Results 11 to 20 of about 21,799 (306)
Directional Derivatives of Oblique Reflection Maps [PDF]
Mathematics of Operations Research, 2010 Given an oblique reflection map Γ and functions [Formula: see text] (the space of ℝK-valued functions that have finite left and right limits at every point), the directional derivative [Formula: see text] of Γ along χ, evaluated at ψ, is defined to be the pointwise limit, as [Formula: see text], of the family of functions [Formula: see text ...
Avi Mandelbaum, Kavita Ramanan
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On Characterizations of Directional Derivatives and Subdifferentials of Fuzzy Functions [PDF]
Symmetry, 2017 In this paper, based on a partial order, we study the characterizations of directional derivatives and the subdifferential of fuzzy function. At the same time, we also discuss the relation between the directional derivative and the subdifferential.
Wei Zhang, Yumei Xing, Dong Qiu
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On directional derivatives for cone-convex functions
Topological Methods in Nonlinear Analysis, 2019 We investigate the relationship between the existence of directional derivatives for cone-convex functions with values in a Banach space Y and isomorphisms between Y and c0.
Leśniewski, Krzysztof
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Results in Applied Mathematics, 2023 In this paper, a fully discrete interpolated coefficient characteristic finite element approximation is proposed for optimal control problems governed by time-dependent semilinear convection–diffusion equations, where the hyperbolic part of the state ...
Xiaowu Li, Yuelong Tang
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix combined-exponential function is introduced and some basic properties are obtained.
Wang Chao, Li Zhien, Agarwal Ravi P.
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The Derivation of Direction Selectivity in the Striate Cortex [PDF]
The Journal of Neuroscience, 2004 In the central visual pathway of binocular animals, the property of directional selectivity (DS) is first exhibited in striate cortex. In this study, we sought to determine the neural circuitry underlying the transformation from non-DS neurons to DS cortical cells.
Matthew R, Peterson +2 more
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Vietnam Journal of Mechanics, 2006 Two approximation methods (the Green's theorem technique and the directional derivative technique) of spatial derivatives have been proposed for finite differences on unstructured triangular meshes. Both methods have the first order accuracy.
Nguyen Duc Lang, Tran Gia Lich, Le Duc
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COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS
Image Analysis and Stereology, 2011 The covariogram of a measurable set A ⊂ Rd is the function gA which to each y ∈ Rd associates the Lebesgue measure of A ∩ (y + A). This paper proves two formulas.
Bruno Galerne
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Mathematics, 2021 This paper proposed a definition of the fractional line integral, generalising the concept of the fractional definite integral. The proposal replicated the properties of the classic definite integral, namely the fundamental theorem of integral calculus ...
Gabriel Bengochea, Manuel Ortigueira
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Derivatives of Multivariate Bernstein Operators and Smoothness with Jacobi Weights
Journal of Applied Mathematics, 2012 Using the modulus of smoothness, directional derivatives of multivariate Bernstein operators with weights are characterized. The obtained results partly generalize the corresponding ones for multivariate Bernstein operators without weights.
Jianjun Wang +3 more
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