搜索结果: 1-15 共查到“数学 Derivatives”相关记录38条 . 查询时间(0.06 秒)
Designing Optical Fibers: Fitting the Derivatives of a Nonlinear Pde-Eigenvalue Problem
Symmetric Indefinite Eigenvalue Gradient Optical Fiber Design
2013/1/30
When trying to fit data to functions of the eigensystem of a pde-eigenvalue problem, such as Maxwell’s equation, numerical differentiation is ineffective and analytic gradients must be supplied. In ou...
Interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces
interpolation inequality Landau-Kolmogorov type inequality Variable exponent Lebesgue-Sobolev space maximal function operator
2011/10/26
The author shows the interpolation inequalities for derivatives in variable exponent Lebesgue-Sobolev spaces by applying the boundedness of the Hardy-Littlewood maximal operator on L^{p(x)}. As applic...
New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals
Ostrowski type inequality convex function Riemann-Liouville fractional integral
2011/9/22
Abstract: New identity similar to an identity of [13] for fractional integrals have been defined. Then making use of this identity, some new Ostrowski type inequalities for Riemann-Liouville fractiona...
On natural derivatives and the curvature formula in fibre bundles
fibre bundles natural derivatives connections integrability covariant derivatives
2011/8/31
Abstract: In a fibre bundle, natural derivatives of a section are defined as tangent vector fields on the image of a section of the fibre bundle. A local extension to vector fields in the tangent bund...
Evolution Equations in Functional Derivatives of Many-Particle Systems
BBGKY hierarchy Liouville hierarchy generating functional functional derivative marginal observable
2011/8/25
Abstract: The hierarchies of evolution equations of classical many-particle systems are formulated as evolution equations in functional derivatives. In particular the BBGKY hierarchy for marginal dist...
Some results on zeros distributions and uniqueness of derivatives of difference polynomials
Zeros difference polynomials derivatives value sharing uniqueness
2011/8/25
Abstract: We consider the zeros distributions on the derivatives of difference polynomials of meromorphic functions, and present some results which can be seen as the discrete analogues of Hayman conj...
Calculus of Tangent Sets and Derivatives of Set Valued Maps under Metric Subregularity Conditions
Bouligand tangent sets Ursescu tangent sets metric regularity set-valued derivatives
2011/8/23
Abstract: In this paper we intend to give some calculus rules for tangent sets in the sense of Bouligand and Ursescu, as well as for corresponding derivatives of set-valued maps. Both first and second...
Consistency of Functional Learning Methods Based on Derivatives
Functional Data Analysis Consistency Statistical learning Derivatives SVM Smoothing splines RKHS Kernel
2011/6/15
In some real world applications, such as spectrometry, functional models
achieve better predictive performances if they work on the derivatives of order
m of their inputs rather than on the original...
Fractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform
fractional derivatives and integrals time scales Laplace transform
2011/1/19
We introduce a fractional calculus on time scales using the theory of delta (or nabla)dynamic equations. The basic notions of fractional order integral and fractional order derivative on an arbitrary ...
On certain subclass of harmonic univalent functions defined by a generalized Ruscheweyh derivatives operator
Harmonic univalent functions Ruscheweyh derivative
2010/9/20
In this paper, the class SH(α, β; n, λ) of univalent harmonic and sense-preserving mappings in the unit disk is introduced. The distortion inequalities and extreme points for functions in the class SH...
Approximation of functions and their derivatives by analytic maps on certain Banach spaces
Approximation of functions derivatives analytic maps
2010/11/24
Let X be a separable Banach space which admits a separating polynomial; in particular X a separable Hilbert space. Let $f:X \rightarrow R$ be bounded, Lipschitz, and $C^1$ with uniformly continuous d...
A Fractal Example of a Continuous Monotone Function with Vanishing Derivatives on a Dense Set and Infinite Derivatives on Another Dense Set
Sierpinki Gasket harmonic function
2011/6/2
Inspired by the theory of analysis on fractals, we construct an example of a continuous, monotone function on an interval, which has vanishing derivatives on a dense set and infinite derivatives on an...
On Higher Derivatives as Constraints in Field Theory: a Geometric Perspective
Higher Derivative Field Theory Fiber Bundles Jet Bundles
2010/12/15
We formalize geometrically the idea that the (de Donder) Hamiltonian formu-lation of a higher derivative Lagrangian field theory can be constructed under-standing the latter as a first derivative theo...
Higher-order derivatives of the QR and of the real symmetric eigenvalue decomposition in forward and reverse mode algorithmic differentiation
univariate Taylor polynomial arithmetic higher-order derivatives QR decomposition real symmetric eigenvalue decomposition
2010/12/15
We address the task of higher-order derivative evaluation of computer programs that contain QR
decompositions and real symmetric eigenvalue decompositions. The approach is a combination of univariate...
Loss of derivatives for systems of complex vector fields and sums of squares
Loss of derivatives for systems complex vector fields sums of squares
2010/11/29
We discuss, both for systems of complex vector fields and for sums of squares, the phenomenon discovered by Kohn of hypoellipticity with loss of derivatives.MSC: 32W05, 32W25, 32T25