Integral proof

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Integral proof
Интегральный корректурный оттиск.

Краткий толковый словарь по полиграфии. 2010.

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• Proof that 22/7 exceeds π — Proofs of the famous mathematical result that the rational number 22⁄7 is greater than π date back to antiquity. What follows is a modern mathematical proof that 22⁄7 > π, requiring only elementary techniques from calculus. The purpose is not… …   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

• Integral element — In commutative algebra, an element b of a commutative ring B is said to be integral over its subring A if there are such that That is to say, b is a root of a monic polynomial over A.[1] If B consists of elements that are integral over A, then B… …   Wikipedia

• Integral test for convergence — In mathematics, the integral test for convergence is a method used to test infinite series of non negative terms for convergence. An early form of the test of convergence was developed in India by Madhava in the 14th century, and by his followers …   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

• Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

• Integral de Lebesgue — La integral de una función no negativa puede ser interpretada como el área bajo la curva. En matemática, la integración de una función no negativa (por considerar el caso más simple) puede considerarse como el área entre la gráfica de una curva y …   Wikipedia Español

• Proof that the sum of the reciprocals of the primes diverges — In the third century BC, Euclid proved the existence of infinitely many prime numbers. In the 18th century, Leonhard Euler proved a stronger statement: the sum of the reciprocals of all prime numbers diverges. Here, we present a number of proofs… …   Wikipedia

• Integral representation theorem for classical Wiener space — In mathematics, the integral representation theorem for classical Wiener space is a result in the fields of measure theory and stochastic analysis. Essentially, it shows how to decompose a function on classical Wiener space into the sum of its… …   Wikipedia

• Cauchy's integral formula — In mathematics, Cauchy s integral formula, named after Augustin Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary… …   Wikipedia

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