数学公式

According to the analysis results, the dissertation gives the deformation and plastic zone curves family of the rocks of four different superincumbent depths and makes fitting analysis on the curves to obtain corresponding displacement formulation in quadratic polynomial form.

研究洞群稳定时以分析主厂房的下游边墙关键点位移或围岩塑性区为主，并通过回归分析的数学方法推求各种条件下的洞壁位移预测公式。

The formula of magnetic field intensities of two coaxialcyclindrical glass tubes in vertical field and transversalfield were derived.

用电动力学和数学物理方法推导了垂直场和平行场中同轴双管中磁场强■公式，从理论上分析了磁化率对NMR谱线影响及U形峰。

FORmula TRANslation; high-level programing language for mathematical and scientific purposes.

公式翻译；数学科学用途的高级程序语言。

According to actual condition, a model of wall thickness of rotary kiln is established. The constant coefficients in the model, including thermal conductivity, heat transfer coefficient, Fourier coefficient and contact resistance, are closely calculated. A formula of contact resistance is draw from a great deal of data of surface and inner temperature of rotary kiln. The wall thickness of rotary kiln is simulated by MATLAB. The simulation result is transmitted from MATLAB to DELPHI through a group of interface functions compiled by VC++. The basic graphs-circle and line are analyzed by the means of the technique of Visualization in Scientific Computing and the Bresenham arithmetic, and are realized the visualization of the wall thickness. The contents of communication between master computer and slaver computer are designed and the error control technique, the idea of multi-thread and the embedded assembly language are applied to realize the temperature data transmission and graph transmission, which largely improved the speed of transmission and the reliability and stability of system.

建立了符合现场实际的回转窑壁厚数学模型；结合现场采用红外测温仪测量所得的温度数据和回转窑的实际结构数据，确定出适合该模型的定常系数(包括导热系数、换热系数、傅立叶系数、接触热阻等)，并得出与回转窑工况的相近的接触热阻公式ln=T~(0.5154)-36.7868；利用MATLAB软件仿真出回转窑壁厚，并将运算结果通过在VC++的编译环境下编译出MATLAB和DELPHI的接口函数传输到该监测系统中，实现了温度数据的转换和交换；运用科学计算可视化技术和Bresenham扫描转换算法对基本图形——圆和直线进行分析，从而实现了仿真后的壁厚数据可视化；在研究异步串行通信方式的基础上，设计了该系统上下位机功能和通信内容，并运用差错控制技术、多线程思想以及嵌入式汇编语言实现了温度数据和图形数据在上下位机之间的远程传输，提高了数据传输的速率和系统的可靠性、稳定性。

Based on the fundamental theory of impulsive differential systems, employing Green formula, Gauss divergence theorem, Jensen inequality and Gronwall-Bellman inequality with impulse, we discuss the oscillation of impulsive partial differential systems by adopting reduction to absurdity and the stability in via of comparison theorem, respectively. Especially, we take an in-depth study on the oscillation of neutral impulsive parabolic systems and the stability of a class of nonlinear impulsive partial differential equations and obtain some useful conclusions.

本学位论文以脉冲微分系统基本理论为基础，利用反证法的分析方法和比较定理，结合Green公式、Gauss散度定理、Jensen不等式、含脉冲的Gronwall-Bellman不等式以及相关数学工具研究了脉冲偏微分系统的振动理论和稳定性理论，特别对中立型脉冲时滞抛物系统的振动性和一类非线性脉冲偏微分系统的稳定性作了较为深入的研究，给出了一些有用的结论。

A calculating method for finding the induced geodesic torsion was developed by using differential geometry and other mathematics tools.

为了分析线接触共轭齿面的诱导短程挠率，并清楚地诠释有关公式及计算推导的过程，运用微分几何、向量代数、线性代数等数学工具，寻找了一种计算诱导短程挠率的方法。

In this paper the conflicting discussion of scholastic view-point on seepage force which has lasted many years is stated. Then the physical concept of seepage force and its related forces including the resolved two components (a seepage force and a buoyant force) from seepage resultant force, the transformation between the seepage force and boundary pore water pressures, schematic diagram of forces acting on unit soil mass and the mathematic proof by Green theorem are described.

追述了多年来对渗透力学术观点的争论，并再就此问题论述了渗透力的物理概念及其与之相关的各力（包括渗流作用合力及其分解成的两个分力，渗透力与周边孔隙水压力的转换关系及各力作用在单位土体的图示；从数学上引用格林公式，证明土体表面水压力与土体本身渗透力之间的转换关系。

This paper put forward a recurrence formula through calculation and synthesis,based an harmonic series theory.

通过计算、综合、证明等步骤，得出飞机空中加油问题的递推公式，并以调和级数等相应的数学理论为基础来解决。

A homomorphism that maps a mathematical set into itself.

他的公式严重缺乏数学上的严密性。

Starting with diagrammatic methods in linear algebra,this paper reviews the mathematical basis for spin network s,proves again loop operator and binor identity,and computes some formulas about spin network s.

从线形代数的图解方法出发，对自旋接网圈的数学基础做出回顾，并重新推证了圈算符和双元恒等式，计算了关于自旋接网圈的一些计算公式。

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。