Independently of the range of the interaction, at low enough temperature the magnetization is positive. Conjecturally, in each of the low temperature extremal states the truncated correlations decay algebraically.
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In contrast, for the congruent number problem, a finite testing procedure is known only conjecturally, via Tunnell's theorem, under the assumption that the Birch and Swinnerton-Dyer conjecture is true.
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Of the form 2 + 1\. 3, 5, 17, 257, 65537 () these are the only known Fermat primes, and conjecturally the only Fermat primes. The probability of the existence of another Fermat prime is less than one in a billion.
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In addition, as the theme was a major base for Byzantine operations across the Adriatic into southern Italy, and hosted a contingent of Mardaites marines, probably under their own katepano. Warren Treadgold conjecturally estimates its military strength at some 1,000 infantry and marines in the 9th–10th centuries..
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In: Festschrift Heinrich Besseler zum 60. Geburtstag. Leipzig: Deutscher Verlag für Musik, 1961. 163–178. It has been dated conjecturally to either around 1358, which, within that school of composition, would make its compositional technique exceptionally innovative for its own time, or some time later during the 1370s.
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Htin Aung 1970: 43Than Tun 1964: 131–132Aung-Thwin and Aung-Thwin 2012: 99 One contemporary stone inscription identifies him as the crown prince, and another identifies him as the king. Neither inscription provides any regnal dates but they were conjecturally dated c. 1230 or c. 1231 by Luce.
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The Danson name is first found in Lancashire, North West England. Conjecturally descended from an Anglo-Norman noble, Ive or Ive Taillebois, who held large portions of Northern Lancashire and that part of West Morland that came under the Barony of Kendall. Other spellings include: Danison, Danisone, Dansone and others.
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Many neurons in the rat and mouse hippocampus respond as place cells: that is, they fire bursts of action potentials when the animal passes through a specific part of its environment. Hippocampal place cells interact extensively with head direction cells, whose activity acts as an inertial compass, and conjecturally with grid cells in the neighboring entorhinal cortex.
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Brian Newbould (born 26 February 1936) is a composer, conductor and author who has conjecturally completed Franz Schubert's Symphonies D 708A in D major, No. 7 in E major, No. 8 in B minor ("Unfinished") and No. 10 ("Last") in D major. He was educated at Gravesend Grammar School, and earned a BMus degree with top honors from the University of Bristol.
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52–137, "Frequently Asked Question" number 29 and endnotes 54 and 55. Blair offers the two hypothetical scenarios, rather than a documentary paper trail, as a theory of how something conjecturally written by Chamanzaminli would have been published in an altered form as Ali and Nino in 1937. Lacking any evidence of a material connection, Blair offers instead an accumulation of parallels.
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Little is known of Beeston's early life. In extant records he is known alternately as Beeston and Hutchison. He has not so far been decisively connected with the William Beeston mentioned by Thomas Nashe in Strange News; however, such a connection is possible. Beeston has been conjecturally associated with the "Kit" in the surviving plot of Richard Tarlton's The Seven Deadly Sins.
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The representation of therefore holds the repetends of , where each repetend is optionally rotated and then replicated up to a finite number of bits. It is only in binary that this occurs. Conjecturally, every binary string that ends with a '1' can be reached by a representation of this form (where we may add or delete leading '0's to ).
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It can be seen by driving into a parking lot at a children's playground. Near the carving lie many remains of a primitive city, and about a kilometer east is the rock-seat conjecturally identified with Pausanias's Throne of Pelops. There are also hot springs and a sacred grotto of Apollo. Parts of the major fortifications built during the Empire of Nicea remain evident.
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On Sunday 21 June 1840 he went to Maitland arriving in the afternoon. On Monday 22 JUne he visited Dunmore where he remained all day. He again visited Dunmore on Thursday 25 June, staying until Friday 26 June. Conjecturally one would conclude that he met Isabella Ninian Lang on this occasion, leading ultimately to their subsequent marriage in Scots Church, Sydney on 8 July 1845.
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The Wyvill arms on the title-page point almost conclusively to (Sir) Christopher's authorship, which is conjecturally adopted in the British Museum Catalogue. Wyvill inherited the baronetcy on the death of his father in 1648. In 1659, Wyvill was elected Member of Parliament for Richmond in the Third Protectorate Parliament.History of Parliament Online - Wyvill, Sir Christopher, 3rd Bt. In 1660, Wyvill was elected MP for Richmond in the Convention Parliament.
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With the buildings and collection secured, the structures were conjecturally returned to their 18th-century appearance by noted restoration architect, Thomas Tileston Waterman. The museum was officially re-opened in 1939, free of charge thanks to the financial support of the American Pharmaceutical Association. After an extensive renovation adding a fire suppression system, and re-stabilizing the structure, the Landmarks Society donated the museum and its important contents to the City of Alexandria in November 2006.
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The quarto's title page states that the play was acted by the King's Men at the Blackfriars Theatre. The date of that first production is uncertain; but Brome is known to have written for the King's Men in the earliest phase of his career, in the late 1620s and early 1630s. The play is often conjecturally dated to 1629–31.Ira Clark, Professional Playwrights: Massinger, Ford, Shirley & Brome, Lexington, KY, University of Kentucky Press, 1992; p. 156.
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Mr. W. C. Hazlitt also conjecturally assigns to Gainsford The Rich Cabinet furnished with varietie of excellent discriptions, exquisite characters, witty discourses and delightfull histories, deuine and morrall, London, for Roger Iackson, 1616. An appendix—"an epitome of good manners extracted out of the treatise of M. Iohn della Casa called Galatea"—is signed T. G., together with a Latin motto. This signature resembles those in Gainsford's undoubted books, but the question of authorship is very doubtful. Some hostile remarks on players, ff.
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Weil conjectured that such zeta-functions for smooth varieties should be rational functions, should satisfy a form of functional equation, and should have their zeroes in restricted places. The last two parts were quite consciously modeled on the Riemann zeta function, a kind of generating function for prime integers, which obeys a functional equation and (conjecturally) has its zeroes restricted by the Riemann hypothesis. The rationality was proved by , the functional equation by , and the analogue of the Riemann hypothesis by .
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Standard L-functions are thought to be the most general type of L-function. Conjecturally, they include all examples of L-functions, and in particular are expected to coincide with the Selberg class. Furthermore, all L-functions over arbitrary number fields are widely thought to be instances of standard L-functions for the general linear group GL(n) over the rational numbers Q. This makes them a useful testing ground for statements about L-functions, since it sometimes affords structure from the theory of automorphic forms.
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A genetic introduction to number theory. Graduate Texts in Mathematics vol. 50, Springer-Verlag, NY, 1977, p. 79 See the history of ideal numbers.) Using the general approach outlined by Lamé, Kummer proved both cases of Fermat's Last Theorem for all regular prime numbers. However, he could not prove the theorem for the exceptional primes (irregular primes) that conjecturally occur approximately 39% of the time; the only irregular primes below 270 are 37, 59, 67, 101, 103, 131, 149, 157, 233, 257 and 263.
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Delayed growth and development was noted in some patients, although not fully explained, this may be generally associated with the physiological difficulties implicit in errors of energy metabolism. In particular neurological impairment was conjecturally linked with the predominant role of aldolase A in the brain during development. However, this was not substantiated with direct enzymatic kinetic study. Elevated liver glycogen in one patent was rationalised through an accumulation of fructose-1,6-bisphosphate leading to impaired glucose metabolism and increased diversion of hexose sugars from peripheral tissues.
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The basic result, the Mordell–Weil theorem in Diophantine geometry, says that A(K), the group of points on A over K, is a finitely-generated abelian group. A great deal of information about its possible torsion subgroups is known, at least when A is an elliptic curve. The question of the rank is thought to be bound up with L-functions (see below). The torsor theory here leads to the Selmer group and Tate–Shafarevich group, the latter (conjecturally finite) being difficult to study.
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It is likely the earliest extant text regarding the history of the Mon people in Lower Burma,Aung-Thwin 2005: 133–135 probably the only surviving portion of the original Mon language chronicle, which was destroyed in 1565 when a rebellion burned down Pegu (Bago).Harvey 1925: xviii Four oldest palm-leaf manuscript copies, conjecturally dated to the mid 18th century, of the original Binnya Dala translation have survived. In all, nine slightly different versions of the chronicle existed according to a 1968 analysis by Nai Pan Hla.
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Other kinds of perduellio were punished by "interdiction of fire and water" (aquae et ignis interdictio), in other words, banishment. The crime was tried before a special tribunal (quaestio) by two officials (duumviri perduellionis), which was perhaps the earliest permanent criminal court existing at Rome. At a later period, the name of perduellio gave place to that of laesa maiestas, deminuta or minuta maiestas, or simply maiestas. The lex Iulia maiestatis, to which the date of 48 B.C. has been conjecturally assigned, continued to be the basis of the Roman law of treason until the latest period of the empire.
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Quark is a lightweight hash function, based on a single security level and on the sponge construction, to minimize memory requirements. Inspired by the lightweight ciphers Grain and KATAN, the hash function family Quark is composed of the three instances u-Quark, d-Quark, and t-Quark. Hardware benchmarks show that Quark compares well to previous lightweight hashes. For example, the u-Quark conjecturally instance provides at least 64-bit security against all attacks (collisions, multicollisions, distinguishers, etc.), fits in 1379 gate-equivalents, and consumes in average 2.44 µW at 100 kHz in 0.18 µm ASIC.
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It was later proven by Sydler that this is the only obstacle to dissection: every two Euclidean polyhedra with the same volumes and Dehn invariants can be cut up and reassembled into each other. The Dehn invariant is not a number, but a vector in an infinite-dimensional vector space. Another of Hilbert's problems, Hilbert's 18th problem, concerns (among other things) polyhedra that tile space. Every such polyhedron must have Dehn invariant zero.. The Dehn invariant has also conjecturally been connected to flexible polyhedra by the strong bellows conjecture, which asserts that the Dehn invariant of any flexible polyhedron must remain invariant as it flexes..
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Several kinds of Floer homology are special cases of Lagrangian Floer homology. The symplectic Floer homology of a symplectomorphism of M can be thought of as a case of Lagrangian Floer homology in which the ambient manifold is M crossed with M and the Lagrangian submanifolds are the diagonal and the graph of the symplectomorphism. The construction of Heegaard Floer homology is based on a variant of Lagrangian Floer homology for totally real submanifolds defined using a Heegaard splitting of a three-manifold. Seidel- Smith and Manolescu constructed a link invariant as a certain case of Lagrangian Floer homology, which conjecturally agrees with Khovanov homology, a combinatorially-defined link invariant.
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The well-preserved paving of the remaining roadway is made of large, occasionally squared stones, and rests on the roof slabs of the hollow chambers. Since the Gönen Çayı at the site passes close to the west slope of the valley, the western abutment is comparatively short. Its two arch vaults, only one of which has a semi-circular shape, were built of brick, with the outer voussoirs alternating between groups of stone and brick, as it is also typical of the Makestos Bridge. The 58 m long eastern ramp rests on five arches of diminishing size (the overgrown arch 9 has only been conjecturally reconstructed by Hasluck).
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An inscription discovered at Jhalrapatan mentions Maharaja Yashovarman. The last digit of the year in which the inscription was issued is not clear, but it has been conjecturally dated to 1199 VS, that is, 1142 CE. If this date is correct, and if the ruler mentioned in the inscription is same as the Paramara king (an assertion doubted by some historians), it appears that he ruled until the early 1140s, possibly as a Chaulukya vassal. The find spot of the inscription suggests that he ruled a small principality in the lower Kali Sindhu valley. Yashovarman was succeeded by Jayavarman I, who managed to regain control of Dhara, or at least a part of the former Paramara territory.
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His writings apparently consist of Homiliæ in quatuor Evangelia, Commentarii in Epistolas Paulinas, Illustrationes in Petrum Langobardum, and other works of a similar kind. Two manuscripts of this author are still preserved in the library of Lincoln College, Oxford-—the one written in an early fifteenth-century hand; the other the gift of Robert Fleming, a near kinsman of Richard Fleming, the founder of this college (1427). We thus get a date later than which our author cannot have flourished; and Leland, Bale, and Pits conjecturally assign him to the reign of Edward II (1320). Other manuscripts of Acton's works are said by Tanner to be in the Bodleian Library and that of Peterhouse, Cambridge.
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The pianist Frank Merrick won the "English Zone" of the competition; his scherzo and finale were later performed and recorded (on Columbia), but are long out of print. Only some of the completions—Merrick's is not one of them—used material from Schubert's scherzo sketch. The first movement of Joseph Holbrooke's Fourth Symphony, one of the British entries, is mostly a performing version of the sketch (the second strain of the trio of which, entirely missing from the sketch, had to be conjecturally completed), and a theme from the scherzo appears in his finale. Independent completions of the scherzo movement also were made by Geoffrey Bush in 1944 and conductor Denis Vaughan c. 1960.
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John McClintock and James Strong (1883) Cyclopaedia of Biblical, theological, and ecclesiastical literature, Volume 8, Red Sea, p. 966. The Nile delta at the time of Herodotus, according to James Rennell (1800). More conjecturally, it has also been suggested that suph may be related to the Hebrew suphah ("storm") or soph ("end"), referring to the events of the Reed/Red Sea escape itself: > The crossing of the sea signaled the end of the sojourn in Egypt and it > certainly was the end of the Egyptian army that pursued the fleeing Hebrews > (Ex 14:23-29; 15:4-5). After this event at Yam Suph, perhaps the verb Soph, > meaning "destroy" and "come to an end," originated (cf.
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231x231px The Old Mon language might have been written in at least two scripts. The Old Mon script of Dvaravati (present-day central Thailand), derived from Grantha (Pallava), has conjecturally been dated to the 6th to 8th centuries AD.Bauer 1991: 35(Aung- Thwin 2005: 161–162): Of the 25 Mon inscriptions recovered in present-day Thailand, only one of them is securely dated—to 1504. The rest have been dated based on what historians believed the kingdom of Dvaravati existed, to around the 7th century per Chinese references to a kingdom, which historians take to be Dvaravati, in the region. According to Aung-Thwin, the existence of Dvaravati does not automatically mean the script also existed in the same period.
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A 1772 painting by Jacques-Louis David depicting Niobe attempting to shield her children from Artemis and Apollo In Greek mythology, Niobe (; ) was a daughter of Tantalus and of either Dione, the most frequently cited, or of Eurythemista or Euryanassa, the wife of Amphion and the sister of Pelops and Broteas. Her father was the ruler of a city located near Manisa in today's Aegean Turkey that was called "Tantalis" or "the city of Tantalus", or "Sipylus". The city was located at the foot of Mount Sipylus and its ruins were reported to be still visible in the beginning of the 1st century AD, although few traces remain today.There is a "Throne" conjecturally associated with Pelops in the Yarıkkaya locality in Mount Sipylus.
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In my early days of study, the gloss of Isfahani more than > half of which had been eaten by white ants, came under my observation. The > public being in despair at profiting by it, I removed the parts that had > been eaten and joined blank paper to the rest. In the serene hours of > morning, with a little reflection, I discovered the beginnings and endings > of each fragment and conjecturally penned a draft text which I transcribed > on the paper. In the meanwhile the entire work was discovered, and when both > were compared, in two or three places only were there found differences of > words, though synonymous in meaning; and in three or four others, > (differing) citations but approximate in sense.
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He must have lived at the close of the thirteenth and at the beginning of the fourteenth century, and his poem is conjecturally assigned to about the year 1300. It is mostly written in eight-syllable couplets, except in the account of the Passion of Christ, where the author adopts a new meter of alternately rhyming lines of eight and six syllables. The poet considers the Bible to be one of many sources of the history of the church. He focuses on characters: Jesus and Mary are the central figures. According to the preface of The Early English Text Society the Cursor Mundi is a collection of poignant and vivid versions of stories arranged “in an orderly, encyclopedic yet fundamentally digressive manner”.
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In the field of mathematics known as representation theory, an L-packet is a collection of (isomorphism classes of) irreducible representations of a reductive group over a local field, that are L-indistinguishable, meaning they have the same Langlands parameter, and so have the same L-function and ε-factors. L-packets were introduced by Robert Langlands in , . The classification of irreducible representations splits into two parts: first classify the L-packets, then classify the representations in each L-packet. The local Langlands conjectures state (roughly) that the L-packets of a reductive group G over a local field F are conjecturally parameterized by certain homomorphisms of the Langlands group of F to the L-group of G, and Arthur has given a conjectural description of the representations in a given L-packet.
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Recent research conjecturally assigns to Walsingham the following six chronicles: # Chronica Majora, now lost, written before 1388. # The Chronicon Angliæ from 1328 to 1388, edited by Mr. (later Sir) E. M. Thompson in the Rolls Series in 1874. This was previously known to have been compiled by a monk of St. Albans, but had escaped attention by being erroneously catalogued as Walsingham's ‘Ypodigma Neustriæ.’ The ‘Chronicon’ ranges from 1328 to 1388. The actions and motives of John of Gaunt are bitterly assailed in the ‘Chronicon,’ and it is evident that on the accession of Henry IV the ‘scandalous chronicle,’ as its editor calls the ‘Chronicon,’ was suppressed by the monks of St. Albans, fearful of the consequences of publishing these attacks upon the king's father, and its place was taken by the ‘Chronicle of St. Albans,’ No. 4 infra.
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In the last years of the 18th century, Vasari's account of Finiguerra's invention was held to have received a decisive and startling confirmation under the following circumstances. There was in the Baptistery at Florence (now in the Bargello) a beautiful 15th-century niello pax of the Coronation of the Virgin. The Abate Gori, a connoisseur of the mid-century, had claimed this conjecturally for the work of Finiguerra; a later and still more enthusiastic virtuoso, the Abate Zani, discovered first, in the collection of Count Seratti at Ligorno, a sulfur cast from the very same niello (cast now in the British Museum), and then, in the Bibliothèque nationale de France, Paris, a paper impression corresponding to both. Here, then, he proclaimed, was the actual material first fruit of Finiguerra's invention and proof positive of Vasari's accuracy.
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Much side light is thrown on the Gallican Rite by the Celtic books, especially by the Stowe Missal and Bobbio Missal. The latter has been called Gallican and attributed to the Province of Besançon, but it is now held to be Irish in a much Romanized form, though of Continental provenance, being quite probably from the originally Irish Bobbio Abbey, where Mabillon found it. A comparison with the Ambrosian Liturgy and Rite may also be of service, while most lacunae in our knowledge of the Gallican Rite may reasonably be conjecturally filled up from the Mozarabic books, which even in their present form are those of substantially the same rite. There are also liturgical allusions in certain 5th and 6th century writers: Hilary of Poitiers, Sulpicius Severus, Caesarius of Arles, and especially Gregory of Tours, and some information may be gathered from the decrees of the Gallican councils mentioned above.
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Middle to fore ground: pyramid Nuri 22, conjecturally attributed to Amanimalel. Amanimalel is attested by a high lifesize statue of the queen, which was uncovered in April 1916 by George Andrew Reisner in a cache at the Gebel Barkal temple B 500 during a joint Harvard University–Boston Museum of Fine Arts expedition. The statue, one of the great masterpieces of African art, shows the queen in a traditionally Egyptian striding pose, wearing a Nubian variation of an Egyptian dress that could have been sheathed in silver while the feet may have been adorned with golden sandals. The back pilar of the statue states that she is "beloved of Amun of Napata who resides in the sacred mountain", showing that the queen participated in the cult of Amun at Napata in a role that might have been related with that of God's Wife of Amun of the preceding Twenty-Fifth Dynasty.
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The mention of these names is the most definite piece of evidence of the existence of an organised Christian church in the Roman province of Britain, and of its close dependence on the church of Gaul. It is worth noting that among the canons they subscribed was one fixing a single day for the celebration of Easter throughout the world. So that the different custom of the British church on that question had not yet arisen. The above facts are in Labbe's ‘Concilia’ from a Corvey MS., and Isidorus Mercator's list substantially agrees in including ‘Eburius,’ though it describes him only as ‘ex provincia Britanniæ’. The passage is wrongly punctuated in Migne's edition; but in Crabbe the reading is ‘ex provincia Bizacena, civitate Tubernicensi, Eburius episcopus.’ Tillemont conjecturally identifies Eborius with the Hibernius who joins in a synodal letter to Pope Sylvester I, but this seems quite arbitrary.
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Atlanersa (also Atlanarsa) was a Kushite ruler of the Napatan kingdom of Nubia, reigning for about a decade in the mid-7th century BC. He was the successor of Tantamani, the last ruler of the 25th Dynasty of Egypt, and possibly a son of Taharqa or less likely of Tantamani, while his mother was a queen whose name is only partially preserved. Atlanersa's reign immediately followed the collapse of Nubian control over Egypt, which witnessed the Assyrian conquest of Egypt and then the beginning of the Late Period under Psamtik I. The same period also saw the progressive cultural integration of Egyptian beliefs by the Kushite civilization. Atlanersa may have fathered his successor Senkamanisken with his consort Malotaral, although Senkamanisken could also be his brother. He built a pyramid in the necropolis of Nuri, now conjecturally believed to be Nuri 20 and may also have started a funerary chapel in the same necropolis, now called Nuri 500\.
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The Marneion, a temple sacred to Zeus Marnas, who was the local Hellenistic incarnation of Dagon, the patron of agriculture, a god who had been worshipped in the Levant since the third millennium BCE, was set afire with pitch, sulfur and fat; it continued to burn for many days; stones of the Marneion were triumphantly reused for paving the streets. This temple had been rebuilt under the direction of Hadrian (ruled 117-138), who visited Gaza; it was first represented on the Gaza coins of Hadrian himself. To one of Hadrian's visits, also, we may conjecturally assign the foundation of the great temple of the god Marnas, which the Vita describes with a mixture of pride and abhorrence. it was believed that the 'Olympian' Emperor who founded the great temple of Zeus on the sacred mountain Gerizim of the Samaritans would not be slow to recognize the claims of the Cretan Zeus of the Gazaeans.
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