power series

American  

noun

Mathematics.

1. 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.

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power series British  

noun

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

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power series Scientific  

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

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Etymology

Origin of power series

First recorded in 1890–95

Example Sentences

See Examples For:

power series

In this section we define power series and show how to determine when a power series converges and when it diverges.

From Textbooks ● Mar. 30, 2016

For simplicity, we state the theorem for power series centered at x = 0.

From Textbooks ● Mar. 30, 2016

A power series is a type of series with terms involving a variable.

From Textbooks ● Mar. 30, 2016

In this section we discuss how power series can be combined, differentiated, or integrated to create new power series.

From Textbooks ● Mar. 30, 2016

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

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 3 "Frost" to "Fyzabad" by Various