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By numerical simulation, it is found that the stable borehole shape is an ellipse with a tip.

数值模拟计算发现稳定的井眼形状是一带尖点的椭圆形。

A manner is presented with which complex curves including polylines, conics or free curves can be precisely represented, and corresponding algorithm is designed. The curve can be C〓 or C〓 continuous. So all type of curves and their composites can be represented in NURBS. A deep research is paid to skinning surface. Different forms of the formation of knots vector are applied to different section forms.

对由多段直线、二次曲线、自由曲线进行任意组合的这类复杂曲线,提出了一种用一条NURBS曲线进行精确表示的方法,并设计了相应的算法,曲线段连接处根据需要可为一阶连续或形成尖点,从而使所有类型的曲线及由它们任意组合所生成的复杂曲线统一用NURBS表示。

After a power spectrum is constructed, empirical wavelet coefficients are used to detect the jump points in the function to obtain the strong consistent estimator of the position and number of the frequencies. Numerical simulations show this method is reliable.

根据它们的协方差函数可以表示为一个Fourier级数,而其Fourier系数可通过协方差函数的逆变换得到的特性,我们对于零均值的近周期相关序列构造了类似于周期图的函数,并构造其经验小波系数,利用频率处于此函数的尖点的特性,以及此性质在经验小波系数中的反映,来确定频率的个数和位置,所有的估计量都是强相合的,此外,数值模拟的结果表明,我们的方法是有效的。

We study cuspidal loop bifurcation、 Homoclinic or double Homoclinic bifurcation、 Hopf bifurcation and obtain the necessary conditions to generate limit cycles by using the coefficients of the expansion of the first Melnikov function.

利用一阶Melnikov函数的展开式的系数研究了尖点环分支、同宿分支、双同宿分支和Hopf分支,并给出了产生极限环的充分条件。

Thereby we obtain the existence and uniqueness for the Dirichlet problem of the Helmholtz equation on domain with corners

从而得到边界含尖点区域上Helmholtz方程Dirichlet问题解的存在及唯一性。

Numerical examples are shown todemonstrate the accuracy and resolution of the ENO and WENO schemes.

本章的数值模拟检验了ENO、WENO格式的精度和对尖点的分辨能力。

In this paper,we consider the existence and uniquness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners, i.e problemFor smooth boundary,we use potential theory to transform the problem into second kind boundary integral equation ,and use Fredholm alternative theorem,we obtain the existence and uniqueness of Dirichlet problem.

在本文中,我们考虑边界含尖点的有界区域上Helmholtz方程△u+k~2u=0的Dirichlet问题即问题与问题解的存在及唯一性。

Trace the shape of the cusp point so that the needle and the needle trace trace point bulge will form a solid fabric of the question, and may damage or break fabric embroidery needle .

追查尖点形成,使针头和针跟踪跟踪点隆起将形成一个稳固的结构问题,并有可能损害或破坏面料绣花针。

Under the policy of discriminatory pricing, the catastrophic behavior of the transfer price is analyzed using hyperbolic umbilic catastrophe model.

在单一定价策略下,运用尖点突变模型研究了转移价格的突变行为;在差别定价策略下,运用双曲脐点突变模型研究了转移价格的突变行为。

This paper presents a new analytic approach to synthesize the spherical four-bar mechanisms with two prescribed coupler curve cusps, and to analyze the motion type of the generated mechanisms.

本文提出一新的解析法来合成具两特定尖点耦杆点曲线之球面四杆机构,并详加讨论所合成出之机构的运动型态。

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