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]
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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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A different possibility, discussed in [9] and [4], is a modification of the power series expansion of f (t) in (1.
n](x) are defined by the coefficients of the power series expansion of the function 1/1-t [e.
This covers finite-dimensional linear control systems, linear partial differential equations, controllability of nonlinear systems in finite dimensions, linearized control systems and fixed-point methods, iterated Lie brackets, return methods, quasi-state deformation, power series expansion, Schrodinger equations, linear control systems in finite dimensions and applications to nonlinear control systems, stabilization of nonlinear control systems in finite dimensions, feedback design tools, and applications to some partial differential equations.