WEAKLY SYMMETRIC FUNCTIONS AND WEAKLY SYMMETRICALLY CONTINUOUS FUNCTIONS

Kandasamy Muthuvel

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WEAKLY SYMMETRIC FUNCTIONS AND WEAKLY SYMMETRICALLY CONTINUOUS FUNCTIONS

机译：弱对称函数和弱对称连续函数

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摘要

We prove that there exists a nowhere weakly symmetric tunction f : R → R that is everywhere weakly symmetrically continuous and everywhere weakly continuous. Existence of a nowhere weakly symmetrically continuous function f : R → R that is everywhere weakly symmetric remains open.

机译：我们证明没有弱对称的函数f：R→R到处都是弱对称连续的，并且到处都是弱连续的。到处都是弱对称的无处弱对称连续函数f：R→R的存在仍然是开放的。

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来源
《Real analysis exchange》 |2015年第2期|455-458|共4页
作者
Kandasamy Muthuvel;
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作者单位

Department of Mathematics, University of Wisconsin Oshkosh, Oshkosh, WI 54901, U.S.A.;

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原文格式 PDF
正文语种 eng
中图分类
关键词
weakly symmetrically continuous function; weakly symmetric function;

机译：弱对称连续函数;弱对称函数;

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专利

1. The existence of weakly symmetric and weakly Ricci-symmetric Sasakian manifolds admitting a quarter-symmetric metric connection [J] . Jaiswal J.P. Acta mathematica Hungarica . 2011,第4期

机译：允许四分之一对称度量连接的弱对称和弱Ricci对称Sasakian流形的存在
2. The existence of weakly symmetric and weakly Ricci-symmetric Sasakian manifolds admitting a quarter-symmetric metric connection [J] . Jai Prakash Jaiswal Acta Mathematica Hungarica . 2011,第4期

机译：允许四分之一对称度量连接的弱对称和弱Ricci对称Sasakian流形的存在
3. Weak quasi-symmetric functions, Rota-Baxter algebras and Hopf algebras [J] . Yu Houyi, Guo Li, Thibon Jean-Yves Advances in Mathematics . 2019,第期

机译：弱的准对称功能，Rota-Baxter代数和Hopf代数
4. Block Sensitivity of Weakly Symmetric Functions [C] . Xiaoming Sun International Conference on Theory and Applications of Models of Computation(TAMC 2006); 20060515-20; Beijing(CN) . 2006

机译：弱对称函数的块敏感性
5. Steady-state voltage security assessment using symmetric eigenvalue analysis for weak area identification in large power transmission network. [D] . Somayajulu, Yagnaramasubramanian. 2013

机译：基于对称特征值分析的稳态电压安全性评估，用于大型输电网络的薄弱区域识别。
6. Interaction of Lamb Wave Modes with Weak Material Nonlinearity: Generation of Symmetric Zero-Frequency Mode [O] . Xiaoqiang Sun, Xiangyan Ding, Feilong Li, 2018

机译：兰姆波模式与弱材料非线性的相互作用：对称零频模式的产生
7. Weakly Symmetrically Continuous Functions [O] . Pongsriiam, Prapanpong, Thongsiri, Teraporn 2014

机译：弱对称连续函数

WEAKLY SYMMETRIC FUNCTIONS AND WEAKLY SYMMETRICALLY CONTINUOUS FUNCTIONS

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