数学处理

The weighted Moore-Penrose inverse is a special generalized inverse which is an important basic tool in many branches of mathematics and has extensive applications in other fields such as economics, information processing, automatic control, etc. Recently, the study of generalized inverse of matrices associating with more general algebra such as ring, semiring and so on generalize the theory and methods of generalized inverse deeply and characterize the structure of algebra as well.

加权Moore-Penrose逆是一种特殊的广义逆，它不仅是许多数学分支的基本工具，而且在经济学、信息处理、自动控制等其他领域有着广泛的应用，近年来，结合环、半环等更一般的代数系统的矩阵广义逆的研究，不仅将广义逆的理论和方法作了更加深入的推广，而且也成了刻画代数结构的有力工具。

The derivatives of the nonsmooth equations are computed to make the generalized derivative matrix nonsingular. Then the nonsmmoth damped Newton method is used to solve them.Analytic solutions of the KdV equation with variable coefficients: Shallow water wave problems belong to problems of free surface wave, and can be molded by the nonsmooth equations model given above in principle.

在前面建立的非光滑方程组数学模型和固定网格法基础上，利用广义导数的概念给出了求解渗流自由面的一种新方法-----非光滑阻尼牛顿法，该法是对非光滑方程组求导，适当的处理广义导数矩阵使其非奇异，利用非光滑牛顿法求解。

Defatted wheat germ was micronized by comibmed method of hammer mill and colloid mill in order to increase the extraction rate of protein, followed by steps of alkali extraction and ultrafilter concentration, respectively. A quadratic mathematical model was developed statistically by means of Box-Behnken central composite design and response surface methodology.

为了提高麦胚蛋白的提取率，采用锤式粉碎与胶体粉碎相结合的方法对脱脂麦胚进行微细化处理，再用碱提、超滤浓缩法提取制备麦胚蛋白，同时，通过Box-Behnken中心组合设计及响应面分析，建立了预测麦胚蛋白提取率的二次多项数学模型，优化了蛋白质的提取工艺。

The powerful function of a new computer language MATLAB, produced by the America Mathworks company, is the mathematical software system for the calculation in science engineering. It can efficiently solve problems in science and engineering such as numerical linear hypercomplex system, digital approximation, optimization, numerical quadrature etc. It also has characters of beautiful interface and convenience for users.

MATLAB是Mathworks公司推出的适用於科学和工程计算的数学软件系统，可高效地解决数值线性代数、微分方程数值解、数值逼近、最优化、数值积分等科学和工程问题，且具有可视化图形处理、使用方便、开放式多功能於一体的新一代计算机语言。

It will provide some theory for purposely improving on training quality. safety training ; evaluation mode ; hypotaxis function ; fuzzy mathematical evaluation method

本文系依据安全培训的特性，构建培训质量评价指标体系，并应用模糊数学理论，将评价因素量化处理，最终定量值来表示培训质量的结果，从而为客观评价安全培训质量

The method of fuzzy synthetic assessment is one of the most useful fuzzy mathematics methods presently. It is of advantage to deal with conception of experience illegibility, and it transforms uncertainty to certainty in form and quantifies illegibility in order to carry out the transformation from quality to quantity of slope stability evaluation.

模糊综合评判法是目前使用最多的模糊数学方法之一，对处理经验模糊性的事物和概念具有一定的优越性，将不确定性在形式上转化为确定性，将模糊性加以数量化，从而实现边坡稳定性评价由定性描述向定量计算的转变。

This is the most mathematically based area of image processing, and it is also one of the areas with the longest history.

这是最基础的数学领域的图像处理技术，它也是一个地区的历史最长。

Rough set theory is a new mathematical tool to deal with imprecise, incomplete and inconsistent data.

粗糙集理论是一种新的处理不精确、不完全与不相容知识的数学工具。

Rough set theory , proposed in early 1982, is a new mathematical tool in dealing with imprecision and uncertainty.

粗糙集理论是1982年提出的一种处理模糊和不确定知识的数学工具。

Rough Set is a new mathematics theory that can deal with incertitude and incompletion data.

粗糙集理论是一种新兴的处理不精确、不确定与不完全数据的数学理论。

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。