查询词典 congruence method

In this article, a new multigrid method for solving p-Laplacian equations is proposed based on the existing multigrid method: FAS multigrid method and Cascade multigrid method. This method is a combination of Cascade method and a new method named "back" method.

本文主要研究现有的几种求解p-Laplace方程的多重网格方法：FAS多重网格方法和Cascade多重网格法，并在此基础上提出了一种新的求解p-Laplace方程的多重网格方法：Cascade-back方法。

The main work of this paper is: First,we get the condition that the equation 2py~2 = 2x~3 + 3x~2 + x have no positive solution by the method of simple congruence and decomposition.

利用简单同余法、分解因子法等初等方法，给出了方程2py~2=2x~3+3x~2+x无正整数解的条件。

Eular -Bernonulli beam model and Tomosimko beam model were adapted to study the inherence vibration properties of the pipelines under dynamical loads, and the analytical answers of the chanmical results were brought out in the fifth chapter. And gave priority to the Eular -Bernonulli beam model, the simply and convenient analytical resolution for the response of the pipelines under dynamical traffic loads through the impulse function and the congruence method of the vibration form and so on.

本文采用Eular-Bernonulli梁模型和Tomosimko梁模型对动力下Kelvin粘弹性地基中管道固有振动性状进行了分析，提出了各力学结果描述的解析式；并以Eular-Bernonulli梁模型为主，基于脉冲函数、振型迭加法等对管道在动力交通荷载作用下的管道响应问题提出简单便捷的解析算法；在管道受力结果的分析中，考虑管道响应输出的随机性，将管道响应用随机过程来描述其概率特征，使得结果描述更加真实准确。

We adopt concurrency method, and use the knowledge of the number theory, such as the Legendre symbol and the the congruence equation to construct some families of the opaque predicates that are suit for Java program.

采用并发方法，用勒让德符号和同余方程等数论知识构造了适合混淆Java程序的不透明谓词簇。

Liouville"s Theorem on entire functions is proposed as a proving method for theta function identities. Several identities are exemplified, such as the quintuple and septuple product identities; four symmetric difference identities related to the Ramanujan"s congruence modulo 11 on the partition function; as well as two theta function identities on the Rogers-Ramanujan functions G and H.

作者提出利用Liouville定理作为证明theta函数恒等式的基本方法，并以Watson五重积，Hirschhorn七重积恒等式，四个与分拆函数中Ramanujan的模11同余有关的对称差恒等式，以及两个与Rogers-Ramanujan函数G，H有关的theta函数恒等式为范例，论证这种方法的有效性。

As for RESC, the congruence CG as a primitive spatial relation is added and two new functions acting on region, Region Extension and Region Shrinking are introduced, consequently a formalized metrization method that takes region as a basic unit is put forward.

RESC增加了一个全等CG的原始空间关系，引入了两个新颖的对区域的演算函数，即区域延伸和区域收缩，从而给出了一种以区域为单位的形式化的度量方法。

By mean of congruence transformation, when root of a polynomial has zero-root or double-root, a method for diagonalization of some Bezout matrics is given in this paper.

主要通过合同关系，对Bezout矩阵中当多项式存在零根和存在二重根时的对角化问题进行分析，得到一些有意义的结论。

Traditional sports teaching method,already could not adapt the new times sports curriculum to reform; this article means which through the literature law, the questionnaire investigation law, the cut-and-try method unifies, carries on the comparison to the traditional each sports teaching method, discovered the sports competition teaching method can adapt the new times student sports demand; the competition teaching method is unifies the traditional teaching method in the foundation one new teaching method, proved through the experiment, its teaching effect is good.

一些传统的体育教学思想、教学理念、教学方法、教学模式已经不能够适应现代教学的需要，在此过程中，为提高教学质量，就必须对教学方法进行改革。作为体育教学，如何进一步转变体育教育思想，深化体育教学改革，摆脱旧的传统的教学体系、思想体系和理论模式，逐步形成一个新型的，具有中国特色的教学过程和教材体系，使我国体育教学面向未来社会的需要，跟上21世纪学校体育发展的需要，是本文探讨和研究的问题。

Among used machine learning methods, the gradient descent method is widely used to train various classifiers, such as Back-propagation neural network and linear text classifier. However, the gradient descent method is easily trapped into a local minimum and slowly converges. Thus, this study presents a gradient forecasting search method based on prediction methods to enhance the performance of the gradient descent method in order to develop a more efficient and precise machine learning method for Web mining.However, a prediction method with few sample data items and precise forecasting ability is a key issue to the gradient forecasting search method. Applying statistic-based prediction methods to implement GFSM is unsuitable because they require a large number of data items to model a prediction model. In the contrast with statistic-based prediction methods, GM(1,1) grey prediction model does not need a large number of data items to build a prediction model, and it has low computational load. However, the original GM(1,1) grey prediction model uses a mathematical hypothesis and approximation to transform a continuous differential equation into a discrete difference equation in order to model a forecasting model.

其中梯度法是一个最常被使用来实现机器学习的方法之一，然而梯度法具有学习速度慢以及容易陷入局部最佳解的缺点，因此，本研究提出一个梯度预测搜寻法则(gradient forecasting search method， GFSM)来改善传统梯度法的缺点，用来提升一些以梯度学习法则为基础的分类器在资讯探勘上的效率与正确性；而一个所需资料量少、计算复杂度低且精确的预测模型是梯度预测搜寻法能否有效进行最佳解搜寻之关键因素，传统统计为基础之预测方法的缺点是需要较大量的数据进行预测，因此计算复杂度高，灰色预测模型具有建模资料少且计算复杂度低等优点，然而灰色预测理论以连续之微分方程式为基础，并且透过一些数学上的假设与近似，将连续之微分方程式转换成离散之差分方程式来对离散型资料进行建模及预测，这样的作法不尽合理，且缺乏数学理论上的完备性，因为在转换过程中已经造成建模上的误差，且建模过程仅考虑相邻的两个资料点关系，无法正确反应数列未来的变化趋势。

A mixed method of conjugate gradient method and steepest descent method ;2. The Modified Steepest Descent Method──Best Point in Steepest Descent method;3. This paper presents the mathematical model for the optimization of heterogeneous components, and the method using sensitivity analysis and steepest descent method to optimize material properties, the component is then identified.

阐述了非均质材料零件设计优化的数学模型，并采用灵敏度分析以及最速下降法对其各个材料区域的材料性能进行设计优化，得到最佳材料性能参数后，再从非均质材料数据库中找到相应的工程材料，合成满足设计要求的非均质材料零件该方法为设计者提供了切实可行的非均质材料零件的材料设计方

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。