云南高校图书馆联盟文献共享服务平台- DIFFERENTIABILITY

DIFFERENTIABILITY: 作品数：54被引量：47H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：靳展喻文焕金振东翟志春王文胜更多>>; 相关机构：杭州师范大学云南大学天津大学更多>>; 相关期刊：《npj Computational Materials》《软件学报》《Journal of Applied Mathematics and Physics》《Journal of Mathematical Research with Applications》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划福建省自然科学基金更多>>

An intuitive parameterization method with inherently high-order differentiability for compressor blade sections based on ellipse hierarchical deformation: 《Chinese Journal of Aeronautics》2023年第8期74-90,共17页Chuanrui SI Jinxin CHENG Zhengqing ZHU Zhitong CHEN Qinglong HAO; supported by the Fundamental Research(No.JCKY2021206B057)which is undertaken by Zaozhuang Beihang Machine Tool Innovation Research Institute Co.,Ltd,China.; Shape parameterization has a crucial influence on the optimal solution of aerodynamic optimization.This paper proposes a novel parameterization method for compressor blade sections based on the three-level deformation...; 关键词：Aerodynamics Blade sections Compressors DEFORMATION ELLIPSE PARAMETERIZATION

End-to-end differentiability and tensor processing unit computing to accelerate materials’ inverse design: 《npj Computational Materials》2023年第1期1072-1083,共12页Han Liu Yuhan Liu Kevin Li Zhangji Zhao Samuel S.Schoenholz Ekin D.Cubuk Puneet Gupta Mathieu Bauchy; H.L.acknowledges funding from the Fundamental Research Funds for the Central Universities under the Grant No.YJ202271;M.B.acknowledges the National Science Foundation under the Grant No.DMREF-1922167;TPU computing time was provided by a grant allocation from Google’s TensorFlow Research Cloud(TFRC)program.; Numerical simulations have revolutionized material design.However,although simulations excel at mapping an input material to its output property,their direct application to inverse design has traditionally been limite...; 关键词：ENOUGH inverse ISOTHERM

Differentiability of Functions on Spheres and Criterions of Convexity: 《Wuhan University Journal of Natural Sciences》2022年第4期273-280,共8页CHEN Tingting GUO Qi; Supported by the National Natural Science Foundation of China(12071334,11671293); Some basic concepts for functions defined on subsets of the unit sphere,such as the s-directional derivative,s-gradient and s-Gateaux and s-Frechet differentiability etc,are introduced and investigated.These concepts ...; 关键词：spherical convexity spherically convex function Gateaux and Frechet differentiability criterion of convexity

Differentiability of Interval Valued Function and Its Application in Interval Valued Programming被引量：1: 《Journal of Mathematical Research with Applications》2020年第4期415-431,共17页Yu-e BAO Na LI Linfen ZHANG; Supported by the National Natural Science Fund of China(Grant No.11461052);the Natural Science Foundation of Inner Mongolia(Grant No.2018MS01010)。; In this paper,the differentiability of interval valued function is discussed by using the idea of total differential of real valued function,the concept of D-differentiability of interval valued function is establishe...; 关键词：interval-valued function D-differentiability interval-valued programming KKT optimal condition

Dimension of the Non-Differentiability Subset of the Cantor Function: 《Journal of Applied Mathematics and Physics》2020年第1期107-114,共8页Muquan Yan; The main purpose of this note is to estimate the size of the set Tμλ of points, at which the Cantor function is not differentiable and we find that the Hausdorff dimension of Tμλ is [log2/log3]2. Moreover, the Pac...; 关键词：Hausdor DIMENSION Packing DIMENSION CANTOR TERNARY FUNCTION CANTOR TERNARY Set

The differentiability of solutions for elliptic equations which degenerate on part of the boundary of a convex domain: 《Applied Mathematics(A Journal of Chinese Universities)》2018年第4期421-435,共15页SONG Jia-xin CAO Yi; Research supported by the National Natural Science Foundation of China(11671243);the Shaanxi natural science basic research project of China(2018JM1020); In this paper,we study the differentiability of solutions on the boundary for equartions of type L;u=;u/x;+|x|;;u/y;=f（x,y）,where λ is an arbitrary positive number. By introducing a proper metric that is related to...; 关键词：elliptic equations convex domain DIFFERENTIABILITY

Smulyan Lemma and Differentiability of the Support Function: 《Analysis in Theory and Applications》2018年第4期348-357,共10页Ildar Sadeqi Sima Hassankhali; The purpose of this paper is to verify the Smulyan lemma for the support function, and also the Gateaux differentiability of the support function is studied on its domain. Moreover, we provide a characterization of Fr...; 关键词：Frechet and Gateaux differentiability support function strict convexity Smulyan lemma

Stochastic Hamiltonian flows with singular coefficients Dedicated to the 60th Birthday of Professor Michael R¨ockner: 《Science China Mathematics》2018年第8期1353-1384,共32页Xicheng Zhang; In this paper, we study the following stochastic Hamiltonian system in R^(2d)(a second order stochastic differential equation):dX_t = b(X_t,X_t)dt + σ(X_t,X_t)dW_t,(X_0,X_0) =(x, v) ∈ R^(2d),where b(x, v) : R^(2d)→...; 关键词：stochastic Hamiltonian system weak differentiability Krylov’s estimate Zvonkin’s transformation kinetic Fokker-Planck operator

Asymptotic Normality Distribution of Simulated Minimum Hellinger Distance Estimators for Continuous Models被引量：1: 《Open Journal of Statistics》2018年第5期846-860,共15页Andrew Luong Claire Bilodeau; Certain distributions do not have a closed-form density, but it is simple to draw samples from them. For such distributions, simulated minimum Hellinger distance (SMHD) estimation appears to be useful. Since the metho...; 关键词：Continuous DISTRIBUTION KERNEL Density ESTIMATE CONTINUITY in PROBABILITY DIFFERENTIABILITY in PROBABILITY Hellinger Distance

Path-dependent backward stochastic Volterra integral equations with jumps,differentiability and duality principle: 《Probability, Uncertainty and Quantitative Risk》2018年第1期109-145,共37页Ludger Overbeck Jasmin A.L.Roder; We study the existence and uniqueness of a solution to path-dependent backward stochastic Volterra integral equations(BSVIEs)with jumps,where path-dependence means the dependence of the free term and generator of a pa...; 关键词：Path-dependent backward stochastic Volterra integral equation Jump diffusion Path-differentiability Duality principle Comparison theorem Functional Ito formula Dynamic coherent risk measure

DIFFERENTIABILITY