主析取范式求法解析

求主析取范式包括真值表法、推演法以及用真值表法求 G的主析取范式、用推演法求 G的主合取范式等四种方法。用极小项的性质给出了真值表求法的证明 ,用公式相等的定义证明了求G的主析取范式的定理。

初中一次函数解析式求法研究

一次函数是初中函数知识的入门，一次函数解析式是函数的表现形式之一，因此，学习一次函数应先从函数解析式开始。

An Approach for Solving Short-Wave Models for Camassa-Holm Equation and Degasperis-Procesi Equation

In this paper, to construct exact solution of nonlinear partial differential equation, an easy-to-use approach is proposed. By means of the transformation of the independent variables and the travelling wave transformation, the partial differential equation is reduced to an ordinary differential equation. To solve the ordinary differential equation, we assume the soliton solution in the explicit expression and obtain the travelling wave solution. By the transformation back to the original independent variables, the soliton solution of the original partial differential equation is derived. We investigate the short wave model for the Camassa-Holm equation and the Degasperis-Procesi equation respectively. One-cusp soliton solution of the Camassa-Flolm equation is obtained. One-loop soliton solution of the Degasperis- Procesi equation is also obtained, the approximation of which in a closed form can be obtained firstly by the Adomian decomposition method. The obtained results in a parametric form coincide perfectly with those given in the present reference. This illustrates the efficiency and reliability of our approach.

Singular Hybrid Boundary Node Method for Solving Poisson Equation

As a boundary-type meshless method, the singular hybrid boundary node method（SHBNM） is based on the modified variational principle and the moving least square（MLS） approximation, so it has the advantages of both boundary element method（BEM） and meshless method. In this paper, the dual reciprocity method（DRM） is combined with SHBNM to solve Poisson equation in which the solution is divided into particular solution and general solution. The general solution is achieved by means of SHBNM, and the particular solution is approximated by using the radial basis function（RBF）. Only randomly distributed nodes on the bounding surface of the domain are required and it doesn＇t need extra equations to compute internal parameters in the domain. The postprocess is very simple. Numerical examples for the solution of Poisson equation show that high convergence rates and high accuracy with a small node number are achievable.

An Analytic Method for Interval Bimatrix Games

This paper deals with rnxn two-person non-zero sum games with interval pay-offs. An analytic method for solving such games is given. A pair of Nash Equilibrium is found by using the method. The analytic method is effective to find at least one Nash Equilibrium （N.E） for two-person bimatrix games. Therefore, the analytic method for two-person bimatrix games is adapted to interval bimatrix games.

Analysis of characteristic functions for equivalent circuit model in monolithic transformer

A model of monolithic transformers is presented, which is analyzed with characteristic functions. A closed- form analytical approach to extract all the model parameters for the equivalent circuit of Si-based on-chip transformers is proposed. A novel de-coupling technique is first developed to reduce the complexity in the Y parameters for the transformer, and the model parameters can then be extracted analytically by a set of characteristic functions. Simulation based on the extracted parameters has been carried out for transformers with different structures, and good accuracy is obtained compared to a 3-demensional full-wave numerical electro- magnetic field solver. The presented approach will be very useful to provide a scalable and wide-band compact circuit model for Si-based RF transformers.

Toward Analytic Solution of Nonlinear Differential Difference Equations via Extended Sensitivity Approach

In this paper an efficient computational method based on extending the sensitivity approach(SA) is proposed to find an analytic exact solution of nonlinear differential difference equations.In this manner we avoid solving the nonlinear problem directly.By extension of sensitivity approach for differential difference equations(DDEs),the nonlinear original problem is transformed into infinite linear differential difference equations,which should be solved in a recursive manner.Then the exact solution is determined in the form of infinite terms series and by intercepting series an approximate solution is obtained.Numerical examples are employed to show the effectiveness of the proposed approach.

The Effect of a Proposed Training Program Based on the Reflective Model on the Teachers＇ Reading Practices in Mafraq

This study aimed at investigating the effect of a proposed EFL （English as a Foreign Language） training program on the teachers＇ reading practices in Mafraq. This program was developed by the researcher according to the ninth-grade EFL teachers＇ needs. The participants of the study were 20 ninth-grade females EFL teachers who represented the experimental and control groups （10 teachers in each group）. They were randomly chosen from 10 schools in the Northwestern Badia Directorate of Education. To achieve the purposes of the study, the researcher designed a needs analysis questionnaire, a training program, a pre and post observation checklist, and a pre and post received knowledge test for teachers. Proper statistical analysis was used to analyze the results of the research questions. The results of the study showed that teachers were in need to be trained on 20 reading comprehension practices to be able to teach reading comprehension effectively. Besides, there were statistically significant differences at the level of （a = 0.05） between the means scores of the ninth-grade teachers＇ performance of the control and experimental groups on the post observation checklist and on the post received knowledge test in favor of the experimental group due to the training program.