Results 1 to 10 of about 2,491,696 (297)
The Directional Derivative in General Quantum Calculus [PDF]
Symmetry, 2022 In this paper, we define the β-partial derivative as well as the β-directional derivative of a multi-variable function based on the β-difference operator, Dβ, which is defined by Dβf(t)=f(β(t))−f(t)/β(t)−t, where β is a strictly increasing continuous ...
Enas M Shehata, José Luı́S Cardoso
exaly +3 more sources
A Partial Derivative Approach to the Change of Scale Formula for the Function Space Integral
Entropy, 2020 We investigate the partial derivative approach to the change of scale formula for the functon space integral and we investigate the vector calculus approach to the directional derivative on the function space and prove relationships among the Wiener ...
Young Sik Kim
doaj +2 more sources
Regularity criteria via one directional derivative of the velocity in anisotropic Lebesgue spaces to the 3D Navier-Stokes equations [PDF]
, 2020 In this paper, we consider the regularity criterion for 3D incompressible Navier-Stokes equations in terms of one directional derivative of the velocity in anisotropic Lebesgue spaces. More precisely, it is proved that u becomes a regular solution if the
M. Ragusa, Fan Wu
semanticscholar +2 more sources
Alexandria Engineering Journal, 2021 This work is reported the analytical solutions for describing the nonlinear directional couplers with metamaterials by including spatial–temporal fractional beta derivative evolution.
M.F. Uddin +4 more
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A bi‐directional fractional‐order derivative mask for image processing applications
IET Image Processing, 2020 Fractional computation has been recently designed as a major mathematical tool in image and signal processing fields. This study presents a novel operator established for two‐dimensional fractional differentiation.
Meriem Hacini +2 more
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MixupE: Understanding and Improving Mixup from Directional Derivative Perspective [PDF]
Conference on Uncertainty in Artificial Intelligence, 2022 Mixup is a popular data augmentation technique for training deep neural networks where additional samples are generated by linearly interpolating pairs of inputs and their labels.
Ying-Tian Zou +8 more
semanticscholar +1 more source
Color Edge Detection Based on Adaptive Directional Derivative Filter [PDF]
Jisuanji gongcheng, 2022 Conventional color edge detection algorithms may detect noise as edges when improving the accuracy of edge detection.While improving the robustness of noise, some edges will be suppressed as noise, resulting in the loss of some edge information.To ...
WANG Fuping, YU Juntao, ZHANG Qieshi
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Critical regularity criteria for Navier–Stokes equations in terms of one directional derivative of the velocity [PDF]
Mathematical methods in the applied sciences, 2020 In this paper, we consider the 3D Navier–Stokes equations in the whole space. We investigate some new inequalities and a priori estimates to provide the critical regularity criteria in terms of one directional derivative of the velocity field, namely ...
Hui Chen, D. Fang, T. Zhang
semanticscholar +1 more source
An algorithm for LC1 optimization [PDF]
Yugoslav Journal of Operations Research, 2005 In this paper an algorithm for LC1 unconstrained optimization problems, which uses the second order Dini upper directional derivative is considered. The purpose of the paper is to establish general algorithm hypotheses under which convergence occurs to ...
Đuranović-Miličić Nada I.
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On an algorithm in nondifferential convex optimization [PDF]
Yugoslav Journal of Operations Research, 2013 In this paper an algorithm for minimization of a nondifferentiable function is presented. The algorithm uses the Moreau-Yosida regularization of the objective function and its second order Dini upper directional derivative. The purpose of the paper is
Đuranović-Miličić Nada I. +1 more
doaj +1 more source