数学公式

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

It was a manifesto, part of a revolution that put an end to the anti-intellectualism of American finance and transformed financial markets from bull rings into today's quantitative powerhouses.

的数学公式，它更是一次宣言、一场革命的重要组成——后者宣告了美国金融业反智主义的终结，并将金融市场从斗牛场变成了今天的数量电机房。

If you look at the Wikipedia page linked above, you will be blasted with daunting math formulas.

如果你看了维基的页面链接，更会被其中的数学公式吓到。

The definition of objects by precise mathematical formulae was compellingly beautiful to engineers.

工程师认为用精确的数学公式对目标对象进行定义是最好的。

The mathematical formulas are used to determine the shape and placement of each piece to deflect the electromagnetic waves.

研究者运用数学公式来决定每块单片的外形和位置，从而偏移电磁波的方向。

Mathieu functions are frequently encountered in many radiation,scattering and guided wave problems, which are formulated in the elliptic cylindrical coordinate system.

本文给出了计算马丢函数和变型马丢函数及其导数值的程序流图和相应的有用数学公式，并讨论了算法。

Cosmicomics is a phantasmagoria on Creation, an enchantingly ingenious idea which translates theories about the evolution of the Universe into stories and makes "characters" out of mathematical formulas and simple cellular structures.

宇宙连环画》是创造力的高度发挥，它独特的，引人入胜的宗旨是将宇宙进化的理论转变成故事，并从数学公式和单细胞生物中创造角色。

V V+ S0 ^. Cosmicomics is a phantasmagoria on Creation, an enchantingly ingenious idea which translates theories about the evolution of the Universe into stories and makes "characters" out of mathematical formulas and simple cellular structures.

宇宙连环画》是创造力的高度发挥，它独特的，引人入胜的宗旨是将宇宙进化的理论转变成故事，并从数学公式和单细胞生物中创造角色。

Exceed with next before mathematical formula computation of the imagination gives what website to lean in the rank in congener website.

然后以一个超乎想象的数学公式计算出哪些网站在同类网站中排名靠前。

Let's recall our school mathematics formulae to solve this problem.

让我们回顾我们学校的数学公式来解决这个问题。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。