Results 21 to 30 of about 545,214 (282)

New spaces over modulus function

Boletim da Sociedade Paranaense de Matemática, 2022
Our main aim of this paper is to introduce some new techniques of spaces using modulus function. Some of basic inclusion properties will be taken care of.
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Simulation study on the size effect of joint roughness on bulk modulus

Frontiers in Materials, 2023
The bulk modulus reflects the deformation of rock macroscopically and plays a vital role in geological exploration, oilfield development, and drilling.
Wenxu Liang, Wenxu Liang, Yu Li, Jie Wang, Gaojian Hu, Wei Fu, Wei Fu, Lei Sun   +7 more
doaj   +1 more source

Study on the size effect of elastic modulus of rock considering the joint spacing

Frontiers in Materials, 2023
The relationship between the rock’s elastic modulus and deformation characteristics, affected by joint spacing and ductility, was not determined. This study investigates the size effect of the elastic modulus of rock with parallel joints using numerical ...
Tao Zhao, Tao Zhao, Tao Zhao, Gaojian Hu
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On the $\Delta _{{\Lambda ^2}}^f$-Statistical Convergence on Product Time Scale

Universal Journal of Mathematics and Applications, 2020
In this paper, we first define a new density of a $\Delta $-measurable subset of a product time scale ${\Lambda ^2}$ with respect to an unbounded modulus function.
Metin Basarır, Bayram Sözbir, Selma Altundağ   +2 more
doaj   +1 more source

Study on the size effect of the secant modulus of rocks containing multiple parallel joints

Frontiers in Materials, 2022
The secant modulus of the rock reflects the stiffness of the rock and the ability to resist deformation. There are significant differences in the secant modulus of the rock due to the different numbers of joints in the rock and the change in rock size ...
Jing Zhang, Wannian Guo, Yongzhi Fu, Yong Feng, Qingxia Wang, Gaojian Hu, Gaojian Hu, Tao Wang   +7 more
doaj   +1 more source

New Definitions about A I -Statistical Convergence with Respect to a Sequence of Modulus Functions and Lacunary Sequences

Axioms, 2018
In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi, Hafize Gümüş, Ekrem Savas   +2 more
doaj   +1 more source

On Fractional Smoothness of Modulus of Functions

Annals of Applied Mathematics, 2021
We consider the Nemytskii operators $u\to |u|$ and $u\to u^{\pm}$ in a bounded domain $\Omega$ with $C^2$ boundary.
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Elastic contact to a coated half-space - Effective elastic modulus and real penetration [PDF]

, 2004
A new approach to the contact to coated elastic materials is presented. A relatively simple numerical algorithm based on an exact integral formulation of the elastic contact of an axisymmetric indenter to a coated substrate is detailed.
A. Perriot, E. Barthel, Fabrikant, Gao, Haiat, Hertz, Sneddon   +6 more
core   +4 more sources

The Maximum Modulus Principle for CR Functions [PDF]

Proceedings of the American Mathematical Society, 1986
Let M M be a CR submanifold of C n {{\mathbf {C}}^n} without extreme points. Then, the modulus of any CR function on M M cannot have a strong local maximum at any point of M M .
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On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus Function [PDF]

Neutrosophic Sets and Systems
In this paper, we introduce the neutrosophic I-convergent difference sequence spaces I(Y) (∆) (f ) and I0(Y) (∆) (f ) defined by modulus function.
Vakeel A. Khan, Mohammad Arshad
doaj   +1 more source