Results 261 to 270 of about 1,508,171 (301)

Polynomial Invariant Theory and Taylor Series

Canadian Journal of Mathematics, 1991
For any group K and finite-dimensional (right) K-module V let be the right regular representation of K on the algebra of polynomial functions on V. An Isotypic Component of is the sum of all k-submodules of on which π restricts to an irreducible representation can then be written as f = ΣƬ ƒƬ with ƒƬ in .
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q-Taylor’s Formula for Polynomials

2002
As has been shown in the previous chapter, P n (x) = (x − a) q n /[n]! satisfies the three requirements of Theorem 2.1 with respect to the linear Operator D q . Therefore, we now obtain the q-version of Taylor’s formula.
Victor Kac, Pokman Cheung
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Taylor expansion of noncommutative polynomials

Archiv der Mathematik, 1998
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Generalized Taylor’s Formula for Polynomials

2002
In the ordinary calculus, a function, f(x) that possesses derivatives of all Orders is analytic at x = a if it can be expressed as a power series about x = a. Taylor’s theorem teils us the power series is $$ f(x) = \sum\limits_{n = 0}^\infty {f^{(n)} (a)} \frac{{(x - a)^n }} {{n!}}.
Victor Kac, Pokman Cheung
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Computation and Application of Taylor Polynomials with Interval Remainder Bounds

Reliable Computing, 1998
So-called Taylor models are used to determine guaranteed bounds of function values of multivalued and preferably complicated functions which are expansive to evaluate. A Taylor model of a function \(f\) consists of a Taylor polynomial of some convenient degree and an absolute error term in form of an interval. In order to determine the required bounds,
Martin Berz, Georg Hoffstätter
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Taylor Polynomials for Rational Functions

The College Mathematics Journal, 1998
(1998). Taylor Polynomials for Rational Functions. The College Mathematics Journal: Vol. 29, No. 3, pp. 226-228.
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ON THE GALOIS GROUPS OF THE EXPONENTIAL TAYLOR POLYNOMIALS

1987
Let \(f_ n(X)\) be the polynomial \(1+x+x^ 2/2!+\dots+x^ n/n!\) over \({\mathbb{Q}}\). Then [cf. \textit{I. Schur}, Sitzungsber. Akad. Wiss. Berlin 1930, 443--449 (1930; JFM 56.0110.02)] the Galois group of \(f_ n(X)\) is the alternating group \(A_ n\) if 4 divides \(n\) and it is equal to the symmetric group \(S_ n\) otherwise.
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Taylor polynomial solutions of Volterra integral equations

International Journal of Mathematical Education in Science and Technology, 1994
The method of Kanwal and Liu for the solution of Fredholm integral equations is applied to certain linear and nonlinear Volterra integral equations of the second kind. Some equations considered by other authors are solved in terms of Taylor polynomials and the results are compared.
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Taylor polynomial solutions of linear differential equations

Applied Mathematics and Computation, 2003
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Taylor Polynomials

The College Mathematics Journal, 1989
David P. Kraines, Vivian Y. Kraines, David A. Smith   +2 more
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