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corollary and was
After the success of vaccination in preventing smallpox, scientists thought to find a corollary in tuberculosis by drawing a parallel between bovine tuberculosis and cowpox: It was hypothesized that infection with bovine tuberculosis might protect against infection with human tuberculosis.
In the editorial notes of his compendium Portraits by Sir Joshua Reynolds, Hilles theorizes that " as a corollary one might say that he was somewhat lacking in a capacity for love ", and cites Boswell's notary papers: " He said the reason he would never marry was that every woman whom he liked had grown indifferent to him, and he had been < u > glad </ u > he did not marry her.
The pope sat briefly on two " pierced chairs " at the Lateran: "... the vulgar tell the insane fable that he is touched to verify that he is indeed a man " a sign that this corollary of the Pope Joan legend was still current in the Roman street.
a revolution in religion was the natural corollary, even prerequisite, of a fully successful political revolution.
This policy of parliamentary procedure was based on the assumption of the political equality of every " gentleman ", with the corollary that unanimous consent was needed for all measures The Commonwealth could never be liquidated unless its longtime ally, Austria, allowed it, and first Catherine had to use diplomacy to win Austria to her side.
In fact there was an eighth province, i. e. 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 corollary to the idealism embraced by the Republicans in the realm of diplomatic public policy debate was thus political terror.
The Monroe Doctrine and Manifest Destiny were closely related ideas: historian Walter McDougall calls Manifest Destiny a corollary of the Monroe Doctrine, because while the Monroe Doctrine did not specify expansion, expansion was necessary in order to enforce the Doctrine.
Most historians, such as one of Roosevelt ’ s many biographers Howard K. Beale have summarized that the corollary was influenced by Roosevelt ’ s personal beliefs as well as his connections to foreign bondholders.
At the same time he wished to open membership of the House of Commons to Catholic men of property, a proposal that was the logical corollary of the Relief Act of 1793.
Miranda was undermined by several subsequent decisions which seemed to grant several exceptions to the " Miranda warnings ," undermining its claim to be a necessary corollary of the Fifth Amendment.
The term " conspicuous consumption " spread to describe consumerism in the United States in the 1960s, but was soon linked to debates about media theory, culture jamming, and its corollary productivism.
Razin proclaimed that his object was to root out the boyars and all officials, to level all ranks and dignities, and establish Cossackdom, with its corollary of absolute equality, throughout Muscovy.
In the treaty which partitioned Poland there was a secret clause which engaged the contracting powers to uphold the existing Swedish constitution as the swiftest means of subverting Swedish independence ; and an alliance with the credulous Caps, " the Patriots " as they were called at Saint Petersburg, guaranteeing their constitution, was the corollary to this secret understanding.
The Roosevelt Corollary is a corollary to the Monroe Doctrine that was articulated by President Theodore Roosevelt in his State of the Union Address in 1904.
When this rule is applied to criminal process ( whether or not that was done in Roman law itself ), it places the burden of proof upon the accuser, which has the corollary that the accused is presumed to be innocent.
For Bellamy and the Fabian Socialists, socialism was to be brought about as a painless corollary of industrial development.
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.

corollary and at
The historical definition differs from the length-based standard in that a minute of arc, and hence a nautical mile, is not a constant length at the surface of the Earth but gradually lengthens in the north-south direction with increasing distance from the equator, as a corollary of the Earth's oblateness, hence the need for " mean " in the last sentence of the previous paragraph.
For Newton, " the common centre of gravity of the Earth, the Sun and all the Planets is to be esteem'd the Centre of the World " ( Proposition 12, corollary ), and that this centre " either is at rest, or moves uniformly forward in a right line " ( Proposition 11 & preceding Hypothesis ).
** As a corollary, the function would be single-valued, else multiple probabilities occur at the same position and time, again unphysical.
* corollary at dictionary. com
This has the corollary that the comparative growth of knowledge is inversely propositional to the volume of information already at hand, so that when information grows exponentially, knowledge will grow at a merely linear rate.
Kirchhoff's Law has another corollary: the emissivity cannot exceed one ( because the absorptivity cannot, by conservation of energy ), so it is not possible to thermally radiate more energy than a black body, at equilibrium.
Despite the title, most of the article is on Dijkstra ’ s attempt to put computer science into a wider perspective within science, teaching being addressed as a corollary at the end.
As a corollary, some LDS writers argue that at the end times, the earth will be plucked from the solar system and returned to its original orbit near Kolob.
He begins by asserting that each individual, at a minimum, " owns " himself ; this is a corollary of each individual's being free and equal in the state of nature.
However, many Sailor Moon fans disliked the " Americanization " of the two series by the addition of slang words ( such as " fine " or " buggin '") with no corollary in the Japanese series, as well as incorrect or inconsistent attack and transformation phrases being used at times.
The 66th Reconnaissance ( later, Strategic Reconnaissance ) Group, was a part of Strategic Air Command ( SAC ) from July 1947 – May 1951, at Barksdale AFB, Louisiana as an Air Force Reserve corollary unit under the guidance of active duty units in order to train and maintain currency in reconnaissance operations for its reserve personnel.
The Miami Dolphins had cut him after the 1992 season largely because a corollary of this filing would have meant he could have become a free agent and left Miami at any point of the following season, but he continued to play professionally until 1998 and later became marketing and development director for Backfield in Motion, a non-profit group mixing athletics and academics to help inner city boys.
* As a corollary, it is executed at query time, not at indexing time, with the associated hit on performance that accompanies query-time processing.
A corollary is that inside a solid sphere of constant density the gravitational force varies linearly with distance from the centre, becoming zero by symmetry at the centre of mass.
The corollary in capitalist production is the free movement ( or at least mobility ) of labour and capital among branches of industry, in other words that capital and labour can be traded and shifted around fairly freely ( in pre-capitalist societies, such factor mobility was usually not possible ).
Substantively, Marx argues that the prices of new products sold will, assuming free competition for an open market, usually tend to settle at an average level which 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 ( because of comparatively unfavourable profitability conditions ).
The fact that the self-interested action evokes this conflict, often implies that the tendency to use opportunities to advantage is excessive or improper, the corollary being a deficiency of character or at least a lack of propriety.

corollary and least
Other extremal principles of classical mechanics have been formulated, such as Gauss ' principle of least constraint and its corollary, Hertz's principle of least curvature.

corollary and by
The impact of noncompliance under the Wagner-Peyser Act is clear: the withdrawal of some $11 million a year of administrative funds which finance our employment service program or, as a corollary, the taking over by the Federal Government of its operation.
A corollary of Artin's theorem is that alternative algebras are power-associative, that is, the subalgebra generated by a single element is associative.
The most important open question in complexity theory, the P = NP problem, asks whether polynomial time algorithms actually exist for NP-complete, and by corollary, all NP problems.
In this world view, the Mishnaic and Talmudic rabbis are closer to the Divine revelation ; by corollary, one must be extremely conservative in changing or adapting Jewish law.
A consequence of the Jacobson density theorem is Wedderburn's theorem ; namely that any right artinian simple ring is isomorphic to a full matrix ring of n by n matrices over a division ring for some n. This can also be established as a corollary of the Artin – Wedderburn theorem.
As a corollary, in such policy advertising campaigns, the comparison of " domestic " gun casualties is usually not accompanied by murder and assault prosecution numbers stemming from the shootings occurring in that context.
The corollary is proved by letting be a function that gives an index for.
The corollary to this is that, by definition, failure to conceive in women under 35 isn't regarded with the same urgency as it is in those over 35.
As a corollary, they also rejected proposals to confer on the General Assembly the power to impose certain general conventions on states by some form of majority vote.
This brain mechanism is proposed to involve the production of a parallel " efference copy " signal that is sent directly to the somatic sensory regions and is transformed into a " corollary discharge ," an expected afferent signal from the periphery that would result from the performance driven by the issued efferent signal.
The taking of power by Stalin's faction had its corollary in the establishment of an official art: on 23 April 1932, headed by Stalin, an organisation formed by the central committee of the Communist Party developed the Union of Soviet Writers.
" Would-be plaintiffs cannot deliver unordered goods or services and demand payment for the benefit .... A corollary is that one who does have an enforceable contract is bound by the contract's terms: subject to a few controversial exceptions, she cannot sue for restitution of the value of benefits conferred ..." < ref name = Laycock > Douglas Laycock, < i > Modern American Remedies < i >, 3rd edition ( 2002 ) pg.
However, there are other corollary differences resulting from the justifications implied by that main conceit.
This corollary is sometimes expressed by saying that second-order logic does not admit a complete proof theory.
As a corollary, he noted that, since this growth rate is slower than that predicted by Moore's Law of processor power, user experience would remain bandwidth-bound.

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