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.

---

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 +…

---

power series Scientific  

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

---

Etymology

Origin of power series

First recorded in 1890–95

Example Sentences

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

From Textbooks • Mar. 30, 2016

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

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

From Textbooks • Mar. 30, 2016

Therefore, if a function f has a power series at a, then it must be the Taylor series for f at a.

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