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。
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。
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。
The second virial coefficients and its second derivatives calculated from this effective potential agree with the experimental data much better than that calculated from the ideal 2-dimension model.
由这种有效相互作用所求得的被吸附量子气体的第二维里系数及其二阶导数，比由理想二维物理模型出发所得结果更接近实验数据。
A second reason is the massive growth of credit derivatives, which has given investors the ability to sample the debt markets so as to get exposure to the precise risks they find attractive.
第二个原因在于信用衍生产品的大量增长，它们给予投资者在国债市场抽样的能力，从而使得投资者只暴露于他们觉得有吸引力的精确风险之下。
But in the second half of last year, such hedging declined for the first time since 2001, according to the International Swaps and Derivatives Association, an industry group.
但在去年下半年，根据国际掉期及衍生品协会(这是一个行业团体)的报道，对冲自2001年以来首次下降。
The five biggest bank derivatives dealers in the US held 97 per cent of the more than $200,000bn in notional derivatives value held by US banks at the end of the second quarter.
第二季度末，在美国银行持有的逾200万亿美元名义衍生品价值中，美国五大银行衍生品交易商持有97%。
The aim of the dissertation is to study second order derivatives based differential equation approaches to nonconvex constrained optimization problems.
本文旨在研究求解非凸约束优化问题的基于二阶导数的微分方程方法。
On the basis of the advanced first order and second moment method, the partial derivatives of the failure probability to the distribution parameters of the process variables were formulated.
由求解失效概率的改进一次二阶矩法出发，给出了失效概率对中间变量分布参数偏导数的计算公式；
Studies have been made on the influences of the second order derivatives of the amplitude and phase of the reflection coefficient on the Gaussian pulse upon reflection from the dielectric mirrors.
研究了介质镜反射系数的振幅与位相二阶导数对飞秒高斯脉冲的影响。
It is a remarkable feature of the theory of mechanics that all motion can be described without reference to derivatives higher than the second.
力学理论有一个显著的特点，它可以描述所有的运动而不需涉及二阶以上的导数。
Additionally, a mathematical manipulation is adopted to remove the second-order spacial derivatives in the body surface boundary condition.
对二阶物面边界条件采用数学手段，推导出一个没有二阶空间导数的表达式，以便于计算。
The second part reports the estimation of organic second-order nonlinear optical coefficient of the metal-phthalocyanine derivatives.
第二部分是金属酞菁衍生物的二阶非线性光学系数的测定。
The second part study of the anticoagulant activity of the chitosan derivatives, initially revealed the mechanism of its anticoagulant and its relationship of structure-activity.
第二部分，研究了壳聚糖甘氨酸衍生物的抗凝活性，初步揭示了其抗凝机理，并研究了其构效关系。
Finally, under suitable assumptions, we obtain the upper semicontinuity and the lower semicontinuity of second-order adjacent derivatives for the weak perturbation maps.
最后，在恰当的假设条件下，获得了弱扰动映射的二阶邻接导数的上半连续和下半连续性。
Firstly, we establish continuity and closedness of second-order contingent derivatives and second-order adjacent derivatives for set-valued maps.
首先，我们建立了集值映射二阶相依导数和二阶邻接导数的连续性和闭性。
In Chapter 7, we study stability of second-order derivatives in vector optimization problems.
在第七章里，讨论向量优化问题的二阶导数的稳定性。
Synthesises eighteen kinds of cinnamylidene acetophenone derivatives and discusses their properties of IR, UV, photoacoustic spectrum , X ray diffraction and second harmonic generation (SHG).
合成了十八个二苯基戊二烯酮类化合物，并对其进行了一系列性质测试，包括红外、紫外、核磁共振、粉末X衍射、光声光谱及倍频性质等。
According to this studies, the second-order nonlinear optical properties of derivatives of molecule 1 were studied as well.
在此基础上，研究了分子1的系列衍生物的二阶非线性光学性质。
In other coordinates it will involve second and possibly first derivatives with respect to time.
在别的坐标系中，它除了包含对时间的二阶微商外，还可能会包含对时间的一阶 微商。
Some relationships among the support function and indicator function of a convex set and their second-order epi-derivatives are given.
利用集合的表示函数、支撑函数、距离函数和投影等研究闭凸体的典范表示及点到边界的投影特征。
Some relationships among the support function and indicator function of a convex set and their second-order epi-derivatives are given.
利用集合的表示函数、支撑函数、距离函数和投影等研究闭凸体的典范表示及点到边界的投影特征。
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