注意，大家需要知道，如何建立和计算这种形式的线积分。
Remember, you have to know how to set up and evaluate a line integral of this form.
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.
重新分解积分域。。。,我的目标是，用另外一种形式重写这个积分。
The other way around, I have to, so my goal, now, is to rewrite this as an integral.
我指的是，在这种形式下，它和一元微积分的表述是一样的。
I mean, in this form, actually it's the same statement as in single variable calculus.
通常我们求解它的时候要把它写成，积分形式，然后再积分，当然我们会做积分。
And typically we'll solve it by rewriting in integral form and then doing the integration as long as we can do the integration.
不管哪种形式，都把线积分和二重积分联系在一起，来看看，能不能通过化简得到昨天的公式。
No matter which form it is, it relates a line integral to a double integral Let's just try to see if we can reduce it to the one we had yesterday.
这与温度有一点点关系,这是积分形式的范特霍夫方程。
dT And this could be slightly temperature dependent. dT And this is the integrated van 't Hoff equation.
积分形式的静磁学。磁多极。磁矩与角动量之关系。
Integral Forms for Magnetostatics. Magnetic Multipoles. Relation between Magnetic Moment and Angular Momentum.
第二部分将通常的积分平均值不等式推广成一般形式，并利用它给出一些不等式的证明。
The part two general forms was derived with general integral average inequality and Some inequality was proved with this result was obtained above.
这些积分中的第一个被看成是对数形式，而第二个被看成是反正切形式。
The first of these integrals is seen to be a logarithmic form and the second the inverse tangent form.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
同时，考虑到路面扰动输入对悬架控制的重要影响，建立出积分白噪声形式的路面不平度数学模型及正弦激励模型。
Considering the influence of the input disturbance, a mathematical description of road surface irregularity is established, which is the model of integral white noise and inspire with sine wave.
牛顿第二定律实质上是动量连续性方程的积分形式，因而，力可以被理解为动量流。
Forces can be visualized as momentum currents, for Newton's Second Law is equivalent to the continuity equation for momentum in integral form.
本文运用叠加原理，从麦克斯韦方程的积分形式出发推导出在交变电磁场中储藏在电容器中的电场能量，并且指出了决定电容器电容数值的因素。
The energy of electric field stored in the capacitor placed in an alternating electromagnatic field is concluded by using the principle of superposition and by starting with Maxwell equations.
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.
本文定义了象差积分函数，导出了形式简洁的全部二级象差函数。
By defining integration function, all second-order aberration coefficients have been expressed in compact form.
根据引力场的两个定理，导出了引力势的微分和积分形式。
Consequent differential form and integral form of gravitational potential are deduced from the two laws of gravitational field.
对一级串、并联反应模型，求出了反应速度方程式的积分形式。
The integration equations were obtained for the first-order series-parallel reaction model.
首先将非线性薛定谔方程变形为齐次方程的形式，然后用精细积分法模拟其随时间的演化过程。
First of all, a non-linear Schrodinger equation can be converted into homogeneous equations, and then the precise integration method can be used to solve these problems.
从而得到了圆柱体相对转动动力学方程的积分形式表达式。
Thereby expression of integral form of the relatively rotation dynamics equation of the cylinder is gained.
进而将积分方程形式的特征值问题转化为无穷阶矩阵的标准特征值问题。
And the eigenvalue problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order.
推广的序贯估算法有两种形式：1。积分误差协方差矩阵，2。积分状态转移矩阵。
There are two forms of extended sequential estimation algorithm: 1. integrating error covariance matrix; 2. integrating state transition matrix.
对于数列通项含有积分的极限问题，文章以定理形式总结概括出两类数列极限存在的充分条件，并附以实例。
As to the limit question of integral included in sequence terms, the paper summarizes two adequate conditions for integral limit from the theorem and provides some examples.
本文由力学的普遍原理——虚功原理推导出了三维情况下J积分守恒的一般形式；
The general form of J-integral conservation law in three dimensions has been derived from the principle of virtual work.
在构造了完备化空间之后，证明了该空间就是勒贝格可积函数空间，从而说明了黎曼积分的完备化形式是勒贝格积分。
After constrcting the perfective space prove that this space is just the space of lebes gue integratiable function thus explain that lebes gue integral is the form of the perfective riemann integral.
针对采用液体推进剂火箭发动机的空间推进系统，推导了系统液路和气路的通用积分形式方程。
The general integral equations are derived for liquid and gas components of space propulsion systems with liquid propellant rocket engine.
本文讨论了配位多面体的群重叠积分计算问题，给出了这种群重叠积分的一般形式以及它们满足的一些关系。
The formulation of group overlap integrals in coordination polyhedra is discussed. The basic expressions and some sum relations of group overlap integrals are given.
给出了变系数二阶齐次线性常微分方程的一种积分形式解和几类变系数二阶齐线性常微分方程的普遍解。
The solutions of interal form and the general solutions of some second order homogeneous linear differential equations with variable coefficient are given.
更为重要的是，广义动量表示的拉格朗日方程较之传统形式的拉格朗日方程在辛积分中表现出独特的优越性。
More importantly, the generalized momenta based Lagrange's equations show unique advantages over the traditional Lagrange's equations in symplectic integrations.
该方法是将互感线路的伏安特性方程转化为积分形式，并采用了最小二乘法求解方程组，同时得出各线路的零序自阻抗及线路间的零序互阻抗。
The new method turned the volt-ampere characteristic equation of transmission lines into an integral form, then used least square method to solve the equations and got the zero-sequence parameters.
应用推荐