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exhaustion, method of

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  • exhaustion, method of — ▪ mathematics       in mathematics, technique invented by the classical Greeks to prove propositions regarding the areas and volumes of geometric figures. Although it was a forerunner of the integral calculus, the method of exhaustion used… …   Universalium

  • Exhaustion — Ex*haus tion, n. [Cf. F. exhaustion.] 1. The act of draining out or draining off; the act of emptying completely of the contents. [1913 Webster] 2. The state of being exhausted or emptied; the state of being deprived of strength or spirits. [1913 …   The Collaborative International Dictionary of English

  • Method of exhaustion — This article is about the method of finding the area of a shape using limits. For the method of proof, see Proof by exhaustion. The method of exhaustion (methodus exhaustionibus, or méthode des anciens) is a method of finding the area of a shape… …   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

  • IPv4 address exhaustion — IP address exhaustion refers to the decreasing supply of unallocated IPv4 addresses. This depletion has been a concern since the 1980s when the Internet started to experience dramatic growth. As a result, this has been the driving factor in… …   Wikipedia

  • The Method of Mechanical Theorems — is a work by Archimedes which contains the first attested explicit use of infinitesimals.[1] The work was originally thought to be lost, but was rediscovered in the celebrated Archimedes Palimpsest. The palimpsest includes Archimedes account of… …   Wikipedia

  • null method — Zero e ro, n.; pl. {Zeros}or {Zeroes}. [F. z[ e]ro, from Ar. [,c]afrun, [,c]ifrun, empty, a cipher. Cf. {Cipher}.] [1913 Webster] 1. (Arith.) A cipher; nothing; naught. [1913 Webster] 2. The point from which the graduation of a scale, as of a… …   The Collaborative International Dictionary of English

  • Zero method — Zero e ro, n.; pl. {Zeros}or {Zeroes}. [F. z[ e]ro, from Ar. [,c]afrun, [,c]ifrun, empty, a cipher. Cf. {Cipher}.] [1913 Webster] 1. (Arith.) A cipher; nothing; naught. [1913 Webster] 2. The point from which the graduation of a scale, as of a… …   The Collaborative International Dictionary of English

  • 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

  • geometry — /jee om i tree/, n. 1. the branch of mathematics that deals with the deduction of the properties, measurement, and relationships of points, lines, angles, and figures in space from their defining conditions by means of certain assumed properties… …   Universalium

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

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