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proof by analysis

См. также в других словарях:

  • Proof theory — is a branch of mathematical logic that represents proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as inductively defined data structures such as plain lists, boxed… …   Wikipedia

  • Proof by exhaustion — Proof by exhaustion, also known as proof by cases, perfect induction, or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases, and each case is proved separately. A… …   Wikipedia

  • Proof checking — is the process of using software for checking proofs for correctness. It is one of the most developed fields in automated reasoning.ee also*Model checking *Abstract interpretation *Static code analysis *Automated theorem proving *Symbolic… …   Wikipedia

  • analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

  • Proof mining — In proof theory (a branch of mathematical logic), proof mining is a research program [cite book title = Applied Proof Theory: Proof Interpretations and Their Use in Mathematics author = Ulrich Kohlenbach publisher = Springer Verlag, Berlin year …   Wikipedia

  • Proof that π is irrational — Although the mathematical constant known as pi; (pi) has been studied since ancient times, and so has the concept of irrational number, it was not until the 18th century that π was proved to be irrational.In the 20th century, proofs were found… …   Wikipedia

  • Proof test — A proof test is a test wherein a deliberately overpressured round is fired from a firearm in order to verify that the firearm is not defective and will not explode on firing. The firearm is inspected after the test, and if it is found to be in… …   Wikipedia

  • Proof that holomorphic functions are analytic — In complex analysis, a field of mathematics, a complex valued function f of a complex variable z *is holomorphic at a point a iff it is differentiable at every point within some open disk centered at a , and* is analytic at a if in some open disk …   Wikipedia

  • analysis — noun (plural analyses) Etymology: New Latin, from Greek, from analyein to break up, from ana + lyein to loosen more at lose Date: 1581 1. separation of a whole into its component parts 2. a. the i …   New Collegiate Dictionary

  • Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… …   Wikipedia

  • Statistical proof — The term statistical proof has several uses, both technically and colloquially. * Data analysis and statistics mdash; When mathematical statistics is used to provide a mathematical proof of a proposition regarding the probability of data under… …   Wikipedia

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