化学势，从基本方程上说，就是A对N的偏导，因此对A取N偏导，因此化学势也能，用正则配分函数表示。
The chemical potential from the fundamental equation up here is the derivative of a with respect to the number of particles.
给出的挠度函数满足薄板的基本微分方程、全部边界条件以及角点条件。
The deflection functions given satisfy the differential equation of thin plate, all the boundary conditions as well as the conditions at free corner points.
文中采用陈至达(1962年)的光测应力分析基本方程，并导出适合于光弹性数据处理的三次样条函数。
Basic equation of photoelastic stress analysis by Chen (1962) is adopted; and a cubic spline function suitable for processing of photoelastic data is derived.
由流动的连续性引进了流函数，使流体动力学基本方程的未知量的个数减少一个；
Because of the continuity of the flow, the stream function is introduced and it makes that the numbers of the fluid dynamical basic equation is cut off one.
针对一种复杂的应变能密度函数形式，在平面位移情况下，对定义在初始构形上的超弹性基本方程进行了直接的解析求解。
The plane displacement of hyperelasticity was discussed. Aimed at a complex strain energy density function, a group of hyperelasticity governing equations defined on initial configuration were solved.
通过理论分析和试验，导出汽心泵稳定工作的基本方程和性能参数之间的函数关系；
The fundamental equation of vapor pump and the functional relationship between, parameters are derived at stable operating condition in this paper.
由于准则方程的高次非线性和复杂性，文中利用复合函数求导法则，直接针对基本随机变量求解。
Because of the complexity and high order nonlinear property of the criterion, a derivative method for compound function is used to get reliability.
对遥感方程核函数的基本性质进行了讨论。
The properties of the kernel functions of the remote sensing equations have been discussed.
其次，在数值求解该组方程的过程中，未知函数裂纹表面位移差被近似为位移差的基本密度函数与多项式之积。
Then these equations are solved numerically by approximating the unknown displacement difference to a product of the fundamental density function and polynomials.
从实际的晶体硅太阳电池电路基本方程出发，推导出晶体硅太阳电池最大功率下负载的函数表达。
Based on the equation of silicon solar cell current intensity, the theoretic expression of silicon solar cell load resistance at maximum power point is deduced.
根据各向异性矩形板平面应力问题的基本方程精确地求得了位移函数的一般解。
Based on the fundamental equation of an anisotropic rectangular plate in plane stress problem, an accurate general displacement solution is obtained.
将一个场变量取作为其余场变量和时间的函数并对这个函数建立基本偏微方程。
One of the field variables is considered as a function of other variables and time, and the fundamental partial differential equation for the function is established.
用求解常微分方程及其初值问题的方法得到由函数方程表示的基本初等函数。
The basic elementary functions represented by functional equations were obtained by using the methods of solving ordinary differential equations and initial value probe.
把平面问题的物理量和基本方程全部改写为复数形式，从平衡方程出发引入了复应力函数。
All of the physical quantities and basic equations of plane problem are expressed in terms of complex variable form. From the equilibrium equations, the complex stress functions are introduced.
在本文的绪言中介绍了几类迭代函数方程，并对与之相关的一些基本结果作了一个简要介绍。
Some kinds of iterative functional equations together with some basic results are introduced in Chapter 1.
本文讨论了福克-普朗克方程的两种基本解法，即本征函数展开和路径积分方法。
Two basic methods of solution of the Fokker-Planck equation, i. e. the method of the representation of eigenfunction and that of the path integral, are discussed.
采用统计学描述方法，从泊松分布导出的响应函数作为热释光剂量响应的基本方程，将线性、亚线性和超线性响应进行统一的描述。
It is assumed that a dose response function derived from the statistical poisson distribution can be used to describe the TL dose responses.
介绍了奇异函数的特点，利用奇异函数建立了一种新的高层结构竖向构件分析模型，给出了基本柔度矩阵方程，并讨论了方程的基本性质和意义。
By use of singularity functions, a new analyzing model of vertical member in structural analysis of high rise buildings was established, and the matrix equation was also presented.
第二章由基本定律得出了各热力学函数之间的普遍关系式，它们与物态方程相结合，成为确定物质平衡态性质的依据。
In chapter two, some fundamental equations of thermodynamic functions are obtained which become criterions of equilibrium along with the state equations.
本文方法基本未知函数少，基本方程易解，计算精度较高。
This method has less unknown functions and higher calculating precision. Moreover, the governing equations are easy to establish and solve.
本文方法基本未知函数少，基本方程易解，计算精度较高。
This method has less unknown functions and higher calculating precision. Moreover, the governing equations are easy to establish and solve.
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