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Relative Continuity and New decompositions of Continuity in Bitopological Spaces

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International Journal of Modern Nonlinear Theory and Application 2014年第5期3卷 248-255页

作者： S. A. Alblowi Department of Mathematics Faculty of Science for Girls King Abdulaziz University Al-Faisaliah Kingdom of Saudi Arabia

The aim of this work is to introduce some weak forms of continuity in bitopological spaces. Then we use these new forms of weak continuity to give many decompositions of?i-continuity and pairwise continuity.

关键词： Relative Continuity decompositions of Continuity Bitopological Spaces i -Continuity Pairwise Continuity

Greedy Friensdhip decompositions of Graphs

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Open Journal of Discrete Mathematics 2011年第1期1卷 32-34页

作者： Teresa Sousa 不详

A graph that consists of t cliques sharing a vertex v is said to be a t-friendship graph with center v. A friendship graph is a graph that is t-friendship for some . We solve the problem of finding the best upper boun... 详细信息

关键词： Friendship Graph decompositions Greedy decompositions

Friendship decompositions of Graphs: The general problem

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Open Journal of Applied Sciences 2012年第4期2卷 30-33页

作者： Teresa Sousa Departamento de Matematica and Centro de Matematica e Aplicac~oes Faculdade de Ci^encias e Tecnologia Universidade Nova de Lisboa Quinta da Torre 2829-516 Caparica Portugal

A friendship graph is a graph consisting of cliques sharing a common vertex. In this paper we investigate the maximum number of elements in an optimal friendship decomposition of graphs of order n. We obtain upper and... 详细信息

关键词： Graph decompositions Friendship Graph Friendship decompositions

Solving the Linear Oscillatory Problem without Damping with Random Loading Condition Using the Decomposition Method

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Journal of Applied Mathematics and Physics 2019年第3期7卷 527-535页

作者： Amnah S. Al-Juhani Aleh A. Al-Shammari Faculty of Science Tabuk University Tabuk KSA

In this paper we study the solution of random linear oscillatory equation ?without damping and with random leading condition using the method. Finally, the time evolution of the mean, variance and standard deviation h... 详细信息

关键词： Linear Stochastic Differential Equations Adomian decompositions Linear Oscillatory Mathematica

General Variance Covariance Structures in Two-Way Random Effects Models

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Applied Mathematics 2013年第4期4卷 614-623页

作者： Carlos De Porres Jaya Krishnakumar Department of Economics University of Geneva Geneva Switzerland

This paper examines general variance-covariance structures for the specific effects and the overall error term in a two-way random effects (RE) model. So far panel data literature has only considered these general structures in a one-way model and followed the approach of a Cholesky-type transformation to bring the model back to a “classical” one-way RE case. In this note, we first show that in a two-way setting it is impossible to find a Cholesky-type transformation when the error components have a general variance-covariance structure (which includes autocorrelation). Then we propose solutions for this general case using the spectral decomposition of the variance components and give a general transformation leading to a block-diagonal structure which can be easily handled. The results are obtained under some general conditions on the matrices involved which are satisfied by most commonly used structures. Thus our results provide a general framework for introducing new variance-covariance structures in a panel data model. We compare our results with [1] and [2] highlighting similarities and differences.

关键词： Error Components Matrix decompositions Panel Data Spectral decompositions

Logical Function Decomposition Method for Synthesis of Digital Logical System Implemented with Programmable Logic Devices (PLD)

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Circuits and Systems 2013年第7期4卷 472-477页

作者： Mihai Grigore Timis Alexandru Valachi Alexandru Barleanu Andrei Stan Automatic Control and Computer Engineering Faculty Technical University Gh.Asachi Iasi Romania

The paper consists in the use of some logical functions decomposition algorithms with application in the implementation of classical circuits like SSI, MSI and PLD. The decomposition methods use the Boolean matrix calculation. It is calculated the implementation costs emphasizing the most economical solutions. One important aspect of serial decomposition is the task of selecting “best candidate” variables for the G function. Decomposition is essentially a process of substituting two or more input variables with a lesser number of new variables. This substitutes results in the reduction of the number of rows in the truth table. Hence, we look for variables which are most likely to reduce the number of rows in the truth table as a result of decomposition. Let us consider an input variable purposely avoiding all inter-relationships among the input variables. The only available parameter to evaluate its activity is the number of “l”s or “O”s that it has in the truth table. If the variable has only “1” s or “0” s, it is the “best candidate” for decomposition, as it is practically redundant.

关键词： Combinational Circuits Static Hazard Logic Design Boolean Functions Logical decompositions