p. 472; Munch; Goss (1874) pp. 92–93.
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35; Oram (2000) p. 127; Stringer, KJ (1998) p. 95; McDonald (1997) p. 86; Bain (1881) p. 182 § 1001; Oliver (1861) p. 69; Rymer; Sanderson; Holmes (1739) pt. 1 p. 104; Diplomatarium Norvegicum (n.
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The expected value is then given by, E(X1) + E(X2) + ... + E(Xn). Since E(Xk) = P(Xk = 1) = 1/(n − k + 1), the sought expected value is 1/n + 1/(n − 1) + 1/(n − 2) + ... + 1 = Hn (the nth harmonic number).
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In any event, although the precise purpose of the Turnberry pact is uncertain, it is conceivable that it was somehow connected to the Bruce faction's claim to the throne.Duffy (2013) p. 125; McNamee (2012a) ch. 2; Young; Stead (2010a) p. 30; Young; Stead (2010b) p. 48; Barrow (2005) pp. 24, 429 n. 47; Oram (1992) p. 31; Reid, NH (1984) p. 57; Reid, N (1982) p. 77.
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Assume that the semiconductor wafer is p-type material. Also assume a ring of n-type material is placed around a transistor, and placed beneath the transistor. If the p-type material within the n-type ring is now connected to the negative terminal of the power supply and the n-type ring is connected to the positive terminal, the 'holes' in the p-type region are pulled away from the p–n junction, causing the width of the nonconducting depletion region to increase. Similarly, because the n-type region is connected to the positive terminal, the electrons will also be pulled away from the junction.
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In enzymology, a N-hydroxy-2-acetamidofluorene reductase () is an enzyme that catalyzes the chemical reaction :2-acetamidofluorene + NAD(P)+ + H2O \rightleftharpoons N-hydroxy-2-acetamidofluorene + NAD(P)H + H+ The 4 substrates of this enzyme are 2-acetamidofluorene, NAD+, NADP+, and H2O, whereas its 4 products are N-hydroxy-2-acetamidofluorene, NADH, NADPH, and H+. This enzyme belongs to the family of oxidoreductases, specifically those acting on other nitrogenous compounds as donors with NAD+ or NADP+ as acceptor. The systematic name of this enzyme class is 2-acetamidofluorene:NAD(P)+ oxidoreductase. Other names in common use include N-hydroxy-2-acetylaminofluorene reductase, and NAD(P)H:N-hydroxy-2-acetamidofluorene N-oxidoreductase.
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It is likely that the king—either David or Malcolm—arranged the union.Webb, N (2004) p. 58; Barrow (1980) pp. 14, 65, 65 n. 18.
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This record is the only known act of the king on the Continent.Webb, N (2004) p. 149; Barrow (1973) pp. 285–286, 286 n. 26.
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If wmin = n, then dmin = n and the code will correct up to dmin/2 errors.Stern & Mahmoud, Communications System Design, Prentice Hall, 2004, p 477ff.
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The P&N; Bank Board of Directors is responsible for the Corporate Governance of P&N; and its controlled entities. The Board manages the business in accordance with its policies, legislation, APRA prudential requirements and the Constitution of P&N.; To ensure the Board can fulfil its responsibilities and comply with policies and ethical standards, a Code of Conduct and Board Charter are in place.
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However, problems in development meant that the twelve Charlie I submarines were built with the shorter-ranged P-70 Ametist (SS-N-7 'Starbright', an evolution of the SS-N-2C 'Styx') as a stopgap before the introduction of the P-120 Malakhit on the Charlie II. The P-120 missile was later used as the basis for the SS-N-14 Silex rocket-propelled torpedo.
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Apparently in about the same year that the Bissets seized Dunaverty, Thomas' illegitimate son, Alan, stormed the castle in a devastating attack that may have culminated in the capture Walter Bisset himself.Murray, N (2005) p. 291 n. 27; Oram (2005) p. 20; Duffy (2004c) pp. 47–48; Oram (2000) p. 153; Duncan (1996) p. 550; Duffy (1993) p. 252; Calendar of the Patent Rolls (1908) p. 127; Bain (1881) p.
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Meyer and PatersonA. R. Meyer and M. S. Paterson, With what frequency are apparently intractable problems difficult?, M.I.T. Technical Report, MIT/LCS/TM-126, February, 1979. define an algorithm to be almost polynomial time, or APT, if it halts within p(n) steps on all but p(n) inputs of size n.
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A further generalisation allows k glasses (instead of two) out of the n glasses to be examined at each turn. An algorithm can be found to ring the bell in a finite number of turns as long as k ≥ (1 − 1/p)n where p is the greatest prime factor of n.
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The case of elliptic curves was worked out by Hasse in 1934. Since the genus is 1, the only possibilities for the matrix H are: H is zero, Hasse invariant 0, p-rank 0, the supersingular case; or H non-zero, Hasse invariant 1, p-rank 1, the ordinary case. Here there is a congruence formula saying that H is congruent modulo p to the number N of points on C over F, at least when q = p. Because of Hasse's theorem on elliptic curves, knowing N modulo p determines N for p ≥ 5.
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5 ¶ 13; Ní Mhaonaigh (2012) pp. 144–145; Duffy (2009) p. 290; Byrne (2008) p. 863; Beougher (2007) pp. 212–213; Woolf (2007) p. 243; Hudson, BT (2005) pp. 75, 101; Broun (2004) p. 135; Hudson, B (2002) p. 242; Duffy (1999) pp. 353–354; Hudson, BT (1994) p. 114 n. 12; Duffy (1993) p. 24; Hudson, BT (1991) p. 152; Ryan (1938) pp. 17–18; Anderson (1922) pp. 534–537 n. 2.
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A positive composite integer n is a Lucas–Carmichael number if and only if n is square-free, and for all prime divisors p of n, it is true that p + 1 \mid n + 1. The first Lucas–Carmichael numbers are: :399, 935, 2015, 2915, 4991, 5719, 7055, 8855, 12719, 18095, 20705, 20999, 22847, 29315, 31535, 46079, 51359, 60059, 63503, 67199, 73535, 76751, 80189, 81719, 88559, 90287, ...
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Fox 1987, 2008, p.205. Awilix was one of the three principal deities of the Kʼicheʼ, together with Tohil and Jacawitz, and the trinity of gods was sometimes referred to collectively as Tohil, the most important of the three.Christenson 2003, 2007, p.61.n.65, p.228.n.646.
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114 n. 257; Gantz, p. 403. According to Apollodorus, Orthrus had two heads, however in art, the number varies.Apollodorus, 2.5.10; Cook, p. 410; Ogden, p. 114.
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57; Duffy (1992) p. 102. and "",Annals of Inisfallen (2010) § 1075.2; Annals of Inisfallen (2008) § 1075.2; Duffy (2006) p. 57; Duffy (1992) p. 102 n. 44.
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9; Mac Eoin (1961) p. 56; Anderson, AO (1922) p. 517 n. 5. Chronicon Scotorum,Chronicon Scotorum (2012) § 997; Chronicon Scotorum (2010) § 997; Thornton (2001) p.
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Historically, the name of the town has been recorded as Vartpadegān,(Eṣṭaḵri, p. 198, n. c); Jorfadeghan,Moqaddasi, p. 402; Darbayagan, Kuhpayegan,(Abu’l-Fedā, Taqwim, p.
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74; Duncan; Brown (1957) p. 198, 198 n. 8. Ragnall is styled in Latin dominus de InchegalSellar (2000) p. 195; Registrum Monasterii de Passelet ... (1832) p.
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Whilst this royal figure may well refer to Ragnall's father,Downham (2007) p. 196; Hudson, BT (2005) p. 75; Williams, G (2004) p. 95, 95 n.
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278 n. 5. the fourteenth-century Annals of Tigernach,Clarke (2016) p. 226; Valante (2013) p. 88; The Annals of Tigernach (2016) § 995.5; Sheldon (2011) p.
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N, V, P, etc.), an intermediate projection (e.g. N', V', P', etc.), and a phrase level projection (e.g. NP, VP, PP, etc.). Extending this convention to the clausal categories occurred in the interest of the consistent use of labels.
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Rasmussen, P. C. & N. J. Collar. 1999. On the hybrid status of Rothschild's Parakeet Psittacula intermedia (Aves, Psittacidae). Bull. Nat. Hist. Mus. London (Zoology) 65:31-50 PDFRasmussen, P. C. & N. J. Collar. 1999. Little-known Oriental non-bird.
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CASINOR. J. Needs, M. D. Towler, N. D. Drummond and P. Lopez Rios, J. Phys.: Condens. Matter 22, 023201 (2010).R. J. Needs, M. D. Towler, N. D. Drummond, P. Lopez Rios and J. R. Trail, J. Chem. Phys.
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The westward expansion of Stewart power can be traced not only by the kindred's grants to Paisley AbbeyBoardman (2007) p. 86 n. 6.—a religious house founded by the family's founder in the twelfth centuryDitchburn (2010) p. 183 n.
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The general formula is then where s= m+n+p+q. In particular, the basic compound has those carbons connected by four methylene bridges (m=n=p=q=1), and its name within that family is therefore [1.1.1.1]pagodane.
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Although this daughter is not named by the chronicle, she is identified as Ragnhildr by the thirteenth-century Orkneyinga saga.McDonald, RA (2000) p. 175 n. 55; McDonald, A (1995) p. 206; Anderson (1922) p. 255 n. 1; Vigfusson (1887) p. 210 ch. 110; Flateyjarbok (1862) p. 508 ch. 439; Anderson; Hjaltalin; Goudie (1873) p. 181 ch. 104. In 1153, the thirteenth- to fourteenth-century Chronicle of Mann reports that Óláfr was assassinated by three nephews whilst Guðrøðr was absent in Norway.Beuermann (2014) p. 85; Downham (2013) p. 171, 171 n. 94; McDonald, RA (2007b) pp. 67, 85, 92; Duffy (2006) p. 65; Beuermann (2002) p. 421; Duffy (2002) p. 48; Sellar (2000) p. 191; Williams, DGE (1997) p. 259; Duffy (1993) pp. 41–42, 42 n. 59; Oram (1988) pp. 80–81; Anderson (1922) p. 225; Munch; Goss (1874) pp. 62–65. Within months of his father's assassination, Guðrøðr executed his vengeance.
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Barnett, Hilaire A, Introduction to Feminist Jurisprudence (London: Cavendish Publishing, 1998 ()), p. 35 and, per p. 35 n. 35, see chap.
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Although this fortress is unnamed, it may have been either Dunaverty CastleBarrow; Royan (2004) p. 183 n. 24; McDonald (1997) p.
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"Real Estate Transfers." Locale: east side (of street), N of 138th. Trow's New York City Directory, 1891 p. 912; 1892 p.
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61; Annals of Tigernach (2005) § 1058.4; Downham (2004) p. 67; Etchingham (2001) pp. 152–158; DeVries (1999) p. 67, 67 n.
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15, 30 n. 34; McDonald (1997) pp. 228, 241; Jennings (1994) p. 143; Argyll: An Inventory of the Monuments (1992) p.
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9 ¶ 69; McLeod, S (2006) p. 142 n. 5; Costambeys (2004a); Costambeys (2004c); Cowen (2004) pp. 46–47; Irvine (2004) p.
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92 n. 234; Clancy (2008) pp. 35–36.—specifically Ayrshire, Dumfrieshire, Wigtownshire, and KirkcudbrightshireClancy (2011) p. 374; Sharpe (2011) p. 92.
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Barrow (2005) pp. 430–431 n. 28; Oram, RD (2000) p. 60; Oram, RD (1988) pp. 71, 99; Keefe (1981) p.
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125; Oram (2011) p. 169; Beuermann (2010) pp. 106–107, 106 n. 19; McDonald (2008) pp. 142–143; McDonald (2007b) p.
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113 n. 7; Argyll: An Inventory of the Monuments (1982) p. 143 § 4; Thomson (1968) p. 66; Munch; Goss (1874b) pp.
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232 n. 64; Burnett (1878) p. 106. and resulted in the king regarding John Gallda as a nephew.Boardman, SI (2005) p.
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174–175 ch. 230. chiefs of Clann Dubhghaill and Clann Ruaidhrí respectively.Beuermann (2010) p. 108 n. 28; McDonald (2006) p. 77.
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22; Most, p. 29 n.18; Caldwell, p. 47 on lines 319-325; but possibly the Hydra, or less likely Ceto.
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Another Gaelic origin may be ("white- blooded"), in reference to being very pale.McDonald (2012) p. 174 n. 44; McDonald (2007a) p.
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155; Hordern, p. 445. and when Philoxenus served as his court poet.Hordern, p. 446, with n. 4, giving numerous ancient sources.
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Charles-Edwards 2006, p.138, n.5 "Tuathal son of Cremthann, king of Cualu" died in 778.Charles-Edwards 2006, p.
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244; Ó Corráin (1998a) § 8; Ó Corráin (1998b) p. 301; Kelly; Maas (1999) pp. 127, 151 n. 17; Brooks (1979) p.
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Knaack, p. 248 n.41 In this drawdown, the squadron was inactivated on 2 April 1966.See Ravenstein, Combat Wings, p.
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37; Duffy (1993) pp. 32–33; Duffy (1992) p. 100; Candon (1988) p. 402; Anderson (1922a) pp. 590–592 n. 2.
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Nd3 Nxe4 10.Nxe4 d5 (Parma).Matanović 1997 (Vol C), p. 251, n.
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N. Wilson and A. Murphy, Scotland (Lonely Planet, 5th edn., 2010), , p. 235.
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Lebeaux, Richard (1984). Thoreau's Seasons. University of Massachusetts Press. p. 386, n. 31.
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BrHistória (2007) (in Portuguese), Ano I, n. 4. São Paulo: Duetto, p. 59.
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Avalude Janmam is a 1994 Indian Malayalam film, directed by N. P. Suresh.
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98 with n. 5; Sprawski, p. 107; Schol. on Apollonius of Rhodes 1.1165c.
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Pevsner, N. (1970) Cornwall; 2nd ed., revised by E. Radcliffe. Harmondsworth: Penguin; p.
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XI, n°4, oct.-déc. 1928, tiré à part, p. 63; GAFFIOT, Robert.
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Subrahmanyam, N. S. (1995). Modern Plant Taxonomy. Jangpura, New Delhi: Vikas, p. 119, .
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It is uncertain when Rhun's reign and life ended.Broun (2004c) p. 127 n.
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Umueze Village m. Umuigwe Village n. Umuikaa Village o. Umuodu – Ehichie Village p.
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P. Collinson, N. Ramsay, M. Sparks. (OUP 1995, revised edition 2002), page 565.
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Murray N. Rothbard, For a New Liberty: The Libertarian > Manifesto (1978), p. 48.
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Locher, J.L. The Magic of M.C. Escher. Harry N. Abrams, Inc. p. 133.
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Agrios, George, N. Plant Pathology Edition 5. Elsevier Academic Press, 2005. p. 451.
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O trabalho da arte: Dudi Maia Rosa. Celeuma, n. 1, p. 12, 2013.
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Reprint: Delhi. Oriental Books Reprint Corporation. 1969. vol. I, p. 41, n. 131.
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50, 54. giving its name to the incline.Crawshaw, N (1998). p. Front map.
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131–132; McDonald (1997) p. 80; Barrow (1988) p. 5. and various islands in the Hebrides,Murray, N (2005) p. 295; Power (2005) p. 41; Oram (2000) pp. 131–132.
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If A is a matrix with integer or rational coefficients and we seek a solution in arbitrary-precision rationals, then a p-adic approximation method converges to an exact solution in O(n^4 \log^2 n), assuming standard O(n^3) matrix multiplication is used. The method relies on solving n linear systems via Dixon's method of p-adic approximation (each in O(n^3 \log^2 n)) and is available as such in software specialized in arbitrary-precision matrix operations, for example, in IML.
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A Kharitonov region is a concept in mathematics. It arises in the study of the stability of polynomials. Let D be a simply-connected set in the complex plane and let P be the polynomial family. D is said to be a Kharitonov region if :V_T^n(V_S^n) is a subset of P. Here, V_T^n denotes the set of all vertex polynomials of complex interval polynomials (T^n) and V_S^n denotes the set of all vertex polynomials of real interval polynomials (S^n).
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Discrete complementary JFETs are N-channel and P-channel JFETs that are built with a similar process technology and are designed to have similar or matching electrical characteristics. Discrete complementary JFETs come in separate P and N-channel packages. Dual discrete complementary JFETS house two N-channel JFETs in one monolithic unit and two P-channel units in another monolithic unit. Because they are built on the same die, dual N-Channel JFETs have nearly equivalent or matched electrical characteristics.
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106, 111 with n. 185, p. 111 with n. 230. In Greek art, the vast majority of depictions of Heracles and Cerberus occur on Attic vases.
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J. Environ. Manage. 146: 407-419. PDFHessburg, P., Povak, N., Reynolds, K., and N. Vizcarra. 2015. Sour streams in Appalachia: mapping nature’s buffer against sulfur deposition.
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Inapproximability. Let ε > 0. Unless P=NP, there is no polynomial algorithm for Knapsack such that its domination number is greater than 2^(n-n^ε).
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129 n. 52; The Annals of Ulster (2012) § 1074.1; The Annals of Ulster (2008) § 1074.1; Woolf (2003) pp. 172–173; Duffy (1992) p. 102 n. 45.
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Hütteroth and Abdulfattah, 1977, p. 120.Toledano, 1984, p. 299, gives Sur Bahir‘s position as 31°44′15″N 35°13′40″E In 1838, Edward Robinson noted Sur Bahil N 13° E from Tuqu'.Robinson and Smith, 1841, vol 2, p. 183 It was further noted as a Muslim village.Robinson and Smith, 1841, vol 3, 2nd appendix, p.
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Although it is possible that Ruaidhrí controlled the lands that made up GarmoranRoss (2012) p. 3; Murray, N (2005) pp. 296, 301; Power (2005) pp. 41, 43; Oram, RD (2000) pp. 131–132; McDonald, RA (1997) p. 80. and various islands in the Hebrides,Murray, N (2005) p. 295; Power (2005) p. 41; Oram, RD (2000) pp. 131–132.
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In mathematics, the Herbrand–Ribet theorem is a result on the class group of certain number fields. It is a strengthening of Ernst Kummer's theorem to the effect that the prime p divides the class number of the cyclotomic field of p-th roots of unity if and only if p divides the numerator of the n-th Bernoulli number Bn for some n, 0 < n < p − 1\. The Herbrand–Ribet theorem specifies what, in particular, it means when p divides such an Bn.
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The theorem is clearly true for three non-collinear points. We proceed by induction. Assume n > 3 and the theorem is true for n − 1\. Let P be a set of n points not all collinear.
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At each lattice point we have the object E_r^{p,q}. It is very common for n = p + q to be another natural index in the spectral sequence. n runs diagonally, northwest to southeast, across each sheet. In the homological case, the differentials have bidegree (−r, r − 1), so they decrease n by one.
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P(NMe2)3. The aminophosphine called the Verkade base is a superbase. The fundamental aminophosphines have the formulae PH2−n(NH2)n (n = 1, 2, 3). These species cannot be isolated in a practical quantities, although they have been examined theoretically. H2NPH2 is predicted to be more stable than the P(V) tautomer HN=PH3.
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33 n. 24. Other than this passage, there is no evidence hinting of a connection between Gofraid and Iceland.Duffy (2006) p. 60. The chronicle elsewhere states that Gofraid died on Islay,McDonald (2012) pp. 180–181 n. 145; Duffy (2006) pp. 60–61; Duffy (2004a); Sellar (2000) p. 190; Anderson (1922b) pp. 43–44 n.
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The disease causing catabolic enzyme deficiency of hexosaminidases was demonstrated with four different substrates (p–nitrophenyl-β-D-N-acetylglucosaminide, p-nitrophenyl- β-D-N-acetylgalactosaminide, glycolipid [3H]GA2 and [3H]globoside) in four different organs and published in 1968.
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236, 238 tab. 6.4; Broun (2004b) pp. 128 n. 66, 135; Hicks (2003) p. 44 n. 107; Duncan (2002) p. 29. For much of the tenth century—possibly from the 930s to the 970s—the latter ruled the Kingdom of Strathclyde.
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The invention of the p–n junction is usually attributed to American physicist Russell Ohl of Bell Laboratories in 1939. Two years later (1941), Vadim Lashkaryov reported discovery of p–n junctions in Cu2O and silver sulphide photocells and selenium rectifiers.
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In linear algebra, a square nonnegative matrix A of order n is said to be productive, or to be a Leontief matrix, if there exists a n \times 1 nonnegative column matrix P such as P-AP is a positive matrix.
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Holmgren, N. H., P. K. Holmgren & A.J. Cronquist. 2005. Vascular plants of the intermountain west, U.S.A., subclass Dilleniidae. 2(B): 1–488. In A.J. Cronquist, A. H. Holmgren, N. H. Holmgren, J. L. Reveal & P. K. Holmgren (eds.) Intermountain Flora.
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261–262; Abrams (2003) p. 47 n. 20; Jesch (2001) pp. 83–84; Price (1986–1989) p. 332 (14); Flateyjarbok (1862) p. 21; Sigv Víkv 10 (n.d.).
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156; Anderson (1922) p. 476, 476 n. 12. These totals suggest that Alan commanded a force of two thousandMcDonald (2007b) p. 156; Stringer, KJ (1998) p. 84.
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These Islanders could refer to either the folk of the IslesHudson, B (1994) p. 320. or Orkney,Ní Mhaonaigh (2018) p. 137; Townend (2001) p. 159 n.
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245, 248; Duffy (2007) pp. 1, 10 n. 43, 18; Kenny (2007) p. 68; Kenny (2006) p. 33; Annals of Loch Cé (2005) § 1259.3; Kenny (2005) p.
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385, 385 n. 196; Hudson, B (2005a); Downham (2004) pp. 67–68; Hudson, BT (2004a); Hudson, BT (2004c) p. 52; Etchingham (2001) p. 154; Duffy (1995) p.
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This location may be identical to Skeabost Island in the mouth of the river Snizort ().McDonald (2019) p. 67; McDonald (2012) p. 155; McDonald (2007b) p. 80; Sellar (1997–1998). Another possibility is that the isle in question is the now-landlocked island of Eilean Chaluim Chille in the Kilmuir district ().McDonald (2019) pp. 67, 82 n. 42; Thomas (2014) p. 259; Barrow (2006) p. 145, 145 n. 24; MacLeod (2002) p. 13; Sellar (1997–1998). This island once sat in Loch Chaluim Chille before the loch was drained of water and turned into a meadow.McDonald (2019) p. 67; Barrow (2006) p. 145 n. 24; Donaldson (1923) p. 170; Forbes (1923) p. 244; Skye, Eilean Chaluim Chille (n.d.).
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It has been proven that for all primes p, p divides P(p). However, the converse is not true: for some composite numbers n, n may still divide P(n). If n has this property, it is called a "Perrin pseudoprime". The first few Perrin pseudoprimes are :271441, 904631, 16532714, 24658561, 27422714, 27664033, 46672291, 102690901, 130944133, 196075949, 214038533, 517697641, 545670533, 801123451, 855073301, 903136901, 970355431, ... The question of the existence of Perrin pseudoprimes was considered by Perrin himself, but it was not known whether they existed until Adams and Shanks (1982) discovered the smallest one, 271441 = 5212; the next-smallest is 904631 = 7 x 13 x 9941.
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Venkatraman worked with singers like T. M. Soundararajan, A. M. Rajah, Seerkazhi Govindarajan, Thiruchi Loganathan, V. N. Sundaram, T. A. Mothi, M. L. Vasanthakumari, P. Leela, Jikki, T. V. Rathinam, A. P. Komala, Radha Jayalakshmi, K. Jamuna Rani, P. Suseela, K. Rani, S. Janaki, and L. R. Eswari. The singing actors M. M. Dandapani Desikar, G. N. Balasubramaniam, M. S. Subbulakshmi, D. K. Pattammal, P. U. Chinnappa, C. Honnappa Bhagavathar, U. R. Jeevarathinam, N. C. Vasanthakokilam, T. R. Mahalingam, T. R. Rajakumari, Chittor V. Nagaiah, N. S. Krishnan, T. A. Madhuram, T. S. Durairaj, and J. P. Chandrababu all sang songs under his compositions.
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The systematic name of this enzyme class is acetyl- CoA:D-glucosamine-6-phosphate N-acetyltransferase. Other names in common use include phosphoglucosamine transacetylase, phosphoglucosamine acetylase, glucosamine-6-phosphate acetylase, D-glucosamine-6-P N-acetyltransferase, aminodeoxyglucosephosphate acetyltransferase, glucosamine 6-phosphate acetylase, glucosamine 6-phosphate N-acetyltransferase, N-acetylglucosamine-6-phosphate synthase, phosphoglucosamine N-acetylase, glucosamine-phosphate N-acetyltransferase, and glucosamine-6-phosphate N-acetyltransferase.
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36 n. 6; Bain (1881) p. 100 § 573; Sweetman (1875) p. 70 § 427; Hardy (1835) p. 98. In July 1213, Alan was granted right to the forests and fairs upon his Irish lands.Duffy (1993) p. 75; Nicholson (1963) p. 36 n. 6; Bain (1881) p. 103 § 583; Sweetman (1875) p. 75 § 463. Fourteenth-century depiction of Fergus, Lord of Galloway as he is depicted in Leiden University Library Letterkunde 191 (Roman van Ferguut).
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By the tenth century, the number of kings who met with him was alleged to have been eight, as evidenced by the tenth-century Life of St Swithun.Edmonds (2015) p. 61 n. 94; McGuigan (2015b) pp. 143–144; Edmonds (2014) p. 206, 206 n. 60; Williams, A (2014); Molyneaux (2011) p.
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157; Anderson (1922) pp. 534–537 n. 2; Murphy (1896) p. 167. the sixteenth-century Annals of Loch Cé,Downham (2017) p.
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156, 169; Flanagan (2010) p. 195 n. 123; McDonald (2007b) pp. 70–71, 94, 170; Duffy (2004); Broderick (2003); Oram (2000) p.
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681; Costambeys (2004b); Keynes; Lapidge (2004) ch. asser's life of king alfred § 21 n. 44; Keynes (2001) p. 54; Jaski (1995) p.
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117; Ó Corráin (1998a) § 38; Ó Corráin (1998b) p. 331; Dumville (1999) p. 110; Woolf (1998) pp. 159–160, 160–161 n.
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72; McTurk, R (2006) p. 681; Irvine (2004) p. 50 § 878; Keynes; Lapidge (2004) ch. asser's life of king alfred § 54 n.
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76; Gore (2004) p. 37; Keynes; Lapidge (2004) chs. introduction ¶ 11, asser's life of king alfred § 54 n. 99; Smyth (2002) p.
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London United used similar vehicles on the route through Surbiton Park.Sampson O&N;, p.47. See also p.50 for fuller story.
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476, 476 n. 1; Skene (1867) p. 151. an otherwise unknown name that may be the result of textual corruptions.Broun (2005) p.
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114; McGuigan (2015) p. 144, n. 466; Edmonds (2014) p. 206; Williams (2014); Charles-Edwards (2013b) pp. 543–544; Molyneaux (2011) pp.
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Johns, Noblewomen, Aristocracy and Power, p. 76, n. 26; Keats-Rohan, "Antecessor Noster", pp. 1–2; Sharpe, Norman Rule in Cumbria, p.
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10; Reid, NH (1984) p. 342 n. 121; Lamont (1981) pp. 165, 167; The Acts of the Parliaments of Scotland (1844) p.
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153; Munro; Munro (2008). Seemingly by the mid 1220sMunro; Munro (2008); McDonald (2007b) p. 153; Pollock (2005) p. 24, 24 n. 122.
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107–108; McDonald (2007b) pp. 87, 151; Brown (2004) pp. 79–80; Johnsen (1969) p. 27, 27 n. 1; Anderson (1922) p.
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156, 169; Flanagan (2010) p. 195 n. 123; McDonald (2007b) pp. 70–71, 94, 170; Duffy (2004d); Broderick (2003); Oram (2000) p.
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146, 146 n. 83; Oram (2011) p. 48; Duffy (2009) p. 296; Forte; Oram; Pedersen (2005) pp. 235–236; Power (2005) pp.
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Oxford University Press, 1880. p. 3, p. 5 n.2,3. although modern theories tend to place this in the east of Iran.
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137; Hudson, BT (1994) p. 113 n. 9. another possibility is that source actually refers to Ragnall himself.Hudson, BT (2005) p. 75.
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115; Downham (2007) p. 8; Annals of Tigernach (2005) § 975.4. the twelfth-century Cogad Gáedel re Gallaib,Downham (2014) p. 19 n.
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543–544; Walker (2013) ch. 4 ¶¶ 30, 36; Clarkson (2012) ch. 9 ¶ 29; Minard (2012); Aird (2009) p. 309; Breeze (2007) pp. 154–155; Downham (2007) p. 167; Minard (2006); Macquarrie (2004); Williams (2004); Davidson (2002) pp. 142–143; Duncan (2002) p. 23 n. 53; Jayakumar (2002) p. 34; Thornton (2001) pp. 66–67; Williams (1999) pp. 88, 116; Macquarrie (1998) p. 16; Hudson (1994) p. 174 n.
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34; Clarkson (2014) ch. 7 ¶¶ 9–10, 7 n. 11; Williams (2014); Charles-Edwards (2013b) pp. 543–544; Walker (2013) ch. 4 ¶ 30; Molyneaux (2011) pp. 66, 69, 88; Breeze (2007) p. 153; Downham (2007) p. 124; Matthews (2007) p. 10; Woolf (2007) pp. 207–208; Forte; Oram; Pedersen (2005) p. 218; Irvine (2004) p. 59; Karkov (2004) p. 108; Williams (2004); Davidson (2002) pp. 138, 140, 140 n.
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The following equation must be satisfied for a semiconductor under carrier injection conditions: :n = \Delta n + n_0, where n is the number of electrons, \Delta n is the excess carriers injected into the semiconductor, and n_0 is the equilibrium concentration of electrons in the semiconductor The following relation must also be true, because for every electron injected a hole must also be created to keep a balance of charge: :\Delta n = \Delta p. The assumption of low-level injection can be made regarding an n-type semiconductor, which affects the equations in the following way: :\Delta n \ll N_D. Therefore n = N_D and p = \Delta p + p_0. In comparison, a semiconductor in high injection means that the number of generated carriers is large compared to the background doping density of the material.
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N Kannan was born to N. Chathan and P Kali on 12 October 1955. He is married to Ajitha Ikkaden. He has two sons, Arjun and Abhinav.
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132 n. 59; McQueen (2002) p. 149 n. 23. After Hugh's death, Maria was summoned to appear before parliament to answer regarding Alexander's rights to various lands.
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Phrealcia steueri is a species of moth of the family Ypsolophidae. It is found in Xinjiang, China., 2012: Phrealcia steueri n. sp. und P. friesei n. sp.
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There is a distinct pale fulvous or orange-buff band/patch on the crown (making the dark top of the head appear rather like a bandit mask), although this band/patch occasionally is poorly defined or entirely absent in P. n. nobilis. Most P. n. nobilis have a distinct buff stripe along the mid-back (dividing the dark "saddle"), but it is occasionally incomplete or even absent. Most P. n.
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The side-length n of the magic hypercube is called its order. Four-, five-, six-, seven- and eight-dimensional magic hypercubes of order three have been constructed by J. R. Hendricks. Marian Trenkler proved the following theorem: A p-dimensional magic hypercube of order n exists if and only if p > 1 and n is different from 2 or p = 1. A construction of a magic hypercube follows from the proof.
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Knowing the first N bits of Ω, one could calculate the halting problem for all programs of a size up to N. Let the program p for which the halting problem is to be solved be N bits long. In dovetailing fashion, all programs of all lengths are run, until enough have halted to jointly contribute enough probability to match these first N bits. If the program p hasn't halted yet, then it never will, since its contribution to the halting probability would affect the first N bits. Thus, the halting problem would be solved for p.
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When p = 2 and n = 2, W(n) is the dihedral group of order 8, so in some sense W(n) provides an analogue for the dihedral group for all primes p when n = 2\. However, for higher n the analogy becomes strained. There is a different family of examples that more closely mimics the dihedral groups of order 2n, but that requires a bit more setup. Let ζ denote a primitive pth root of unity in the complex numbers, let Z[ζ] be the ring of cyclotomic integers generated by it, and let P be the prime ideal generated by 1−ζ.
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Marziani, p. 46.De Dominicis, Daniela (1994). "Profili e paesaggi". Flash Art n.186.
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"Buraco lacrado", Isto é Senhor. São Paulo, n.1097, p.23-24, set. 1990.
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The Illustrated History of West Point. New York: Harry N. Abrams, Inc. p.129.
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Gibson, Walter B; Young, Morris N. (1953). Houdini on Magic. Dover Publications. p. 222.
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006Durand, J.-D., W.-J. Chen, K.-N. Shen, C. Fu, & P. Borsa. 2012.
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Grant, John N. (1976), p. 54. He is buried in the Old Burying Ground.
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"L'aire linguistique tibétaine et ses divers dialectes." Lalies, 2005, n°25, p. 7–56.
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73; Downham (2007) p. 162 n. 158; Clancy (2006c); Ewart; Pringle; Caldwell et al.
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"Horace Jayne," Who's Who in America (Chicago: A. N. Marquis & Company, 1911), p. 1009.
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Railway Transportation Systems: Design, Construction and Operation. CRC Press, 2016. P. 156Ye. N. Petrova.
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Anderson, Early Sources, vol. ii, p. 37; Kapelle, Norman Conquest, pp. 151, 273, n.
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E. Faune de France Faune n° 13 1926. Diptères Brachycères. 308 p., 685 fig.
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E. Faune de France Faune n° 13 1926. Diptères Brachycères. 308 p., 685 fig.
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E. Faune de France Faune n° 13 1926. Diptères Brachycères. 308 p., 685 fig.
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E. Faune de France Faune n° 13 1926. Diptères Brachycères.308 p., 685 fig.
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Cormack & Fraile 1990, p. 413. reflective of the ability of N. neglecta to tolerate high saline conditions and frequent ingestion of Antarctic krill,Cormack & Fraile 1990, p. 413. which is composed of high amounts of chitin.Cormack & Fraile 1990, p. 413. Vibrio in N. neglecta may also play a role in osmoregulationCormack & Fraile 1990, p. 416. via regulation of sodium ions.Cormack & Fraile 1990, p. 416.
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429; The Annals of Ulster (2008) § 848.5; Downham (2007) pp. 12–13, 274; Etchingham (2007) pp. 12–14; Woolf (2007) pp. 73 n. 12, 304; Warntjes (2004) pp. 390–391; McGowan (2003–2004) pp. 376–377; Barrett (2003) p. 76; Ó Corráin (2001b) p. 20; Kelly; Maas (1999) p. 151 n. 14; Ó Corráin (1998a) § 7; Ó Corráin (1998b) p. 300; Wamers (1998) p.
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The diode's terminals are attached to the n-type and p-type regions. The boundary between these two regions called a p–n junction, is where the action of the diode takes place. When a sufficiently higher electrical potential is applied to the P side (the anode) than to the N side (the cathode), it allows electrons to flow through the depletion region from the N-type side to the P-type side. The junction does not allow the flow of electrons in the opposite direction when the potential is applied in reverse, creating, in a sense, an electrical check valve.
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For instance, for water in magma the equation is n=0.1078 P where n is the amount of dissolved gas as weight percentage (wt%), P is the pressure in megapascal (MPa) that acts on the magma. The value changes for example for water in rhyolite where n=0.4111 P and for the carbon dioxide is n=0.0023 P. These simple equations work if there is only one volatile in a magma. However, in reality, the situation is not so simple because there are often multiple volatiles in a magma. It is a complex chemical interaction between different volatiles.
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Ladrang form on the phrase making or colotomic instruments. p = kempyang, t = ketuk, ⋅ = pause, N = kenong, P = kempul, GONG = gong ageng.Lindsay, Jennifer (1992). Javanese Gamelan, p.48-49. .
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C. Bolgia, R. McKitterick and J. Osborne), p. 274. A. Paravicini Bagliani, I testamenti dei cardinali del Duecento (Roma 1980), p. cv. His Testament (Gardiner, p. 274 n.
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13; Barrow (1960) p. 20; Anderson (1922) p. 255 n. 1; Munch; Goss (1874) pp. 74–75. the twelfth- to thirteenth-century Chronicle of Melrose,Woolf (2013) p.
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Murray, N (2005) p. 296; Ross, AD (2003) p. 203. As such, Ruaidhrí would have been well placed to harbour the Meic Uilleim in Garmoran.Barrow (1988) p. 5.
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287 n. 18; Duffy (1991) p. 312; Steer; Bannerman; Collins (1977) p. 203. Whilst the slain member of Clann Ruaidhrí seems to have been Ruaidhrí,Hill (2014) p.
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131–133 ch. 11. Magnús gained the submission of Galloway,Oram, RD (2011) p. 49; Forte; Oram; Pedersen (2005) p. 237; Duffy (1992) p. 110, 110 n. 81.
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For example, he was granted safe passage by the English Crown on 24 September 1219.McDonald (2007b) p. 142; Oram (2000) p. 88; Anderson (1922) p. 439 n.
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The two other main branches of Clann Somairle—Clann Ruaidrí and Clann DomnaillBeuermann (2010) p. 108 n. 28; McDonald, RA (2004) p. 180–181; MacGregor, M (2000) p.
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K. N. Ezhuthachan Smaraka puraskaram is an award given by organisation Samskara pattambi in memory of K. N. Ezhuthachan. It was first given in 2014 to Sunil P. Ilayidom. Malayalam short story writer T. P. Venugopalan received K. N. Ezhuthachan Smaraka puraskaram in the year 2016 for his work Kunnumpuram kaarnival(A compilation of Malayalam short stories).
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President: # 1967 — — Vladimir Tikhomirov # 1976 — — Reijer Hooykaas # 1984 — — Gordon Y. CraigRemembering Gordon Y. Craig // INHIGEO Annual Record 2014. N 47. 2015. P. 42-43. # 1989 — — Martin Guntau # 1992 — — David Branagan # 1996 — — Hugh Torrens # 2000 — — Manuel Serrano Pinto # 2004 — — Philippe TaquetINHIGEO Newsletter 2007. N 40. 2008. P. 3-4. # 2008 — — Silvia Fernanda de Mendonça FigueirôaINHIGEO Newsletter 2007. N 40. 2008.
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The value x can for example be found by selecting random values and testing the two Legendre symbols. If p, q = 3 mod 4 (i.e., N is a Blum integer), then the value N − 1 is guaranteed to have the required property. The public key consists of (x, N). The secret key is the factorization (p, q).
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The Japanese raccoon dog (Nyctereutes procyonoides viverrinus), also known as the tanuki ( or ; ), is a subspecies of the Asian raccoon dog. Researchers have suggested that they be considered a separate species, N. viverrinus, or that raccoon dogs of Japan could be further divisible into separate subspecies as N. p. procyonoides (, , ) and N. p. albus (, , ), but both views are controversial.
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Naalvar () is a 1953 Tamil-language drama film directed by V. Krishnan. The film stars A. P. Nagarajan, Kumari Thankam, N. N. Kannappa, M. N. Krishnan and T. P. Muthulakshmi in major roles. Nagarajan, who played the main lead was also the writer of the film. The film revolves around a family consisting of four siblings.
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For example, let n be significantly less than 2b. Consider a pseudorandom number generator function P(key) that is uniform on the interval [0, 2b − 1]. A hash function uniform on the interval [0, n-1] is n P(key)/2b. We can replace the division by a (possibly faster) right bit shift: nP(key) >> b.
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Painter and engraver Eugène Delâtre lived and worked on rue Lepic. He successively occupied addresses n°92, n°87, n°97, and also n°102. Louis Renault built his first car in 1898,Yates, Brock. "10 Best Moguls", in Car and Driver, 1/88, p.47.
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The theorem will be illustrated by picking a point P on the surface in question and regarding the sequence of numbers :\ell(n\cdot P), n\ge 0 i.e., the dimension of the space of functions that are holomorphic everywhere except at P where the function is allowed to have a pole of order at most n. For n = 0, the functions are thus required to be entire, i.e., holomorphic on the whole surface X. By Liouville's theorem, such a function is necessarily constant.
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N. × alisaputrana more closely resembles N. rajah than N. burbidgeae, but it is difficult to confuse this plant with either. However, this mistake has previously been made on at least one occasion; a pitcher illustrated in Insect Eating Plants & How To Grow Them (Slack, 1986) as being N. rajah was in fact N. burbidgeae × N. rajah.Clarke 1997, p. 157.Slack 1986.
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In enzymology, a nitroquinoline-N-oxide reductase () is an enzyme that catalyzes the chemical reaction :4-(hydroxyamino)quinoline N-oxide + 2 NAD(P)+ + H2O \rightleftharpoons 4-nitroquinoline N-oxide + 2 NAD(P)H + 2 H+ The 4 substrates of this enzyme are 4-hydroxyaminoquinoline N-oxide, NAD+, NADP+, and H2O, whereas its 4 products are 4-nitroquinoline N-oxide, NADH, NADPH, and H+. This enzyme belongs to the family of oxidoreductases, specifically those acting on other nitrogenous compounds as donors with NAD+ or NADP+ as acceptor. The systematic name of this enzyme class is 4-(hydroxyamino)quinoline N-oxide:NADP+ oxidoreductase. Other names in common use include 4-nitroquinoline 1-oxide reductase, 4NQO reductase, and NAD(P)H2:4-nitroquinoline-N-oxide oxidoreductase.
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Moll was born in Wauseon, Ohio, and obtained a B.Sc. in Physics and a Ph.D. in Electrical Engineering from Ohio State University in 1943 and 1952 respectively. The Ebers-Moll transistor model, and the theory of the p-n-p-n switch, came from this effort. Moll was the recipient of the Guggenheim Fellowship in 1964; Howard N. Potts Medal, Franklin Institute, 1967, and received the IEEE Edison Medal in 1991 "for pioneering contributions to diffused and oxide-masked silicon devices, transistor analysis, the p-n-p-n switch, and optoelectronics." He was a Fellow of the IEEE and a member of the American Physical Society, the National Academy of Engineering, and the National Academy of Sciences.
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It is known that no non-constant polynomial function P(n) with integer coefficients exists that evaluates to a prime number for all integers n. The proof is as follows: suppose such a polynomial existed. Then P(1) would evaluate to a prime p, so P(1) \equiv 0 \pmod p. But for any integer k, P(1+kp) \equiv 0 \pmod p also, so P(1+kp) cannot also be prime (as it would be divisible by p) unless it were p itself.
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Because the sum of the angle factors is unity, the fourth power of MRT equals the mean value of the surrounding surface temperatures to the fourth power, weighted by the respective angle factors. The following equation is used:2009 ASHRAE Handbook Fundamentals, ASHRAE, Inc., Atlanta, GA. MRT^4 = T_1^4 F_{p-1} + T_2^4 F_{p-2} + ... + T_n^4 F_{p-n} where: :MRT is Mean Radiant Temperature; :T_n is the temperature of surface "n", in Kelvins; :F_{p-n} is the angle factor between a person and surface "n". If relatively small temperature differences exist between the surfaces of the enclosure, the equation can be simplified to the following linear form: MRT = T_1 F_{p-1} + T_2 F_{p-2} + ... + T_n F_{p-n} This linear formula tends to give a lower value of MRT, but in many cases the difference is small.
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59 n. 1, 65; Clarkson (2010) ch. 9; Maddicott (2010); Downham (2007) p. 100; Woolf (2007) p. 151; Dalton (2006) p. 14; Forte; Oram; Pedersen (2005) p. 104; Davidson (2002) p. 87; Woolf (2001a); Williams (1999) p. 85.
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At the other extreme, if the host opens all losing doors but one (p = N − 2) the advantage increases as N grows large (the probability of winning by switching is , which approaches 1 as N grows very large).
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Schlömilch (Zeitschrift, Vol.I, p. 192, 1856) also improved Jacobi's remainder, and showed the relation between the remainder and Bernoulli's function :F(x) = 1^n + 2^n + \cdots + (x - 1)^n. Genocchi (1852) has further contributed to the theory.
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Congress Math. ( Cambridge) 1, 418–421, 1913. proved that :n^2 + n + p \, gives primes for n=0,\dots,p-2 if and only if its discriminant 1-4p is the negative of a Heegner number. (Note that p-1 yields p^2, so p-2 is maximal.) 1, 2, and 3 are not of the required form, so the Heegner numbers that work are 7, 11, 19, 43, 67, 163, yielding prime generating functions of Euler's form for 2,3,5,11,17,41; these latter numbers are called lucky numbers of Euler by F. Le Lionnais.
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However, for p large enough compared to the level N of the level-lowered newform, a rational newform (e.g. an elliptic curve) must level-lower to another rational newform (e.g. elliptic curve). In particular for p ≫ NN1+ε, the mod p Galois representation of a rational newform cannot be isomorphic to that of an irrational newform of level N. Similarly, the Frey-Mazur conjecture predicts that for p large enough (independent of the conductor N), elliptic curves with isomorphic mod p Galois representations are in fact isogenous, and hence have the same conductor.
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Locations of significant Norse-Gaelic settlements, including the Kingdom of Dublin, and major Irish kingdoms. The origins of the Meic Torcaill are uncertain.Downham (2013) p. 165; Etchingham (1994) p. 129; Duffy (1992) p. 122 n. 146. A possible family predecessor may have been a certain Torcall mac Éola, whose slaying in Wales in 1093 is recorded by the Annals of Inisfallen.Downham (2013) p. 168 n. 59; Annals of Inisfallen (2010) § 1093.5; Annals of Inisfallen (2008) § 1093.5; Etchingham (1994) p. 129; Duffy (1993) pp. 10, 41, 41 n. 53.
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Cronquist, A.J., N. H. Holmgren & P. K. Holmgren. 1997. Vascular plants of the intermountain west, U.S.A., subclass Rosidae (except Fabales). 3A: 1–446. In A.J. Cronquist, A. H. Holmgren, N. H. Holmgren, J. L. Reveal & P. K. Holmgren (eds.) Intermountain Flora, Hafner Pub.
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Benthic N. neglecta most commonly feed on krill, but in the summertime, heavily prey on salps.Donatti & Fanta 2002, p. 146. N. neglecta has also been shown to feed on a variety of isopods, amphipods, algae, and bivalves.Barrera-Oro & Casaux 1990, p. 207.
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Damgard, V. Pastro, N. P. Smart, and S. Zakarias. Multiparty computation from somewhat homomorphic encryption, CRYPTO 2012.I. Damgard, M. Keller, E. Larraia, C. Miles and N. P. Smart. Implementing AES via an Actively/Covertly Secure Dishonest-Majority MPC Protocol, SCN 2012.
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Every LP game v is a totally balanced game. So every subgame of v has a non-empty core. One imputation can be computed by solving the dual problem of P(N). Let \alpha be the optimal dual solution of P(N).
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108; Salvucci (2005) p. 101 n. 19; Duffy (2002) p. 59; Oram (2000) p. 43; Power (1986) p. 122; Anderson (1922) p. 116; Jónsson (1911) p. 525 ch. 11; Storm (1899) p. 539 ch. 11; Unger (1868) p. 649 ch. 12; Laing (1844) p.
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A second proof comes from the infinite product for Ep(x): each exponent -μ(n)/n for n not divisible by p is a p-integral, and when a rational number a is p-integral all coefficients in the binomial expansion of (1 - xn)a are p-integral by p-adic continuity of the binomial coefficient polynomials t(t-1)...(t-k+1)/k! in t together with their obvious integrality when t is a nonnegative integer (a is a p-adic limit of nonnegative integers) . Thus each factor in the product of Ep(x) has p-integral coefficients, so Ep(x) itself has p-integral coefficients. The (p-integral) series expansion has radius of convergence 1.
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The National Cyclopaedia of American Biography, Vol. IX, p. 331.Noel M. Loomis, Wells Fargo, p. 43. New York: Clarkson N. Potter, Inc.
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534–537 n. 2. and died at the Battle of Clontarf,Noble; Gondek; Campbell et al. (2019) p. 63; Ní Mhaonaigh (2018) p.
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He did not, as some scholars used to think, study at Paris—though his nephew did.Demski, p. 7. Sternfeld, p. 3, n. 8.
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249; Oram (1988) p. 124. The other, Dervorguilla, married Nicholas de Stuteville, Lord of Liddel.Oram (2004a); Stringer, KJ (2004) p. 225 n. 111.
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14; Anderson (1922) p. 374 n. 2; Stevenson, J (1839) p. 40. Another possible date for this marriage is about a decade earlier.
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128; Oram (1988) p. 139. who—like Óspakr—could have been recognised as king by the Norwegian Crown.Beuermann (2010) p. 107 n. 25.
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"Genesis, Book of". In D. N. Freedman (Ed.), The Anchor Yale Bible Dictionary (Vol. 2, p. 935). New York: DoubledayKugler, Hartin (2009), p.
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ISSN 0886-3032. START: p. 110. CITED: p. 111. Stop N Drive, the first location, was robbed on May 30 of that year.
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Maanikka Thottil was written and produced by Balamurugan under Karpagam Productions, and directed by P. Madhavan. Cinematography was handled by P. N. Sundaram.
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New York Tribune, July 17, 1920 p. 9 (singles semi-finalist); July 15, 1921 p. 11 (singles quarter-finalist). 1922–Essex County (N.
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Abu Ja'far Ahmad ibn Isra'il al-Anbari (; 824 or 825 – September 8, 869)Sourdel, p. 295 n. 2; al-Tabari, v. 36: p.
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171, 171 n. 77; Downham (2013b) p. 147; Annals of Inisfallen (2010) § 1032.6; Annals of Inisfallen (2008) § 1032.6; Bracken (2004a); Etchingham (2001) p.
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11; eDIL s.v. Gébend (n.d.). Whatever the case, the name is clearly Gaelic,Charles-Edwards (2013) p. 527 n. 127; Etchingham (2001) p.
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He was a member of the Cenél nEógain branch of the Uí Néill dynasty.Thornton (2002) p. 90; Hudson (1998) p. 157 n. 40.
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Clark, p. 395 and n. 158.Boyd Hilton, A Mad, Bad, and Dangerous People? England. 1783-1846 (Oxford: Clarendon Press, 2006), p. 383.
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Byrne (2008) p. 18; Brown (2004) p. 272 n. 27. Aonghus Óg and Áine Ní Chatháin were the parents of Eóin Mac Domhnaill.
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336, as cited in Page Melish's prepared statement, p. 226 n. 9, in Legislative Proposals For Compensation of Victims of Sexual Crimes, p.
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439 n. 1; Patent Rolls of the Reign of Henry III (1901) p. 205; Sweetman (1875) pp. 133–134 § 898; Oliver (1861) p.
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In fact, there is evidence that Norman ships were active off Wales in 1210.Pollock (2015) p. 54; Church (1998) p. 49 n.
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Spectrum: HZp (Eilenberg–Maclane spectrum of the integers mod p.) Coefficient ring: πn(HZp) = Zp (Integers mod p) if n = 0, 0 otherwise.
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46, 55 n. 61; Ewan (2006); Barrow, GWS (2005) pp. 377–378; Raven (2005a) p. 63; Boardman, SI (2004); Brown, M (2004) p.
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238 L. The persillum was a rediculum, small container in which the ointment was kept.R. Schilling above p. 99 and n. 4, p.
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Hachette, Paris, 1887, n° 1, p. 242.Jean-Claude Lachaux, Théâtres et amphithéâtres d'Afrique proconsulaire, éd. Édisud, Aix-en- Provence, 1969, p. 33.
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IHES, 111 (2010), p. 1-269). J.-L. Waldspurger proved the Gross- Prasad conjecture for SO(N) groups on a p-adic body.
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5 (Freiburg: Herder'sche Verlagshandlung, 1886), p. 19., citing Anderson, A. O., Early Sources of Scottish History (Edinburgh, 1922), vol. 2, p. 74, n.
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This campaign seems to be reported by the fourteenth-century texts Chronicle of Lanercost,Young (2018) p. 125 n. 91; Caldwell (2012) p.
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137; Anderson (1922) pp. 672-673, 673 n. 1; Maxwell (1913) p. 11; Munch; Goss (1874) pp. 110-111; Stevenson (1839) p. 98.
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44, 44 n. 132; The Annals of Ulster (2017) § 851.3; Lewis (2016) p. 10; Etchingham (2014) pp. 28, 34; Somerville; McDonald (2014) p.
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184–185; Oram (1992) pp. 36 n. 27, 37; Reid, RC (1958) pp. 52–53; Bain (1884) p. 268 § 1049; Stevenson (1870) p.
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"Part of Thespis Score Discovered", The Savoyard, Vol. XX, No. 1 (March 1981), p. 25. Also cited in Stedman, p. 95, n. 52.
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P. 526-531.Dhawale A.J. Dr Subhas Mukherjee and India's first test tube baby. PharmaTutor. 2014. V.2 N.12. P.99-106..
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Choose a section m over {p} and n over {q}, and assume that . Because m and n restrict to the same element 0 over ∅, the gluing axiom requires the existence of a unique section s on that restricts to m on {p} and n on {q}. But because the restriction map from } to {p} is the identity, , and similarly , so , a contradiction. Constant sheaf on a two-point topological space is too small to carry information about both {p} and {q}.
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Phasmarhabditis apuliae n. sp.(Nematoda: Rhabditidae), a new rhabditid nematode from milacid slugs. P. bohemica,Nermuť, J., Půža, V., Mekete, T., & Mráček, Z. (2016). Phasmarhabditis bohemica n. sp.
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Inapproximability. Let ε > 0. Unless P=NP, there is no polynomial algorithm for Vertex Cover such that its domination number is greater than 3^((n-n^ε)/3).
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3, 1994, p. 349-360Bijaoui A., Starck J.L., Murtagh F., Restauration des images multi- échelles par l'algorithme à trous , Traitement du Signal et des Images, v.11 n.3, 1994, p. 229-243Bijaoui A., Rué F., A Vision Model adapted to the astronomical images , Signal Processing, v.46 n.3, 1995, p.
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Chitra Pournami was directed by P. Madhavan, written by Balamurugan, and produced by R. M. Subramaniyan, K. R. Srinivasan and N. Naga Subramaniyan under Sri Bhuvaneswari Movies. Cinematography was handled by P. N. Sundaram, and the editing by R. Devarajan. P. A. Saleem worked as the choreographer, and the film's final cut measured .
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Therefore, no Carmichael number is a strong pseudoprime to every base relatively prime to it. so, in theory, either an Euler or a strong probable prime test could prove that a Carmichael number is, in fact, composite. Arnault gives a 397-digit Carmichael number N that is a strong pseudoprime to all prime bases less than 307: :N = p \cdot (313(p - 1) + 1) \cdot (353(p - 1) + 1 ) where :p = 29674495668685510550154174642905332730771991799853043350995075531276838753171770199594238596428121188033664754218345562493168782883 is a 131-digit prime. p is the smallest prime factor of N, so this Carmichael number is also a (not necessarily strong) pseudoprime to all bases less than p.
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95, 95 n. 139; Crawford (1997) p. 66; Williams, DGE (1997) pp. 37, 88, 142–143; Anderson (1922a) p. 528; Gering (1897) p. 103 ch. 29; Morris; Magnússon (1892) p. 71 ch. 29.
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101 If the modulus is pn, :then pka ::is a residue modulo pn if k ≥ n ::is a nonresidue modulo pn if k < n is odd ::is a residue modulo pn if k < n is even and a is a residue ::is a nonresidue modulo pn if k < n is even and a is a nonresidue.Gauss, DA, art. 102 Notice that the rules are different for powers of two and powers of odd primes. Modulo an odd prime power n = pk, the products of residues and nonresidues relatively prime to p obey the same rules as they do mod p; p is a nonresidue, and in general all the residues and nonresidues obey the same rules, except that the products will be zero if the power of p in the product ≥ n.
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Nevertheless, news of their success in Wessex appears to have enticed the arrival of another Viking army at Reading.Abels (2013) p. 134. This overseas force, variously called ' by the Anglo-Saxon Chronicle, thereupon united with Healfdene's men.Richards; Hadley (2016) p. 41; Hadley; Richards; Brown et al. (2016) p. 55; Somerville; McDonald (2014) p. 232 § 871; Abels (2013) p. 134; Downham (2013a) p. 18; Gigov (2011) p. 75; McLeod, SH (2011) pp. 97–98, 176; Ridyard (2008) p. 211; Downham (2007) p. 68; Halsall (2007) pp. 107, 213; McLeod, S (2006) p. 154 n. 77; Irvine (2004) p. 49 § 871; Keynes; Lapidge (2004) ch. asser's life of king alfred § 40, asser's life of king alfred § 40 n. 73; Miller (2004); Smyth (2002) pp. 20 ch. 40, 222 n. 110; O'Keeffe (2001) p. 59 § 872; Williams, A (1999) pp. 70, 183 n. 37; Swanton (1998) pp. 72–73 § 871; Whitelock (1996) p. 198 § 871; Abels (1992) p. 23; Taylor (1983) p. 35 § 872; Brooks (1979) pp. 4, 9; Conybeare (1914) pp.
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96–97; S 425 (n.d.); S 407 (n.d.). The fullest account of the English campaign is preserved by the twelfth-century Historia regum Anglorum, a source which states that Æthelstan's land forces marched as far as Dunnottar and ', and that his maritime forces reached as far as ' (seemingly Caithness).Molyneaux (2015) p. 30; Clarkson (2014) ch. 5, 5 n. 20; Wood (2013) pp. 140–141; Foot (2011a); Foot (2011b) p. 23; Molyneaux (2011) p. 74; Halloran (2005) p. 137; Davidson (2002) p. 104, 104 n. 137; Hudson (1994) p. 77; Anderson (1908) p. 68; Arnold (1885) p. 93 ch. 83; Stevenson (1855) pp. 482, 502. According to the twelfth-century Libellus de exordio, Owain and the Cumbrians were caught up in campaign, with Owain and his Scottish counterpart, Custantín, being put to flight by Æthelstan's forces.Clarkson (2014) ch. 5; Broun (2004) p. 129; Davidson (2002) p. 104, 104 n. 138; Thornton (2001) p. 67 n. 65; Hudson (1994) p. 72; Anderson (1908) p. 68; Arnold (1882) p. 76 bk. 2 ch. 18; Stevenson (1855) p. 669 ch. 33.
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Thus the quotient \Gamma \backslash N is a compact space locally isometric to N. Note: this space is naturally diffeomorphic to N / \Gamma . Compact nilmanifolds also arise as principal bundles. For example, consider a 2-step nilpotent Lie group N which admits a lattice (see above). Let Z=[N,N] be the commutator subgroup of N. Denote by p the dimension of Z and by q the codimension of Z; i.e.
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Henry M. Hyams was born on March 4, 1806 in Charleston, South Carolina.Louisiana State University Libraries: Hyams (Henry M. and Family) Papers His cousin was Judah P. Benjamin (1811–1884).Robert N. Rosen, The Jewish Confederates, Columbia, South Carolina: University of South Carolina Press, 2000, p. xiEli N. Evans, Judah P. Benjamin: The Jewish Confederate, New York City: Simon and Schuster, 1988, p.
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Locations relating to the Battle of Renfrew. At an uncertain point in the mid twelfth century, perhaps in about 1140, Somairle mac Gilla Brigte married Ragnhildr, daughter of Óláfr Guðrøðarson, King of the Isles.Oram (2011) pp. 88–89; Oram, R (2004) p. 118; McDonald, RA (2000) p. 175 n. 55; McDonald, RA (1997) p. 45; Anderson (1922) p. 255 n. 1.
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The least quadratic residue mod p is clearly 1. The question of the magnitude of the least quadratic non-residue n(p) is more subtle, but it is always prime. The Pólya–Vinogradov inequality above gives O( log p). The best unconditional estimate is n(p) ≪ pθ for any θ>1/4, obtained by estimates of Burgess on character sums.
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Missing data in nursing research: Review of issues and treatment strategies. Hispanic Health Care International, 2(1), 31–38 Peragallo, N. P., DeForge, B., O’Campo, P., & Lee, S. (2002). SEPA: HIV risk reduction intervention for US Latinas. Abstract of the XIV International AIDS Conference, Barcelona, Spain, 159 Peragallo, N. P., DeForge, B., O’Campo, P., Lee, S., & Kim, Y. J. (2002).
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There is also a class of neighborhood operations in which the function has additional parameters which can vary with : Visit each point p in the image data and do { N = a neighborhood or region of the image data around the point p result(p) = f(N, parameters(p)) } This implies that the result is not shift invariant. Examples are adaptive Wiener filters.
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281 n. 6; Macphail (1914) p. 17. Aonghus Óg had a sister who married Domhnall Óg Ó Domhnaill, King of Tír Chonaill;Duffy (2007) p. 16; Duffy (2002b) p.
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144; Anderson, AO (1922) p. 303 n. 1. the fifteenth- to sixteenth-century Annals of Ulster,Downham (2018) p. 49; The Annals of Ulster (2017) § 871.2; Wadden (2016) p.
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142; The Annals of Ulster (2012) § 937.6; Foot (2011a); Foot (2011b) p. 170; The Annals of Ulster (2008) § 937.6; Halloran (2005) p. 133; Davidson (2002) p. 106, 106 n.
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12, 127; Roberts (1997) p. 35; Barrow (1973) p. 339. Also in 1161×1162—perhaps on the same date as Malcolm's aforesaid charter to WalterTaylor (2016c) p. 160 n.
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116; Anderson (1922) p. 143, 143 n. 2. In fact, Toirdelbach Ua Conchobair had invaded Thomond earlier that year,Duffy (2006b) p. 72; O'Byrne (2005); Oram (2000) p. 59.
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101 ch. 138. The saga recounts that Óláfr and Páll journeyed on the same ship,McDonald (2019) p. 69; McDonald (2007b) p. 87; Anderson (1922) p. 474, 474 n.
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63; Origines Parochiales Scotiae (1854) p. 29. One of these transferred territories is recorded as "duabus Ungyns MacCrunnel",Easson (1986) p. 132, 132 n. 5; Barrow (1980) p. 68.
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Francis, M. P., Mulligan, K. P., Davies, N. M., and Beentjes, M. P., Ages and growth estimates for New Zealand hapuku, Polyprion oxygeneios. Fishery Bulletin, 1999 97: 227-242.
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Binary sampling (presence/absence) is frequently used where it is difficult to obtain accurate counts. The dispersal index (D) is used when the study population is divided into a series of equal samples ( number of units = N: number of units per sample = n: total population size = n x N ). The theoretical variance of a sample from a population with a binomial distribution is : s^2 = n p ( 1 - p ) where s2 is the variance, n is the number of units sampled and p is the mean proportion of sampling units with at least one individual present. The dispersal index (D) is defined as the ratio of observed variance to the expected variance.
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Any prime number is clearly cyclic. All cyclic numbers are square-free.For if some prime square p2 divides n, then from the formula for φ it is clear that p is a common divisor of n and φ(n).
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McDonald (2019) p. 67; McDonald (2012) p. 155. In September 1219, Rǫgnvaldr surrendered Mann to the papacy, swore to perform homage for the island, and promised to pay twelve marks sterling in perpetuity as tribute.Wiedemann (2018) pp. 512–513; McDonald (2016) p. 342; Wiedemann (2016) pp. 220–221, 224–225 n. 67, 230; Crawford, BE (2014) p. 73; Beuermann (2010) p. 104, 104 n. 15; McDonald (2007b) pp. 143–144, 186, 190; Power (2005) p. 40; Watt (2000) p.
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590–592 n. 2. The event is documented by the Annals of the Four Masters,Annals of the Four Masters (2013a) § 1052.8; Annals of the Four Masters (2013b) § 1052.8; Duffy (2006) p. 55; Duffy (2002) p. 53; Duffy (1993a) p. 32; Duffy (1992) p. 94; Candon (1988) p. 399; Anderson (1922a) pp. 590–592 n. 2. the Annals of Tigernach,Charles- Edwards (2013) pp. 528, 573; The Annals of Tigernach (2016) § 1052.2; Duffy (2006) p.
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Modern integrated circuits are CMOS logic, which uses both p-channel and n-channel transistors.
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Humann, P. and N. Deloach, 1993. Reef fish identification. Galápagos. New World Publications, Inc., Florida.
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Music was composed by S. N. Ranganathan while P. R. Rajagopala Iyer wrote the lyrics.
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S.Tenney and N K Humphreys, (2011). Historical Dictionary of the International Monetary Fund, p. 457.
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The public key is then (n,g,h) and the private key is (p,q).
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N. Worden: Cape Town: The Making of a City. New Africa Books. 2011. p 171.
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106, with n. 184; LIMC Herakles 2553. was possibly influenced by Stesichorus' poem.Bowra, p. 120.
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James N. Loehlin. The Cambridge Introduction to Chekhov. Cambridge University Press, 2010. P. 172-173.
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Zack, N., The Handy Philosophy Answer Book (Canton, MI: Visible Ink Press, 2010), p. 354.
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Marcus Junius C. f. M. n. Silanus (c. 26 BC - AD 37)Barrett (1989), p.
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A. N. McIver; resigned. Walter H. Daniel. Montgomery -- Thomas R. Stacey; resigned. A. P. Wilson.
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Charles Partee, The Theology of John Calvin (Westminster John Knox Press, 2008), p. 2, n.
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State Formation in Japan: Emergence of a 4th-Century Ruling Elite, p. 226 n.5.
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Primary drainage regions L, M, N, P, Q and tertiary drainage regions K80 and K90.
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También fue campeón invicto. El Gráfico Especial n. 39 - "River momentos inolvidables". Revistas Deportivas, p.
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Christos N. Gage (w), Mike Perkins (p, i), House of M: Avengers #3 (February, 2008).
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Evolution, Systematics, and Biogeography. Handbook of Zoology Vol. IV, Part 35. N. P. Kristensen, ed.
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On one hand, this term could well refer to Orkney.Downham (2013) p. 157 n. 1.
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129; Duffy (2005); Duffy (1993) p. 63, 63 n. 86; Macdonald; McQuillan; Young (n.d.) pp.
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Statue of Sobekemsaf I n. 386, description and translation of the inscriptions p. 5-6.
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Beukeboom, L. & Perrin, N. (2014). The Evolution of Sex Determination. Oxford University Press, p. 25 .
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"The Origins of Freedom of Speech and Press", Maryland Law Review, p. 438 n. 46.
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Brian Leiter (ed.), The Future for Philosophy, Oxford University Press, 2006, p. 44 n. 2.
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C. N. Pyrgidis. Railway Transportation Systems: Design, Construction and Operation. CRC Press, 2016. P. 156Ye.
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Hugo Verdaasdonk, "Quotations expressing the valuative stands of literary reviewers," in P. 393 n. 1.
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Mares, 88 P. 1128 (N.M. Terr. 1907); United States v. Lucero, 1 N.M. 422 (N.
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Carlo Piacentino, Paolo Formiconi, Alpini in Montenegro, p. 13, Storia Militare n. 243 (December 2013).
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The film had supporting cast featuring NSK, Mathuram, Kali N. Ratnam, and P. A. Periyanayaki.
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In forward bias, the positive terminal of the battery is connected to the p-type material and the negative terminal is connected to the n-type material so that holes are injected into the p-type material and electrons into the n-type material. The electrons in the n-type material are called majority carriers on that side, but electrons that make it to the p-type side are called minority carriers. The same descriptors apply to holes: they are majority carriers on the p-type side, and minority carriers on the n-type side. A forward bias separates the two bulk half-occupancy levels by the amount of the applied voltage, which lowers the separation of the p-type bulk band edges to be closer in energy to those of the n-type.
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Band-bending for p–n diode in reverse bias Quasi-Fermi levels in reverse-biased p–n diode. In reverse bias the occupancy level for holes again tends to stay at the level of the bulk p-type semiconductor while the occupancy level for electrons follows that for the bulk n-type. In this case, the p-type bulk band edges are raised relative to the n-type bulk by the reverse bias vR, so the two bulk occupancy levels are separated again by an energy determined by the applied voltage. As shown in the diagram, this behavior means the step in band edges is increased to , and the depletion region widens as holes are pulled away from it on the p-side and electrons on the n-side.
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34, p.61 (1954) Link. The reagent is sodium amide or another alkali metal amide and the reaction product a N,N-dialkylbenzylamine with a new alkyl group in the aromatic ortho position. For example, benzyltrimethylammonium iodide, [(C6H5CH2)N(CH3)3]I, rearranges in the presence of sodium amide to yield the o-methyl derivative of N,N-dimethylbenzylamine.
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A P-substrate MOSFET (often called PMOS) is a MOSFET with opposite doping types (N instead of P and P instead of N in the cross-section in figure 1). This MOSFET is made using a P-type substrate, with a P− epitaxy. As the channel sits in a N-region, this transistor is turned on by a negative gate to source voltage. This makes it desirable in a buck converter, where one of the terminals of the switch is connected to the high side of the input voltage: with a N-MOSFET, this configuration requires to apply to the gate a voltage equal to V_{in} +V_{GS}, whereas no voltage over V_{in} is required with a P-MOSFET.
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100, 100 n. 1. Ubba later appears in Alfred the Great; Or, The Enchanted Standard, a musical drama by Isaac Pocock (died 1835),Miles (1902) p. 78 n. 2.
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Other stabilizers of a similar nature are 4-nitrodiphenylamine, N-nitrosodiphenylamine. While N-methyl-p-nitroaniline(MNA also used in IMX-101), and diphenylamine(DPA) are more commonly employed.
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119 n. 128; 120; Ó Corráin (1971) p. 26. His death there suggests that the Meic Murchada were patronising this Norse-Gaelic enclave,Duffy (1992) pp. 119 n. 128.
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132, 132 n. 184. If so, this source would appear to be evidence that the Dubliners had retained close links with the Isles.Duffy (1992) p. 132, 132 n. 184.
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85 n. 88; Duffy (1993) p. 61, 61 n. 69. This could indicate that the incursion took place in the immediate aftermath of John's conquest of Ulaid in 1177.
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Napometa is a genus of Atlantic dwarf spiders that was first described by P. L. G. Benoit in 1977. it contains only two species: N. sanctaehelenae and N. trifididens.
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Equifine: Windsor. Salmon, P, Stanton, N. A., Gibbon, A, Jenkins, D. and Walker, G. H. (2010) Human Factors Methods and Sports Science: A Practical Guide. CRC Press: London, UK. Salmon, P. M., Stanton, N. A., Lenné, M., Jenkins, D. P., Rafferty, L. A. and Walker, G. H. (2011) Human Factors Methods and Accident Analysis. Ashgate: Aldershot, UK. Rafferty, L. A., Stanton, N. A. and Walker, G. H. (2012) Human Factors of Fratricide.
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Anastasios N. Goudas, 1874, p. 236. where he served as a dean three times. He retired in 1866 due to a serious health problem and died a few years later, on 19 November 1872. A big crowd attended his funeral.Anastasios N. Goudas, 1874, p. 241 - 242. He was married to Eleni Asimakopoulou, whom he met during his stay in Trieste. They had two children, Irinaios and Evridiki.Anastasios N. Goudas, 1874, p. 235 - 236.
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Acosta, E., & Peragallo, N. P. (2001). Looking forward, looking back: A qualitative analysis of a focus group of HIV positive Latinas. Revista Interamericana de Psicología/Interamericano Journal of Psychology, 35(2), 167–181 Cianelli, R., Ferrer, L., & Peragallo, N. P. (2003). A concept analysis of empowerment: Its relationship to HIV/AIDS prevention in Latino women. Hispanic Health Care International, 2(1), 6–12 Ferrer, L. M., Cianelli, R., Peragallo, N. P., & Cabieses, B. (2004).
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Piezoresistors can be fabricated using wide variety of piezoresistive materials. The simplest form of piezoresistive silicon sensors are diffused resistors. Piezoresistors consist of a simple two contact diffused n- or p-wells within a p- or n-substrate. As the typical square resistances of these devices are in the range of several hundred ohms, additional p+ or n+ plus diffusions are a potential method to facilitate ohmic contacts to the device. Image:Piezoresistor.
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135; Kershaw (1922) p. 112; Todd (1867) p. 175 n. 16. The dialogue between Domnall and Plait may therefore evince bilingualism between the two.
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Lorenzo Scott: The Dining Room Lady (color) p. 280; description, p. 401\. American Folk Art Museum in association with Harry N. Abrams, Inc., Publishers.
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His description of Campe is similar to Hesiod's description of the monster Typhon (Theogony 820 ff.).Rouse, p. 79 n. c; Ogden, p. 85.
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38; Duffy (1993b) p. 16. In fact, during the following year, Muirchertach and Magnús cooperated in military operations throughout Ireland.Driscoll (2008) p. 105 n.
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321, 321 n. 11; De Simon (1909) p. 30 § 871. The captives could have been meant for ransom,Forte; Oram; Pedersen (2005) p. 88.
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52, 174 n. 1. The Annals of UlsterThe Annals of Ulster (2017) § 872.5; Edmonds (2015) p. 60; Evans (2015) p. 150; Clarkson (2014) ch.
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74 n. 3. He also appears in the Sketch of Alfred the Great: Or, the Danish Invasion,Henderson (1950) p. 91; Miles (1902) p.
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76 n. 2; Arnold (1885) p. 372. as well as the thirteenth-century Chronica majora,Thornton (2001) p. 60; Luard (1872) pp. 466–467.
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Irish sources accord him the title rí Bretan ("King of the Britons").Edmonds (2014) p. 208; Broun (2007) p. 94 n. 62; Busse (2006c).
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236; Hammond, M (2010) p. 6.—the king granted Walter the lands of Mow for the service of one knight.Taylor (2018) p. 44 n.
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304 n. 57; Schachter 1967, p. 4; Fontenrose, p. 319; Scholia on Pindar Pythian 11.5–6 (Drachmann, pp. 254-255); Oxyrhynchus Papyri X 1241.4.
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Murray, p. 25 n. 1. In 1949, B. H. Wood estimated that the number had increased to about 20,000.Hooper and Whyld, p. 229.
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146; Duffy (1992) p. 128 n. 166. and the two could have been a couple for some time before their formal marriage.Pollock (2005) p.
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Second Edition (London: Routledge, 1999), p. 26. The profits, after Ruhr-Rhineland occupation costs, were nearly 900 million gold marks.Marks, p. 35, n. 57.
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105–106; Jónsson (1903) p. 316 ch. 69. Orkneyinga saga,McDonald (2019) pp. 49, 55 n. 12; Etheridge; Hart; Heans- Głogowska; Kupiec (2014) p.
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Blair, "Saints", p. 541; Dumville, Liturgy, p. 62, n. 131 The Priory of Ivychurch in Wiltshire is thought to have been named after him.
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Poland flight tested four missiles in September 2006 against P-15 Termit (SS-N-2 'Styx') targets. The P-40 "Long Track" radar set.
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Scientific Concepts and Investigative Practice, p. 204–08Trigiano, Robert N.; Windham, Mark T.; Windham, Alan S. (2004). Plant Pathology: Concepts and Laboratory Exercises, p.
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76Green, Jonathan. American Photography: A Critical History 1945 to the Present, New York, Harry N. Abrams, 1984, words: p.180, picture: p.178Edkins, Diana.
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David Eggenberger p.10Peter N. Stearns, William Leonard Langer p.296 Dom António was therefore forced to recruit an irregular army composed mainly of local peasants and townspeopleTony Jaques p.25Cathal J. Nolan p.
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Argyll: An Inventory of the Monuments (1992) p. 258 § 119; Campbell (1911) p. 278 n. 1. Other attested witnesses were Murchadh,Argyll: An Inventory of the Monuments (1992) p. 258 § 119; Sellar (1971) p.
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This article has defined jets of local sections of a bundle, but it is possible to define jets of functions f: M → N, where M and N are manifolds; the jet of f then just corresponds to the jet of the section :grf: M → M × N :grf(p) = (p, f(p)) (grf is known as the graph of the function f) of the trivial bundle (M × N, π1, M). However, this restriction does not simplify the theory, as the global triviality of π does not imply the global triviality of π1.
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Diazomethane laboratory preparation Diazomethane is prepared by hydrolysis of an ethereal solution of an N-methyl nitrosamide with aqueous base. The traditional precursor is N-nitroso-N- methylurea, but this compound is itself somewhat unstable, and nowadays compounds such as N-methyl-N'-nitro-N-nitrosoguanidine (MNNG) and N-methyl-N- nitroso-p-toluenesulfonamide (Diazald) are preferred. :Common routes for the preparation of diazomethane. CH2N2 reacts with basic solutions of D2O to give the deuterated derivative CD2N2.
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French (2015a) p. 24; Downham (2013) p. 157 n. 1; Song of Dermot and the Earl (2011) pp. 167, 169, 171, 173, 175, 177, 179 §§ 2275–2454; Duffy (2007b) p.
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"Selection of resistant poplars to fungal pathogens", p. 10 Blumenfeld, S. N. & H. Rubi. "Bioconversion of agroindustrial wastes by wood-degrading mushrooms", p. 11 Antola, M.B., Bucki, P. & S.N. Blumenfeld.
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Boardman, S (2006) p. 95. According to Gesta Annalia II, John Gallda and Johanna indeed had a son, or sons,Boardman, S (2006) p. 110 n. 6; Skene (1872) p.
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116 Lang and Nagata proved that if a field is Ck, then any extension of transcendence degree n is Ck+n.Lorenz (2008) p.119Serre (1997) p.88Fried & Jarden (2008) p.
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Although Expugnatio Hibernica reveals that Ascall's life had originally been reserved for ransom, both this source, and La Geste des Engleis en Yrlande, report that he was soon beheaded on account of his recalcitrance.French (2015a) p. 24; Davies (2014) p. 233 n. 65; Downham (2013) p. 157 n. 1; Song of Dermot and the Earl (2011) p. 181 §§ 2465–2472; Song of Dermot and the Earl (2010) p.
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In mathematics, specifically group theory, finite groups of prime power order p^n, for a fixed prime number p and varying integer exponents n\ge 0, are briefly called finite p-groups. The p-group generation algorithm by M. F. Newman and E. A. O'Brien is a recursive process for constructing the descendant tree of an assigned finite p-group which is taken as the root of the tree.
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40 ch. 52, 25; Stevenson, J (1854) p. 457. It is possible that this operation was coordinated with another Viking attack in Devon that culminated in the Battle of ' in 878.Gore (2016) pp. 62–64; Abels (2013) p. 154; Downham (2013a) pp. 23–24; Haslam (2011) p. 202; Downham (2007) p. 204; McLeod, S (2006) pp. 153 n. 72, 154, 154 n. 77; Forte; Oram; Pedersen (2005) p.
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Ed., 2017, 56, p. 12557−12560P. Ai, K. Yu. Monakhov, J. van Leusen, P. Kögerler, C. Gourlaouen, M. Tromp, R. Welter, A. A. Danopoulos, P. Braunstein « Linear Cu2Pd, CuPd2 and Ag2Pd metal chains supported by rigid N,N’-diphosphanyl NHC ligands and metallophilic Interactions », Chem. Eur. J., 2018, 24,, p. 8787−8796 (front cover)X. Ren, M. Wesolek, P. Braunstein « Nickel(II) complexes with tritopic Nimine CNHCNamine pincer ligands », Chem. Eur.
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Fn) # Janez Strnad, Sevalni tlak in P. N. Lebedev (Radiation Pressure and P. N. Lebedev), (Obzornik mat, fiz. 48 (2001) 1, pp 148 – 153). (PACS 01.65.+g, 45.40GJ) # Janez Strnad, Prožni trak kot model vesolja (The elastic ribbon as a model universe), (Obzornik mat, fiz.
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N. neglecta possess an inflammatory response pathway that has made the fish suitable for the cold Antarctic environment.Silva, Hernandez-Blazquez & Barbieri 1998, p. 212. Additionally, N. neglecta synthesizes eight antifreeze proteins to combat the freezing temperatures of the environment.Cheng, Fernandes, Detrich & DeVries 1990, p. 9265.
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Halothamnus subaphyllus is an important fodder plant of the grazed deserts of Middle Asia. It is eaten by sheep, goats and camelsG. K. Kinzikaeva: Aellenia. - In: P. N. Občinnikov (Hrsg.): Flora Tadžikskoj SSR 3: p.419-425. - Leningrad: Nauka, 1968 and by cattle,N.
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N-type doping can be achieved with elements such as boron, aluminium, gallium, or indium. Iodine and iron will also dope n-type. HgTe is naturally p-type due to mercury vacancies. P-type doping is also achieved by introducing zinc, copper, silver, or gold.
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Moody, Martin, and Byrne, (eds.), Maps, Genealogies, Lists, p. 193, n. 26. Conchobar died in unknown circumstances in 833, to which renewed Viking raids formed the backdrop. He is buried at Clonard Abbey.Moody, Martin, and Byrne, (eds.), Maps, Genealogies, Lists, p. 193, n. 25.
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Vakra ragas are janya ragas that have swaras arranged in a zig zag manner. For e.g. Raga Sri has the following arohanam and avarohanam : S R M P N S. S. N P M R G R S. Such a raga is called vakra raga.
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The only prime belonging to two pairs of cousin primes is 7. One of the numbers n, n+4, n+8 will always be divisible by 3, so n = 3 is the only case where all three are primes. An example of a large proven cousin prime pair is (p, p + 4) for :p = 4111286921397 · 266420 \+ 1 which has 20008 digits. In fact, this is part of a prime triple since p is also a twin prime (because p − 2 is also a proven prime). A large known cousin probable prime (PRP) is :474435381 · 298394 − 1 :474435381 · 298394 − 5. It has 29629 digits and was found by Angel, Jobling and Augustin.474435381 · 298394 − 1. Prime pages.
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The system of ω-logic includes all axioms and rules of the usual first-order predicate logic, together with, for each T-formula P(x) with a specified free variable x, an infinitary ω-rule of the form: :From P(0),P(1),P(2),\ldots infer \forall x\,(N(x)\to P(x)). That is, if the theory asserts (i.e. proves) P(n) separately for each natural number n given by its specified name, then it also asserts P collectively for all natural numbers at once via the evident finite universally quantified counterpart of the infinitely many antecedents of the rule. For a theory of arithmetic, meaning one with intended domain the natural numbers such as Peano arithmetic, the predicate N is redundant and may be omitted from the language, with the consequent of the rule for each P simplifying to \forall x\,P(x).
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Phenylalanine N-monooxygenase (, phenylalanine N-hydroxylase, CYP79A2) is an enzyme with systematic name L-phenylalanine,NADPH:oxygen oxidoreductase (N-hydroxylating). This enzyme catalyses the following chemical reaction : L-phenylalanine + 2 O2 \+ 2 NADPH + 2 H+ \rightleftharpoons (E)-phenylacetaldoxime + 2 NADP+ \+ CO2 \+ 3 H2O (overall reaction) :(1a) L-phenylalanine + O2 \+ NADPH + H+ \rightleftharpoons N-hydroxy-L- phenylalanine + NADP+ \+ H2O: :(1b) N-hydroxy-L-phenylalanine + O2 \+ NADPH + H+ \rightleftharpoons N,N-dihydroxy-L-phenylalanine + NADP+ \+ H2O :(1c) N,N-dihydroxy-L-phenylalanine \rightleftharpoons (E)-phenylacetaldoxime + CO2 \+ H2O Phenylalanine N-monooxygenase is a heme-thiolate protein (P-450).
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The debut featured ballet artists of the Tbilisi Z. Paliashvili State Academic Theatre of Opera and Ballet: M. Zurashvili, E. Bezirgani, Yu. Sorokin, K. Muhashavriya, L. Bakhtadze, L. Chkhikvishvili, M. Chikovani, K. Bakradze, L. Khozashvili, O. Kuznetsova, N. Ochiauri, C. Cholokashvili, P. Khelashvili, Amaglobeli, M. Alpaidze, N. Godziashvili, N. Lozovaya, I. Fomenko, N. Kupunia, M. Aleksidze, K. Kvitsiani, N. Dzhigauri, V. Tsignadze, G. Kukuladze, A. Tsereteli, P. Godziashvili, Z. Revazishvili, V. Vlasov. This was the first tour in Turkey through the whole history of Georgian ballet.
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The Pentamind champion is the player with the highest numerical score in "pentamind points" from 5 valid events. This is calculated using the formula 100 x (n - p) / (n - 1), where n is the number of players and p is the player's position in an event. The position is the position before tie-breaks and any split positions are shared amongst all of the tied players. When there are fewer than 10 players in a tournament, the score is multiplied by a secondary factor [p / (p + 1)].
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N-type diamond films are reproducibly synthesized by phosphorus doping during chemical vapor deposition. Diode p-n junctions and UV light emitting diodes (LEDs, at 235 nm) have been produced by sequential deposition of p-type (boron-doped) and n-type (phosphorus-doped) layers. Diamond transistors have been produced (for research purposes). FETs with SiN dielectric layers, and SC-FETs have been made.
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According to the "two sense" view of existence, which derives from Alexius Meinong, existential statements fall into two classes. # Those asserting existence in a wide sense. These are typical of the form "N is P" for singular N, or "some S is P". # Those asserting existence in a narrow sense. These are typical of the form "N exists" or "Ss exist".
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This can be proven by induction from the n=4 case, in each case replacing a side with three more sides and noting that these three new sides together with the old side form a quadrilateral which itself has this property; the alternate angles of the latter quadrilateral represent the additions to the alternate angle sums of the previous n-gon. Let one n-gon be inscribed in a circle, and let another n-gon be tangential to that circle at the vertices of the first n-gon. Then from any point P on the circle, the product of the perpendicular distances from P to the sides of the first n-gon equals the product of the perpendicular distances from P to the sides of the second n-gon.
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"No caminho para a bomba atômica", Isto É Senhor, Rio de Janeiro, vol. 7, n. 365, p. 18-23, Dezembro 1983"A bomba atômica no porão", Veja, São Paulo, n.
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A contract was entered into between two companies whereby the L&N; would lease its rights.Herr, Kincaid A.(1943). "The Louisville & Nashville Railroad, 1850-1942." L. & N. Magazine. p. 62.
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Phrealcia friesei is a species of moth of the family Ypsolophidae. It is found in the Toros Mountains in Turkey., 2012: Phrealcia steueri n. sp. und P. friesei n. sp.
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35, n. 43. Kardorff helped found the German National People's Party.Hertzman, p. 26, n. 7. At one of its first public meetings in December 1918, Kardorff was the main speaker.
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32, n. 17Ryholt, p. 178, n. 639 Nebiryraw is also depicted along with the goddess Maat on a small stela which is part of the Egyptian collection located in Bonn.
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An alternative and equivalent definition of Carmichael numbers is given by Korselt's criterion. :Theorem (A. Korselt 1899): A positive composite integer n is a Carmichael number if and only if n is square-free, and for all prime divisors p of n, it is true that p - 1 \mid n - 1. It follows from this theorem that all Carmichael numbers are odd, since any even composite number that is square-free (and hence has only one prime factor of two) will have at least one odd prime factor, and thus p - 1 \mid n - 1 results in an even dividing an odd, a contradiction.
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If N is a lambda-term without abstraction, but possibly containing named constants (combinators), then there exists a lambda-term T(`x`,N) which is equivalent to `λx.`N but lacks abstraction (except as part of the named constants, if these are considered non-atomic). This can also be viewed as anonymising variables, as T(`x`,N) removes all occurrences of `x` from N, while still allowing argument values to be substituted into the positions where N contains an `x`. The conversion function T can be defined by: : T(`x`, `x`) := I : T(`x`, N) := K N if `x` is not free in N. : T(`x`, M N) := S T(`x`, M) T(`x`, N) In either case, a term of the form T(`x`,N) P can reduce by having the initial combinator I, K, or S grab the argument P, just like β-reduction of `(λx.
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Excerpt from folio 32r of Oxford Bodleian Library Rawlinson B 503 (the Annals of Inisfallen) concerning the two marital alliances conducted by Muirchertach in 1102.Annals of Inisfallen (2010) § 1102.6; Annals of Inisfallen (2008) § 1102.6; Bodleian Library MS. Rawl. B. 503 (n.d.). The marriage agreement between Magnús and Muirchertach is noted in several sources. The Annals of Inisfallen and the Annals of the Four Masters reveal that the marriage took place in 1102.Ní Mhaonaigh (2018) pp. 146–147; Annals of the Four Masters (2013a) § 1102.11; Annals of the Four Masters (2013b) § 1102.11; Annals of Inisfallen (2010) § 1102.6; Annals of Inisfallen (2008) § 1102.6; Driscoll (2008) p. 105 n. 143; Power (2005) p. 17, 17 n. 15; Duffy (2002) p. 59; Holland (2000) p. 130 n. 86; Duffy (1993a) p. 38; Chandler (1989) p. 10; Power (1986) p. 122; Anderson (1922) p. 126 n. 3. Other sources reporting the marriage include the twelfth-century Ágrip af Nóregskonungasǫgum,Downham (2017) p. 100; Jakobsson (2013) p.
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According to the "D" version of the Anglo-Saxon Chronicle, the meeting took place at ', and was attended by Æthelstan, the Welsh king Hywel Dda, Custantín, Owain ap Hywel, King of Gwent, and Ealdred.Firth (2018) p. 45; Keynes (2015) p. 79; McGuigan (2015a) p. 28; McGuigan (2015b) p. 42; Molyneaux (2015) pp. 30, 52–53; Clarkson (2014) ch. 5, 5 n. 5; Smith (2014) pp. 117–118; Charles- Edwards (2013b) pp. 511–512; Wood (2013) p. 140; Foot (2011b) pp. 20, 161; Molyneaux (2011) pp. 59, 69, 88; Clarkson (2010) ch. 9; Little (2007) pp. 340–341; Downham (2007) pp. 100, 164–165, 213; Woolf (2007) pp. 151–152; Dalton (2006) p. 14; Snyder (2003) p. 181; Davidson (2002) pp. 76–77, 77 n. 32; Fulton (2000) p. 10 n. 20; Whitelock (1996) pp. 38, 220; Lapidge (1980) p. 91; Kirby (1976) p. 3, 3 n. 17; Anderson (1908) pp. 66–67.
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290, p. 1 and p. 20. Gianni Dragoni, “J’ai intenté le Vélib’ et Attali n’en a pas voulu!”, Courrier International, October 31, 2007, n. 887.
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133, 133 n. 2. In fact, Alan's own name may also be evidence of Frankish influence on his family.Oram (2008) p. 180; MacQueen (2003) p.
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P. Thoyras de Rapin, ed. N. Tindal, History of England, English edition with continuation (John and Paul Knapton, London 1747), Vol. IV. Part 2, p.
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5 ¶ 61; Argyll: An Inventory of the Monuments (1992) pp. 19, 537 n. 52; Campbell (1911) p. 280; Calendar of the Patent Rolls (1898) p.
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Parker, p. 358 n. 139; scholiast on Aristides, Vol. 3, p. 648 213, 18 Dindorf. By other accounts apparently, Iacchus was the husband of Demeter.
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Jama et al. 2000, p.202 It has shown to increase plant yields and the soil nutrients of nitrogen (N), phosphorus (P), and potassium (K).
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156, n. 9Golb 2004, p. 1 So, although in all of his writings he invariably refers to himself in the third person,Golb 2004, p.
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P. neusticuri has only been described from the blood of N. bicarinatus. It is not clear if P. neusticuri causes disease symptoms in this host.
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No longer the cherubic man-child of his Quex years, by 1940 Ohlsen had disappeared from the public eye.Rentschler (1996) p. 327, n. 68; p.
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89, 104; Downham (2012); Lebor na Cert (2008a) p. 15 § 18; Lebor na Cert (2008b) p. 10 § 18; Hudson (2005) pp. 87, 223 n. 22.
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4 'Las Lineas Y Formas de Paul Frank', review, Metro 20 minutos Feb 21, p. 24 2001: Front cover (a-n) Magazine, February, Review p. 7, Article p. 34\. Robert Clark.
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In fact, the Old Norse personal name Margaðr is a form of the Gaelic personal name Murchad,Byrne (2008) p. 890; Kunin; Phelpstead (2008) p. 110; Woolf (2007) p. 244 n.
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88; Williams (1997) p. 260; Munch; Goss (1874) p. 203 n. 45. Certainly, a man of the name is known to have been a son of Guðrøðr Óláfsson,McDonald (2007) p.
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571; Clarkson (2010) chs. genealogical tables, introduction ¶ 12, 2 ¶ 35–36, 4 ¶ 44, 8 ¶ 23, 9 ¶ 4; Bartrum (2009) p. 642; Woolf (2007) p. 28; Charles-Edwards (2006) p. 324 n.
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Then, the decimal expansions of for n = 1, 2, ..., p − 1, all have period p − 1 and differ only by a cyclic permutation. Such numbers p are called full repetend primes.
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Alternately, the word may instead represent the Hebridean island of Islay,McDonald (2012) pp. 164, 180–181 n. 145; Duffy (2006) p. 60; Hudson, BT (2005) p. 171; Sellar (2000) p.
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Symeonidis, N. Petrides, G. Xenophontos, P. Michaelides, I. Ioannides, K. Tsimmilis, E. Yannakakis and M. Constantinides.
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William H. Canfield. Outline Sketches of Sauk County. Baraboo, Wis.: A. N. Kellogg, 1861, p. 46.
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Original description Charaxes Carteri, sp. n. Female Charaxes cedreatis, Hewitson, Exot. Butt., 5, p. 40 ; pi.
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No certain ancient depictions of Echidna survive.Hošek, p. 679; Ogden 2013a, pp. 80-81 n. 37.
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Examples:Cheemala, M. N.; Knochel, P. Org. Lett. 2007, 9, 3089.Zhu, S.-F.; Xie, J.-B.
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Rose, Saul. Socialism in Southern Asia. London: Oxford University Press, 1959. p. 181Trager, Frank N (ed.).
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NAPT (pronounced N-A-P-T) are an English electronic dance music production and DJ duo.
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" Kennedy. #"The Wonderful Pump." The single story illustrated by N. P. Hall. #"The Dummy That Lived.
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Rhŷs (1890) p. 262; Williams Ab Ithel (1860) pp. 26–27; Jesus College MS. 111 (n.
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N. neglecta is also commercially fished, although not in high numbers.Barrera-Oro & Casaux 1990, p. 207.
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236 bk. 2 ch. 148. and De primo Saxonum adventu,McGuigan (2015b) p. 144, 144 n.
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Duthu, N. Bruce (2008). "American Indians and the Law," p. 106-107. Viking Penguin, New York, .
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Charles Moore, Margaret Thatcher, Volume One: Not For Turning (London: Allen Lane, 2013), p. 467, n.
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It is threatened by habitat destruction.Moreno, P. and N. Pitman. 2003. Lysipomia tubulosa. In: IUCN 2013.
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114 After 19.Bh5 the position was unclear (Bagirov).Matanović 1984 (Vol B), p. 48, n.
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GUSMÃO, Emery Marques. ARQUIVOS ESCOLARES, MEMÓRIA E CULTURA. UNESP – FCLAs – CEDAP, V.1, n.1, p.
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" Towards A Definition Of Functional Ecology On JSTOR ". Jstor.org. N. p., 2017. Web. 2 May 2017.
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Farberow, N. L. (Ed.) (1975). Suicide in Different Cultures. Baltimore, Md.: University Park Press, 286 p.
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William D. Haywood, "Butte better," International Socialist Review, Feb. 1915, v.15 n.8 p.474.
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See Dowden, Bishops, p. 205, n. 1; Cockburn, Medieval Bishops, pp. 114-5, repeats this mistake.
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131 (Jan. 1989), p. 15, n. 67. The garland paintings are often of a large size.
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These results verified that N. lasiopterus have nursing colonies located in Hungary.Estok, P. et al. 2007.
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She was a member of P. E. N. Club, National Woman's Party, Phi Beta Kappa Society.
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78 § 237. He further received the bailliary of Appin of Dull.Boardman, S (2006) p. 110 n.
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Lois N. Magner, A History of the Life Sciences, 3rd ed., Marcel Dekker, 2002, p. 346.
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Chomsky, N., Language and mind. Enl. ed. 1972, New York: Harcourt Brace Jovanovich. xii, 194 p.
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Como Jonas, no ventre da pintura. Módulo, Rio de Janeiro, n. 79, p. 22–25, 1984.
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Dudi Maia Rosa. Arte em São Paulo, São Paulo, n. 21, p. 28–32, mar. 1984.
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"Cronologie", in Grigore Băjenaru, Cișmigiu & Comp. Bună dimineața, băieți!, [n. p.]. Bucharest: Editura Litera International, 2009.
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"Who Invented the Mambo?" part 2. Latin Beat Magazine. v. 2 n. 9: 9. p. 11.
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Munroe, Alexandra. Japanese Art After 1945: Scream Against the Sky. Harry N. Abrams Inc, 1994. p.
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Therefore, \ell(0) = 1. In general, the sequence \ell(n\cdot P) is an increasing sequence.
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24; Anderson (1922b) pp. 43–44 n. 6. or Ireland.McDonald (2007b) p. 62; Duffy (2006) pp.
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'Sovetskoe Foto and Photography Clubs in the Late Soviet Period'. Studia Culturae, [S.l.], n. 29, p.
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The seal of Alasdair Óg's father, Aonghus Mór.Caldwell, DH (2016) p. 352; Caldwell, DH (2008) p. 21; McDonald (2007) p. 56; McAndrew (2006) pp. 66–67; Caldwell, DH (2004) pp. 73–74, 74 fig. 2b; McAndrew (1999) p. 750 § 3631; McDonald (1995) pp. 131–132, 132 n. 12; Rixson (1982) pp. 125, 128, 130, 218 n. 4, pl. 3a; McKean (1906) p. 33; Macdonald (1904) p. 227 § 1792; MacDonald; MacDonald (1896) pp. 102–103; Birch (1895) p. 437 § 16401; Bain (1884) p. 559 § 631; Laing (1850) p. 79 § 450.
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10; Oliver (1860) pp. 38-40; Riley 1853 p. 392. At some point after this, Howden's account reveals that Haraldr overcame and killed Haraldr Eiríksson,Crawford (2004b) pp. 31, 41 n. 59; Crawford or Hall (1971) p. 77; Anderson (1908) pp. 316-317 (§ 1196); Stubbs 1871 p. 11; Oliver (1860) p. 41; Riley 1853 p. 393. and the Icelandic Annals specifically date the latter's fall to 1198.Crawford (2004b) p. 41 n. 59; Crawford or Hall (1971) p. 77; Anderson (1922) p. 350; Storm (1977) p. 121. Hedin Cross, a Manx runestone.
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Locations relating to Godred's life and times. While the familial origins of Godred Crovan aren't completely proven, it appears certain that he was a direct descendant of Amlaíb Cúarán, King of Northumbria and Dublin.Duffy (2004a). Although the thirteenth- to fourteenth-century Chronicle of Mann calls him in Latin "... ",McDonald (2012) p. 164; McDonald (2007b) p. 62; Duffy (2006) p. 60; Hudson, BT (2005) p. 171; Duffy (2004a); Duffy (2002a) p. 55 n. 8; Sellar (2000) p. 190 n. 16; Sellar (1997–1998); McDonald (1997) p. 33; Thornton (1996) p. 95; Duffy (1993a) p.
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With increasing forward-bias voltage, the depletion zone eventually becomes thin enough that the zone's electric field cannot counteract charge carrier motion across the p–n junction, which as a consequence reduces electrical resistance. Electrons that cross the p–n junction into the p-type material (or holes that cross into the n-type material) diffuse into the nearby neutral region. The amount of minority diffusion in the near-neutral zones determines the amount of current that can flow through the diode. Only majority carriers (electrons in n-type material or holes in p-type) can flow through a semiconductor for a macroscopic length.
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The figure shows two of the many possible structures used for p–n semiconductor diodes, both adapted to increase the voltage the devices can withstand in reverse bias. The top structure uses a mesa to avoid a sharp curvature of the p+-region next to the adjoining n-layer. The bottom structure uses a lightly doped p-guard-ring at the edge of the sharp corner of the p+-layer to spread the voltage out over a larger distance and reduce the electric field. (Superscripts like n+ or n− refer to heavier or lighter impurity doping levels.) Mesa diode structure (top) and planar diode structure with guard-ring (bottom).
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One of the first standard results using the class equation is that the center of a non-trivial finite p-group cannot be the trivial subgroup.proof This forms the basis for many inductive methods in p-groups. For instance, the normalizer N of a proper subgroup H of a finite p-group G properly contains H, because for any counterexample with H = N, the center Z is contained in N, and so also in H, but then there is a smaller example H/Z whose normalizer in G/Z is N/Z = H/Z, creating an infinite descent. As a corollary, every finite p-group is nilpotent.
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I–V (current vs. voltage) characteristics of a p–n junction diode A semiconductor diode's behavior in a circuit is given by its current–voltage characteristic, or I–V graph (see graph below). The shape of the curve is determined by the transport of charge carriers through the so- called depletion layer or depletion region that exists at the p–n junction between differing semiconductors. When a p–n junction is first created, conduction-band (mobile) electrons from the N-doped region diffuse into the P-doped region where there is a large population of holes (vacant places for electrons) with which the electrons "recombine".
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If, on the other hand, P(n) had been proven by ordinary induction, the proof would already effectively be one by complete induction: P(0) is proved in the base case, using no assumptions, and is proved in the inductive step, in which one may assume all earlier cases but need only use the case P(n).
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Gulik and Eubel, p. 21, no. 21. He received the red hat and the titular church of San Cesareo in Palatio on 16 May 1530.Gulik and Eubel, p. 20 n. 21. On 5 December 1530, the pope made him Papal Legate to all the domains of the Duke of Savoy,Gulik and Eubel, p. 21 n. 4.
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Aird (2007) pp. 65, 72 n. 52; Oram, RD (1988) p. 77; Anderson (1908) p. 180, 180 n. 4; Howlett (1886) pp. 187–188. Disaster struck the Scots in 1138 at the Battle of the Standard, when David's forces were utterly overcome by the English near Northallerton.Strickland (2012) pp. 100–101; Oram, RD (1988) p. 77.
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The others were his sons Rǫgnvaldr, and Magnús.McDonald (2007b) p. 201; Butler (1988) p. 85. There is a possibility that a thirteenth-century stone coffin- lid or grave-slab found at Rushen may be associated with one of the three kings buried there.McDonald (2007b) p. 201; Butler (1988) pp. 64, 101, 102 n. 15, 104 n.
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The annal-entry itself describes him as a one-time lord of Leinster, which could be evidence that he had tried to seize Leinster at some point in his career.Annals of the Four Masters (2013a) § 1135.5; Annals of the Four Masters (2013b) § 1135.5; Duffy (2006) p. 71; Duffy (1992) p. 117 n. 117; Kelleher (1988) p. 23 n. 4.
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The theater Directors were A. Akhmeteli, M. Koreli, and the writers K. Gamsakhurdia, G. Robakidze, N. Shiukashvili. In 1924, the first 21 graduated from the Institute. Among the graduates were: A. Khorava, V. Godziashvili, S. Takaishvili, T. Tsulukidze, M. Mrevlishvili, P. Kobakhidze, P. Kandelaki, P. Murghulia, G.Kuprashvili, N. Shengelaia, S.Chelidze, and others. In 1927, the Institute ceased to function.
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Foister 1991, p. 615 text + n. 8 + fig. 59 In 1866, when it was in the collection of Samuel Jones-Loyd, 1st Baron Overstone, as a portrait of Martin Luther by Albrecht Dürer, it was recorded in a sketch by George Scharf, director of the National Portrait Gallery.Foister 1991, p. 615 fig. 60, p. 616 text + n.
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Various Irish annals, such as the fifteenth- to sixteenth-century Annals of Connacht, record that a member of Clann Suibhne named Maol Mhuire was married to Bean Mhídhe, daughter of Toirdhealbhach, son of Ruaidhrí Ó Conchobhair, King of Connacht.Duffy (2013) p. 132 n. 39; Nicholls (2007) p. 92, 92 n. 44; Simms (2007) p. 107; Annála Connacht (2011a) § 1269.6; Annála Connacht (2011b) § 1269.6; Duffy (2007) p.
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Lothaire (2011) p.48 A Sturmian word over a binary alphabet is one with complexity function n + 1.Pytheas Fogg (2002) p.6 A sequence is Sturmian if and only if it is balanced and aperiodic.Lothaire (2011) p.46Allouche & Shallit (2003) p.318 An example is the Fibonacci word. More generally, a Sturmian word over an alphabet of size k is one with complexity n+k−1.
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Although this operation is stated to have been curtailed by adverse weather, it is said to have been followed by a resoundingly successful offensive the year after.Oram (2013) ch. 4; Murray, N (2005) pp. 290–291, 290 n. 24; Stringer, KJ (1998) p. 95; McDonald (1997) pp. 83–84; Duncan (1996) p. 528; Dunbar; Duncan (1971) p. 2; Skene (1872) p. 284 ch. 40; Skene (1871) pp.
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145 n. 74; Stell, G (1991) p. 152; Archæological and Historical Collections (1899) p. 64. As the last Gallovidian ruler in the legitimate patrilineal line descended from Fergus,Oram (1992) p. 34; Oram (1988) p. 141.
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P&N; Bank is a member of COBA,COBA the industry body that represents the credit unions, building societies and mutual banks in Australia and BCCM (Bureau of Credit Unions, Co-operatives and Mutuals). P&N; Bank is one of the majors sponsors of the Perth Wildcats.
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Electronic Devices: Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon: diffusion current, drift current, mobility, resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, LASERs.
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Blair & Morris (eds.), Charters, vol. i, p. 98, n. 2. Culmoyr was in the now defunct parish of Clashant, later belonging to the MacDowall kindred of Garthland.Blair & Morris (eds.), Charters, vol. i, p. 99, n. 1. Bishop Wemyss' signature has survived on the letter to Abbot William.
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University of California Press, Berkeley.Cronquist, A.J., A. H. Holmgren, N. H. Holmgren, J. L. Reveal & P. K. Holmgren. 1984. Vascular Plants of the Intermountain West, U.S.A. 4: 1–573. In A.J. Cronquist, A. H. Holmgren, N. H. Holmgren, J. L. Reveal & P. K. Holmgren (eds.) Intermountain Flora.
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6 ¶¶ 35–36; Clarkson (2010) ch. 9 ¶ 29; Hudson (1998) p. 159 n. 57; Hudson (1996) pp. 48 § 160, 48 § 162, 88 § 160, 88 § 162, 88 n. 97; Hudson (1994) pp. 89–90; Anderson, AO (1930) pp. 46 § 158; 46–47 § 160; Anderson, AO (1922) p.
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2, p.348; Witakowski p.293, n.53 His great grandfather was a merchant from Tikrit in Iraq who settled in Egypt.Seleznyov, Nikolai N., "Koptskij istorik" - potomok vyhodtsa iz Tikrita: al-Makin ibn al- ʿAmid i ego “Istorija”, in: Tochki/Punkta 1-2/10 (2011): 45-53.
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This can be represented mathematically as: :P = 100\,\tan d\\! where P is the amount of prism correction in prism dioptres, and d is the angle of deviation of the light. For a prism with apex angle a and refractive index n, :d = (n-1)\,a.
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Anderson, Early Sources, vol. ii, p. 478 n. 8; Oram, "Thomas [Thomas of Galloway]" Isabella was Henry's heiress, and subsequently succeeded to Atholl with Thomas taking the style of "Mormaer" or "Earl" in her name.Anderson, Early Sources, vol. ii, p. 478 n. 8; Paul, Scots Peerage, vol.
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The term "B-spline" was coined by Isaac Jacob Schoenbergde Boor, p. 114 and is short for basis spline.Gary D. Knott (2000), Interpolating cubic splines. Springer. p. 151 A spline function of order n is a piecewise polynomial function of degree n-1 in a variable x .
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Electronic devices: Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon: diffusion current, drift current, mobility, resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-i-n and avalanche photo diode, LASERs.
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Torcall mac Éola may have also been related to a certain twelfth-century Manx bishop, "Hamondus filius Iole", recorded by the Chronicle of Mann.Byrne (2008a) pp. 871–872; Duffy (1993) p. 41 n. 53; Duffy (1992) p. 122 n. 146; Munch; Goss (1874) pp. 114–115.
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Sharp, Red Swarm, p. 98 Two men of the 925th, Lt. A. G. Repson and Jr. Sgt. N. N. Matyashin, were named as Heroes of the Soviet Union for this operation.
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484-485 n. 3, 485 n. 4. Whilst Cináed may well have initially succeeded to the kingship,Broun (2015e); Walker (2013) ch. 4; Broun (2004b); Broun (2004e); Duncan (2002) p. 21.
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Organizational withdrawal. In N. N. Nicholson (Ed.), Blackwell Encyclopedic Dictionary of Organizational Behavior (p. 604). London: Blackwell. Withdrawal behavior may be explained as employee retaliation against inequity in the work setting.
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The P-700 Granit (NATO reporting name SS-N-19 Shipwreck) was partially based on the SS-N-12, but with a significantly modified airframe. The avionics, however, are very similar.
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Bulletin de la société préhistorique française, 1963, vol. 60, n°9-10, p. 642-647 Lasaponara R., N. Masini. 2007. Detection of archaeological crop marks by using satellite QuickBird multispectral imagery.
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According to the thirteenth-century Chronicle of Mann, Óláfr's mother was Fionnghuala Nic Lochlainn, granddaughter of Muirchertach Mac Lochlainn, High King of Ireland.McDonald (2019) p. 60; Flanagan (2010) p. 195; McDonald (2007b) pp. 71–72; Flanagan (1989) p. 103; Anderson (1922) pp. 296–297; Munch; Goss (1874a) pp. 76–77. She was probably a daughter of Muirchertach's son, Niall Mac Lochlainn, King of Cineál Eoghain.McDonald (2019) p. 60; Flanagan (2010) p. 195; Martin (2008) p. 135; McDonald (2007a) p. 52; McDonald (2007b) p. 71; Pollock (2005) p. 16 n. 76; Flanagan (1989) p. 103; Anderson (1922) p. 297 n. 1.
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Much of terrestrial growth in temperate systems is limited by N; therefore, N inputs (i.e., through deposition and fertilization) can increase N availability, which temporarily increases N uptake, plant and microbial growth, and N accumulation in plant biomass and soil organic matter.Aber, J. D., K. J. Nadelhoffer, P. Steudler, and J. M. Melillo. 1989. "Nitrogen saturation in northern forest ecosystems".
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Prof. Smart is best known for his work in elliptic curve cryptography, especially work on the ECDLP.S. D. Galbraith and N. P. Smart, A cryptographic application of the Weil descent, Cryptography and Coding, 1999.P. Gaudry, F. Hess, and N. P. Smart, Constructive and destructive facets of Weil descent on elliptic curves, Hewlett Packard Laboratories Technical Report, 2000.N. Smart, The discrete logarithm problem on elliptic curves of trace one, Journal of Cryptology, Volume 12, 1999.
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Let polytree P be a star K_{1,n-1}, in which all edges are oriented outward from the central vertex to the leaves. Then, P cannot be embedded in the tournament formed from the vertices of a regular 2n-3-gon by directing every edge clockwise around the polygon. For, in this tournament, every vertex has indegree and outdegree equal to n-2, while the central vertex in P has larger outdegree n-1.This example is from .
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In his book on van der Laan, Padovan described the Padovan sequence of numbers :1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, ... defined by a recurrence relation :P(n)=P(n-2)+P(n-3) and having properties similar to the Fibonacci numbers. These numbers were named after Padovan by Ian Stewart, despite Padovan's attribution of the sequence to van der Laan.
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99; Smyth (2002) pp. 187, 226 n. 162; Nelson (2001) p. 39; Swanton, M (1998) pp. 76–77 § 878; Whitelock (1996) p. 200 § 878, 200 nn. 17–18; Brooks (1979) p. 4; Conybeare (1914) p. 143 § 878; Giles (1914) p.
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It could derive from elements meaning "sea steward" or "great steward".Taylor, A (2018) p. 43; Downham (2017) p. 96; Broun (2015) pp. 15–16, 16 n. 52; Woolf (2007) p. 342.
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2007: "International Residency". Article. (a-n) Magazine, p. 21\. February. 2002: Galeria Nela Alberca Publicity, Lapiz Revista Internacional de Arte, no 179/180, p. 193\. 2002: 'Lines of Connection', review, InmAdrid, p.
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Examples include the p-completion of a compact and connected Lie group, and the Sullivan spheres, i.e. the p-completion of a sphere of dimension :2n − 1, if n divides p − 1\.
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McDonald, RA (2007b) p. 163. Óláfr's dealings with Furness Abbey—a religious house founded by the Lord of Lancaster, Stephen of BloisTinmouth (2018) p. 47; Oram, RD (2000) p. 84 n. 98.
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Wiig 2009, p. 55. Consequently, the three surviving N-3PBs were stored until shipped to Iceland in March 1942 on the steamer .Hafsten and Arheim 2003, p. 166.Guhnfeldt 1981, p. 12.
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Meurisse, pp. 598–600. Gulik and Eubel, p. 242 and n. 2. Eubel, Hierarchia catholica medii aevi II edition altera (Monasterii 1914), p. 242 with notes 2 and 3; and p. 279.
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489, 494, 494 n. 2; Murphy (1896) p. 160. Although it is not impossible that the ' (perhaps merely meaning "pirates") refer to Sigurðr's forces,Downham (2007) p. 195; Ó Corráin (2006) p.
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N-acetylmuramic acid 6-phosphate etherase (, MurNAc-6-P etherase, MurQ) is an enzyme with systematic name (R)-lactate hydro-lyase (adding N-acetyl-D- glucosamine 6-phosphate; N-acetylmuramate 6-phosphate-forming). This enzyme catalyses the following chemical reaction : (R)-lactate + N-acetyl-D- glucosamine 6-phosphate \rightleftharpoons N-acetylmuramate 6-phosphate + H2O This enzyme is required for the utilization of anhydro-N-acetylmuramic acid in some proteobacteria.
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The brute-force algorithm to solve this problem is to identify all possible subsets of the items without exceeding the capacity and select the one with the optimal value. The pseudo-code is provided as follows: // Input: // Profits (stored in array p) // Quadratic profits (stored in matrix P) // Weights (stored in array w) // Number of items (n) // Knapsack capacity (W) int max = 0 for all subset S do int value, weight = 0 for i from 0 to S.size-1 do: value = value + p[i] weight = weight + w[i] for j from i+1 to S.size-1 do: value = value + P[i][j] if weight <= W then: if value > max then: max = value Given n items, there will be at most 2^n subsets and for each legal candidate set, the running time of computing the values earned is O(n^2). Thus, the efficiency class of brute-force algorithm is (2^n n^2 )=\lambda(2^n), being exponential.
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Walker: Final Years, p. 508, p. 515 with n. 18. He was buried on 3 August 1886, in the municipal cemetery of Bayreuth against his wishes.
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129; Duffy (1993) pp. 151, 154, 206; Barrow (1990) p. 129; Munro; Munro (1986) p. 281; Reid, N (1982) pp. 76–78; Reid, NH (1984) pp.
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155 n. 74. Later examples include Callimachus, Hymn 4 (to Delos) 173 ff. (pp. 98-99) (see Vian and Moore 1988 p. 193; Mineur, p. 170).
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As Fearchar died in 1274, it suggests this source has confused Aonghus Óg and Aonghus Mór.Cathcart (2006) p. 14, 14 n. 32; Clark (1900) p. 164.
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R. Alur , A. Itai , R. P. Kurshan , M. Yannakakis, Timing verification by successive approximation, Information and Computation, v.118 n.1, p.142-157, April 1995.
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The exportation of these people to Ireland is also attested by Annales Xantenses, a ninth-century German source.Sheehan (2008) p. 294 n. 64; Holm (1986) p.
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64 § 878; Stevenson, J (1853) p. 46 § 878, 46 n. 10. and most versions number the Viking casualties at eight hundred and forty dead.Lewis (2016) p.
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