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

Therefore, the power series diverges at x = 5.

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

The ratio test will be especially useful in the discussion of power series in the next chapter.

From Textbooks ● Mar. 30, 2016

Next we consider functions involving an expression similar to the sum of a geometric series and show how to represent these functions using power series.

From Textbooks ● Mar. 30, 2016

A polar point of indetermination is a point about which the function can be expressed as a quotient of two converging power series, both of which vanish at the point.

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