# power series

an infinite series in which the terms are coefficients times successive powers of a given variable, or times products of powers of two or more variables.

## Origin of power series

^{1}

## Words Nearby power series

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2024

## How to use power series in a sentence

The

*power series*represents a continuous function in its domain of convergence (the end-points may have to be excluded).The theory of

*power series*has been developed chiefly from the point of view of the theory of functions of complex variables.A

*power series*converges uniformly in any interval contained within its domain of convergence, the end-points being excluded.Thus we may make the power-series commence with 1, if we make the index-series commence with 0.

## British Dictionary definitions for power series

a mathematical series whose terms contain ascending positive integral powers of a variable, such as a 0 + a 1 x + a 2 x ² +…

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for power series

A sum of successively higher integral powers of a variable or combination of variables, each multiplied by a constant coefficient.

The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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