必要条件

Suppose OE is any Dedekind ring, E isthe quotient field of OE, we give a necessary and sufficient condition for an ideal inOE generating a Carmichael ideal in L .

我们给出了OE中的理想在L中生成Carmichael理想的充分必要条件。

Publication of defamation is one of the necessary conditions of defamation.And original publication is the most important form of publication of defamation.

诽谤发布是构成诽谤的必要条件之一，而原发布者发布又是诽谤发布最重要的形式。

Chapter two study iteration of a serial of polynomial, discussed the sufficient and necessary conditions and denseness of the Julia set, the relative random dynamical system is constructed by some high degree polynomial. In addition, it discuss the Mandelbrot set of a kind of polynomial.

本文的第二章主要研究多个函数的特定迭代序列，讨论了高次多项式的随机复动力系统的Julia集的连通的充分必要条件以及稠密性问题，同时还讨论了一类多项式函数的Mandelbrot集。

In fact, we point out that it is true for the density matrix of the nearest point graph.

证明了这个度数条件是三体态可分的必要条件，于是猜想它也是充分条件。

With help of product integration theory this paper gives the necessary and suffient conditions for finite determinacy of smooth map-germs under some subgroups of and .

本文利用乘积积分理论给出了映射芽在和的一些子群下有限决定的充分必要条件。

Hence it follows, that, where the appointment is regularly made, there cannot be a shadow of right in any one but the person appointed, and, where the necessary requisites are omitted, the right of the heir is equally strong and built upon as solid a foundation, as the right of the devisee would have been, supposing such requisites were observed.

遵循这样的原则，在指定财产权得到正规实行的地方，除了被指定的人没有人能够获得这样的权利，此外，如果这些必要条件被遗漏的话，继承者的权利与赠受者的权利具有同样坚实的基础，只要这些必备条件得到了遵守。

The corresponding diagnosable systems are characterized in terms of a graph-theoretic condition, and a series of valuable conditions on a diagnosable system is presented. And a class of diagnosable systems that have a minimum number possible of communication links (known as optimal diagnosable systems) is proposed.

得出了系统中故障结点机数不超过n-2的结论；●解决了特征问题，给出了按图论方式表述的充分必要条件；●解决了诊断算法问题，给出了一个有效的诊断算法，该算法具有线性时间复杂度和多项式诊断报文总规模的特性；目前，上述研究工作所取得的结果还没有文献报导。

Essential condition of the diagram to design the scheme was decided, and the methods to distinguish component attributes and to calculate planetary characteristic parameters were presented.

确定了设计多自由度复合行星传动方案应满足的必要条件，以及组成复合排的各构件属性判别方法和行星排的特性参数计算方法。

Then f has β-differentiability property if and only if each level set of f〓 has ω〓-β-exposed property.

则f具有β-可微性质的充分必要条件是f〓的每个水平集具有ω〓-β-暴露性质。

Prerequisites have been kept to a minimum, although a basic knowledge of calculus, linear algebra, and differential equations is assumed.

虽然一种微积分，线性代数和微分方程的基础知识被以为，但是必要条件已经被保持到最少

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。