查询词典 solvable equation

By the use of Circling cluster and Envlopment theory and flat surface sit-mark transformation theory, the chain wheel tooth equation of roller chain at high speed to match conjugage engagement is deduced.Establishing chain speed equation of roller chain at high speed,based on the analysis of the speed curves between roller chain at high speed and common roller chain,good drive of roller chain at high speed is verificated theoretically.By a example that move distance from transverse vibration between roller chain at high speed and common roller chain is contrasted,the accuracy of those theories that the paper brings up and higher functions of roller chain at high speed is proved.Finally, Establishing conjugage engagement line equation of roller chain at high speed and analyzing the complete engagement zone, the chain wheel tooth curve equation is studied at a higher degree. At the same time,the lack's place of the research result is pointed out.

依据高速滚子链设计要求与H_y-V_0齿形链的研究，阐述了滚子链传动实现准共轭啮合理论可能性；利用圆族包络法结合平面坐标变换理论推导出了满足共轭啮合的高速滚子链的链轮齿廓曲线；建立起高速滚子链链速方程，通过对高速滚子链与普通滚子链链速曲线的对比分析，从理论上验证了高速滚子链具有良好的传动性能；最后，建立起高速滚子链共轭啮合线方程，对其整个啮合区间进行了分析，进一步研究了链轮齿廓曲线方程，确定了主要参数的设计方法的问题，并同时指出了不足之处。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

On the basis of the differential game approach, necessary and sufficient solvable conditions for the hybrid estimation problem are provided in terms of solutions to a Riccati differential equation.

基于微分对策方法，混合估计问题有解的充要条件表达为 Riccati 微分方程的可解性。

For the Mooney material both cases are reduced to a linear partial differential equation solvable by the Fourier method.

对于Mooney材料，这两个情形均归结为可用Fourier方法求解的线性偏微分方程。

In this paper, we manily discuss the solvable problems including existence and continuity on a class of monotone type input-output equation in R~n.

Leontief所提出的"投入产出分析"，本文主要讨论和研究了R n空间中消耗为单调型的投入产出方程的可解性问题。

It is verified that if max-min (or max-product) fuzzy relation equation is solvable, the FDA algorithm will converge to the maximum solution, and a conclusion for the perfect association of stored pairs is achieved.

证明了如果最大-最小模糊关系方程有精确解，则FDA算法必定收敛到它的最大解。

If the neighborhood of equation solution is solvable and meets the point- by-point Lipschitz condition, stable boundary could be obtained as the convergence of the difference method is realized, and thus the stability is ensured.

方程解的邻近如果可解并具备逐点Lipschitz条件，则差分法收敛必有稳定界存在，从而差分格式收敛性保证其稳定性，因此可以放弃线性这一重要条件。

The application problems mainly focus on how to solve triangle, acute triangle function, equation, inequation, function and its image, the three-dimensional image of a solid; while such knowledge as, plane geometry, solid geometry, operation of number and equation, trigonometric function equation, permutation and combination, ordered series of numbers sum, probability has no application problems.

4高中物理学习中存在运用困难的数学知识主要有函数及其图像、解三角形、锐角三角函数、方程、不等式、求函数极值、几何体的三视图等，然而，平面几何、立体几何知识、数与式的运算、三角函数公式、排列组合、数列求和、概率等知识基本没有运用困难。

In order to widen the scope of application of the equation, a thermodynamical enthalpy potential equation of the LHSS equation was derived according to the thermodynamical relation of universality of the enthalpy, and it has been used for calculating the process of adiabatic throttle.

为拓宽该方程的适用范围，文章从热焓的普适性热动力学关系出发，推导了该方程的热力学焓差方程式，并把它应用于绝热节流计算过程。

Add it into your food such as to yogurt, cottage cheese and such.

你可以把它加入到像酸奶、奶酪一类的食物中一起进食。

The man was rescued about three hours later when his partner arrived home, SAPA said.

SAPA说，这为男子在三个小时后妻子回家后被解救