我用算数不行，用方程总行了吧！
用方程(4)可简单推导相速度和周期的关系。
Equation (4) permits a simple deduction of the relation between the phase velocity and the period.
偶然[的机会下，人们发现了]用方程库进行工作的第二优势。
There was a serendipitous second advantage to working with a library of equations.
如表所示，用方程（18）求出的R值其误差可能会高达20%。
The value of R by (18) may be in error by as much as 20%, as shown in the table.
你们的那一套鬼方程也许可以预言星球的诞生，但是上帝……上帝可没法用方程来预测。
You're equations may predict the planets, but God... he's immune to equations.
根据这种关系，可以用方程迭代求根方法中的增值寻根法和对分法，使网格边界正交化。
Based on this relation, boundary orthogonalization can be achieved by the search method of stepwise extension and the bisection algorithm with iterative methods in solving equations.
这个数值是用及其巧妙的方程解出来的。
有些运动主要涉及整体的垂直或水平运动，其中转动可以忽略，可以用三维线性运动的简单方程来研究。
Some movements involving primarily vertical or horizontal motions of the body as a whole, in which rotations can be ignored, can be studied using simple equations of linear motion in three dimensions.
用非线性振动方程描述了球摆在 z 方向上的运动。
The motion of spherical pendulum in z-direction is described by nonlinear oscillation equation.
用这个拉格朗日方法，你是不能保证解出这个方程组的,你只能对着它想。
There is no general method for solving the equations that you get from this method. You just have to think about them.
总的来讲，所有你想解决的问题，都可以用偏微分方程来做。
Basically, to every problem you might want to consider there is a partial differential equation to solve.
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.
我们用两个方程来描述一条直线,两个方程告诉我们平面相交于直线。
So, we could describe a line by two equations telling us about the two planes that intersect on the line.
相反，为了证明“红色效应”，我应该使用一张一个老男人用红笔求解微分方程系统的图像。
Instead, to demonstrate the "red effect" I should have used an image of an elderly man solving a system of differential equations using a red pen.
我们这里讲一些例子，来说明这个这个方程怎么用。
人脑很复杂，我们用大脑除了完成许许多多的日常事务外，还谱写协奏曲，发布宣言以及算出漂亮的方程解。
The human brain is complex. Along with performing millions of mundane acts, it composes concertos, issues manifestos and comes up with elegant solutions to equations.
用示例代码转至目录，运行发送方和接收方程序。
Go to the directory with the sample code, and run the sender and receiver.
然后，旧的和新的坐标之间的关系，可以用线性方程表示，至少当我用相同的初始坐标时。
And then, the relation between the old and the new coordinates is going to be given by linear formulas at least if I choose the same origin.
当然也有另一种方法，就是用参数方程表示这两条直线，用两条直线的方向向量作外积，从而得到切平面的法向量。
Another way to do it, of course, would provide actually parametric equations of these lines, get vectors along them and then take the cross-product to get the normal vector to the plane.
我们学过矩阵乘法的，以及用矩阵表示线性方程。
OK, so we've seen how to multiply matrices, and how to write linear systems in matrix form.
用这个公式也可以算，不用重新，列牛顿方程了。
You could also have used this equation and not go through this trouble of setting up Newton's Law again.
我们可以用下面的方程序为这个项目的迭代持续度定义一个度量。
We can define a metric for the project's iterative adherence with the following equation.
也许我们不知道如何直接用x，y表示，但是曲面是由某些方程给出的。
z Maybe we don't know how to solve for z as a function of x and y, but our surface is given by some equation.
麦克斯韦方程组用矢量的形式重新表示，并利用狭义相对论你的对称性。
Slide-shows original equations, then equations re-written as vector analysis, then using the symmetry of special relativity.
写定义交通密度，哪里是公路段的长度。方程(1)现在可以用密度来书。
Define traffic density as, where is length of the road segment. Equation (1) can now be written in terms of density.
用边界元方法求解平面拉普拉斯方程时必须计算两个矩阵。
Two matrices have to be calculated when solving plane Laplace equation by the use of BEM.
温度场与浓度场是用联立能量与组份守恒方程以及相似的速度场求解得到的。
The temperature field and concentration field are solved by coupling the energy and species conservation equations as well as the velocity similar solution.
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).
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).
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