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

This fact should not seem surprising if we think of power series as polynomials with an infinite number of terms.

From Textbooks • Mar. 30, 2016

To determine the interval of convergence for a power series, we typically apply the ratio test.

From Textbooks • Mar. 30, 2016

In the next example, we show how to use Combining Power Series and the power series for a function f to construct power series for functions related to f.

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 multiplier of e−tx under the sign of integration can be expanded in the power series B1 − B2 t2 + B3 t4 − ...,

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