Results 1  10
of
1,684
The Taylor expansions
 Formalized Mathematics
"... Summary. A concept of the Maclaurin expansions is defined here. This article contains the definition of the Maclaurin expansion and expansions of exp, sin and cos functions. ..."
Abstract

Cited by 18 (1 self)
 Add to MetaCart
Summary. A concept of the Maclaurin expansions is defined here. This article contains the definition of the Maclaurin expansion and expansions of exp, sin and cos functions.
Stochastic Taylor expansions . . .
, 2009
"... These notes focus on the applications of the stochastic Taylor expansion of solutions of stochastic differential equations to the study of heat kernels in small times. As an illustration of these methods we provide a new heat kernel proof of the ChernGaussBonnet theorem. ..."
Abstract
 Add to MetaCart
These notes focus on the applications of the stochastic Taylor expansion of solutions of stochastic differential equations to the study of heat kernels in small times. As an illustration of these methods we provide a new heat kernel proof of the ChernGaussBonnet theorem.
Taylor expansion for an operator function
, 2004
"... A simple version for the extension of the Taylor theorem to the operator functions was found. The expansion was done with respect to a value given by a diagonal matrix for the noncommutative case, and the coefficients are given both by recurrence relations and Cauchy integrals. In Quantum Physics, ..."
Abstract
 Add to MetaCart
A simple version for the extension of the Taylor theorem to the operator functions was found. The expansion was done with respect to a value given by a diagonal matrix for the noncommutative case, and the coefficients are given both by recurrence relations and Cauchy integrals. In Quantum Physics
The Taylor expansion of the exponential map and geometric
 A Math. RACSAM
"... In this work we consider the Taylor expansion of the exponential map of a submanifold immersed in Rn up to order three, in order to introduce the concepts of lateral and frontal deviation. We compute the directions of extreme lateral and frontal deviation for surfaces in R3. Also we compute, by usin ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
In this work we consider the Taylor expansion of the exponential map of a submanifold immersed in Rn up to order three, in order to introduce the concepts of lateral and frontal deviation. We compute the directions of extreme lateral and frontal deviation for surfaces in R3. Also we compute
Taylor Expansion of the Differential Range for
"... The polar format algorithm (PFA) for spotlight synthetic aperture radar (SAR) is based on a linear approximation for the differential range to a scatterer. We derive a secondorder Taylor series approximation of the differential range. We provide a simple and concise derivation of both the farfield ..."
Abstract
 Add to MetaCart
The polar format algorithm (PFA) for spotlight synthetic aperture radar (SAR) is based on a linear approximation for the differential range to a scatterer. We derive a secondorder Taylor series approximation of the differential range. We provide a simple and concise derivation of both the far
A test of Taylor and modified Taylorexpansion
, 2013
"... We compare Taylor expansion and a modified variant of Taylor expansion, which incorporates features of the fugacity series, for expansions in the chemical potential around a zerodensity lattice field theory. As a first test we apply both series to the cases of free fermions and free bosons. Converg ..."
Abstract
 Add to MetaCart
We compare Taylor expansion and a modified variant of Taylor expansion, which incorporates features of the fugacity series, for expansions in the chemical potential around a zerodensity lattice field theory. As a first test we apply both series to the cases of free fermions and free bosons
NUMERICAL TAYLOR EXPANSIONS FOR INVARIANT MANIFOLDS
"... Abstract: We consider numerical computation of Taylor expansions of invariant manifolds around equilibria of maps and °ows. These are obtained by writing the corresponding functional equation in a number of points, setting up a nonlinear system of equations and solving that using a simpli¯ed Newton& ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
Abstract: We consider numerical computation of Taylor expansions of invariant manifolds around equilibria of maps and °ows. These are obtained by writing the corresponding functional equation in a number of points, setting up a nonlinear system of equations and solving that using a simpli¯ed Newton
Twopoint Taylor expansions of analytic functions
, 2002
"... Taylor expansions of analytic functions are considered with respect to two points. Cauchytype formulas are given for coefficients and remainders in the expansions, and the regions of convergence are indicated. It is explained how these expansions can be used in deriving uniform asymptotic expansion ..."
Abstract

Cited by 17 (13 self)
 Add to MetaCart
Taylor expansions of analytic functions are considered with respect to two points. Cauchytype formulas are given for coefficients and remainders in the expansions, and the regions of convergence are indicated. It is explained how these expansions can be used in deriving uniform asymptotic
The Inverse Taylor Expansion Problem in Linear Logic
, 2009
"... Linear Logic is based on the analogy between algebraic linearity (i.e. commutation with sums and with products with scalars) and the computer science linearity (i.e. calling inputs only once). Keeping on this analogy, Ehrhard and Regnier introduced Differential Linear Logic (DILL) — an extension of ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
of Multiplicative Exponential Linear Logic with differential constructions. In this setting, promotion (the logical exponentiation) can be approximated by a sum of promotionfree proofs of DILL, via Taylor expansion. We present a constructive way to revert Taylor expansion. Precisely, we define merging reduction — a
Variable Ordering for Taylor Expansion Diagrams
 IEEE Intl. High Level Design Validation and Test Workshop
"... ..."
Results 1  10
of
1,684