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The cooper test which was designed by Kenneth H. Cooper in 1968 for US military use is a physical fitness test. [1] [2] [3] In its original form, the point of the test is to run as far as possible within 12 minutes. Pacing is important, as the participant will not cover a maximal distance if they begin with a pace too close to an all out sprint.
However, transitivity will generally hold for a large number of comparisons if models such as the BTL can be effectively applied. Using a transitivity test [ 2 ] one can investigate whether a data set of pairwise comparisons contains a higher degree of transitivity than expected by chance.
The programme, chaired by Joseph Cooper, [2] took the form of a quiz, with a panel of three music-loving celebrities, but without scoring or any winner. Each week there would be a special guest, who would also have to answer questions – with the focus being on topics that related to the guest's life and career, so as to lead to amusing anecdotes.
If strategy A beats strategy B, B beats C, and C beats A, then the binary relation "to beat" is intransitive, since transitivity would require that A beat C. The terms "transitive game" or "intransitive game" are not used in game theory. A prototypical example of an intransitive game is the game rock, paper, scissors.
Alternatively, transitivity is where the individual weakly prefers option A over B and weakly prefers option B over C, leading to the conclusion that the individual weakly prefers A over C. The rational agent will then perform their own cost–benefit analysis using a variety of criterion to perform their self-determined best choice of action.
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In physics, the Bardeen–Cooper–Schrieffer (BCS) theory (named after John Bardeen, Leon Cooper, and John Robert Schrieffer) is the first microscopic theory of superconductivity since Heike Kamerlingh Onnes's 1911 discovery. The theory describes superconductivity as a microscopic effect caused by a condensation of Cooper pairs.
Axiom (Transitivity): For every , and with and we must have . Independence of irrelevant alternatives pertains to well-defined preferences as well. It assumes that two gambles mixed with an irrelevant third one will maintain the same order of preference as when the two are presented independently of the third one.