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Church-Rosser theorem (797 bytes)
1: In [[mathematical logic]], the '''Church-Rosser theorem''' states that, in the [[lambda calculus]], 2: ...t most one [[normal form]]. More formally, the '''Church-Rosser property''' states that the [[Typed lambda calcul... 4: ...forms will be identical. It is the Church-Rosser theorem that justifies references to "''the'' normal form... 6: The theorem was proved in 1937 by [[Alonzo Church]] and [[J. ... 10: [[Category:Theorems]] Rosser (218 bytes) J. Barkley Rosser (1058 bytes) 1: ...]], and known for his part in the [[Church-Rosser theorem]], in [[lambda calculus]]. He also developed what... 3: ...tronger version of [[Gödel's first incompleteness theorem]], showing that the requirement for <math>\omega<... Rosser Reeves (2730 bytes) Rosser, Texas (2613 bytes) Church lads and church girls brigade (1205 bytes) Church militant and church triumphant (1270 bytes) Theorem (2593 bytes) 1: ...a central activity of [[mathematics]]. Note that 'theorem' is distinct from '[[theory]]'. 3: ...on as a ''theorem'' is not considered part of the theorem. 5: ...teresting or important in some way to be called a theorem. Less important statements are called: 6: ...ithout going on to use that result in any "major" theorem. 7: ...position ''A'' is a corollary of a proposition or theorem ''B'' if ''A'' can be deduced quickly and easily ... No-go theorem (225 bytes) 1: ...eoretical physics]], a '''no-go theorem''' is a [[theorem]] that shows that an idea is not possible even th... 3: The [[Coleman-Mandula theorem]] is an example. H-theorem (800 bytes) 1: In [[thermodynamics]], the '''H-theorem''' describes the increase of [[entropy]] of an [[... 11: This theorem is based on Boltzmann's assumption of "molecular... 13: ...hmidt's paradox]] - is found in the [[Fluctuation Theorem]]. Mean value theorem (6458 bytes) 2: [[Category:Theorems]] 3: ...alue Theorem]] In [[calculus]], the '''mean value theorem''' states, roughly, that given a section of a smo... 5: ...ean value theorem can be used to prove [[Taylor's theorem]], of which it is a special case. 7: More precisely, the theorem states: for some [[Continuous function|continuall... 12: '''Generalization:''' The theorem is usually stated in the form above, but it is ac... Extreme value theorem (646 bytes) 1: In [[calculus]], the '''extreme value theorem''' states that if a function ''f''(''x'') is [[C... 7: ... extreme value theorem is used to prove [[Rolle's theorem]]. 10: ....org/fta/fta_note.shtml A Proof for extreme value theorem] 13: [[Category:Theorems]] Marriage theorem (2387 bytes) 1: In [[mathematics]], the '''marriage theorem''', usually credited to mathematician [[Phillip H... 9: The marriage theorem then states that there exists a set of distinct r... 11: ... at this point) of an application of the marriage theorem is to imagine two groups of ''n'' men and women. ... 15: ...3 piles of 4 cards each. Then, using the marriage theorem, we can show that it is possible to select exactl... 17: ...a finite [[subgroup]] of ''G''. Then the marriage theorem can be used to show that there is a set ''X'' suc... Equipartition theorem (1600 bytes) 1: The '''Equipartition Theorem''' is a principle of classical (non-[[Quantum mec... 3: ...mple, in [[thermodynamics]], the '''equipartition theorem''' says that the mean [[internal energy]] associa... 11: ...it of an energy [[continuum]]. The equipartition theorem breaks down in the limit of large gaps between qu... Thales' theorem (2634 bytes) 1: In [[geometry]], '''Thales' theorem''' (named after [[Thales]] of Miletus) states tha... 4: [[Image:thales-theorem.png]] 44: The converse of Thales' theorem is also true. It states that if you have a [[righ... 46: The theorem and its converse can be expressed as follows: 51: ...hales' theorem is a special case of the following theorem: given three points A, B and C on a circle with c... Virial theorem (3455 bytes) 3: The '''virial theorem''' states that the average [[kinetic energy]] of ... 9: ...f the force is derivable from a [[potential]] the theorem becomes, 17: then the virial theorem can be written as 21: ...nverse square law forces (i.e. n=-2), the virial theorem states: 30: ... obeys an inverse square law relation, the virial theorem is a remarkably useful simplifying result for oth... Well-ordering theorem (1077 bytes) 2: The '''well-ordering theorem''' (not to be confused with the [[well-ordering a... 6: ...rem. It turned out though, that the well-ordering theorem is equivalent to the axiom of choice, in the sens... Künneth theorem (3692 bytes) 1: In [[mathematics]], the '''Künneth theorem''' of [[algebraic topology]] describes the [[sing... 23: ...' × ''Y''). The statement of the '''Künneth theorem''', when ''R'' is a field, is that this linear ma... 41: ...f of the result depends on the [[Eilenberg-Zilber theorem]]. Descartes' theorem (5514 bytes) 1: ...ing''', or mutually [[tangent]], [[circle]]s. The theorem can be used to construct a fourth circle tangent ... 7: ...tion (1) below, and thus attached his name to the theorem. 9: ...ture'']] (June 20, 1936). Soddy also extended the theorem to spheres. 14: Descartes' theorem is most easily stated in terms of the circles' [[... 18: ...le with curvature ''k'' = 0, Descartes' theorem also applies to a line and two circles that are a... Ultraparallel theorem (1743 bytes) 1: In [[hyperbolic geometry]], the '''Ultraparallel theorem''' states that every pair of ultraparallel
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