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196 Sentences With "as a corollary"

How to use as a corollary in a sentence? Find typical usage patterns (collocations)/phrases/context for "as a corollary" and check conjugation/comparative form for "as a corollary". Mastering all the usages of "as a corollary" from sentence examples published by news publications.

Young Professional Assholes, as a corollary to the film's commentary on corporate greed.
And as a corollary, there was the nasty fact that the film wasn't sexy.
As a corollary, how much do we trust the winners not to slaughter the losers?
Quinlan mentioned the tobacco industry as a corollary to their efforts in protecting underage kids.
As a corollary to that, asking if a menu item is "good" is also baffling.
As a corollary, an obvious note that too many ignore: Listen more than you talk.
Mr Bezos claims, as a corollary to thinking only of customers, never to think of rivals.
As a corollary, border adjustments also do not distort the pattern of domestic sales and purchases.
As a corollary, 220006 percent said Trump's immigration policies would make them less likely to vote Republican.
As a corollary, one generally must try very hard to guarantee earning less than the risk-free rate.
As a corollary to its religious liberty, Pennsylvania soon became a successful political experiment in religious pluralism and toleration.
As a corollary to the artist-subject-viewer trifecta, Sepuya includes the camera's gaze as a fourth interested party.
As a corollary issue to the breach, it is one thing to wake up and realize that your Yahoo account was compromised.
I don't know how this all works out, but I would, just as a corollary, point my finger at the real estate market.
As a corollary, you can usually count on the murdered (that is, the grievously harmed) for sentences that are laconic and cool to the touch.
This would mean, as a corollary, that consumers would gain significant control over where and how they interacted with any given business or publication on the web.
As a corollary, think of the Republican Party as a congregation of unruly Dissenters who when given the right opportunity will still stick it to the man.
As a corollary, the failure of government efforts to affect or slow down negative developments has left an opening for conservatives to argue that government interventions make things worse.
As a corollary, my brother and I are planning a summer campaign of Horus Heresy (Forgeworld's sister game, set in the ur-event of 40K's history, the titular Horus Heresy).
"As a corollary, re-monetization impact will also be more subdued given a firmer-than-expected base from the fourth quarter as well as lingering de-monetization in early first quarter," Mizuho said.
"But as a corollary, we have one of the most unreliable revenue systems in the country," he said, referring to the state's greater reliance on capital gains taxes and less on property tax revenue.
Surprises can delight As a corollary to the ELIZA effect, when we give a computer an input that we believe it cannot comprehend, we find responses that handle our input with panache both surprising and delightful.
As virtual reality takes its trip through the hype cycle of technology adoption, I keep returning to the early days of film as a corollary for the medium's progress and a good benchmark for its evolution.
Think of this assumption as a corollary of the fact that too many blockbuster movies nowadays run well over two hours, when they'd probably be better served at around an hour and 45 minutes or so.
"Any further discovery should focus on whether she used a private server to evade [the Freedom of Information Act] and, as a corollary to that, what she understood about State's records management obligations," Lamberth wrote in his order.
Around eight patients can pass through daily and, by weaving together threads of disparate data, Venter hopes to make headway in understanding the fundamentals of ageing and, as a corollary, why many key diseases, including cancer, heart disease and Alzheimer's, are strongly associated with old age.
As a corollary, the actor here must be another state, since similar actions by an individual would likely be called cyber terrorism in the same way that a non-state actor who attacks a nation's physical assets is termed a terrorist, regardless of the weapon used.
As a corollary, politicians found fertile ground with the cowboy motif while everyone insisted it was a dead letter; Ronald Reagan, son of suburban Illinois, wearing a cowboy hat and affecting a slight drawl wasn't an accident, not any more than George W. Bush's pretending to be a just-folks ranch hand was.
As a corollary, this means that individuals of the species do not maintain specific foraging territories.
Several proofs of Fermat's little theorem are known. It is frequently proved as a corollary of Euler's theorem.
See the references for a proof for generalized Go, as a corollary of the proof of the completeness of GG.
Mozi regarded the golden rule as a corollary to the cardinal virtue of impartiality, and encouraged egalitarianism and selflessness in relationships.
As a corollary, the nearby and slightly larger tomb S9 most likely belongs to Sobekhotep IV's predecessor and brother, Neferhotep I.
This statement follows as a corollary of the version for general subgroups if we let Xi= Xi+∪Xi− and let Hi = ⟨ai⟩.
At the end of this section, a short alternate proof of the Kelvin-Stokes theorem is given, as a corollary of the generalized Stokes' Theorem.
As a corollary to this practice, freedivers will use as thin a wetsuit as comfortably possible, to minimise buoyancy changes with depth due to suit compression.
In such an allocation, no subsets of agents are self-sufficient. Hence, as a corollary of Gale's theorem: ::In a linear economy, a CEEI always exists.
As a corollary from this he started to organise Christmas Parties, initially for the many children of the drama group and later on for the needy children of the islands.
Previously, in 1801, C. F. Gauss had obtained a more general result,C. F. Gauss, Disquisitiones Arithmeticae, Art. 291 et 292. containing Legendre's theorem of 1797–8 as a corollary.
The first published proof to the existence of super- proportional division was as a corollary to the Dubins–Spanier convexity theorem. This was a purely existential proof based on convexity arguments.
Fly peacetime missions as a corollary of, training. Be prepared to be the initial and primary source of augmentation of the active forces in an emergency requiring expansion of the active forces.
The line from Leeds City station to Neville Hill depot was electrified in the early 1990s as a corollary to the East Coast Main Line electrification project. The electrification was energised in March 1993.
Then the fiber f^{-1}(y) has at most n connected components. In particular, if f is birational, then the fibers of unibranch points are connected. In EGA, the theorem is obtained as a corollary of Zariski's main theorem.
The Schreier conjecture asserts that is always a solvable group when is a finite simple group. This result is now known to be true as a corollary of the classification of finite simple groups, although no simpler proof is known.
Beal is self-taught in number theory in mathematics. In 1993, he publicly stated a new mathematical hypothesis that implies Fermat's Last Theorem as a corollary. His hypothesis has become known as the Beal Conjecture. No counterexample has been found to the conjecture.
Mathews, Richard. Fantasy: The Liberation of Imagination. (New York: Routledge, 2002), page 135. Specifically, within the Earthsea realm, knowing another man or dragon's true name gives one power over them; as a corollary, sharing one's true name with another is an act showing complete trust.
In SN 45.159, the Buddha describes "higher knowledge" (abhiññā) as a corollary to the pursuit of the Noble Eightfold Path:Walshe (1985, 2007), passage 56, SN 45.159. Such direct knowledge, according to the Buddha, is obscured by desire and passion (chanda-rāga):SN 27.1 (Thanissaro, 1994).
Another strengthening of Mantel's theorem states that the edges of every -vertex graph may be covered by at most \lfloor n^2/4 \rfloor cliques which are either edges or triangles. As a corollary, the intersection number is at most \lfloor n^2/4 \rfloor .
Much of Uzi's musical influences correspond with his national identity as a corollary of the fact that "Japanese have long perceived themselves, and been perceived by others as one homogeneous group, racially, ethnically, and culturally identical".Wood, Joe. "The Yellow Negro." Transition 73: 40-67.
By the Schreier conjecture, now generally accepted as a corollary of the classification of finite simple groups, the outer automorphism group of a finite simple group is a solvable group. Thus a finite almost simple group is an extension of a solvable group by a simple group.
As a corollary, in the same article, Immerman proved that, using descriptive complexity's equality between NL and FO(Transitive Closure), the logarithmic hierarchy, i.e. the languages decided by an alternating Turing machine in logarithmic space with a bounded number of alternation, is the same class as NL.
Rand described the theme of the novel as "the role of the mind in man's existence—and, as a corollary, the demonstration of a new moral philosophy: the morality of rational self-interest".Salmieri, Gregory. "Atlas Shrugged on the Role of the Mind in Man's Existence". In .
274, 283 As a corollary of its dependence on the PCdR, the party was heavily infiltrated by communist cells—the PCdR's own circulars commended the Putna cell as highly "dynamic".Miron, p. 194 In Bihor, the UP was directly managed by a communist envoy, Imre Tóth.Crăciun, p.
The squadron was reactivated in the reserve by Continental Air Command in January 1950 as a corollary unit of the 4th Fighter Wing. It was called to active duty in early 1951 for the Korean War and its personnel were used to fill up other units.
In Kramer’s work, the canvas is layered with thick surfaces of paint which are interspersed with animated drawing. Vivian Rayner of the New York Times called it "muscular but not macho". Kramer’s extensive practice in drawing serves as a corollary to his paintings.Gallery of drawings on Harry Kramer's official website.
Hofstadter provides evidence from numerous sources of the general nativism possessed by Progressives. As a corollary of the growing urban scene, aggressive newspaper reporters, named muckrakers, emerged. The Progressive journalists multiplied as new styles of magazines appeared. The last chapter focused on enemies of Progressives like trusts, unions, and political machines.
As a corollary, production may become less and less a creative activity to satisfy human needs, but simply a means to make money or acquire access to goods and services. Richard Sennett provides a eulogy for the vanishing art of craftsmanship in capitalist society.See: Richard Sennett, The Craftsman. Yale University Press, 2009.
In algebraic number theory, the Gras conjecture relates the p-parts of the Galois eigenspaces of an ideal class group to the group of global units modulo cyclotomic units. It was proved by as a corollary of their work on the main conjecture of Iwasawa theory. later gave a simpler proof using Euler systems.
In particular, B is unlikely to be termed a corollary if its mathematical consequences are as significant as those of A. A corollary might have a proof that explains its derivation, even though such a derivation might be considered rather self-evident in some occasions (e.g., the Pythagorean theorem as a corollary of law of cosines).
The open approach eventually led to a Microsoft Windows platform in 1995 and continued feature enhancements that are still being developed . As a corollary to this operating environment, MDIS acquired and developed its PROIV fourth generation language (4GL), which was used worldwide by companies including Fujitsu. A variant was implemented on REALITY called ALL (Application Language Liberator). In 1993, a management buyout occurred.
On 1 May 1950, the reserve 565th AC&WG; was activated as a Corollary unit at Selfridge, sharing the 541st's equipment and facilities. The 565th was called to active duty on 2 June 1951 and was inactivated, with its personnel used as fillers for the 541st. It was inactivated in 1952 with its units being assigned directly to the 30th AD.
Sherlock Coco, famous detective, tries to thwart the machiavellian plans of the trio of shock. Croquignol, Ribouldingue and Filochard must be extra vigilant, but the profit motive is too strong. As a corollary, the famous pink diamond is also of interest to their legendary enemy, Jo Papillon. But always inventive, they will work out multiple scams and tricks to reach their goals.
Another example is the Sabre system that has been designed for making reservations but has been used in crew scheduling and flight forecasting. As a corollary a bad system produces problems that are disproportionately high in comparison to its area of operation, a prime example here being the 64K memory limitation of DOS which for a long time stymied software developers.
At the same time, a plane has zero Gaussian curvature. As a corollary of Theorema Egregium, a piece of paper cannot be bent onto a sphere without crumpling. Conversely, the surface of a sphere cannot be unfolded onto a flat plane without distorting the distances. If one were to step on an empty egg shell, its edges have to split in expansion before being flattened.
In addition, Sobekhotep IV is the only one of these kings for whom it is known with certainty that he undertook other works in Abydos. As a corollary, tomb S9 likely belongs to Sobekhotep IV's predecessor and brother, Neferhotep I. This is perhaps indirectly confirmed by the observation that both Sobekhotep IV and Neferhotep I are known to have been particularly active in Abydos.
In mathematics and logic, a corollary ( , ) is a theorem of less importance which can be readily deduced from a previous, more notable statement. A corollary could for instance be a proposition which is incidentally proved while proving another proposition, while it could also be used more casually to refer to something which naturally or incidentally accompanies something else (e.g., violence as a corollary of revolutionary social changes).
The rejection of emigration from Israel is a central assumption in all forms of Zionism as a corollary of the "Negation of the Diaspora" in Zionism which according to Eliezer Schweid was a central tenet of Israeli Zionist education until the 1970s when there was a need for Israel to reconcile itself with the Jewish diaspora and its massive support of Israel following the Six-Day War.
"Maximus the Confessor" in Michael O'Carroll, Trinitas: A Theological Encyclopedia of the Holy Trinity (Delaware:Michael Glazier, Inc, 1987) (). Christologically Maximus insisted on a strict dyophysitism, which can be seen as a corollary of the emphasis on theosis. In terms of salvation, humanity is intended to be fully united with God. This is possible for Maximus because God was first fully united with humanity in the incarnation.
On 27 April 1950, the reserve 566th AC&WG; was activated as a Corollary unit at Hamilton, sharing the 542d's equipment and facilities. The 566th was called to active duty on 10 May 1951 and was inactivated, with its personnel used as fillers for the 542d. It was dissolved after about three years, with the units being assigned directly to its parent Air Division.
As a corollary to the omitting types theorem, the converse also holds: the theory T has an ω-model if and only if it is consistent in ω-logic. There is a close connection of ω-logic to ω-consistency. A theory consistent in ω-logic is also ω-consistent (and arithmetically sound). The converse is false, as consistency in ω-logic is a much stronger notion than ω-consistency.
A theorem by Gallai and Milgram shows that the number of paths in a smallest path cover cannot be larger than the number of vertices in the largest independent set., Theorem 2.5.1. In particular, for any graph G, there is a path cover P and an independent set I such that I contains exactly one vertex from each path in P. Dilworth's theorem follows as a corollary of this result.
The theorem is usually attributed to Euclid (ca. 360–280 BC), who stated it as a corollary to proposition 8 in book VI of his Elements. In proposition 14 of book II Euclid gives a method for squaring a rectangle, which essentially matches the method given here. Euclid however provides a different slightly more complicated proof for the correctness of the construction rather than relying on the geometric mean theorem.
Equilateral triangle Ptolemy's Theorem yields as a corollary a pretty theoremWilson, Jim. "Ptolemy's Theorem." link verified 2009-04-08 regarding an equilateral triangle inscribed in a circle. Given An equilateral triangle inscribed on a circle and a point on the circle. The distance from the point to the most distant vertex of the triangle is the sum of the distances from the point to the two nearer vertices.
Any symplectic manifold (or indeed any almost symplectic manifold) has a natural volume form. If M is a 2n-dimensional manifold with symplectic form ω, then ωn is nowhere zero as a consequence of the nondegeneracy of the symplectic form. As a corollary, any symplectic manifold is orientable (indeed, oriented). If the manifold is both symplectic and Riemannian, then the two volume forms agree if the manifold is Kähler.
By analogy with an Archimedean linearly ordered group, one can define an Archimedean cyclically ordered group as a group that does not contain any pair of elements such that for every positive integer . Since only positive are considered, this is a stronger condition than its linear counterpart. For example, no longer qualifies, since one has for every . As a corollary to Świerczkowski's proof, every Archimedean cyclically ordered group is a subgroup of itself.
He identifies this absolute truth with God, who therefore forms the fundamental principle both in the existence of things and the correctness of thought. As a corollary, he affirms that "everything that is, is rightly". elaborates Anselm's reasoning on correctness with regard to free will. He does not consider this a capacity to 'sin but a capacity to do good for its own sake (as opposed to owing to coercion or for self-interest).
Specifically, critics claimed that Marx failed to prove that average labour requirements are the real regulator of product-prices within capitalist production, since Marx failed to demonstrate what exactly the causal or quantitative connection was between the two. As a corollary, Marx's theory of the TRPF was undermined as well, since it was based on a necessary long-term evolution of value-proportions between the composition of production capital and the yield of production capital.
Indian mathematician Bhāskara II (1114–1185) is credited with knowledge of Rolle's theorem. Although the theorem is named after Michel Rolle, Rolle's 1691 proof covered only the case of polynomial functions. His proof did not use the methods of differential calculus, which at that point in his life he considered to be fallacious. The theorem was first proved by Cauchy in 1823 as a corollary of a proof of the mean value theorem.
As a corollary, if G is a ring of sets, then the smallest monotone class containing it coincides with the sigma-ring of G. By invoking this theorem, one can use monotone classes to help verify that a certain collection of subsets is a sigma-algebra. The monotone class theorem for functions can be a powerful tool that allows statements about particularly simple classes of functions to be generalized to arbitrary bounded and measurable functions.
The functions allocated to the Department of war Transport include Major Ports, Railways Priorities, utilization of road and water transport, Petrol rationing and Producer Gas. Broadly speaking, the functions of the War Transport Department were to coordinate the demands for transport in war time, Coastal Shipping and the administration and development of major ports. Later, the planning of export was undertaken as a corollary to the Departments control of transport priorities also.
The strategy was endorsed in 1992 and represented an action towards the Ecologically Sustainable Development (ESD). ESD was defined in 1990 by the Commonwealth Government as "using, conserving and enhancing the community's resources so that ecological processes, on which life depends, are maintained, and the total quality of life, now and in the future, can be increased" and the same definition had been used in the strategy. The National Waste Minimization and Management Strategy developed as a corollary.
A basophil granulocyte is surrounded by lightly staining eosinophilic erythrocytes in an H&E; staining. Eosinophilic (Greek suffix -phil-, meaning loves eosin) refers to the staining of certain tissues, cells, or organelles after they have been washed with eosin, a dye. Eosin is an acidic dye; thus, the structure being stained is basic and as a corollary, is acidophilic. Eosinophilic describes the appearance of cells and structures seen in histological sections that take up the staining dye eosin.
The Equal Employment Opportunity Commission was founded in 1964 as a corollary to the Civil Rights Act passed by congress in 1964.Arturo Rosales, Dictionary of Latino Civil Rights History (Houston, TX: Arte Publico Press, 2006), 157. The act was signed by President Lyndon B. Johnson and the EEOC was designed to prevent employment discrimination. Congress has given the EEOC the authority to investigate discrimination claims, create conciliation programs, create voluntary assistance programs and file lawsuits.
Morgan showed how to modify the classical Heintze-Karcher inequality, which controls the volume of certain cylindrical regions in the space by the Ricci curvature in the region and the mean curvature of the region's cross-section, to hold in the setting of manifolds with density. As a corollary, he was also able to put the Levy-Gromov isoperimetric inequality into this setting. Much of his current work deals with various aspects of isoperimetric inequalities and manifolds with density.
The group provided early warning operating radar systems including the AN/TPS-1. On 15 March 1950, the reserve 564th ACWG was activated as a Corollary unit at Silver Lake, sharing the 505th's equipment and facilities. The 564th was called to active duty on 10 May 1951 and was inactivated, with its personnel used as fillers for the 505th. With a growing movement to assign homeland defense to reserve units, the 505 ACWG inactivated on 6 February 1952.
In mathematics, Delzant's theorem, introduced by , classifies effective Hamiltonian actions of a torus on a compact connected symplectic manifold of twice the dimension by their image under the momentum mapping (Delzant polytope). A Delzant polytope is a convex polytope in Rn such that the slopes of the edges of each vertex are given by a basis of Zn. As a corollary, these symplectic manifolds have a complex structure and can be promoted as toric varieties, with invariant Kähler structures.
At the graduate level he held seminars in Slavery and Antislavery and the Antebellum period. Rayback studied the issues of American politics from 1830 to 1860 including federal politics of the slavery issue, and the rise of the Republican Party. He mentored dissertations in antebellum history, including the Antimasonic movement in New York State. As a corollary to this work, Rayback also became a scholar of early immigration policy in the U.S. In 1959, Rayback wrote a history of the American labor movement.
In 1937 Theodor Schneider proved the aforementioned result that if is a quadratic irrational number in the upper half plane then is an algebraic integer. In addition he proved that if is an algebraic number but not imaginary quadratic then is transcendental. The function has numerous other transcendental properties. Kurt Mahler conjectured a particular transcendence result that is often referred to as Mahler's conjecture, though it was proved as a corollary of results by Yu. V. Nesterenko and Patrice Phillipon in the 1990s.
In 1983, Steinberg and Zangwill provided, under reasonable assumptions, the necessary and sufficient conditions for Braess' paradox to occur in a general transportation network when a new route is added. (Note that their result applies to the addition of any new route, not just to the case of adding a single link.) As a corollary, they obtain that Braess' paradox is about as likely to occur as not occur; their result applies to random rather than planned networks and additions.
The intestinal bypass surgery, as the name suggests, anastomoses 14 inches of the proximal duodenum, the part of the small intestine closest to the stomach, to the 4 inches of the distal ileum, the part of the small intestine closest to large intestines. This creates a blind loop and bypasses nearly 85-90 % of the small intestine. As a corollary, the absorption of nutrients is greatly reduced, and thus lead to apparent weight reduction. There are four variations of intestinal bypass.
Schinzel (2000) p.312 If K is Hilbertian then the projective line over K is Hilbertian, so this may be taken as the definition.Schinzel (2000) p.298 The rational number field Q is Hilbertian, because Hilbert's irreducibility theorem has as a corollary that the projective line over Q is Hilbertian: indeed, any algebraic number field is Hilbertian, again by the Hilbert irreducibility theorem.Lang (1997) p.41 More generally a finite degree extension of a Hilbertian field is HilbertianSerre (1992) p.
As a corollary, the "discovering" power gains the exclusive right to extinguish the "right of occupancy" of the Indigenous occupants, which otherwise survived the assumption of sovereignty. Marshall further opined that when they declared independence from Great Britain, the United States government inherited the British right of preemption over Native American lands. The legal result is that the only Native American conveyances of land which can create valid title are sales of land to the federal government.Banner, 2005, pp. 178-188.
After the invasion of Persia under Rashidun was completed in five years and almost all of the Persian territories came under Arab control, it is also inevitable open a new problems for Caliphate. pockets of tribal resistance continued for centuries in the Afghan territories. During the 7th century, Arab armies made their way into the region of Afghanistan from Khorasan. the second problem was As a corollary to the Muslim conquest of Persia, the Muslims became neighbors of the city states of Transoxiana.
In a stagnating, decadent capitalism, the accumulation process is increasingly oriented towards investment on military and security forces, real estate, financial speculation and luxury consumption. In that case, income from value- adding production will decline in favour of interest, rent and tax income, with as a corollary an increase in the level of permanent unemployment. The more capital one owns, the more capital one can also borrow. The inverse is also true and this is one factor in the widening gap between the rich and the poor.
As a corollary of this view, he strongly protested against the conviction of Colonel-General Alfred Jodl, stating that it was a miscarriage of justice for the professional soldier to be convicted - when he held no allegiance to Nazism. Jodl was later exonerated posthumously by a German court, citing Donnedieu's statement. On 28 February 1953, a West German denazification court declared Jodl not guilty of breaking international law. This not guilty declaration was revoked on 3 September 1953, by the Minister of Political Liberation for Bavaria.
As a corollary, however, this concept implied that convincing evidence of activity would require a direct comparison with standard treatment. Between 2001 and 2004, Genta initiated and completed three, global, randomized studies in melanoma, myeloma, and chronic lymphocytic leukemia. Given exceptionally poor patient outcomes in melanoma, a randomized double-blind trial was initiated using a standard drug (dacarbazine) with or without Genasense. The initial size of this trial was expanded to enable a direct comparison of safety and efficacy, which involved 139 research sites in 9 countries.
Nordstrom, p 336: "As a corollary, a security policy based on strong national defences designed to discourage, but not prevent, attack was pursued. For the next several decades, the Swedish poured an annual average of about 5% of GDP into making their defenses credible." At the same time, the country maintained relatively close informal connections with the Western bloc, especially in the realm of intelligence exchange. In 1952, a Swedish DC-3 was shot down over the Baltic Sea by a Soviet MiG-15 jet fighter.
A related result is the Weierstrass division theorem, which states that if f and g are analytic functions, and g is a Weierstrass polynomial of degree N, then there exists a unique pair h and j such that f = gh + j, where j is a polynomial of degree less than N. In fact, many authors prove the Weierstrass preparation as a corollary of the division theorem. It is also possible to prove the division theorem from the preparation theorem so that the two theorems are actually equivalent.
The line from Leeds Central station to Neville Hill depot was electrified in the early 1990s as a corollary to the East Coast Main Line electrification project. The electrification was energised in March 1993. In 2005, as part of its franchise offer, the train operating Great North Eastern Railway (GNER) proposed to electrify the section of the line between Leeds and Hambleton junction in association with Network Rail, at an estimated cost of £70 million. GNER lost the franchise in December 2006 before undertaking the electrification work.
PC/104-Plus CPU boards provide active communication on both buses, and are capable of communicating with both ISA and PCI peripheral cards. On PC/104-Plus peripheral modules, the PC/104 connector is simply a passive connector for stackability; the module actively communicates on the PCI bus only. As a corollary, a PC/104-Plus peripheral module may not be used with a PC/104 CPU board. However, a PC/104-Plus CPU board may be used with a PC/104 peripheral module.
In particular, terrorism is viewed as a violent manifestation of ethnic separatism, and separatism is understood as a corollary of religious zealotry. The government has embarked on strike-hard campaigns to suppress these tendencies, particularly in Xinjiang and Tibetan regions. Since the 11 September attacks in 2001, the PRC government has strengthened its involvement in multilateral and bilateral counter-terrorism efforts. As a result of these efforts, some Uyghur separatist movements have been labelled as terrorist groups by the United Nations and U.S. Department of State.
As a result, in June AD 4, Augustus adopted Tiberius on the condition that Tiberius first adopt Germanicus. As a corollary to the adoption, Germanicus was wed to his second cousin Agrippina the Elder the following year. In AD 13 Nero's father was appointed commander of the forces on the Rhine, from where he led three campaigns into Germania against the forces of Arminius. His victories against the German tribes which had made him popular as he avenged the Roman defeat at the Battle of Teutoburg Forest.
As a corollary he proved the celebrated Ramanujan–Petersson conjecture for modular forms of weight greater than one; weight one was proved in his work with Serre. Deligne's 1974 paper contains the first proof of the Weil conjectures. Deligne's contribution being to supply the estimate of the eigenvalues of the Frobenius endomorphism, considered the geometric analogue of the Riemann hypothesis. It also led to the proof of Lefschetz hyperplane theorem and the old and new estimates of the classical exponential sums, among other applications.
The proof of the converse here depends on its being apparent that there is a uniqueness relation, i.e. that in any given setup, only one orbit corresponds to one given and specified set of force/velocity/starting position. Newton added a mention of this kind into the second edition of the Principia, as a Corollary to Propositions 11–13, in response to criticism of this sort made during his lifetime.See D T Whiteside (ed.), Mathematical Papers of Isaac Newton, vol. 6 (1684–1691), at pages 56-57, footnote 73.
F-84E Thunderjets of the 12th Fighter-Escort Group The squadron was reactivated in 1949 in the Air Force Reserve at Bergstrom Air Force Base as a corollary unit to Strategic Air Command's 27th Fighter Group.Mueller, pp. 29–34 With no aircraft assigned, reservists of the unit flew the North American F-82 Twin Mustangs, and later, the Republic F-84 Thunderjets of the 27th. When most of the 27th group deployed to Korea for the Korean War, the group became affiliated with the 12th Fighter-Escort Group.
The concept was first presented as a corollary of his broader "Parkinson's law" spoof of management. He dramatizes this "law of triviality" with the example of a committee's deliberations on an atomic reactor, contrasting it to deliberations on a bicycle shed. As he put it: "The time spent on any item of the agenda will be in inverse proportion to the sum [of money] involved." A reactor is so vastly expensive and complicated that an average person cannot understand it, so one assumes that those who work on it understand it.
The Everett, or many-worlds interpretation of quantum mechanics claims that the wave-function of a quantum system is telling us claims about the reality of that physical system. It denies wavefunction collapse, and claims that superposition states should be interpreted literally as describing the reality of many-worlds where objects are located, and not simply indicating the indeterminacy of those variables. This is sometimes argued as a corollary of scientific realism,David Wallace, 'The Emergent Multiverse', pp. 1–10 which states that scientific theories aim to give us literally true descriptions of the world.
Bones' mother's exposure to mutagenic drugs during pregnancy gave him three superhuman powers, two of which are extremely inconvenient to his daily life: first, his skin (which, it has been indicated, would otherwise be black), flesh, and organs are all transparent, giving him the appearance of a denuded skeleton (thus his name); second, his skin constantly exudes a cyanide-based compound (in effect a toxic sweat), which is almost invariably lethal to anyone who touches him (as a corollary, he is immune to cyanide poisoning); third, he possesses superhuman strength.
If the alpha male is removed from the group, a previous subordinate starts exhibiting dominant behavior and egr1 is expressed in hypothalamus neurons that are responsible for producing a neuropeptide linked to sexual reproduction. Overall, the role of transcription factor egr1 in the context of social behavior clearly shows the link between genes and behavior. As a corollary to that described above, given an environmental cue egr1 will induce or suppress the transcription of other genes. Egr1 shows how social experience may trigger changes in the brain's gene networks.
Activated as an ADC Aircraft Control and Warning Group, forming radar squadrons in the late 1940s and the early 1950s and deploying them around the New York, New Jersey area under First Air Force and the 26th Air Division. On 16 April 1950, the reserve 563d Aircraft Control and Warning Group was activated as a Corollary unit at Roslyn, sharing the 503d's equipment and facilities. The 563d was called to active duty on 2 June 1951 and was inactivated, with its personnel used as fillers for the 503d.
The idea of mastery learning resurfaced in the late 1950s and early 1960s as a corollary of programmed instruction, a technology invented by B.F. Skinner to improve teaching. Underlying programmed instruction was the idea that the learning of any behavior, no matter how complex, rested upon the learning of a sequence of less-complex component behaviors. Around that same time, John B. Carroll was working on his "Model of School Learning". This was a conceptual paradigm which outlined the major factors influencing student success in school learning, indicating also how these factors interacted.
Gray considered Abraham Lincoln as a second George Washington because of the way he managed to preserve the Union during the war. He also predicted that the fate of slavery depended upon the length and bitterness of the war, and the longer it lasted the more disastrous it would be for the South. As a corollary, he felt that if the South had given up early in the war, they would have had a chance of preserving slavery longer. Regarding his botanical endeavors, the war sundered his supply of information and specimens from the South.
As a corollary, Gödel proved that the consistency of a theory like Peano arithmetic is an unprovable assertion within the scope of that theory. It is reasonable to believe in the consistency of Peano arithmetic because it is satisfied by the system of natural numbers, an infinite but intuitively accessible formal system. However, at present, there is no known way of demonstrating the consistency of the modern Zermelo–Fraenkel axioms for set theory. Furthermore, using techniques of forcing (Cohen) one can show that the continuum hypothesis (Cantor) is independent of the Zermelo–Fraenkel axioms.
With the end of World War II, the 330th was allotted to the Air Force Reserve. It was redesignated as the 330th Bombardment Group, and stationed at March Air Force Base, California for training with Boeing B-29 Superfortresses as a corollary unit of the active-duty Strategic Air Command 22d Bombardment Group. The group was activated on 27 June 1949 and assigned to the 330th Bombardment Wing under the wing base organization system. As a result of the Korean War its personnel were activated into Federal Service on 1 May 1951.
Starting in mid-1986, based on successive progress of the previous few years of Gerhard Frey, Jean-Pierre Serre and Ken Ribet, it became clear that Fermat's Last Theorem could be proven as a corollary of a limited form of the modularity theorem (unproven at the time and then known as the "Taniyama–Shimura–Weil conjecture"). The modularity theorem involved elliptic curves, which was also Wiles's own specialist area. The conjecture was seen by contemporary mathematicians as important, but extraordinarily difficult or perhaps impossible to prove.Simon Singh (1997).
One basic halakhic rule for public reading of the Torah is that no fewer than three verses at a time be read. As a corollary to this, there is a specific rule regarding parashot: One may not leave off reading less than three verses before the end of a parashah, nor may one end off reading by starting a new parashah but leaving off less than three verses from its beginning.The talmudic source for this isMegillah 22a. In later halakhic literature, these rules are discussed in Orah Hayyim 138.
A 3-manifold with a Riemannian metric of constant positive sectional curvature is covered by the 3-sphere, moreover the group of covering transformations are isometries of the 3-sphere. If the original 3-manifold had in fact a trivial fundamental group, then it is homeomorphic to the 3-sphere (via the covering map). Thus, proving the elliptization conjecture would prove the Poincaré conjecture as a corollary. In fact, the elliptization conjecture is logically equivalent to two simpler conjectures: the Poincaré conjecture and the spherical space form conjecture.
It is also equal to the closure of the convex hull of and to the intersection of all closed convex subsets that contain . It is straightforward to show that the convex hull of the extreme points forms a subset of , so the main burden of the proof is to show that there are enough extreme points so that their convex hull covers all of . As a corollary, it follows that every non-empty compact convex subset of a Hausdorff locally convex TVS has extreme points (i.e. the set of its extreme points is not empty).
These two ways are usually combined, meaning that all or most owners make gains, but in unequal amounts. In considering the economic reproduction process as a whole, one therefore has to consider both the production of new resources and the transfer (distribution) of resources. As a corollary, supposing that there is no net growth of output and capital, capital accumulation can continue only if some people and organizations get richer while other people and organizations get poorer. Typically, if output growth slows down, socio-economic inequality (as measured, e.g.
Weiss made the first exegesis of the Gospels from an perspective of consistent eschatology. According to Weiss, the "Kingdom of God" was Jesus' understanding of an imminent end to history, and all continuous ethical teachings were additions made by the early Church to make Jesus' teaching relevant when the end of the world did not come about immediately. This greatly influenced several generations of Biblical scholars. As a corollary, Weiss believed that the authentic teachings of the historical Jesus would be inapplicable to those who did not hold his first- century apocalyptic worldview.
Financial betting refers to the wagering on the price development of a financial instrument at some later date relative to the current price or level of the instrument, against odds offered by a bookmaker. Maximum potential pay- off of the wager is known when the bet is taken and as a corollary risk is known beforehand by being limited to the initial stake. Financial betting instruments are a type of digital option. The outcome of the wager at settlement is binary, that is, either a win or a loss.
As a corollary to these initiatives, the NHS was required to take on pro-active socially "directive" policies, for example, in respect of smoking and obesity. The NHS encountered significant problems with the information technology (IT) innovations accompanying the Blair reforms. The NHS's National Programme for IT (NPfIT), believed to be the largest IT project in the world, is running significantly behind schedule and above budget, with friction between the government and the programme contractors. Originally budgeted at £2.3 billion, present estimates are £20–30 billion and rising.
As a corollary of the rule, the number of negative roots is the number of sign changes after multiplying the coefficients of odd-power terms by −1, or fewer than it by an even number. This procedure is equivalent to substituting the negation of the variable for the variable itself. For example, the negative roots of ax^3+bx^2+cx+d are the positive roots of :a(-x)^3+b(-x)^2+c(-x)+d = -ax^3+bx^2-cx+d. Thus, applying Descartes' rule of signs to this polynomial gives the number of negative roots of the original polynomial.
In number theory, Fermat studied Pell's equation, perfect numbers, amicable numbers and what would later become Fermat numbers. It was while researching perfect numbers that he discovered Fermat's little theorem. He invented a factorization method—Fermat's factorization method—and popularized the proof by infinite descent, which he used to prove Fermat's right triangle theorem which includes as a corollary Fermat's Last Theorem for the case n = 4. Fermat developed the two-square theorem, and the polygonal number theorem, which states that each number is a sum of three triangular numbers, four square numbers, five pentagonal numbers, and so on.
The question of perfection, of a harmonious situation where nothing can be added without worsening conditions for individuals and set relationships, drives the narrative of the Polifemo. Essentially, the poem exposits the implausibility of Arcadia, of an ideal world, given the persistent problem of evil. It presents evil not as an unjustified primordial element independent of humankind, but as a corollary to the finite nature of the material universe. The zero-sum metaphysical assumptions maintained throughout the narrative foment a pervasive sense of competition that prompt egocentric feelings of vanity and jealousy, which together predicate violence and destruction.
Natural economy - is a type of economy in which money is not used in the transfer of resources among people. It is a system of allocating resources through direct bartering, entitlement by law, or sharing out according to traditional custom. In the more complex forms of natural economy, some goods may act as a referent for fair bartering, but generally currency plays only a small role in allocating resources. As a corollary, the majority of goods produced in a system of natural economy are not produced for the purpose of exchanging them, but for direct consumption by the producers (subsistence).
Throughout her duration on the series, Jenny went on a journey from the very first episode, which portrayed her as a selfish egotist; many observers have perceived her as a narcissist, and even as a borderline sociopath. This latter assessment was based early on around her recurrent lying, and the fact she seems to excuse her own cheating in the first few seasons as a corollary of empowerment and as research for her book: which features an experimentalist female character who is evidently herself. Kirshner has described Jenny as mostly being duplicitous and confused. Jenny often acted "utterly impulsive".
In 1947, the squadron was reactivated in the reserves, but does not appear to have been fully manned or equipped before inactivating in June 1949. It was again activated in the reserves a few months later as a corollary unit, flying with the active duty 301st Bombardment Group. It was called to active duty for the Korean War, but did not serve as a unit, its personnel being used as fillers for other units, while the squadron was inactivated. The squadron was redesignated the 756th Troop Carrier Squadron and again activated at Andrews in the reserve in 1954.
Since soundness implies consistency, this weaker form can be seen as a corollary of the strong form. It is important to observe that the statement of the standard form of Gödel's First Incompleteness Theorem is completely unconcerned with the truth value of a statement, but only concerns the issue of whether it is possible to find it through a mathematical proof. The weaker form of the theorem can be proved from the undecidability of the halting problem as follows. Assume that we have a sound (and hence consistent) and complete axiomatization of all true first- order logic statements about natural numbers.
As a result, in June AD 4, Augustus adopted Tiberius on the condition that Tiberius first adopt Germanicus. As a corollary to the adoption, Germanicus was wed to his second cousin Agrippina the Elder the following year. In AD 13 his father was appointed commander of the forces on the Rhine, from where he led three campaigns into Germany against the forces of Arminius, which had made him popular as he avenged the humiliating Roman defeat at the Battle of Teutoburg Forest. In October AD 14, Germanicus received a delegation from the Senate giving its condolences for the death of Augustus.
In philosophical terms, things that are indifferent are outside the application of moral law—that is without tendency to either promote or obstruct moral ends. Actions neither required nor forbidden by the moral law, or that do not affect morality, are called morally indifferent. The doctrine of things indifferent (, adiaphora) arose in the Stoic school as a corollary of its diametric opposition of virtue and vice ( kathekonta, "convenient actions", or actions in accordance with nature; and ἁμαρτήματα hamartemata, mistakes). As a result of this dichotomy, a large class of objects were left unassigned and thus regarded as indifferent.
Levels of processing have been an integral part of learning about memory. The self-reference effect describes the greater recall capacity for a particular stimulus if it is related semantically to the subject. This can be thought of as a corollary of the familiarity modifier, because stimuli specifically related to an event in a person's life will have widespread activation in that person's semantic network. For example, the recall value of a personality trait adjective is higher when subjects are asked whether the trait adjective applies to them than when asked whether trait adjective has a meaning similar to another trait.
In a stagnating, decadent capitalism, the accumulation process is increasingly oriented towards investment on military and security forces, real estate, financial speculation, and luxury consumption. In that case, income from value-adding production will decline in favour of interest, rent and tax income, with as a corollary an increase in the level of permanent unemployment. As a rule, the larger the total sum of capital invested, the higher the return on investment will be. The more capital one owns, the more capital one can also borrow and reinvest at a higher rate of profit or interest.
Some authors interpret the first law as defining what an inertial reference frame is; from this point of view, the second law holds only when the observation is made from an inertial reference frame, and therefore the first law cannot be proved as a special case of the second. Other authors do treat the first law as a corollary of the second. The explicit concept of an inertial frame of reference was not developed until long after Newton's death. In the given interpretation mass, acceleration, momentum, and (most importantly) force are assumed to be externally defined quantities.
A key example of self- intersection numbers is the exceptional curve of a blow-up, which is a central operation in birational geometry. Given an algebraic surface , blowing up at a point creates a curve . This curve is recognisable by its genus, which is , and its self-intersection number, which is . (This is not obvious.) Note that as a corollary, and are minimal surfaces (they are not blow-ups), since they do not have any curves with negative self-intersection. In fact, Castelnuovo’s contraction theorem states the converse: every -curve is the exceptional curve of some blow-up (it can be “blown down”).
A representative of Human Rights Watch was reported as saying "strengthening law enforcement powers without appropriate judicial checks and balances is dangerous," and further noted that it was unclear how and by whom groups and individuals would be designated as terrorists. The government of the People's Republic of China identifies terrorism as one of "Three Evils", alongside separatism and religious fundamentalism. These forces are seen by Beijing as inter-connected threats to social stability and national security. In particular, terrorism is viewed as a violent manifestation of ethnic separatism, and separatism is understood as a corollary of religious zealotry.
The lyrics that have to do with the expression of love toward his partner are combined in the video with shocking images of a couple being arrested by the Border Patrol while the husband's young granddaughter looks on stunned at her grandparents being arrested. One of the police officers in the video is portrayed by Jesse Garcia. While they reiterate the phrase "Estoy Enamorado", there are scenes of a nighttime chase in the desert located on the border between Mexico and the United States. As a corollary some Latino people, presumably Mexicans, living in the U.S. literally fade from their daily lives.
At the time of her birth, her brothers Lucius and Gaius were the adoptive sons of Augustus and were his heirs until their deaths in AD 2 and 4, respectively. Following their deaths, her cousin Germanicus was made the adoptive son of Tiberius as part of Augustus' succession scheme in the adoptions of AD 4 in which Tiberius was adopted by Augustus. As a corollary to the adoption, Agrippina was wed to Germanicus in order to bring him closer to the Julian family. She is known to have traveled with him throughout his career, taking her children everywhere they went.
Nagy & Vincze, pp. 28–29 As a corollary of his support for cooperative endeavors and defense of minority rights, Maniu championed Balkan federalism and Europeanism, both of which were referred to in his speeches of the 1920s and '30s; he viewed himself as agreeing with specific transnational proposals advanced by Nicolae Titulescu and André Tardieu.Costea, passim; Țepelea, pp. 230–232 In part, such tenets reflected the PNȚ-ist stances on Transylvanian autonomy: Maniu regarded István Bethlen's autonomism as a front for Hungarian revisionism, and proposed instead that Hungary and Romania be joined into a Central European Confederation.Dobrescu (2003), p. 356.
At its heyday in the 1970s, the Tbilisi Zoo was home to more than 1,000 animals and enjoyed more than 500,000 visitors per year. The Zoo, largely depending on dwindling funding allocated from the city budget, went into decay as a corollary of an economical collapse and political unrest that hit post- Soviet Georgia in the 1990s. A World Society for the Protection of Animals representative, Neil Trent, reported in 1993 that more than half of the animals at the zoo had died of starvation or cold since 1991. The Zoo experienced a modest revival in the late 2000s.
In political science, Duverger's law holds that single-ballot plurality-rule elections (such as first past the post) structured within single-member districts tend to favor a two-party system. The discovery of this tendency is attributed to Maurice Duverger, a French sociologist who observed the effect and recorded it in several papers published in the 1950s and 1960s. In the course of further research, other political scientists began calling the effect a "law" or principle. As a corollary to the law, Duverger also asserted that proportional representation favors multi-partism, as does the plurality system with runoff elections.
NDotM Future Jobs Fund Hubs create internships, apprenticeships and jobs targeted at creative graduates and long-term unemployed young people (18–24 years) in larger arts and heritage institutions that act as "hubs." These placements are paid for by the recently created Future Jobs Fund, a fund of around £1 billion to support the creation of jobs for long term unemployed young people and others who face significant disadvantage in the labour market. FJF placements seek to tackle the issues of youth unemployment in the arts head-on, and, as a corollary help with the cultural and racial diversity that can only enrichen this country's heritage.
Although the line's initial five freight cars were converted to passenger use in May 1876, twelve 5 ton-capacity replacements were delivered from Britain shortly later. The foreign diplomats also made no secret of their intention to expand concessions regarding Shanghai into its adjoining territory. During his negotiations over the line, the British secretary Mayers openly claimed that "Woosung is really but a part of the port of Shanghai under the Treaty of Tientsin". Moreover, the importance of the line to the foreigners had already allowed Li Hongzheng to interfere with and even usurp Shen's authority within Jiangsu as a corollary to his authority over treaty negotiations.
Monotheist religions – Aniconism was shaped in monotheist religions by theological considerations and historical contexts. It emerged as a corollary of seeing God's position as the ultimate power holder, and the need to defend this unique status against competing external and internal forces, such as pagan idols and critical humans. Idolatry was seen as a threat to uniqueness, and one way that prophets and missionaries chose to fight it was through the prohibition of physical representations. The same solution worked against the pretension of humans to have the same power of creation as God (hence their banishment from the Heavens, the destruction of Babel, and the Second Commandment in the biblical texts).
Suppose that R is a (commutative) principal ideal domain and M is a finitely-generated R-module. Then the structure theorem for finitely generated modules over a principal ideal domain gives a detailed description of the module M up to isomorphism. In particular, it claims that : M \simeq F\oplus T(M), where F is a free R-module of finite rank (depending only on M) and T(M) is the torsion submodule of M. As a corollary, any finitely-generated torsion-free module over R is free. This corollary does not hold for more general commutative domains, even for R = K[x,y], the ring of polynomials in two variables.
In 1949, the squadron was reactivated in the Air Force Reserve and served as a corollary unit of the active duty 27th Fighter Group and later, as the 535th Fighter-Escort Squadron of the 12th Fighter-Escort Group until it was ordered to active service in 1951. Its personnel were used to man active duty units and the squadron was inactivated. The squadron was redesignated in 1952 as the 535th Troop Carrier Squadron, and activated at Atterbury Air Force Base to replace elements of the 923d Reserve Training Wing. The following year the squadron was inactivated and replaced at Atterbury by the 71st Troop Carrier Squadron.
" Some have suggested that Paul's treatment of sex was influenced by his conviction that the end of the world was imminent. Under this view, Paul, believing that the world would soon end, took it as a corollary that all earthly concerns, including sex, should hold little interest for Christians. Paul's letters show far greater concern with sexual issues than the gospel writers attributed to Jesus, since Paul was building Christian communities over decades and responding to various issues that arose. The theologian Lee Gatiss states that "the word 'fornication' has gone out of fashion and is not in common use to describe non-marital sex.
262 (1961), pp. 455-475. On the other hand, it is an easy theorem that every finitely generated subgroup of a finitely presented group is recursively presented, so the recursively presented finitely generated groups are (up to isomorphism) exactly the finitely generated subgroups of finitely presented groups. Since every countable group is a subgroup of a finitely generated group, the theorem can be restated for those groups. As a corollary, there is a universal finitely presented group that contains all finitely presented groups as subgroups (up to isomorphism); in fact, its finitely generated subgroups are exactly the finitely generated recursively presented groups (again, up to isomorphism).
On 15 November 2006, at almost 70 he was appointed Titular Bishop of Meta and consecrated on 16 December by Cardinal Tarcisio Bertone, with Cardinals James Francis Stafford and Jean-Louis Tauran as principal co- consecrators. In a 2008 press conference, Girotti warned drug pushers, the obscenely rich, environmental polluters and "manipulative" genetic scientists that they were in danger of committing mortal sins. He said that surveys showed 60 per cent of Catholics in Italy no longer went to confession. He said that priests must take account of "new sins which have appeared on the horizon of humanity as a corollary of the unstoppable process of globalisation".
From a modeling perspective the entire dispute looks like a chicken-egg dilemma: either fixed data by first and probability distribution of their properties as a consequence, or fixed properties by first and probability distribution of the observed data as a corollary. The classic solution has one benefit and one drawback. The former was appreciated particularly back when people still did computations with sheet and pencil. Per se, the task of computing a Neyman confidence interval for the fixed parameter θ is hard: you don’t know θ, but you look for disposing around it an interval with a possibly very low probability of failing.
In the fall of 1943, a new unit, the 87th Fighter Group was activated at Richmond Army Air Base, Virginia to serve as a replacement training unit. It served as a Republic P-47 Thunderbolt replacement training unit under First Air Force until 1944 when it was disbanded in a general reorganization of Army Air Forces training units. In 1949, the group was reactivated in the Air Force Reserve and served as a corollary unit of the active duty 27th Fighter Group and later, as the 87th Fighter-Escort Group, of the 12th Fighter-Escort Group until it was ordered to active service in 1951.
F-84E Thunderjets of the 12th Fighter-Escort Group The group was reactivated in 1949 in the Air Force Reserve at Bergstrom Air Force Base as a corollary unit to Strategic Air Command's 27th Fighter Group with one operational squadron and two support units.Mueller, pp. 29–34 With no aircraft assigned, reservists of the unit flew the North American F-82 Twin Mustangs, and later, the Republic F-84 ThunderjetsRobertson, Patsy, AFHRA 535 Airlift Squadron Fact Sheet 19 December 2007 of the 27th. When most of the 27th group deployed to Korea for the Korean War, the group became affiliated with the 12th Fighter- Escort Group.
One of the earliest Western philosophers to consider nothing as a concept was Parmenides (5th century BC), who was a Greek philosopher of the monist school. He argued that "nothing" cannot exist by the following line of reasoning: To speak of a thing, one has to speak of a thing that exists. Since we can speak of a thing in the past, this thing must still exist (in some sense) now, and from this he concludes that there is no such thing as change. As a corollary, there can be no such things as coming-into-being, passing-out-of-being, or not- being.
A potent Bcl-2 antisense molecule was discovered and patented by Dr. John Reed, one of the world's highly ranked scientists. Working with Dr. Carlo Croce, Reed was a key figure in understanding the central role of apoptosis in cancer cell death. Reed and others showed that cell-death in multiple types of cancer cells was blocked by expression of Bcl-2 protein. As a corollary, they showed that inhibitors of Bcl-2 function – or reduced expression of Bcl-2 protein – greatly enhanced cancer-killing activity when combined with conventional anticancer therapy. Through the mid 1990s, drug development of oligonucleotides was slowed by the enormous cost of synthesizing custom DNA molecules.
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.
If V is a vector space over a field K and if W is a subset of V, then W is a subspace of V if under the operations of V, W is a vector space over K. Equivalently, a nonempty subset W is a subspace of V if, whenever w_1, w_2 are elements of W and \alpha, \beta are elements of K, it follows that \alpha w_1 + \beta w_2 is in W. As a corollary, all vector spaces are equipped with at least two subspaces: the singleton set with the zero vector and the vector space itself. These are called the trivial subspaces of the vector space.
The Human Potential Movement (HPM) arose out of the counterculture movement of the 1960s and formed around the concept of cultivating extraordinary potential that its advocates believe to lie largely untapped in all people. The movement took as its premise the belief that through the development of "human potential", humans can experience an exceptional quality of life filled with happiness, creativity, and fulfillment. As a corollary, those who begin to unleash this assumed potential often find themselves directing their actions within society towards assisting others to release their potential. Adherents believe that the net effect of individuals cultivating their potential will bring about positive social change at large.
A Tuareg blacksmith The Tuareg social stratification involving noble, clerical and artisanal castes likely emerged after the 10th century, as a corollary of the rising slavery system. Similar caste institutions are found among various other communities in Africa. According to the anthropologist Tal Tamari, linguistic evidence suggests that the Tuareg blacksmith and bard endogamous castes evolved under foreign contact with Sudanic peoples since the Tuareg terms for blacksmith and bard are of non-Berber origin. Correspondingly, the designation for the endogamous blacksmiths among the southern Tuareg is gargassa (a cognate of the Songhay garaasa and Fulani garkasaa6e), whereas it is enaden among the northern Tuareg (meaning "the other").
George Boolos (1989) sketches an alternative proof of the first incompleteness theorem that uses Berry's paradox rather than the liar paradox to construct a true but unprovable formula. A similar proof method was independently discovered by Saul Kripke (Boolos 1998, p. 383). Boolos's proof proceeds by constructing, for any computably enumerable set S of true sentences of arithmetic, another sentence which is true but not contained in S. This gives the first incompleteness theorem as a corollary. According to Boolos, this proof is interesting because it provides a "different sort of reason" for the incompleteness of effective, consistent theories of arithmetic (Boolos 1998, p. 388).
Paul Darnley, a prominent intellectual: :"He had written three volumes on the origin of life, which he had spent seven years in looking for in hay and cheese; he had written five volumes on the entozoa of the pig, and two volumes of lectures, as a corollary to these, on the sublimity of human heroism and the whole duty of man. He was renowned all over Europe and America as a complete embodiment of enlightened modern thinking. He criticised everything; he took nothing on trust, except the unspeakable sublimity of the human race and its august terrestrial destinies."The New Paul and Virginia, pp. 8-9.
Through the 1840s, Neafie & Levy was primarily a manufacturer and supplier of marine steam engines and screw propellers to builders of wooden ships, such as Birely, Hillman & Streaker and William Cramp & Sons. In the early 1850s however, Neafie & Levy began to experiment with iron shipbuilding as a corollary to its propeller-making business. The screw propeller had a number of advantages over the paddlewheel, but it also had disadvantages. Amongst these were the vibration levels caused by higher RPM propeller engines, which loosened bolts on wooden ships, and the tendency for propeller shafts to break due to the phenomenon of "hogging" — the slight flexing of a ship's hull as waves pass beneath it.
Niven's Law is also a term given to the converse of Clarke's third law, so Niven's Law reads: "Any sufficiently advanced magic is indistinguishable from technology." However, it has also been credited as being from Terry Pratchett. Keystone Folklore identifies it as a "fan-composed corollary slogan" of Arthur C. Clarke fans.Pennsylvania Folklore Society (1989) Keystone Folklore Vol Number 1 pg 26 Gregory Benford in his January 30, 2013 "Variations on Clarke's Third Law" identifies it as a corollary to Clarke’s third law,(2013) Benford, Gregory "Variations on Clarke's Third Law" Both Clarke's Third Law and Niven's Law are referenced in part 2 of the serial Battlefield from season 26 of Doctor Who, first aired September 13, 1989.
Performance Evaluation System The ICD provides advice and technical assistance in the development and implementation of Performance Evaluation Systems, mainly for the Board and its committees, tailored to the needs and specifications of the client. CG Scorecard Result Presentations The Corporate Governance Scorecard Project provides a standard against which companies can measure their practices. Board presentations allow the directors to see which particular areas need improvement and how best to implement the appropriate reforms. The ICD has also launched two related programs: Raising the Scores and Broadening Participation. These support ICD’s goal of increasing the number of participating companies as well as helping companies improve their practices and as a corollary, improve their scores.
Opposition to grey propaganda, when revealed (often by an inside source), may create some level of public outcry. Opposition to black propaganda is often unavailable and may be dangerous to reveal, because public cognizance of black propaganda tactics and sources would undermine or backfire the very campaign the black propagandist supported. The propagandist seeks to change the way people understand an issue or situation for the purpose of changing their actions and expectations in ways that are desirable to the interest group. Propaganda, in this sense, serves as a corollary to censorship in which the same purpose is achieved, not by filling people's minds with approved information, but by preventing people from being confronted with opposing points of view.
On this occasion, specific cultural, sporting, artistic and historical events were organized as a corollary to the main event. The captains of the contrade of Legnano were the protagonists, on 2 and 3 April, of a ride reminiscent in period costume whose path wound between Legnano and Pontida, site of the legendary Oath of Pontida that saw, according to tradition, the birth of the Lombard League: the itinerary, 70 km long, was divided into two stages, with an intermediate overnight stay on the night of 2 April inside the Royal Villa of MonzaAutori vari, pp. 138-139.. In the same year a second cavalcade of the captain was prepared, this time destined for the Morimondo Abbey.
This promising, though timid, development was interrupted by World War I. A short period of the existence of Czechoslovakia between the two world wars proved to have positive effects upon the life of Humenné. As a corollary of World War II, however, all the effort had to start from the very beginning. On 26 November 1944, Humenné was captured by troops of the Soviet 18th Army, acting as a part of the 4th Ukrainian Front, after which the town became again part of Czechoslovakia. Coat of Arms of the town of Humenné, on the façade of a historical building in the centre of the town Until 1956 Humenné was an administrative rather than an economic centre.
In mathematical analysis, a family of functions is equicontinuous if all the functions are continuous and they have equal variation over a given neighbourhood, in a precise sense described herein. In particular, the concept applies to countable families, and thus sequences of functions. Equicontinuity appears in the formulation of Ascoli's theorem, which states that a subset of C(X), the space of continuous functions on a compact Hausdorff space X, is compact if and only if it is closed, pointwise bounded and equicontinuous. As a corollary, a sequence in C(X) is uniformly convergent if and only if it is equicontinuous and converges pointwise to a function (not necessarily continuous a-priori).
In fact there was an eighth province, the lordship of Drenthe, but this area was so poor it was exempt from paying confederal taxes and, as a corollary, was denied representation in the States-General. The duchy of Brabant, the county of Flanders and the lordship of Mechelen were also among the rebelling provinces, but were later completely or largely reconquered by Spain. After the Peace of Westphalia, the parts of these provinces that remained in the Dutch Republic's hands, as well as several other border territories, became confederally governed Generality Lands (Generaliteitslanden). They were Staats-Brabant (present North Brabant), Staats-Vlaanderen (present Zeeuws-Vlaanderen), Staats-Overmaas (around Maastricht) and Staats-Opper-Gelre (around Venlo, after 1715).
In most strong club systems, the opening bid of 2 is natural and promises a hand with long clubs (for example, in both Precision and Blue club, it shows 11-15 high card points and either a 6-card club suit or at least a 5-card club suit and a 4-card major suit). As such, it makes overcalls more difficult, since they have to be made at the two-level. Chances are therefore increased that the side of the opener has an undisturbed auction, and the opponents will not discover a fit in a major suit. However, as a corollary, their strong 1 opening bid is more susceptible to preempting by opponents.
First, the decision-maker may decline to explicitly rank any given undominated pair (thereby excluding it) on the grounds that at least one of the alternatives considered corresponds to an impossible combination of the categories on the criteria. Also, if the decision-maker cannot decide how to explicitly rank a given pair, she may skip it – and the pair may eventually be implicitly ranked as a corollary of other explicitly ranked pairs (via transitivity). Second, in order for all undominated pairs to be ranked, the decision-maker will usually be required to perform fewer pairwise rankings if some indicate indifference rather than strict preference. For example, if the decision-maker had ranked pair (i) above as _21~_12 (i.e.
The Babylonians were the first to realize that the Sun's motion along the ecliptic was not uniform, though they were unaware of why this was; it is today known that this is due to the Earth moving in an elliptic orbit around the Sun, with the Earth moving faster when it is nearer to the Sun at perihelion and moving slower when it is farther away at aphelion. In the 17th century, Johannes Kepler discovered that the orbits along which the planets travel around the Sun are ellipses with the Sun at one focus, and described this in his first law of planetary motion. Later, Isaac Newton explained this as a corollary of his law of universal gravitation.
Substantively, Marx argues that the prices of new products sold will, assuming free competition for an open market, tend to settle at an average level that enables at least a "normal" rate of profit on the capital invested to produce them, and, as a corollary, that if such a socially average rate of profit cannot be reached, it is much less likely that the products will be produced at all (because of comparatively unfavourable profitability conditions).Karl Marx, Theories of surplus value. Moscow: Progress Publishers, 1971, Part III, p. 83. Marx defines the "general rate of profit" as the (weighted) average of all the average profit rates in different branches of production - it is a "grand average" profit rate on production capital.
In medicine, describing a disease as acute denotes that it is of short duration and, as a corollary of that, of recent onset. The quantification of how much time constitutes "short" and "recent" varies by disease and by context, but the core denotation of "acute" is always qualitatively in contrast with "chronic", which denotes long-lasting disease (for example, in acute leukaemia and chronic leukaemia). In addition, "acute" also often connotes two other meanings: sudden onset and severity, such as in acute myocardial infarction (AMI), where suddenness and severity are both established aspects of the meaning. It thus often connotes that the condition is fulminant (as in the AMI example), but not always (as in acute rhinitis, which is usually synonymous with the common cold).
This was rejected by the American Government in favor of more economic-ideological approaches and the United States did not join the League. Additionally, there were even proposals of extending the Monroe Doctrine to Great Britain put forth to prevent a second conflagration on the European theater. Ultimately, the United States' proposals and actions did not stop the factors of European nationalism spawned by the previous war, the repercussions of Germany's defeat, and the failures of the Treaty of Versailles from plunging the globe into a Second World War.Keegan, John (1998), The First World War, Hutchinson, Between World War I and World War II, America also sought to continue to preserve Pax America as a corollary to the Monroe Doctrine.
As a corollary of this theorem, if an embedded planar graph has only one face whose number of sides is not 2 mod 3, and the remaining faces all have numbers of sides that are 2 mod 3, then the graph is not Hamiltonian. In this case, only the first face contributes to the mod-3 value of the sum, and it causes the sum to be nonzero. The factor of k − 2 in the contributions for the other faces causes their contributions to be zero mod 3. For instance, for the graph in the figure, all the bounded faces have 5 or 8 sides, but the unbounded face has 9 sides, so it satisfies this condition and is not Hamiltonian.
Let X be a compact Hausdorff space, and equip C(X) with the uniform norm, thus making C(X) a Banach space, hence a metric space. Then Arzelà–Ascoli theorem states that a subset of C(X) is compact if and only if it is closed, uniformly bounded and equicontinuous. This is analogous to the Heine–Borel theorem, which states that subsets of Rn are compact if and only if they are closed and bounded. As a corollary, every uniformly bounded equicontinuous sequence in C(X) contains a subsequence that converges uniformly to a continuous function on X. In view of Arzelà–Ascoli theorem, a sequence in C(X) converges uniformly if and only if it is equicontinuous and converges pointwise.
Semi-transitive orientations provide a powerful tool to study word-representable graphs. A directed graph is semi-transitively oriented iff it is acyclic and for any directed path u1→u2→ ...→ut, t ≥ 2, either there is no edge from u1 to ut or all edges ui → uj exist for 1 ≤ i < j ≤ t. A key theorem in the theory of word-representable graphs states that a graph is word-representable iff it admits a semi-transitive orientation . As a corollary to the proof of the key theorem one obtain an upper bound on word-representants: Each non-complete word-representable graph G is 2(n − κ(G))-representable, where κ(G) is the size of a maximal clique in G .
F.L. Cross, first edition (Oxford, 1958), 3rd edition (Oxford 1997). The Oxford Dictionary of the Christian Church which once said, in 1958 in its first edition, that Hebrew "ceased to be a spoken language around the fourth century BCE", now says, in its 1997 (third) edition, that Hebrew "continued to be used as a spoken and written language in the New Testament period". In the first half of the 20th century, most scholars followed Geiger and Dalman in thinking that Aramaic became a spoken language in the land of Israel as early as the beginning of Israel's Hellenistic Period in the 4th century BCE, and that as a corollary Hebrew ceased to function as a spoken language around the same time. Segal, Klausner and Ben Yehuda are notable exceptions to this view.
Piper's soteriology is Calvinist. and his ecclesiology is Baptist.. He affirms the distinctively Calvinist doctrine of double predestination, which includes "unconditional reprobation" or damnation as a corollary to the Augustinian doctrine of unconditional election, and he subscribes to the Leibnizian view that God decreed this universe to be the best of all possible universes.. Piper believes in justification by faith alone apart from works of man,. and his teachings emphasize the need for the active and inevitable perseverance of the believer in faith, sanctification, and enduring sufferings, which he believes is evidence of God's saving grace. According to Piper, a once-professing Christian who does not faithfully persevere until the end demonstrates that he was mistaken about his election and was never a true believer in the first place...
It was viewed as the best method to train reservists by mixing them with an existing regular unit to perform duties alongside the regular unit.Cantwell, p. 73 In June 1949, the division added the responsibility to train reservists to its mission, when the 66th Strategic Reconnaissance Group, was activated at McGuire Air Force Base, New Jersey and assigned to the division as a corollary unit of the 91st Strategic Reconnaissance Wing.Maurer, Combat Units, pp. 132-133 Despite adding two new wings in 1949, the 5th Strategic Reconnaissance Wing at Mountain Home Air Force Base, Idaho, and the 9th Strategic Reconnaissance Wing at Fairfield-Suisun Air Force Base, California, the wing was impacted by President Truman's reduced 1949 defense budget which required reductions in the number of units in the Air Force.
Buchholz has devised a number of economic theories and policy proposals, which have been presented in books, articles, and lectures: Law of Fertility, Prosperity, and Immigration In his book The Price of Prosperity, Buchholz shows that when a nation's annual average GDP rate exceeds 2.5 percent for two consecutive 25-year periods (two generations), the fertility rate will drop to just over the replacement level, that is, 2.5 children per female. If GDP continues to grow for a third consecutive generation, the fertility rate will tend to drop below 2.1 children per female and the population will require immigration to maintain a stable working population. As a corollary, if the fertility rate falls below the replacement rate, the nation will find it extraordinarily difficult to pay down accumulated debt.
Robert Hazell and Bob Morris pointed out that "the [other] realms were free to alter their constitutions without reference to the UK, but the UK could not do so on this occasion without seeking the realms' consent; the realms were relatively freer to alter their constitutions than was the UK itself" and that this inversion of the constitutional situation under imperialism was surprising to some. However, as a corollary, they pointed to Peter Boyce's earlier assertion in The Queen's Other Realms: The Crown and Its Legacy in Australia, Canada and New Zealand that the fact that the change in the succession was initiated by the United Kingdom government was a reminder to the other Commonwealth realms that "their crown is derivative, if not subordinate" to the crown of the United Kingdom.
As a corollary, the rise in power of the office of Prime Minister away from its historical position as primus inter pares (first amongst equals) of cabinet ministers in His/Her Majesty's Government into the driving force of a modern administration has led to governments named after them, and the two naming conventions serve different functions. For example, the reduction in the visibility of the monarch in government has made it an unhelpful description politically. If one were to critique the rail privatisation policy of the British Government during 1996 (for instance) it might not be considered helpful to use the phrase "Her Majesty's Government", since the Queen had no role in formulating the policy; instead the term "Major Government" is arguably more helpful, since the policy was driven by John Major.
Advantages of patient-controlled analgesia include self-delivery of pain medication, faster alleviation of pain because the patient can address pain with medication, and dosage monitoring by medical staff (dosage can be increased or decreased depending on need). With a PCA the patient spends less time in pain and as a corollary to this, patients tend to use less medication than in cases in which medication is given according to a set schedule or on a timer. Disadvantages include the possibility that a patient will use the pain medication non-medically, self-administering the narcotic for its euphoric properties even though the patient's pain is sufficiently controlled. If a PCA device is not programmed properly for the patient this can result in an under- dose or overdose in a medicine.
Every locally compact Hausdorff space is a Baire space. That is, the conclusion of the Baire category theorem holds: the interior of every union of countably many nowhere dense subsets is empty. A subspace X of a locally compact Hausdorff space Y is locally compact if and only if X can be written as the set-theoretic difference of two closed subsets of Y. As a corollary, a dense subspace X of a locally compact Hausdorff space Y is locally compact if and only if X is an open subset of Y. Furthermore, if a subspace X of any Hausdorff space Y is locally compact, then X still must be the difference of two closed subsets of Y, although the converse needn't hold in this case. Quotient spaces of locally compact Hausdorff spaces are compactly generated.
"But [news] is an illusion which, when we receive it, and when we extend to it our trust in its authority as a representation of the real, transports us from the relative isolation of our domestic environments, the parochialism of our streets and small towns, the crowded bustle of our big cities, to membership of virtual global communities, united in access to these events, communally experienced at this moment, through global communications networks. […] It is, indeed, more like the fear and exhilaration experienced by watching a movie on the big screen, but with an added viscerality contributed by the awareness that this scene, unlike a movie, is really happening, right now, to real people." As a corollary, global media culture may erode the uniqueness and cohesion of national cultures.Silverblatt & Zlobin, International Communications (2004), pp. 28–31.
Beast Boy has the ability to morph and transform into any animal that he has seen himself or has seen in an illustration (as is the case when he shapeshifts into an animal such as an extinct dinosaur or a funny animal). These transformations took only a second and Beast Boy has demonstrated that he is capable of rapidly changing his form with little or no effort expended. As a corollary to this power, he can transform back into his default form if an external force like magic transforms him into an animal. His power enables him to completely alter his body mass, being able to take the shape of animals far larger and heavier than himself, such as an elephant, a hippopotamus, or a Tyrannosaurus rex (though until recent stories, such larger forms would physically exhaust him), or smaller and lighter animals such as mice, arachnids and insects.
In size, the volume is slighter than Among the Millet — twenty-nine poems in contrast to forty-eight — and in quality fails to surpass the earlier work." (Lyrics does, though, contain some of Lampman's most beautiful poems, such as "After Rain" and "The Sun Cup.") "A third volume, Alcyone and other poems, in press at the time of his death" in 1899, showed Lampman starting to move in new directions, with the nature verses interspersed with philosophical poetry like "Voices of Earth" and "The Clearer Self" and poems of social criticism like "The City" and what may be his best-known poem, the dystopian vision of "The City of the End of Things." "As a corollary to his preoccupation with nature," notes the Gale Encyclopedia, "Lampman [had] developed a critical stance toward an emerging urban civilization and a social order against which he pitted his own idealism.
The theorem proved to be of very limited predictive value, as was demonstrated by what came to be known as the "Leontief Paradox" (the discovery that, despite its capital-rich factor endowment, America was exporting labour-intensive products and importing capital-intensive productsWassily Leontief, Domestic Production and Foreign Trade: The American Capital Position Re-examined Proceedings of the American Philosophical Society, vol. XCVII p332 September 1953) Nevertheless, the theoretical techniques (and many of the assumptions) used in deriving the H–O model were subsequently used to derive further theorems. The Stolper–Samuelson theorem, which is often described as a corollary of the H–O theorem, was an early example. In its most general form it states that if the price of a good rises (falls) then the price of the factor used intensively in that industry will also rise (fall) while the price of the other factor will fall (rise).
He still lectures occasionally at American war and intelligence colleges, like the National Intelligence University, Army Command and General Staff College, and the Naval Postgraduate School. In 1982, Andregg founded an educational, non-profit organization called Ground Zero Minnesota, which produced over 50 public television programs and sponsored about 5,000 educational programs in schools, churches, and civic groups on issues of peace and justice, many on the status and implications of weapons of mass destruction.For Young Activists, Peacemaking 101 by Tom Ford and Bob von Sternberg, Minneapolis Star Tribune, December 17th, 2002 He serves on the boards of the International Society for the Comparative Study of Civilizations, the United Nations Association of Minnesota, the Committee on Foreign Relations of Minnesota and is involved with many academic associations. As a corollary to his research on the causes of war, Andregg began studying the craft of intelligence-gathering, analysis, espionage and action focusing on intelligence reform.
Justice French found that there is indeed a prerogative power to prevent the entry of non-citizens into Australia, and as a corollary, the power to do various things that are necessary to prevent such an entry. He said that: > "The power to determine who may come into Australia is so central to its > [Australia's] sovereignty that it is not to be supposed that the Government > of the nation would lack the power conferred upon it directly by the > Constitution, the ability to prevent people not part of the Australia > community [sic], from entering." French said that this "gatekeeping" function had been recognised in a number of English cases, including an 1837 case concerning the power of the Governor of Mauritius to eject non-citizens, and a 1906 case concerning the deportation of foreign workers from Canada. French also decided that, although statutes are capable of replacing prerogative powers, the Migration Act had not replaced the prerogative power in this case.
Informally, this says that the probability of going from state 1 to state 3 can be found from the probabilities of going from 1 to an intermediate state 2 and then from 2 to 3, by adding up over all the possible intermediate states 2. When the probability distribution on the state space of a Markov chain is discrete and the Markov chain is homogeneous, the Chapman–Kolmogorov equations can be expressed in terms of (possibly infinite-dimensional) matrix multiplication, thus: :P(t+s)=P(t)P(s)\, where P(t) is the transition matrix of jump t, i.e., P(t) is the matrix such that entry (i,j) contains the probability of the chain moving from state i to state j in t steps. As a corollary, it follows that to calculate the transition matrix of jump t, it is sufficient to raise the transition matrix of jump one to the power of t, that is :P(t)=P^t.
Cabrera argues that there are epistemic injustices associated with the practice of philosophy in colonized contexts such as in Latin America. In a lecture in Unisinos University, Cabrera began to enunciate the problem of colonization in philosophy in a succinct and direct way: A central idea he came to defend is that the current status of philosophy in many Latin American countries is a product of the way philosophy is taught, researched, and written by local institutions that are subordinate to the international scene. Professional philosophy in these countries have been developed around commenting European (and, to a lesser extent, North American) philosophers, and this emphasis has developed as a corollary of the idea that philosophy is done only with reference to European philosophers and no Latin American is encouraged to challenge this hegemony. Alongside this inhibition of Latin American philosophy is the idea that what is European is universal while what is Latin American is merely local or national.
As a corollary, the government argued that the restrictions imposed by the FISC below were a misconstruction of the FISA provisions and "an end run around" the amendments added by the Patriot Act. The American Civil Liberties Union (ACLU) and the National Association of Criminal Defense Lawyers (NACDL) submitted amicus curiae briefs in support of the restrictions. The briefs argued primarily that the FISA statute (and the amendments of the Patriot Act) are unconstitutional under the Fourth Amendment unless they are construed to prohibit the government from obtaining a FISA surveillance order if its "primary purpose" is criminal prosecution. Among other things, the Court of Review found that FISA is constitutional, that the minimization requirements of FISA are not grounds to limit the purpose of the FISA application, and that FISA may be used to collect evidence for criminal prosecution. The Court also noted (but made no judgment regarding) "the President’s inherent constitutional authority to conduct warrantless foreign intelligence surveillance" which relates to part of the government justification in the NSA warrantless surveillance controversy.
Knowing of that historical precedent, as a corollary to the continuing vigilance of Steiner's watchdog group, the formation of the Society as a national non-profit membership organization was initiated by Rosar in 1983, and underwritten by soundtrack collector, Henry P. Adams. Its mandate was to seek out film music collections, whether at the studios or in the hands of composers, donate them to academic libraries, and make preservation copies of them to be placed in other repositories. Since its founding the Society has published a quarterly newsletter, The Cue Sheet, which reports its activities, and includes articles and interviews on film music topics. Rather like an invisible college, the Founding Board of Directors included a diverse group of individuals, who all shared knowledge and a common love for film music: A composer (Fred Steiner), a film journalist (Tony Thomas), a librarian (Linda Mehr of the Academy of Motion Picture Arts and Sciences Library), a motion picture music editor (George Korngold, also a record producer and son of film composer Erich Wolfgang Korngold), film historians (Rudy Behlmer, Clifford McCarty, and William H. Rosar), a performing arts programmer (Jay Alan Quantrill), and an attorney (Leslie Zador, son of film composer Eugene Zador).
Carlton also noted the contradiction in Churchill's grand strategy that called for the Soviet Union to do the bulk of the fighting and take the heaviest losses while at the same time he assumed that Britain would be able to step in when the time was right to stop the Red Army from moving west. Carlton noted that the fact that the Red Army did the majority of the fighting also allowed the Red Army to seize most of Eastern Europe in 1944–45. As a corollary to his "Mediterranean strategy", Churchill supported plans for a post-war federation of Austria and Hungary as a way to limit Soviet influence in Eastern Europe, favoring a magnanimous peace with the Hungarians. Churchill was notably reluctant to declare war on Hungary, and only did so under heavy Soviet pressure. In 1942, treaties had been signed by the governments-in-exile for a post-war federation uniting Yugoslavia and Greece, and another federation uniting Poland and Czechoslovakia; Churchill had hopes that the proposed Austro-Hungarian federation would serve as the link for an Eastern European super-state stretching from the Baltic to the Mediterranean that would place much of Eastern Europe in the Western sphere of influence.

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