爱因斯坦的方程式表明宇宙正在扩大。
这就是我们要讨论的关于薛定谔方程的能量部分。
That's what we're going to cover in terms of the energy portion of the Schrodinger equation.
你必须联立这两个方程，一个乘以4，另一个乘以3，再加减等等。
You've got to juggle the two equations, multiply that by 4, multiply that by 3, add and subtract and so on.
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.
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。
Computers cannot accurately predict climate change unless the mathematical equations fed into them adequately capture the natural meteorological processes they are intended to simulate.
最重要的一点是，智力是通过你解决复杂问题的能力来衡量的；一定的读写和计算能力；能快速解出抽象方程。
At the top of the list is the notion that intelligence is measured by your ability to solve complex problems; to read, write and compute at certain levels; and to resolve abstract equations quickly.
我必须说，这本没有方程式的书对于各种科学家、任何教授科学的人，甚至是不喜欢物理的人，都是一本理想读物。
I must say this, a equation-free book is an ideal read for scientists of all stripes, anyone teaching science and even people who dislike physics.
爱因斯坦惊恐地发现，希尔伯特把他从爱因斯坦的讲座中学到的东西都拿来了，而且还在争先恐后地首先提出正确的方程式。
Einstein discovered to his horror that Hilbert had taken what he had learned from Einstein's lectures and was racing to come up with the correct equations first.
在1915年的10月，爱因斯坦投身于长达一个月的疯狂工作中。在此期间，他回顾了早先的一个数学策略，并且与方程式、证明法、修正法、数据更新等展开了一番搏斗。
In October 1915, Einstein threw himself into a month-long frantic endeavor in which he returned to an earlier mathematical strategy and wrestled with equations, proofs, corrections and updates.
一级方程式赛车被认为是危险的。印第赛车则被认为更加危险。
Formula One motor car racing is supposed to be dangerous. "Indycar" racing is supposed to be more dangerous still.
该方法设计理论简单易懂，避免了状态方程和驱动方程的复杂计算。
The method is that designing theory is simpleness and being understood is easy and avoiding complexity computation on state equations and drive equations.
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。
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.
到1545年，卡达诺编写了有关二次方程的著作。
By 1545, Gerolamo Cardano compiled the works related to the quadratic equations.
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.
建立了同流环境中沿射流轴线的中心线稀释的理论方程。
The theoretical equation of the centerlinedilution along the axis of jets in coflow ambient is developed.
需要注意的是，得到的色散方程可以分解为两个表达式的乘积。
It is important to notice that the resulting dispersion equation is factorizable in the product of two expressions.
分别采用LSQR和ART算法对欠定方程组进行了层析成像计算。
LSQR and ART algorithms are applied separately to calculate tomography for the underdetermined system of equation.
稳定蠕变应变率本构方程是作用在盐岩上的应力偏量的幂次函数和能量与温度的指数函数。
The steady-state creep strain rate is a power function of deviatoric stress and exponential function of temperature and energy.
现在我们来用拉格朗日乘数法方程。
它们实际在解这些定律的方程。
它们实际在解这些定律的方程。
克莱因-戈登方程需要许多修正。
There was some modification needed in the Klein–Gordon equation.
我们马上就要学习直线的参数方程。
OK, so we are going to learn about parametric equations of lines.
今天我们要从学习直线方程开始。
So, today, we'll start by looking at the equations of lines.
你们有些人也许已经，解出了微分方程。
实际上，直线的参数方程总是这个样子的。
In fact, parametric equations of lines always look like that.
我不准备写参数方程。
薛定谔方程是一个线性方程。
可以采用原型、数学方程或者交互式图表的形式。
This can take the form of prototypes, mathematical equations, or interaction diagrams.
那个关于电场旋度的方程。
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