# power series

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## power series

*n.*

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

## power series

*n*

(Mathematics) a mathematical series whose terms contain ascending positive integral powers of a variable, such as

*a*0 +*a*1*x*+*a*2*x*^{2}+…## pow′er se`ries

*n.*

*Math.*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.

[1890–95]

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Noun | 1. | power series - the sum of terms containing successively higher integral powers of a variableseries - (mathematics) the sum of a finite or infinite sequence of expressions |

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