空间积分抽样相位理论分析为消减欠采样产生的折叠混淆效应提供了理论依据。
Phase theory analysis of spatial integral sampling provide theoretical basis for under sampling aliasing reduction.
平面中的通量和空间中的通量有很大区别，在平面中，通量仅仅是线积分的另一种形式，而在空间中，它表现为曲面积分。
Flux looks quite different in the plane and in space because, in the plane, it is just another kind of line integral, while in space it is a surface integral.
那么，到目前为止，我们已经学了空间中的三个重要的积分。
So, at this point, we've learned about three kinds of beasts in space.
基本上说是从下周末开始，学习三元积分，空间线积分等等。
I mean, basically starting at the end of next week, we are going to do triple integrals, line integrals in space and so on.
并且这个积分常数,取决于剩下的变量,它可能是y的函数，或者在空间中是y和z的函数。
And that integration constant typically depends on the remaining variables that might be y or equal in space y and z.
也就是二重和三重积分的内容，以及平面和空间中的向量积分。
And so that was stuff about double and triple integrals and vector calculus in the plane and in space.
也就是在积分过程中,把空间中的所有小块的表面累加起来。
That means we will be integrating, we will be summing over all the pieces of a surface in space.
我们换一个话题,开始今天的内容，线积分和3维空间中的“功”
Let me just switch gears completely and switch to today's topic, which is line integrals and work in 3D.
给出曲面积分在空间坐标的正交变换下的一个计算公式。
A calculating formula for surface integrals under orthogonal transformation of space coordinates is given.
那么在一个空间上的区域的三重积分，对标量dV做积分。
OK, so triple integrals over a region in space, we integrate a scalar quantity, dV.
讨论局部对称空间中具有平行平均曲率向量的子流形，得到其关于第二基本形式模长平方的积分不等式的相关定理。
This paper discusses submanifolds with parallel mean curvature vector in local symmetric Spaces and obtains integral invariants about the square of modulus-length.
计算质量可看成二重或三重积分，这取决于空间维数，取决于密度函数，dA还是。
And mass will be double or triple integral, depending on how many dimensions you have, dV of whatever density function you have, dA or dV.
本文用线载荷积分方程法(LLIEM)研究嵌在弹性半空间的弹性回转轴的扭转问题。
The problem of torsion of elastic shaft of revolution embedded in an elastic half space is studied by the Line-Loaded Integral Equation Method (LLIEM).
利用积分方程方法以及半空间并矢格林函数的快速算法对埋地目标体矢量电磁散射进行正演计算。
Forward electromagnetic scattering by buried objects is computed with the integral equation method and efficient algorithm for half-space dyadic Green's functions.
把一个时间或空间函数分解为具有一定振幅和相位的正弦函数(正弦和余弦)之和(或积分)的过程。
The process of decomposing a function of time or space into a sum (or integral) of sinusoidal functions (sines or cosines) with specific amplitudes and phases.
对于空间曲线上的第二类曲线积分也有类似的公式。
Similar formulae hold for a line integral of the second type taken over a space curve.
本文根据湍流统计理论和野外观测数据，详细分析了林带背风面湍流自相关、空间相关和湍流积分尺度特征。
In this paper, autocorrelation, space correlation, and integral scale of turbulence were discussed, using theory of turbulence statistics and field observation data.
本文从现代控制理论出发，利用状态空间法，与积分调节相结合，提出了一个简单实用的控制算法。
In this paper, based on the state space method of the modern control theory as well as the integral regulation, a simple and practical control algorithm was proposed.
流场求解时采用中心差分的有限体积方法对空间通量项进行离散，采用显式推进方法进行时间方向的积分。
The spatial flux terms are discretized by using central difference scheme and the time integration is performed by using explicit scheme in the flow solver.
用积分变换和积分方程研究多孔饱和半空间上刚性圆板的垂直振动问题。
The vertical vibration of a rigld circular plate on a poroelastic half space is studied by using the technique of integral transform and integral equation.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
采用矩阵分解的方法，从柯林斯衍射积分公式出发，对高斯光束通过失调空间滤波器的传输特性进行了分析，得到了相应的解析式。
Based on the method of matrix decomposition, and the Collins diffraction integral formulae, the propagation characteristics of a Gaussian beams passing through misaligned spatial filter are studied.
课程内容包括空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as vectors and analytic geometry derivatives integration and series.
空间太阳望远镜(SST)系统采用图像积分方法提高太阳矢量磁图的信噪比(SNR)。
In the space solar telescope (SST), the image integration method is used to increase signal-to-noise ratio (SNR) of the solar magnetic field images.
掌握常见的曲面方程的识记规律，不仅能轻松建立空间图形，而且为多元函数积分学的学习打下坚实的基础。
To master the law of common surface equation, not only can easily establish a space graphics, but can lay a solid basis for learning multi-function.
但是，由于涉及椭圆积分，一般又不具有均匀电荷环空间势分布的对称性，求解和讨论是比较困难的。
However, because this problem involves elliptic integrals, generally not possessing symmetry of a uniformly charged ring, it is difficult to solve and discuss it.
分析无穷空间点源扰动函数积分形式的解。
The solution in integral form of Green's function of a point source in infinite space is analysed.
分别应用平面近似法和积分方法推导出在散心爆轰的数值模拟中，人为粘性系数和空间步长之间的匹配关系。
The matching relation between the viscosity and the mesh size was obtained using planar approximate method and integral method in the numerical modeling of divergent detonation.
结论非对称迭代方法是解微积分方程的又一有效方法，它能够解决半序空间中对称迭代法无能为力的问题。
Conclusion Non-symmetric iteration method can efficiently solve the integral equation, and some problems which symmetry iteration method is not able to deal with in the semi-ordered space.
讨论了与冰晶体压力相关的相变温度变化对空间离散系统数值积分和应力计算的影响。
The paper also deals with the influence of pressure variety of ice crystal on temporal integral step-length and calculation of stress-field.
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