And, as before, this comes from the fact that the mixed second derivatives are the same, no matter in which order you take them.

和以前一样，它来源于这样一个事实，混合二阶导数，求导次序改变，结果不变。

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The solvability was considered for a class of third-order two-point boundary value problem with first and second derivatives.

讨论了一类非线性项含一阶和二阶导数的三阶两点边值问题的可解性。

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Based on the pseudo load concepts, general formulas for computing the first and second derivatives of behavioral parameters with respect to design variables are derived.

本文利用广义虚载荷概念，建立了应力、位移响应的一阶和二阶导数计算公式。

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But, of course, it's going to come from the fact that these second derivatives are also equal.

但是，结果同样是依赖于,二阶混合偏导数相等。

麻省理工公开课 - 热力学与动力学课程节选

So here I've written for the hydrogen atom that deceptively simple form of the Schrodinger equation, where we don't actually write out the Hamiltonian operator, but you remember that's a series of second derivatives, so we have a differential equation that were actually dealing with.

这里我写出了,氢原子薛定谔方程的,最简单形式，这里我们实际上,没有写出哈密顿算符,但是请记住那你有，一系列的二次导数,所有我们实际上会处理一个微分方程。

麻省理工公开课 - 化学原理课程节选

Because these mixed second derivatives are the same thing.

因为这两个混合二阶偏导数,是相等的。

麻省理工公开课 - 热力学与动力学课程节选

Second, how AIG 's "small" derivatives unit located in London managed to obscure its accounts, be governed by lax regulatory oversight, and take inordinate risks that effectively brought down AIG's empire of 100, 000 employees in 130 countries, accelerating the global financial crisis.

FORBES: Magazine Article

Monte dei Paschi, seeking to staunch an outpouring of allegations surrounding its request for a second state bailout, has admitted the use of derivatives forced it to demand extra help but insisted that it has "no evidence" that bribes were behind the costly acquisition of a local rival that undermined its capital strength.

CNN: Draghi meets minister over MPS problems

Ackman has challenged the strength of MBIA and other bond insurers for more than five years and as recently as November forecast they would be insolvent by the second quarter because of their exposure as guarantors to billions of credit derivatives products packed with subprime mortgage debt.

FORBES: Bond Insurers Need Help--Fast