查询词典 existence theorem of implicit function

Engineering design problems have two characteristics: the design variables are often monotonic in the objective function and constraints. Moreover, the objective function and constraints are often implicit functions which cannot be expressed explicitly in terms of design variables.

工程最佳化设计问题通常有两个特性：设计变数在目标函数与限制条件常具有单调性，且其目标函数与限制条件常为内隐式函数，也就是不能以设计变数来表示其外显形式。

A calculation method of reliability for slope stability,whose state function is implicit function,was researched.

利用其计算可靠度指标和验算点，然后将安全系数计算近似方程、隐函数计算方程和验算点结合起来，确定新的展开点和抽样点，并进行近似方程再拟合、可靠度指标的循环计算直到收敛。

Based on Bishop slice method, a calculation method of reliability for slope stability whose state function was implicit function was studied.

摘 要：基于Bishop条分法，研究隐式功能函数边坡工程稳定可靠度计算方法。

As an application, we develop the real-valued implicit Lagrangian and the corresponding smooth merit function for SCCP, and give a necessary and sufficient condition for the stationary point of the merit function to be a solution of SCCP.

在一致Ca(来源：ABC5fe9论文网www.abclunwen.com)rtesian-P性质下，证明此价值函数可为SCCP提供一个全局误差界。最后，给出了求解SCCP的一个混合牛顿算法。

Therefore, this research emphasizes on the learners with personality traits and learning style, and adds knowledge creation factor to see how the learners' responses toward the external stimulators under the E-learning environments. Then this research analyzes the learners' differences on the basic existence and points out that what kind of teaching methods suits the learners best. This research has three results as following: 1.The personality traits and the learning style have the remarkable corresponding relational existence. Openness corresponds to assimilator; Conscientiousness corresponds to converger; Extraversion corresponds to accommodator; Neuroticism corresponds to diverger; Agreeableness has no remarkable correspondence relational existence.

故本研究以人格特质、学习风格等学习者个体本身对於外在环境刺激所反应出的行为，加入知识创造行为，在数位学习的学习环境下进行成效的探讨，分析学习者在根本上所存在的差异，并指出以何种方式进行教学较适合学习者本身，研究结果发现：一、人格特质与学习风格有显著对应的关系存在，聪颖开放人格对应同化型；严谨自律人格对应聚合型；外向人格对应调适型；神经人格对应於分散型；和善人格无显著对应的关系存在。

Huang and Lin proposed the weak solution concept for Backward Stochastic Differential Equation This paper based on the predecessor's work , gives the weak solution concept for Backward Stochastic Differential Equation with continuous martingale,uses the Girsanov transformation, obtains its weak solution of the existence of a necessary and sufficient conditions, and on this basis obtains its weak solution of the existence of sufficient conditions,these sufficient conditions weakened the drifting coefficient which requested in the existence uniqueness of strong solution to satisfy the Lipschitz condition the request.

本文在前人研究的基础上，给出由连续鞅驱动的倒向随机微分方程弱解的概念，利用Girsanov变换，得到其弱解存在的存在的一个充分必要条件，并在此基础上得到了其弱解存在的一些充分条件，这些充分条件减弱了在强解的存在唯一性中要求的漂移系数满足Lipschitz条件的要求。

But the existence in question is no longer the juridical existence of sovereignty; at stake is the biological existence of a population.

但是生存的考虑不再是君主的司法存在；考虑的是人口的生物存在。

The author strictly distinguishes existor from existence, reveals their symmetrical and complemental features and expounds the symmetrical and complemental relation between subjective existence and objective existence.

作者严格区分了在者与存在，揭示出其对称互补的特征，并进而论述了主客体存在的对称互补及其各自的对称互补关系。

This article is divided into four chapters: Chapter I of the existence of Marxist theory on the basis of science and the clarity; chapter of history throughout the domain of the existence of "person" and "Nature" and its relations; Chapter HI of Marx\'s "a science" thinking; conclusion in Chapter IV of the existence of Marxist theory on the scientific understanding of the minds of historical materialism.

本文共分为四章：第一章马克思关于科学的存在论基础的澄明；第二章在历史的存在论境域中的"人"与"自然"及其关系；第三章马克思的"一门科学"思想；第四章结语在马克思关于科学的存在论思想中领会历史唯物主义。

As the thinker who "thinking of" in the thinking with "existence" all sells life,Heidegger is thinking of about existence person"s problem always all, though I analyzenot many ideas to the theology making clear that, before a such times easy to bemisunderstood, he would rather choose keeping silent suitable for God, is byexpressing his religion feelings coming poetry and song at most, The person thinksdeeply that are all enlightening the modern theology researcher but and their selfthought deep about existence is full of beard, probe and study to be attracting thelatecomer that we there exist in these same attention"s at the same time also, may to thegreatest extent to such an extent even we have to.

作为终生都在思考"思"与"存在"的思想家，海德格尔一直都在思着关于存在及其存在者的问题，而这些问题本身也都是宗教、神学一直在关注着的，虽然他本人对神学的明确分析并不多见，在这样一个容易被误解的时代，他宁愿选择与上帝相宜的缄默，至多是通过诗歌来表达他的宗教情怀，但其关于存在与思的思考及其自身思想的深邃性都启发着现代的神学研究者，同时也吸引着我们这些同样关注存在的后来者的探索和研究，以至于我们不得不尽可能广泛的进行论述，希望从言说中获得关于海德格尔对上帝的缄默之思。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。