decimal expansion
31Rounding — This article is about numerical rounding. For lip rounding in phonetics, see Labialisation. For other uses, see Rounding (disambiguation). Rounding a numerical value means replacing it by another value that is approximately equal but has a… …
32Constructive proof — In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object with certain properties by creating or providing a method for creating such an object. This is in contrast to a nonconstructive… …
33analysis — /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… …
34piem — n. A poem in which the length of each word corresponds to a digit in the decimal expansion of the mathematical constant pi. [Pi + poem.] Example Citations: People have devised any number of methods to help them remember well more than ten digits …
35Construction of the real numbers — In mathematics, there are several ways of defining the real number system as an ordered field. The synthetic approach gives a list of axioms for the real numbers as a complete ordered field. Under the usual axioms of set theory, one can show that …
36Long division — For the album by Rustic Overtones, see Long Division.In arithmetic, long division is the standard procedure suitable for dividing simple or complex multidigit numbers. It breaks down a division problem into a series of easier steps. As in all… …
37Rational number — In mathematics, a rational number is any number that can be expressed as the quotient or fraction a/b of two integers, with the denominator b not equal to zero. Since b may be equal to 1, every integer is a rational number. The set of all… …
38Lochs' theorem — In number theory, Lochs theorem is a theorem concerning the rate of convergance of the continued fraction expansion of a typical real number. The theorem was proved by G. Lochs in 1964. [Lochs, G. Abh. Hamburg Univ. Math. Sem. 27, 142 144, 1964]… …
397 (number) — Seven redirects here. For other uses, see Seven (disambiguation). 7 −1 0 1 2 3 4 5 6 7 8 9 → List of numbers Integers …
40Leibniz formula for pi — See Leibniz formula for other formulas known under the same name. In mathematics, the Leibniz formula for pi;, named after Gottfried Leibniz, states that:1 , , frac{1}{3} ,+, frac{1}{5} , , frac{1}{7} ,+, frac{1}{9} , , cdots ;=; frac{pi}{4}.!The …
