查询词典 necessary condition

The trend of think go without saying is understandable, but estimate any condition rationally is absolutely necessary.

想当然的倾向是可以理解的，但是，理智地估计任何情形的情况是完全必需的。

After improving the program, dots can be encoded automatically in the condition of removing dots, and can be encoded handily by human-computer dialogue if necessary. For speckle correlation method, speckle is arranged easily on model surface.

自动网格法在模型表面布置网格点容易，由于开挖或裂缝等原因去掉网格点，改进后的程序仍能自动编码，必要时可通过人机对话手工编码。

A necessary and sufficient condition is proved here for judging whetherthe ideal class group Hof a quadratic function field 〓has a cyclicsubgroup of order n for any given n.

给出了一般二次函数域的理想类群含有n阶循环子群的充分必要条件（其中〓是任意事先给定的正整数）。

The theory of high-strain dynamic testing of pile bearing capacity. The basic calculation expression of pile high-strain dynamic testing is rederived in a simple way, especially the semi-empirical analytical expression of wave equation . Besides, theoretically it has been proved that it's not necessary to have identic section hypotaxis along pile, and the application condition and reasonable operation have been pointed out. the CASE comprehensive method is suggested to replace the traditional CASE method. author has made a lot of improvement for the mathematical model of the matching analysis measured curves in the business software CCWAPC and scientific research software JXWAPC of which the author is in charge.

关于高应变动力试桩法的理论研究以简明方式重新推导了高应变动力试桩法基本计算表达式，尤其波动方程半经验解析表达式，同时从理论上证明了CASE法并不需要桩身等截面假设，亦指出了该方法的适用条件及合理使用办法，并建议利用CASE综合分析法取代传统的CASE分析法；作者在其负责编制的商业软件CCWAPC及科研软件JXWAPC中，对波动方程拟合分析法数理模型进行了一系列重大改进，考虑了灌注桩桩周土体的变形特性和动荷截作用下的非线性效应、大直径桩的横向惯性效应。

In other words, basic science is a necessary but not sufficient condition for remaining industrially competitive.

换句话说，保持工业强大的竞争力，基础科学是必须的，但并不是全部。

The necessary and sufficient condition for the existence of 2-dimensional minimal realization is given, which is described by the relation of elements of the infinite sequence and is easy to check.

给出了存在2维最小实现的充要条件，该条件是用无穷序列｛g｝(上标∞下标 0)元素之间的关系描述的，因而容易判断；同时，用涂奉生提出的结构标准形和最小实现算法给出了2维最小实现的构造方法，从而完全解决了2维最小实现问题。

If your thought has been critical or destructive, and has resulted in any condition of discord or inharmony in your environment, it may be necessary for you to cultivate a mental attitude which will be conducive to constructive thought.

如果你的想法是批评性的或破坏性的，在任何条件下都只能招致混乱与不和谐，那麽对你来说，就很有必要培养一种有助於建设性思维的心态了。

Firstly,by using the estimating methodfor the compact embedding operators(from weighted Sobolev space to the weighted〓space),we obtain a necessary and sufficient condition for the discreteness of thespectrum of certain differential operators.Secondly,based on the property of thespectrum of difinitizable operators on the Krein space,we consider the left definitedifferential equations with middle deficiency indices,and give a completecharacterization for self-adjoint(J-self-adjoint)differential operators in theindefinite inner product space 〓.Especially,we prove that all the J-self-adjoint differential operators are definitizable.

我们首先运用加权Sobolev空间到加权〓空间嵌入算子紧性的判别方法，证明一类加权自伴微分算子具有离散谱的充要条件；然后，基于Krein空间上可定化算子谱的性质，对于具中间亏指数的左定型微分方程，建立其相应的微分算式在不定度规空间〓上所生成自伴算子的完备性刻画（特别证明了J-自伴微分算子具有可定化性）。

In chapter 4, Based on the orthogonality relations and duality of C-algebras, we study the decompositions of C-algebras, and give a Fourier inversion formula on C-algebras, which generalizes the Fourier inversion formula on the center of a finite group algebra over complex. As an application, we characterize the integral closure of C-algebras over the ring of integers, and show a necessary and sufficitient condition for elements of C-algbras being algbraic integral over integers.

第四章 我们应用C-代数的正交性及对偶性刻画了C-代数的一个分解，给出了C-代数上这个完全分解的Fourier反演公式，从而推广了Z分解的Fourier反演公式；作为Fourier反演公式的一个应用，我们刻画了Z在整数环Z上的整闭包，进一步我们研究了C-代数在整数环Z上的整闭包，给出了C-代数在整数环Z上为整元的一个充要条件。

Results A necessary solvability condition was established in terms of the parity interlacing property of each element in .

结果给出鲁棒镇定问题可解的一个必要条件，即的每个元素都应具有parity interlacing性质。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。