数学

Based on the theory of physics and material mechanics, this paper analyses the variation principle of the paper ribbon tension between each printing unit; establishes the mathematic model of unwinding, tension variation between each printing unit and the dynamics model of the dancer rollers.

基于无轴试验平台建立了纸卷开卷的数学模型、机组之间张力变化的数学模型以及张力调节辊的动力学模型。

In chapter 4, some vector mathematical definitions are first given to position tolerance zones; second, the principle of variation geometry is introduced, and the mathematical foundation of automatic generation of a approximate linear equation of tolerance design function by variation geometry is first proven; tangent method and two-point slope method based variation geometry are main studied.

第四章首先对一些位置公差带给出了矢量化的数学定义；然后介绍了变动几何的原理，首次论证了变动几何能产生近似线性公差设计函数的数学依据，并着重研究了基于变动几何的切线法和二点斜率法。

The mathematical model of coal-bed methane seepage is established considering slipped effect, giving the weak form of the differential equation based on the principle of virtual displacement, hereby writing FEPG program. Using FEPG system's all the source program of the finite element which considers the mathematical model of coal-bed methane seepage of slip effect the numerical solution is sought.

建立考虑滑脱效应的煤层气渗流数学模型，给出了基于虚位移原理的微分方程的弱形式，据此编写了FEPG程序，利用FEPG系统生成了考虑滑脱效应的煤层气渗流数学模型有限元问题的全部Fortran源程序，并进行了数值求解。

One target to study the network performance is to find out the mathematical expressions between each measure. Probability, Random Process and Queuing Theory are important and useful mathematical tools for network analysis.

求出反映定量指标间关系的数学表达式是研究网络性能的目标之一，而概率论、随机过程和排队论是进行网络性能分析的重要数学工具。

Tim Phillips is Professor of Mathematics and Professorial Fellow in the School of Mathematics at Cardiff University.

菲利普斯是在数学和数学学院教授，教授级研究员英国卡迪夫大学。

First of all, the physical properties of plastic projectile body influencing the motion of pro- jectile are analysed in this paper which depends on the test results.

本文以实验结果为依据，首先分析了塑料弹体影响弹丸膛内运动的物理性能，然后结合旋转弹丸的膛内运动特征，经过模拟试验，采用数学拟合法，初步建立旋转稳定弹塑料弹体工程设计计算的数学模型(包括结构尺寸设计计算、强度计算和内弹道计算)。

A tolerance analysis procedure based on homogeneous transform and Monte Carlo Simulation is proposed in this research. The propagation of variation in 3-D space is treated as propagation of errors during transformations of Cartesian frames, which are set up on the Key Characteristic Points.

通过定义车身装配坐标系统，根据微分运动的原理，建立了计算车身零部件位姿关系的数学模型，对典型公差语义的数学表达进行了研究；并应用蒙特卡洛模拟，对关键特征点偏差传播的统计特性进行了分析。

Prelinearity residuated-lattice; BL-algebra; BR_0-Algebra; Propositional Calculus System PL~*; Weak Lattic Implication-Algebra

基础科学，数学，数理逻辑、数学基础预线性剩余格； BL代数； BR_0代数； PL~*系统；弱格蕴涵代数

In the following two cases:(1)gcd=1;(2) N=p〓, where p denotes the characteristic of the finite field GF, by using the factorization of the polynomial in finite field, the counting function N〓 is showed, the expected value of the linear complexity E〓 is determined, and a useful lower bound on the expected value of the k-error linear complexity E〓 is established.(7) The stability of the lattice structure for pseudorandom number sequences is put forward.

利用多项式的因式分解等简单工具，研究了任意有限域GF上，周期N与p互素以及N ＝P〓这两种情况下，计数函数N〓，的值，即线性复杂皮为c的N-周期序列的个数，并给出了线性复杂度的数学期望E〓的值以及k-错线性复杂度的数学期望E〓的一个有用的下界，这里p表示有限域GF的特征。

In the following two cases:(1)gcd = 1 ;(2)N = p~v, where p denotes thecharacteristic of the finite field GF, by using the factorization of the polynomialin finite field, the counting function N_(N,0) is showed, the expected value of thelinear complexity E_(N,0) is determined, and a useful lower bound on the expectedvalue of the k-error linear complexity E_ is established.(7) The stability of the lattice structure for pseudorandom number sequences is putforward.

利用多项式的因式分解等简单工具，研究了任意有限域GF上，周期N与p互素以及N = p~v这两种情况下，计数函数NN，0 的值，即线性复杂度为c的N-周期序列的个数，并给出了线性复杂度的数学期望EN，0的值以及k-错线性复杂度的数学期望EN，k的一个有用的下界，这里p表示有限域GF的特征。

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。