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In this paper, non-extreme points of numerical range, n-numerical range and orthogonal projection pair are discussed, the main content as follows:First, in Chapter One we give the signs, definitions and elementary theorems used by this article.

本文就数值域的非端点，n次数值域和正交投影对等问题进行了研究，主要内容如下：第一章作为本文的预备知识，我们介绍了该文中所用的符号，概念和基本定理。

Results: The proportional volume, numerical density of the granules in ovariotomy group were less than those in sham-ovariotomy and ovariotomy estradiol groups (P.001); the proportional volume and numerical density of ASG in myocardial cells almost came back to the normal level with small dose estradiol; along with the enhancement of estradiol dosage, the content of ASG in myocardial cells was more than those in sham-ovariotomy and small dose estradiol group (P.01), and showed a quantity-efficiency relation.

结果：切除大鼠双侧卵巢后，心房特殊颗粒的体密度和数密度与对照组及用雌二醇组比较明显减少(P＜0.01)，小剂量雌二醇可使大鼠心肌细胞心房特殊颗粒的体密度和数密度恢复到正常水平，随剂量增加，心肌细胞心房特殊颗粒的量也伴随增加，呈量效关系。

Up to now, finite difference method, finite element method and boundary element method are common numerical methods to obtain numerical solutions of parabolic partial differential equation.

目前求解抛物型偏微分方程的数值方法有有限差分法、有限元法和边界元法等。

A kind of delay parabolic partial differential equation is studied. A numerical method is proposed by discrete skill. The numerical stability for this kind of delay parabolic partial differential is analyzed by interpolation method.

研究了一类时滞的抛物型偏微分方程初边值问题，利用离散技巧，提出了一种数值方法，然后在一定插值技术下分析了算法的稳定性。

This paper considers the pricing model of options under illiquidity. A new numerical procedure for solving the nonlinear parabolic partial differential equation is explored and the Thomas algorithm is used to improving the efficiency of the numerical scheme.

本篇论文提出一个在市场流动性不足情况发生时的选择权订价模型，并且发展一个新的数值方法来求解一个非线性抛物线型态的偏微分方程式，同时利用汤马斯演算法来提升数值运算的效率。

This paper uses unsaturated soil Alonso elasto-plastic model to analyze the influence of model parameter value on numerical calculation. And the result shows that Finite Element numerical calculation which adopts the specimen integral deformation model parameter will generate errors, and overestimates unsaturated soil strength.

应用非饱和土Alonso弹塑性模型研究探讨了模型参数取值对非饱和土数值计算结果的影响，使用包含端部约束影响的试样整体变形确定的模型参数进行有限元数值计算将产生误差，同时也高估了非饱和土体的强度。

The velocity distribution of jetting penetrator charge under different initiation ways was s tudied by theoretical analysis. The numerical simulation results coincide with the theoretical analysis, a practical method of numerical simulation and material model parameters were obtained.

并通过理论分析研究了不同起爆方式下所形成的杆式射流的速度分布，数值模拟结果与理论分析吻合较好，得到了一套实用的数值模拟方法及材料模型参数。

Then, we use numerical continual method to get the periodic numerical solution.

接着，我们尝试运用数值延拓法求取其周期数值解。

In the numerical computation, a two-dimensional numerical method integrating finite element method and difference method was employed, where the finite element method is used to calculate the magnetic field of the permanent magnetic guideway and the difference method is used to calculate the induced current in the superconductor, then the levitation force and the lateral force were calculated by Lorentz formula.

在数值计算部分，实现了一种集有限元法与差分法为一体的数值计算方法。

Based on the lumped mass method and Newton's second law, the numerical model of the force and movement response for fishing nets in current was set up, and then the dynamic deformation and the equilibrium configuration of the plane net in current along the positive direction of x-axis were studied by means of computer numerical simulation method.

基于集中质量点法和牛顿第二定律，建立了网衣在水流作用下的受力和运动响应数学模型。

We are in a real jam.

我们的麻烦大了。

Hey, it's Ahmet from India, that foreign exchange guy.

看，那是印度的阿曼特，国际交换生