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The present paper covers the Hopf points bifurcating from double fold points, and gives some computable nondegeneracy conditions and stability conditions of these Hopf points.

本文研究从双重折叠点分支出的Hopf点，给出了可计算的非退化性条件及稳定性条件。

An interactive artwork does not so much respond to the viewer as form a double system with him or her in which both the work and the viewer can change (unlike noninteractive art, in regard to which it is thought that only the viewer can change).

一件互动的艺术品并不是将观者本身的互动感受加注於作品中，单纯地以作品回应观者本身的互动感受，因为无论是作品或观者在互动的当时，感受都会改变(非互动艺术作品中，只有观者改变)。

Our results show that nonlinear Rabi oscillations of superfluid Fermi gases could happen due to the coherent properties of double-well potential.

结果表明，由于体系的相干特性双阱势中的超流费米原子气体可相互隧穿并产生非线性Rabi振荡。

Is NONO a double refusal and rejection, or is it the rejection of refusal?

NONO是重复的拒绝和反对，还是对拒绝的反对？

In this prospective double-blind study from Columbia University in New York, 68 infants weighing 750 to 1,600 grams were randomized to receive one of five formulas differing only in the quantity (130 or 155 kcal/kg/day) and quality of nonprotein energy.

在这份来自纽约哥伦比亚大学的前瞻性双重盲目研究中，六十八位体重七百五十克到一千六百克重的婴孩，随机分配接受五种仅在非蛋白质热量上数量（130 or 155 kcal/kg/day）与质量有所差异的食谱餵食。

Sensitive and reproducible techniques of radioactive, nonradioactive and double-label in situ hybri...

原位杂交以其能原位探测基因及其表达功能，近年来得到了广泛的重视。

The results indicate that the initial deviations of the joint positions match normal probability density function limited in the range of double mean variance.

随机缺陷分析方法中假定结构每个节点的位置偏差符合二倍均方差范围内的正态概率密度函数是可以接受的。

The interpolate algorithms of three-order NURBS curve and double three-orders NURBS surface are presented. The expressions of partial derivative and normal curvature of NURBS surface are derived by the theory of differential geometry. The geometric characteristics of different curvature area of the free-form surfaces are analyzed in detail. All these work lays a theoretical foundation for constructing the cutter location calculating model of free-form surfaces NC machining. 2 On the basis of analyzing the methods of cutter path generation, the standard of evaluating the various methods of cutter path generation is presented. The method of generating cutter path with constant scallop height is presented for the first time.

本文以提高复杂曲面多坐标数控加工精度和加工效率为目的，在对国内外研究现状进行深入分析的基础上，对数控编程中各环节的关键技术问题进行了深入研究，主要内容包括以下几方面： 1 分析了复杂曲面各种造型方法的优缺点，给出了根据各种边界条件所确定自由曲面的NURBS表示方法以及三次NURBS曲线曲面反算算法；用微分几何理论推导了NURBS曲面的偏导矢及法曲率计算表达式；对曲面不同曲率特性区域的几何特征进行了深入分析，为建立复杂曲面的数控加工刀位计算模型奠定了理论基础。

With the aid of theory of normal form, the explicit expression of normal form for the averaged equations associated with a pair of double-zero eigenvalues and a pair of pure imaginary eigenvalues is given by using Maple program.

利用规范形理论和Maple符号程序，获得了一对双零特征值和一对纯虚特征值情况下平均方程的规范形。

On Tuesday, another 100 trucks – double the normal number –are expected to enter Gaza after Defense Minister

有专门准备好的两倍于往常数量的100辆运送援助物资的卡车进入加沙。

Given the language of section 102(2), the Supreme Court's rejection of substantive review under NEPA seems unjustifiable in principle

按照第102条的规定，最高法院否决《国家环境政策法》所规定的实质性复审在原则上似乎是不正当的。

ObjectiveTo explore the effect of variable hip abduction orthosis on children spastic cerebral palsy.

目的探讨髋关节矫形器在儿童痉挛型脑性瘫痪康复中的作用。