power series

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power series

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

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

power series

(Mathematics) a mathematical series whose terms contain ascending positive integral powers of a variable, such as a0 + a1x + a2x² +…

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

pow′er se`ries

Math. 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.

[1890–95]

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Noun

power series - the sum of terms containing successively higher integral powers of a variable

series - (mathematics) the sum of a finite or infinite sequence of expressions

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His topics include fluid mechanics and the shock development problem, initial data and derived data, the power series approximation method, top-order estimates for transformation functions and next-to-top-order acoustical estimates, and top-order energy estimates.

The Shock Development Problem

Also, for the multi-mode diode-based lasers of the BrixX High Power series, higher optical output powers are now available.

Omicron-Laserage Laserprodukte

The RPSM was produced as an efficient method for definite worths of coefficients of the power series solution for fuzzy differential equations (Arqub, 2013).

On comparison of approximate solutions for linear and nonlinear schrodinger equations

A number of techniques use power series with fractional powers to construct solutions to fractional differential equations.

An Operator-Based Approach for the Construction of Closed-Form Solutions to Fractional Differential Equations

In an essay for New York magazine's Women and Power series, the 51-year-old revealed the relationship helped her avoid becoming a victim of sexual harassment.

Marriage to Tom kept Hollywood predators away; Nicole: It was for protection

These are--$32 million power revenue bonds, series 2015A (Green Bonds); --$7.5 million power revenue bonds, series 2015B; and--Up to $90 million CP notes (power series) series A-1 (bank notes).

Fitch Ratings affirms its 'AA-' rating on San Francisco Public Utilities Commission bonds

The main motivation of this article is to construct not only new formulas for special power series representations involving the Lyndon words counting numbers and the Apostol-type numbers and polynomials but also algorithms for the numerical computations using these formulas.

NUMERICAL EVALUATION OF SPECIAL POWER SERIES INCLUDING THE NUMBERS OF LYNDON WORDS: AN APPROACH TO INTERPOLATION FUNCTIONS FOR APOSTOL-TYPE NUMBERS AND POLYNOMIALS

Increasing the number of terms in the power series does not increase the radius of convergence; it only makes the divergence sharper.

Convergent Power Series of sech(x) and Solutions to Nonlinear Differential Equations

A general quantum state is a linear combination of such vectors, so we can write it as a power series

Quantum Techniques for Reaction Networks

The residual power series method (RPS), proposed by Abu Arqud in [13], is an efficient and easy method for constructing power series solutions of differential equations without linearization, perturbation, or discretization.

Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients

Fans of characters with super powers also might try Kelley Armstrong's Darkest Power series.--Edward Goldberg.