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This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value {} denotes the fractional part of () is a Bernoulli polynomial.
In calculus, the racetrack principle describes the movement and growth of two functions in terms of their derivatives.. This principle is derived from the fact that if a horse named Frank Fleetfeet always runs faster than a horse named Greg Gooseleg, then if Frank and Greg start a race from the same place and the same time, then Frank will win.
List of mathematical spaces; List of spherical symmetry groups; List of textbooks in thermodynamics and statistical mechanics; List of statistics articles; List of important publications in statistics; Outline of statistics; List of string theory topics; Sum of squares; Sums of powers; List of sums of reciprocals; Table of mathematical symbols ...
A mathematical statement amounts to a proposition or assertion of some mathematical fact, formula, or construction. Such statements include axioms and the theorems that may be proved from them, conjectures that may be unproven or even unprovable, and also algorithms for computing the answers to questions that can be expressed mathematically.
1.1 Mathematics. 1.2 Physics. 1.3 Chemistry. 1.4 Biology. ... This is a list of equations, ... Kirchhoff's diffraction formula;
Grouping its elements in pairs starting after the first creates the series + (+) + (+) + = + + +, which has partial sums equal to one for every term and thus sums to one, a different result. In general, grouping the terms of a series creates a new series with a sequence of partial sums that is a subsequence of the partial sums of the original ...
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various types, many symbols are needed for ...
List of mathematical functions; List of mathematical identities; List of mathematical proofs; List of misnamed theorems; List of scientific laws; List of theories; Most of the results below come from pure mathematics, but some are from theoretical physics, economics, and other applied fields.