数学

She thinks it impossible for Russell to deoxidize mathematics to logic because he couldn't derive arithmetic from purely logic laws. In this meaning, we can say that Russell's trying is failed.

认为罗素的数学逻辑主义因为没有实现从纯逻辑出发、将数学化归为逻辑的目标，因而是失败的。

Therefore, this research suggests that teachers should understand pupils' learning styles,train them to be the ones with mathematics proficiencies, build a team of cooperative learning , and depolarize their learning styles to reinforce pupils' performance and happiness in learning mathematics.

因此，本研究建议教学者应培养具有数学熟练性的国小学童、了解学生学习风格、建构一个合作学习的团体及使学童学习风格去极化，期待可以使学生学数学学得更好、更快乐。

" In the philosophy of mathematics, the thesis that all mathematical propositions are expressible as or derivable from the propositions of pure logic."

在数学哲学中，认为数学是从逻辑推导出来的一种论点。

Differential Difference Equation; Neutral Functional Differential Equation; Stability Switch; Characteristic Equation; Stability; Liapunov Method; Monotone Semiflow; Periodic Solution

基础科学，数学，数学分析微分差分系统；中立型泛函微分方程；特征方程；稳定性开关；解的稳定性；李雅普诺夫方法；单调半流；周期解

Before I was fifteen I had mastered differential and integral calculus.

上面标题是"在世的最伟大数学家数学考试不及格"爱因斯坦笑了起来，他如实答道"我从没有数学不及格。"

My performance in the graduate seminars of Differential Calculus and Mathematical and Physical Formulas shows that I have got a good grasp of the fundamentals of mathematics.

我的表现在研究生研讨会的微分学与数学和物理公式表明，我有一个很好的把握其基本的数学。

Professor Chen Xingshen made distinguished contribution in Integral differential coefficient , that influenced development of the whole mathematics.

陈省身教授在整体微分几何上的卓越贡献，影响了整个数学的发展，曾先后主持、创办了三大数学研究所。

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 mathematics model in the form of differential equation was constructed base on the theory of motor timing. Then the model was changed into the form of transfer function.

应用交流电机调速理论，建立了船舶电力推进系统的微分方程形式的数学模型，再将其转化为传递函数形式的数学模型，应用Matlab语言进行了动态特性仿真计算。

The mathematical thought reflected in these researches were, actually, different from modern Game theory, but, still, it showed the possibility of dealing with Game problems with mathematic tools, and meanwhile, the thought of differential game theory in the early time was included in these researches, which in a way inspired the establishment of Game theory.

在这些研究中所包含的数学思想与现代博弈理论的思想基本上是不一样的，但电反应出了用数学工具处理博弈问题的可能性，同时也包含了早期微分博弈的思想，对以后的微分博弈理论的创立有一定的启发作用。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。