积分的

To find the partition function at finite temperature, go to imaginary time, t →-it, and

为了找出有限温度下的配分函数，在虚时间下t→-it，对反对易变数和，积分

To find the partition function at finite temperature, go to imaginary time, t →-it, and integrate over the anticommuting variables and

为了找出有限温度下的配分函数，在虚时间下t→-it，对反对易变数和，积分

For practical application the integrals in (3.79) and (3.80) have to be replaced by finite series.

为了实际应用，（3.79）和（3.80）里的积分项必须用有限级数代替。

The third chapter, we shall discuss the first integral of the analogous peg-top system.

第三章主要给出类陀螺系统的一个首次积分。

Secondly, applying the first integral method, exact solutions for a kind of reaction diffusion equations are gained.

二、应用首次积分法求解了一类反应扩散方程，得到了一些新的精确解。

The computation results show that compared with the traditional FLIC, the computation efficiency of the improved algorithm increases by approximately 10%, and it can generate sparse texture and dense texture simultaneously. Also the property of result image was improved using double LIC algorithm.

计算结果表明，与一般的快速线积分卷积法相比，改进后的算法计算效率提高了约10%，同时可以产生稀疏纹理和密纹理，并且采用二次LIC法对图像进行后处理提高了可视化效果。

The effects of treatment were monitored by arthritis index,footpad thickness,microvessels density as well as the expression of vascular endothelial growth factor protein and mRNA in the synovium.

检测关节炎指数积分和炎症足垫厚度，免疫组化计算滑膜微血管密度，W estern B lot和RT-PCR方法分别检测滑膜血管内皮生长因子蛋白和mRNA的表达。

This integral can be evaluated, of course, only when the force is known as a function of the time.

显然，只有知道了力与时间的函数关系后，这个积分才能进行计算。

The hardware contains parallel lights insurement. Panoramic Annular lens. CMOS imaging device. 3-D control.The software achieves numerical integral, numerical differential coefficient, fast fourier transfer. smoothing process in the Matlab.

硬件主要由平行光管、全景环形成像镜头、CMOS成像器件、三维调节系统这么几部分组成，软件是以Matlab为平台实现了数字积分、数字微分、快速傅立叶变换、平滑处理等方面的工作。

The exact solutions are then obtained for the equations characterizing flows of such fluids under an arbitrary pressure gradient by the method of integral transforms (Fourier Cosine transform and Laplace transform).

运用积分变换方法(Fourier余弦变换和Laplace变换)，求得了在任意压力梯度下流体运动方程的精确解。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。