power series


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power series

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

power series

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

pow′er se`ries


n.
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]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.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.
Also, for the multi-mode diode-based lasers of the BrixX High Power series, higher optical output powers are now available.
The RPSM was produced as an efficient method for definite worths of coefficients of the power series solution for fuzzy differential equations (Arqub, 2013).
A number of techniques use power series with fractional powers to construct 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.
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).
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.
Increasing the number of terms in the power series does not increase the radius of convergence; it only makes the divergence sharper.
A general quantum state is a linear combination of such vectors, so we can write it as a power series
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.
Fans of characters with super powers also might try Kelley Armstrong's Darkest Power series.--Edward Goldberg.