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.
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.
我的意思是，上一次我们讨论过了，这个梯度是垂直于等高线，并且是指向方程增长的方向的。
I mean we'd seen in last time, but the gradient is perpendicular to the level and points towards higher values of a function.
有了曼德尔勃特集合，蔬菜和二次多项式都变得有趣多了。这个方程序表现了类似图中的花椰菜菜籽的重复的复杂性。
Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set. The formula explains the repeating complexity of broccoli heads like this one.
这礼拜我将数据代入了责任方程式，啊，终于有一次A 乘B乘C的结果比召回成本要高。
This week I ran the liability formula, and for once A times B times C equaled more than the cost of a recall.
对很多人来说，二次方程是很恐怖的。
The quadratic equation may have instilled horror in many of us.
这是一个x的二次方程，也是一个抛物线方程式,抛物线都长这样。
It's a second-order equation in x, and is a parabola and a parabola has this shape.
重复一次，我现在的问题是什么？ 我的…这个方程问我的是适当地组合这三个向量，使之产生这个。
So, again, what's my problem？ My...what this equation is asking me to do is to combine these 3 vectors with a right combination to produce this one.
当我们第一次介绍，薛定谔方程的时候，我说你们，可以，把psi看做是，电子位置的代表。
When we first introduced the Schrodinger equation, what I told you was think of psi as being some representation of what an electron is.
还有一次，讲座结束回答问题时，一位听众说：“狄拉克博士，我不明白黑板右上角的方程序。”
On another occasion, answering questions after a lecture, an audience member said, "Dr Dirac, I didn't understand the equation on the top-right of the blackboard."
等于3。29乘以10的15次方每秒,所以如果你们记得的话,找到的那个方程就是乘以了这个数，by，this，here。，So，，we，found，the，exact，same，equation，所以我们从理解不同能级之间,能量差出发找到了同样的方程。
9 times 10 to the 15 per second. So if you remember what the equation Balmer found was this number multiplied Balmer but just now starting from understanding the difference between energy levels.
2006年的10月22日，迈克尔·舒马赫驾驶了他第250次也是最后一次一级方程式赛车。
October 22nd,2006, Michael Schumacher drives his 250th and last Formula 1 Race.
二进制的理论，就微分方程而言，第一次在这本书里被对待。
The theory of binaries, in terms of differential equations, is treated for the first time in this book.
然后他们才会高兴地摆脱长除法和二次方程的练习。
Then they can happily abandon the drill in long division and quadratic equations.
本文从不同种植密度和施氮量对玉米籽粒产量的影响，建立了二次多项式回归方程。
Second-degree polynomials equation of maize(Zea Mays L. ) grain yield with both planting density and nitrogen fertilization was established by means of regression analysis.
以后代数中的种种推论都很枯燥，包括二次方程序，我这辈子从未用过它。
Everything in algebra was boring extrapolation after that, including the quadratic equation, which I have never used in my life.
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.
从理论上讲，通过坐标轴旋转将二次方程化简为规范形式，从而讨论其曲线的形状，这已是讨论得相当明了的课题。
Theoretically speaking, it is a rather-clearly discussed subject to standardize the quadratic equation into the normal forms by spinning the coordinate axis so as to approach the shapes of its curves.
相反，不带女儿来上班，她们是可以在学校里解二次方程的。
The girls , by comparison , would be at school learning how to solve quadratic equations.
我们经常会碰到一些方程序，它们可以用适合于二次方程序的方法来解，即使这些方程序实际上并不是二次的夜没关系。
Often we encounter equations which can be solved by methods applicable to quadratic equations, even though these equations are not actually quadratic.
并且利用其结果得到了几类二元二次不定方程的整数解表达式。
And based on these results the expressions for some binary indefinite quadratic equations integer solutions are obtained.
每一次扩展都是为满足使某种方程有解的要求而导致的。
Each of these extensions can be motivated by the desire for certain equations to have solutions.
此方法同样适用于其他非线性方程，特别对那些带有高次非线性项的方程，该方法具有独特的优点。
The method in this paper can also be applied to other nonlinear equation. For those nonlinear equations with higher order nonlinear terms the method has its extraordinary advantages.
摘要利用由三角级数和幂级数复合构成的函数项级数的有关性质，得到了一类变系数非齐次调和方程边值问题的级数解。
In this paper by using the property of Fourier series a compound series consisting of trigonometric series and power series is established.
常数变易法是求解非齐次线性微分方程的一种有效方法。
Methods of constant variation are an efficient solution to all nonlinear differential equations.
本文用有限的二重傅里叶变换解波动方程，热传导方程，拉普拉斯方程以及泊松方程的非齐次边值问题。
In this paper, the finite double Fourier transforms were applied to solve the nonhomogeneous boundary value problems of the wave, heat conduction, Laplace and Poisson equations.
在第三章中，给出了非齐次抽象时滞方程的一些结果。
In the third chapter, some results of inhomogeneous abstract delay equations are given.
况且，在平衡计算中常常发生比四次方程还高的高次方程。
Moreover equations of degree higher than quartic often arise in equilibrium calculations.
本文提出的这种方法，它的特点在于：我们不是用牛顿迭代法去直接逼近方程的根，而是用牛顿迭代法去逼近方程的二次因子。
The method presented in this paper is not to approximate directly with Newton iterate the roots of a polynomial but to approximate its second order factors.
本文提出的这种方法，它的特点在于：我们不是用牛顿迭代法去直接逼近方程的根，而是用牛顿迭代法去逼近方程的二次因子。
The method presented in this paper is not to approximate directly with Newton iterate the roots of a polynomial but to approximate its second order factors.
应用推荐