应用数学

Cutting discontinuities's 3-D model could get cutaway view and date directly on AutoCAD plat, it will be good for research instability clastic mass. The author select rock mass from damsite in Laxiwa hydroelectric station as object to which information processing system on rock mass structure is applied.

通过结构面的数学建模，使采集所得结构面数据的处理实现了信息化，程序化，应用多功能数据库在计算机上人机交互划分岩体结构，初步实现岩体结构的信息化，并且通过结构面与相关实体的真三维实体模型的建立，既可清晰直观的展示结构面模型的空间形象，又可容易的切割模型并获取切图的数据，对不稳定块体的分析研究提供了强有力的辅助手段。

It is found that, with the increasing in the packed saturator's working pressure, the outlet air can be easier saturated, but the absolute humidity of the outlet air decreases.

应用该数学模型分析了压力变化对加填料饱和器传热传质的影响，同时讨论了沿加填料饱和器高度方向的传热传质过程。

Higher algebra is an abstract and theoretical subject.In the teaching,it is hard to join the examples with the real life.This gives people the impression that learning algebra is not useful.

高等代数是一门抽象性和理论性较强的学科，在教学中所涉及的例子较少能与实际生活密切相连，让人感觉到学习的内容与生产实践脱节，体现不了数学的应用价值。

Never before have so many people applied such abstract mathematics to so great a variety of problems.

以前从没有如此多的人把那种抽象的数学应用在如此多的问题上。

Never before have so many people applied such abstract mathematics to modern large-scale production.

以前从来没有过这么多人把这样抽象的数学应用到现代的大规模生产中。

This comprehensive text links abstract mathematics to engineering applications in order to provide a clear and thorough exploration of fluid dynamics.

这一全面的文本链接抽象数学的工程应用，以提供一个明确和流体动力学，深入探索。

The main factors affecting the soil-structure interface behaviors were found experimentally and theoretically, including: 1 the thickness of the interface that is five to six times the average grain size of the soil; 2 the aeolotropy of interface, which is responsible for anisotropic response of the stress-strain response of the interface; 3 two physical states, including crashing and compression of the soil near the structure surface, which govern the stress-strain response of the interface strongly; 4 two shear deformation components due to sliding and constraint of the structure surface relative to the soil respectively, which forms the deformation of the interface; 5 the volumetric strain due to dilatancy, which is found to be composed of a reversible dilatancy component and an irreversible dilatancy component. 4. A unified constitutive model of the interface, based on new elasto-plasticity damage theory, was developed. It was confirmed to be effective for the conditions considering monotonic and cyclic shearing, coupling effect of shear and volumetric strains, evolution of physical state, micro-structure aeolotropy of the soil and the resulting aeolotropy of the interface as well as the three normal boundary conditions stated above. 5. 2D and 3D finite element formulations of the present model were derived and incorporated into the FEM codes. They were applied to the evaluation of practical engineering problems with different typical interfaces between soil and structure. The new model was shown to be reasonable and effective.

确定了粗粒土与结构接触面厚度约为5～6倍的平均粒径，首次揭示了接触面的细观结构异向性以及由此所引起的宏观剪切异向性，发现了在单调和往返剪切荷载作用下土颗粒破碎和剪切压密两种物态变化机制共同支配着接触面力学性质的变化，通过细观分析证实了接触面的变形可分解为一般同时发生的土与结构交界面上的滑移变形以及结构面位移约束范围之内土体本身的剪切变形两部分，观测到接触面受剪时表现出明显的相对法向位移，并可分解为可逆性和不可逆性两个分量；(4)建立了第一个能够统一地描述单调与往返剪切特性、剪应变与体应变耦合特性、细观结构和宏观剪切异向性以及土颗粒破碎等物态变化特性的土与结构接触面弹塑性损伤本构数学模型，并采用多种法向边界条件复杂加载路径的试验成果验证了新模型的合理性和有效性；(5)提出了新模型的二、三维有限元格式并结合实际边值问题进行了应用计算分析，比较了不同接触面本构模型对计算结果的影响，证实了新模型及其有限元格式不仅能够合理地描述土与结构接触面的主要力学特性，还能够较好地反映土体与结构物在接触面处的滑移、脱开等不连续现象。

In this article,the authors analyze the aiguille voltage of the whole-bridge DC source converter circuit according to the mathematics model when the MOSFET transistor is shut and the instant voltage equations are obtained.

对直流电源变换器的常用电路型式进行了具体工作过程分析；根据所建立的数学模型，分析MOS管关断瞬间的尖峰电压，得出其瞬间电压方程，并应用PSPICE软件的仿真结果对其进行验

The experimental psychology of mental retardation, 231-322, Chicago: Aldine.

蓝璋琛 (1991)，自我教导法在启智班数学教学上的应用，特教园丁， 7(1)， 6-8。

This paper has researched the airplane ground job operation using earliness and tardiness scheduling with distinct due windows,the mathematic model is established by fuzzy programming ,the uncertain processing time are denoted by the triangle fuzzy numbers,and simulation using particle swarm optimization is given to illustrate the efficiency of the presented models and the optimal algorithms.

对具有不同时间窗的提前/拖期调度方法应用于飞机地面作业调度进行了研究，用模糊规划建立数学模型，用三角模糊数表示了地面作业中时间的不确定性，应用粒子群优化算法对模型进行了仿真。

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。