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In modeling heavy tails,we focus on multivariate t distributions and derive the moment generating function of the quadratic approximation.Then we use Fourier transform,Chebychev's Inequality and numerical technique inversion to approximate VaR value of portfolio,compared with Cornish-Fisher Expansions normal model and Delta-Normal model.

在推导出多个外汇期权的投资组合的二次近拟的矩母函数表达式基础上，本文使用傅里叶变换、切比雪夫不等式、数值转换计算求出投资组合的VaR的值，并和基于多元正态分布Cornish-Fisher模型以及基于Delta-正态模型计算所得的VaR值了进行比较。

We derive exactly the main characteristics of the two models: degree distribution, second moment of degree distribution, degree correlations, distribution of clustering coefficient and diameter, which are partially determined by the parameter.

利用图论和组合数学的方法，解析计算了交叉模型DCM与变体模型GPSFW的度分布、二阶平均度、度相关、簇系数和直径等主要拓扑特性。

According to theorem of motion of centre of mass and theorem of moment of momentum about centre of mass , we derive the theorem of moment of momentum about instantaneous center of rotation.

从质心运动定理和相对质心的动量矩定理出发，导出了相对瞬心的动量矩定理。

" Emblazon is reformed 2008 " used trade of much length introduction BizFile to register what submit a system with the file to derive a process, in detail description is before 2003, if the company that should register in Singapore must be borne why register a program multifariously to reach expect the lengthy process that registers approval, make the commerce at that time register bureau produce the opinion that uses Internet technology to register a program in order to simplify, establish finally to have the system is registered on reputable reputable net.

颂扬改革2008》用了大量的篇幅介绍BizFile商业注册与文件呈交系统的衍生过程，具体地描述在2003年之前，要在新加坡注册的公司如何必须忍受繁杂的注册程序及等候注册批准的漫长过程，促使当时的商业注册局萌生利用互联网技术以简化注册程序的想法，最终设立一个备受好评的网上注册系统。

First interpret it combinatorially, and then derive it algebraically from the multinomial theorem.

先用组合方法阐述，然后从多项式定理利用代数方法推导。

First interpret it combinatorially, and th derive it algebraically from the multinomial theorem.

先用组合方法阐述，然后从多项式定理利用代数方法推导。

It is from their celebrities that many Americans derive their sense of nationhood.

许多美国人正是从他们的精英身上找到了民族自豪感。

A function's Fourier transform is derive d by integrating the product of the function and a kernel function (an exponential function raised to a negative complex power) over the interval from －∞to +∞.

欲取得一个函数的傅立叶变换，可以在－∞与＋∞的间隔中把该函数与核函数(提升至负复数幂的指数函数)的结果整合起来。

For a uniform complex dynamical network, linear matrix inequality is adopted to derive a sufficient condition of synchronization.

针对一类一致连结的耦合复杂网络模型，采用线性矩阵不等式的方法给出了实施牵制控制达到同步的充分条件。

In Locke the metaleptic reality and its noetic analysis is transFORMed into the acceptance of certain "common opinions" which still bear an intelligible relation to the experience from which they derive.

在洛克那里，转喻性的实在和它的理智分析被转形成对某些"普遍意见"的接受，这些意见仍然与导出它们的经验有着明显的联系。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。