查询词典 simultaneous invariant

In chapter 3,we dig out two families of invariant quartic curves of a quadratic system.

第五章讨论向量场具有对称中心的二次系统，利用系统的不变双曲线及不变四次曲线，我们确定了一个对应极限环（1.1）分布的二维参数区域，其边界的构成为如下几种常见的极限环分枝：霍夫分析，庞加莱分枝，同宿分枝和异宿分枝。

The isothermal solubility diagram of the quinary system NaVO_3 + KVO_3 + NaH_2PO_4 + KH_2PO_4 +(NH_2)_2CO + H_2O consists of four invariant points, six univariant cuives, and five regions of crystallization corresponding to NaVO_3, KVO_3, KH_2PO_4, NaH_2PO_4 and (NH_2)_2CO.

五元体系NaVO_3+KVO_3+NaH_2PO_4+KH_2PO_4+(NH_2)_2CO+H_2O298K下的等温相图由五个相区、六条单变量线和四个零变量点组成。

First, we have proved that the constraint of local constant gradient angles is equivalent to the minimization of total variation. Based on this, a stronger continuity constraint of gradient angle is presented. The interpolation formula (a 3-degree-PDE) derived from the constraint can ensure the continuity of level lines and reduce the width of edges. The contrast invariant of the regularizer of the formula is also proved.

首先证明了局部恒定的梯度角约束插值等价于总变分最小化；在此基础上，提出一个具有更强连续性的梯度角约束，由这个约束条件导出的三阶偏微分方程使插值的图像既可以保证水平线方向的连续性，又减小图像边缘的宽度；最后证明了插值方程中正则项的对比不变性。

This paper studies the concrete implementation flow of contour-based retrieval based on wavelet transform modulus maxima , multi-scale morphology and invariant relative moments. Also, experimental results are given to validate the feasibility of our strategy and the corresponding retrieval performance is analyzed.

从理论和技术的角度研究了在基于目标形状的遥感影像检索中，应用基于小波变换模极大值和多尺度形态学的边缘检测方法以及基于不变相对矩的轮廓特征描述方法的具体实现技术流程，通过实验充分验证了本文方法的可行性，并分析了检索性能。

Morishima's beautiful generalization of this Marx-Sraffa theorem,which can be stated as giving sufficient conditions for a subset of the goods to keep invariant relative prices as the profit rate changes, belongs to my Class A rather to Class B or Class C.

森岛通夫关于马克思－斯拉法定理很好的归纳，即可以被描述为在利润率改变的情况下为以一系列的商品保持不变的相对价格给出充分的条件，这属于我等级A的范畴而不是等级B或等级C。

Lie symmetry, Noether symmetry, invariant, relative motion, singular system, discrete mechanics

中文关键词 Lie对称性， Noether对称性，守恒量，相对运动，奇异系统，离散力学

Therefore, the change of velocity is an invariant, though only, of course, on condition that the relative motion of our two c.s.

当然，我们的例子是很简单的，是一种直线运动的例子，其中的坐标系可以用一根坚硬的杆来代表。

In reparametrization with arcs length, the curvature and torsion is invariant to translation and rotation transformation. The curvature and torsion are views as feature sets.

无论是二维碎片物体还是三维碎片物体的形状复原问题，皆看成是特殊的物体识别问题，其特殊性就是在处理的方法上采用基于轮廓线的匹配来识别。

If you have Invariant Sections, Front-Cover Texts and Back-Cover Texts, replace the ''with...

如果你有『恒常章节』、『前封面文字』和『后封面文字』，请将「with。。。

The spectrum of the Laplacian on a Riemannian manifold is an importantanalytic invariant and is deeply connected with geometry and topology of a man-ifold.

黎曼流形上Laplace算子的谱是流形上重要的解析不变量，它与流形的几何、拓扑有着深刻的联系。

I can not negligent, he should do what?

我不能不在意了，他要做什么呢？

It is very dangerous to swim in the river alone.

一个人到河里游泳是很危险的。