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

Second, we show how power series can be used to evaluate integrals when the antiderivative of the integrand cannot be expressed in terms of elementary functions.

From Textbooks • Mar. 30, 2016

For a power series centered at x = a, the value of the series at x = a is given by c0.

From Textbooks • Mar. 30, 2016

In the preceding section on power series and functions we showed how to represent certain functions using power series.

From Textbooks • Mar. 30, 2016

Being able to multiply two power series provides another way of finding power series representations for functions.

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