method of infinite descent

method of infinite descent
метод бесконечного спуска

English-Russian scientific dictionary. 2008.

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  • Infinite descent — In mathematics, a proof by infinite descent is a particular kind of proof by contradiction which relies on the fact that the natural numbers are well ordered. One typical application is to show that a given equation has no solutions. Assuming a… …   Wikipedia

  • Descent — Not to be confused with Dissent. Descent may refer to: In genealogy and inheritance: Common descent, concept in evolutionary biology Kinship and descent, one of the major concepts of cultural anthropology Pedigree chart or family tree Ancestry… …   Wikipedia

  • Gradient descent — For the analytical method called steepest descent see Method of steepest descent. Gradient descent is an optimization algorithm. To find a local minimum of a function using gradient descent, one takes steps proportional to the negative of the… …   Wikipedia

  • Conjugate gradient method — A comparison of the convergence of gradient descent with optimal step size (in green) and conjugate vector (in red) for minimizing a quadratic function associated with a given linear system. Conjugate gradient, assuming exact arithmetic,… …   Wikipedia

  • Newton's method — In numerical analysis, Newton s method (also known as the Newton–Raphson method), named after Isaac Newton and Joseph Raphson, is a method for finding successively better approximations to the roots (or zeroes) of a real valued function. The… …   Wikipedia

  • Mathematical induction — can be informally illustrated by reference to the sequential effect of falling dominoes. Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers (positive… …   Wikipedia

  • Number theory — A Lehmer sieve an analog computer once used for finding primes and solving simple diophantine equations. Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers (the… …   Wikipedia

  • List of mathematics-based methods — This is a list of mathematics based methods, by Wikipedia page.See also list of graphical methods.*Adams method (differential equations) *Akra Bazzi method (asymptotic analysis) *Condorcet method (voting systems) *Coombs method (voting systems)… …   Wikipedia

  • Fermat's Last Theorem — is the name of the statement in number theory that:: It is impossible to separate any power higher than the second into two like powers,or, more precisely:: If an integer n is greater than 2, then the equation a^n + b^n = c^n has no solutions in… …   Wikipedia

  • Well-ordering principle — In mathematics, the well ordering principle states that every non empty set of positive integers contains a smallest element. [cite book |title=Introduction to Analytic Number Theory |last=Apostol |first=Tom |authorlink=Tom M. Apostol |year=1976… …   Wikipedia

  • Fermat, Pierre de — born Aug. 17, 1601, Beaumont de Lomagne, France died Jan. 12, 1665, Castres French mathematician. Of Basque origin, Fermat studied law at Toulouse and developed interests in foreign languages, Classical literature, ancient science, and… …   Universalium


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