查询词典 sufficient condition

In this paper,we give a sufficient and necessary condition for the level surface s with respect to non-degenerate quadratic functions by the usage of the Hessian metric and of a transversal vector field.

本文利用Hessian度量和横截向量场，给出了非退化二次函数的水平曲面的一个充要条件。

According to physical chemistry theory, the interaction between sample and solvent in uncured mix and vulcanite was studied Taking aniline replace ammonia as basic agent, traditional measurement method for bound rubber in uncured mix and cross-linkage density in vulcanite was improved New method ensures sufficient touch between sample and basic agent Besides, experimental operation is simplified, the condition is controlled easily, and reproducibility is good for new method It is believed that new method is suitable for other rubber matrix and other filler

探讨未硫化胶和硫化胶试样与各种溶剂的相互作用。用苯胺代替氨作为碱性试剂，改进了传统结合橡胶和交联密度的测定方法。新方法保证了溶剂与试样的充分接触，且实验操作简单，条件易于控制，结果重现性好。新方法可用于其它橡胶基复合材料体系。

For instance, we obtained the existence and uniqueness theorem and several judgement theorems on stability and instability for several types of nonlinear singular systems. Using Z-transformation, we estabilished the response formula of discrete singular systems with delay, and obtained the sufficient and necessary condition of rearchability.

如我们得到了某些非线性广义系统解的存在唯一性定理，及稳定与渐近稳定的判据；利用Z变换方法，得到了滞后离散广义系统的一般响应公式，进而得到了局部可达与局部能控的充要条件等。

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

In chapter 2, we investigate the structure of finite groups under the condition that all special subgroups are conjugate-permutable subgroups and obtain some sufficient conditions for solvability, Abelian property of finite groups.

第二章主要是利用一些特殊子群的共轭置换性得到了有限群成为可解群、交换群的一些充分条件，改进和推广了文[1]和[4]中的部分结果，有些结果是新的。

Under the condition of non-vanishing perturbation, sufficient conditions for guaranting the uniformly boundness and uniformly ultimate boundness of system's solution are derived.

首先在非零扰动情况下，利用平均滞留时间的方法给出保证切换系统一致有界或一致终极有界的条件以及最终边界。

According to the variation in the components of intermediateacid igneous rocks coming from the lower crust, it is possible to restrain the depth of the source area and the minimum thickness of the crust, and thus to provide important information for the study of the deep process of the continental intraplate mineralizationGlobally, many world level porphyry copper deposits and metallogenic systems formed by hypabyssal hot liquid have their close relationship with the synchronous adakite in spacetime and genesis; domestically, the adakitelike rocks have been identified to be related to the metallogenesis in the main metallogenic areas in ChinaThe recognition of adakitelike rocks having no relationship with the process of subduction makes it possible to construct a metallogenic model of continental intraplate porphyry metal deposits by combining other geological evidences, and this model is totally different from the metallogenic model of porphyry copper deposits with Bsubduction setting constructed by Sillitoe (1972)The existence of adakitelike rocks may be the necessary condition but not the sufficient one for forming the largescale porphyry deposits and the hypabyssal hotliquid deposits, whose metallogenic elements mainly came from the mantleThe metallogenic potential of adakitelike rocks is achieved by the entering of the mantle material, and the metallogenic specialization of adakitelike rocks is decided by the distribution characteristics of the metallogenic elements in the upper mantleAn important reason for the adakitelike magma related to subduction being advantageous to mineralization is that there were abundant high pressure and high temperature liquid coming from the subducted platepieces and the magma of high fO2 coming from the melting of subducted platepiecesHowever, for those adakitelike rocks, whose occurrence has continental plate background but does not relate to the subduction, their metallogenic mechanism is not clear yetBased on the concept of modern mineral exploration and combined with the analysis of integrated geological information, we may better realize the practical prospecting significance of the adakitelike rocks

根据起源于下地壳的中酸性岩浆岩的成分变化，可以约束其源区深度以及地壳最小厚度，为大陆板内成矿作用的深部过程研究提供重要信息。全球范围内，许多世界级斑岩铜矿和浅成热液矿化系统与同期的埃达克质岩存在密切的时空与成因联系，在国内主要成矿区带也识别出与金属成矿作用有关的埃达克岩。与俯冲过程无关的埃达克质岩的识别，使我们有可能结合其他地质证据构建完全不同于Sillitoe(1972)B型俯冲环境的斑岩铜矿成矿模式的大陆板内斑岩型金属矿床成矿模式。对于规模巨大、矿质主要源自地幔的热液矿床的形成，埃达克岩可能是必要条件，但不是充分条件。埃达克岩的成矿潜力通过地幔物质加入而获取，埃达克岩的成矿专属性由上地幔成矿元素分布特征决定。与俯冲有关的埃达克质岩浆之所以有利于成矿，重要的原因是存在大量来自俯冲板片的高压、高温流体以及俯冲板片熔融形成高氧逸度(fO2)的熔体，但产出在大陆板内背景、与俯冲无关的埃达克岩的成矿机制还不清楚。根据现代资源勘查理念，结合综合地质信息分析，埃达克质岩具有实际找矿意义。

We put forward firstly a sufficient and necessary condition of one stept fault diagnosablity based on testing each other between the nodes, by means of the maximum independent set theory in graph. It establishes a foundation for the SFD of computer network.

本文首次将图论中的极大独立点集理论用于系统级故障诊断中，获得了一个简明、直观、易操作的，且基于相互测试的判定系统一步t故障可诊断的充要条件，补充了文献[10]的充要条件，并奠定了网络环境下系统级故障诊断研究的基础。

The simulation results show that the controller not only works well for various dynamic set-point load, but shows insensitive to the variation of parameters which change with work condition and to the unmodelled dynamics and disturbance. The controller provides sufficient stability and performance robustness for the system.

仿真结果表明：在该控制器的作用下，电液负载模拟器系统实现了动态跟踪性能，表现出对系统不确定性及多余力矩干扰不敏感的良好鲁棒性。

There has been communication with the center that makes a company to online station every day recently, the station of themselves company (Www.ttwebsite.cn), colour advocate used on tone virescent, give a person a kind of beautiful and easy sense, optimize while the website is made go up to also make great efforts sufficient, what the website makes this word be applied in integral layout is proper, what the picture uses is less, the website is given priority to with literal sex, complete station can generate the each respect element such as page of HTML static state to permeate all sorts of concepts of SEO, optimize further according to company business characteristic and actual condition on this foundation, will achieve the result of get twice the result with half the effort!

最近和天天向上网站制作公司的站长有过交流，他们自己公司的站(www.ttwebsite.cn)，色彩主调上采用了淡绿色，给人一种美观大方的感觉，在网站制作的同时优化上也下足了功夫，网站制作这个词在整体布局运用的恰到好处，图片使用的较少，网站以文字性为主，全站可生成HTML静态页面等各方面因素都渗透了SEO的各种理念，在此基础上根据公司业务特色与实际情况进一步优化，将会达到事半功倍的效果！

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。