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# power series

## noun

,

*Mathematics.*- 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.

power series

## noun

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

power series

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

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## Word History and Origins

Origin of power series^{1}

First recorded in 1890–95

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## Example Sentences

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

From Project Gutenberg

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

From Project Gutenberg

A power series converges uniformly in any interval contained within its domain of convergence, the end-points being excluded.

From Project Gutenberg

Thus we may make the power-series commence with 1, if we make the index-series commence with 0.

From Project Gutenberg

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