查询词典 implicit function theorem

The paper, taking Pythagorean Theorem for example, analyzes the function, effect and the practice in the modern teaching.

分析了数学定理演变的原因及其对数学发展的作用，并以数学教材中典型的定理"勾股定理"为例，分析其在历史演化中的作用与影响，以及在现代中学里的教学。

Each of these three methods uses a different mathematic background, including one-way hash function, Chinese remainder theorem, and elliptic curve cryptosystem, to ensure the security of the secret key, and to meet the requirements of dynamic management such as solution to problems like adding and deleting groups, modifying relationships among groups, and changing of secret key, etc.

这三种方法分别使用不同的数学背景，包括单向杂凑函数、中国余数定理、以及椭圆曲线密码系统，用以确保秘密金钥的安全性，并且达到动态管理问题的需求，诸如：群组的新增与删除、群组关系的异动、以及更改秘密金钥等问题的解决方案。

Thirdly,we study certain Riemann boundary value problems and Singularintegral equations with values in a universal Clifford algebra 〓,by com-bining the classical methods of solving Riemann boundary value problems andsingular integral equations with the Taylor's expansion of regular function in Clif-ford analysis,proving a lemma which is similar to the Painleve theorem in theclassical complex analysis,and the Plemelj formula in Clifford analysis,we obtainthe better results under weaker condition than before.

第三，本文第一次借助于用来解决经典的Riemann边值问题与奇异积分方程的方法来研究Clifford分析中的某些Riemann边值问题与奇异积分方程，获得了在比以前文献中条件更弱的情况下，结论更广的结果，并且，它为更进一步地解决在Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想，为这一新的研究领域奠定了基础。

Using separation theorem of convex set and the time terminal value function equation,we obtain the determining method of optimal terminal time as well as the Maximum principle.

由凸集分离定理及终端时间阈值函数方程，我们获得了最大值原理及最优控制时间的确定方法。

Finally, with Tobin's "Separation Theorem", we introduce the transaction cost into the efficient frontier and t he effective efficient frontier is obtained. And a quadratic utility function is applied to demonstrate that maintaining a suitable level of transaction cost in the current Chinese stock market is important to the equilibrium of the Chinese stock market and the risk control of the individual asset.

本文的第四部分，引用托宾的"分离定理"，通过加入交易成本，区分了名义有效边界和实际有效边界，指出了交易成本调整对我国股票市场均衡影响的作用机制，并引入了效用函数，实证研究了交易成本适度对我国股票市场均衡和个人资产风险水平控制的重要意义。

As the first step, the usage of the important theorem of the Sobolev space supplies some exciting conclusions by discussion of the method of protruding analysis and the function of energy with the positive and negative cases being considered.

采用能量函数方法和改进的凸性分析方法，从Sobolev空间的重要定理——嵌入定理入手，分初始能量为正或者为负两种情况，对所述问题进行讨论，得到了令人满意的结果。

The spectral transfer function of the imaging spectrometer is defined on the basis of the linear system theorem.

根据光学传递函数理论，定义了光谱成像仪的光谱传递函数。

The strong law of large numbers for the state frequency and the strong limit theorem of arbitrary function for the Markov chain field on the arbitrary Cayley tree are investigated.

主要研究任意Cayley树上马尔可夫链场的状态出现频率的强大数定律以及Cayley树上任意函数的一类强大数定律。

In order to get the convergence properties of the weak set-valued Amart , we firstly proved the theorem that the limit of support functions is a support function.

为了得到关于弱集值渐近鞅的收敛性质，首先证明了支撑函数列的极限亦为一支撑函数。

This theorem states that the sum of the symmetric logic variables constitutes a level-0 kernel of the symmetric logic function.

该定理表明，对称逻辑函数的对称逻辑变量之和恰好构成了该逻辑函数的一个零级核。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。