Einstein's equations showed the universe to be expanding.
爱因斯坦的方程式表明宇宙正在扩大。
He was struggling to find the right equations that would describe his new concept of gravity, ones that would define how objects move through space and how space is curved by objects.
他一直在努力寻找合适的方程来描述他的新引力概念，这些方程将定义物体如何在空间中移动，以及物体是如何扭曲空间的。
Computers cannot accurately predict climate change unless the mathematical equations fed into them adequately capture the natural meteorological processes they are intended to simulate.
计算机无法准确地预测气候变化，除非输入计算机的数学方程充分地捕捉它们想要模拟的自然气象过程。
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.
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。
By 1545, Gerolamo Cardano compiled the works related to the quadratic equations.
到1545年，卡达诺编写了有关二次方程的著作。
Couple of differential equations.
几个微分方程。
What if these equations are slightly off?
如果这些方程稍微偏离一点会怎么样呢？
I am not going to write parametric equations.
我不准备写参数方程。
Electricity and Magnetism: Maxwell's equations.
电与磁：麦克斯韦方程组。
Now we try to apply our Lagrange multiplier equations.
现在我们来用拉格朗日乘数法方程。
But matrices can also represent mathematical equations.
然而，矩阵也同样能够用来表示数学方程。
Some of you may already have solved differential equations.
你们有些人也许已经，解出了微分方程。
So, today, we'll start by looking at the equations of lines.
今天我们要从学习直线方程开始。
In fact, parametric equations of lines always look like that.
实际上，直线的参数方程总是这个样子的。
You all, I'm sure you've all seen equations about equilibrium.
你们所有人，我相信，都见过了平衡态方程。
OK, so we are going to learn about parametric equations of lines.
我们马上就要学习直线的参数方程。
Are there equations of 3d shapes that we should know at this point?
本节是否也有一些3维空间中的方程是我们需要了解的？
This may sound absurd to people who wince at Numbers and equations.
对于在数字和公式面前畏缩的人来说，这听起来也许是荒谬的。
Maxwell's equations actually tell you about div and curl of these fields.
实际上，Maxwell方程组，描述了这两个场的旋度和散度。
So if you rearrange your equations so p1, T1 are now some reference point.
如果你重写这个方程，让p1和T1变成参考点。
RARELY has a report with so many charts and equations in it caused such a stir.
鲜有一份充满表格和公式的报告能够激起如此大的波澜。
It might ask you to just set up the equations, or it might ask you to solve them.
可能只会要你列出方程，也可能是叫你解出方程。
In order to make it perfect, one has to change the signs in some of the equations.
为使之完美，我们不得不改变其中一些方程里的符号。
The second approach is to use calculus to find the equations for estimating m and b.
第二种方法是使用微积分找到用于估算m和b的方程。
The Linpack benchmark is designed to solve a large number of dense linear equations.
Linpack基准设计用来求解大规模稠密线性方程。
This can take the form of prototypes, mathematical equations, or interaction diagrams.
可以采用原型、数学方程或者交互式图表的形式。
Examples include the double helix in biology, and the fundamental equations of physics.
最经典的例子莫过于生物学中的双螺旋结构和物理学中的基本方程。
For your enjoyment, the Wired Science team has gathered nine of our favorite equations.
为了让您也能体会到这种美妙，《连线科学》团队收集了九个我们最爱的方程式。
For your enjoyment, the Wired Science team has gathered nine of our favorite equations.
为了让您也能体会到这种美妙，《连线科学》团队收集了九个我们最爱的方程式。
应用推荐