查询词典 polynomial equation

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

The equation for item level from item slot is a logarithmic equation and the equation from item level to weapon DPS would require an exponential equation, therefore an equation from item slot value, the value prior to item level, to weapon DPS would be a linear equation.

武器DPS是物品等级中一个很有趣的属性，因为它似乎有多种计算方法。最近加入的传家宝物品可以提出和回答这个问题。物品等级在57以前的时候，它的计算方法和蓝装的线形公式一样，传家宝武器不是线形增长的，似乎是介于线形和多项式增长之间。在58-67的时候，传家宝武器的DPS随物品等级成指数增长。在68-80的时候，武器DPS也是成指数增长，但是速度不同。在100-226之间的史诗物品成相同的指数增长。

The asymptotical properties of KdV equation and KP equation exhibit the soliton behavior when some conditions are satisfied, and in some cases the parameter matrices describing the interaction between two solutions is quite simple. Two kinds of solutions of the second coupled equations of AKNS hierarchy are provided and applied to NLS equation. A systemical way of construction of special solutions is also tried for DS equation. Most of the results on a scalar equation can often be directly generalized to some matrix equation, and the difference between the ω in scalar form and ω in matrix form lies only in the replacement of vector p, q by matrices p, q.

对KdV方程和KP方程渐近性质的讨论显现出解在一定条件下的孤子特性，从而使得一些情形下，同类解的相互作用体现在参数矩阵上变的较简单；我们给出了AKNS方程的两类不同解，并约化到NLS；对DS方程，我们从另一个方面初步探讨了形式化推导矩阵方程特解的方法；把这些有关标量ω的结果推广到ω为矩阵上往往只要把p，q变为矩阵即可，进而可以再推广到方程组上。

A quasi one-dimensional, time dependent system model based on the parallel compressor theory was used to compute the effect of inlet distortion on turbine engine stability; Through Modifying steady state continuum equation, momentum equation and energy equation, the effect of power extraction and additional bleed on turbine engine running line was computed. Unsteady state continuum equation, momentum equation and energy equation were solved for computing the effect of acceleration on turbine engine running line.

其中，进气畸变对发动机气动稳定性影响的计算采用平行压气机模型，基于李亚普诺夫理论的方法完成；附加引气、功率提取对发动机气动稳定性的影响采用通过对发动机转子间质量、动量、能量守恒方程进行修正的方法进行；加速过程对发动机气动稳定性的影响采用欧拉方法求解动态的质量、动量、能量守恒方程的方法完成；最后采用&层迭&的方法进行各种降稳因素的综合评估。

The direct displacement problem can be changed into solving a polynomial equation called the equivalent polynomial equation.

研究表明其正解问题最后可转化为一个高次多项式方程求解问题，称此方程为正解的等价多项式方程。

As long as the system of first order polynomial DDEs in (1+1)-dimensions is given, no matter whether a single equation or the coupled equation, CLawDDEs can automatically output the scaling symmetries of the variables and a series of possible polynomial conservation laws for different rank.

只要输入多项式形式的等秩DDE，无论是单个方程还是耦合方程组，CLawDDEs都能自动确定变量的标度变换特性和不同秩的多项式守恒律。

Tested approaches where background reflectance is described as a n-degree polynomial in wavelength, resulting in a second degree polynomial (n=2) for the O2-A band, while a higher degree polynomial (n=6) was necessary for the O2-B band, as tested over a large database of many possible combinations of r and F cases.

测试(2009)方法在背景反射被描述为一个n-degree 多项式的波长，导致了第二学位多项式(n = 2)，而O2-A乐队更高程度的多项式(n = 6)是必要的，O2-B乐队测试在大型数据库的吗许多可能的组合和F的病例。

This text from 艾森斯坦 because of distinguishing the relevant conclusion between method and number theory inside gaved a few and whole coefficient polynomial can't invite of judge the method, discussed at the same time not higher than four times whole coefficient polynomial can invite sex problem, get some three times, four times whole coefficient polynomial can invite sexual and simple judging the method.

本文由艾森斯坦因判别法及数论中的有关结论给出了几个整系数多项式不可约的判定方法，同时讨论了不高于四次的整系数多项式的可约性问题，得到了某些三次，四次整系数多项式可约性的简易判定方法。

Chapter two study iteration of a serial of polynomial, discussed the sufficient and necessary conditions and denseness of the Julia set, the relative random dynamical system is constructed by some high degree polynomial. In addition, it discuss the Mandelbrot set of a kind of polynomial.

本文的第二章主要研究多个函数的特定迭代序列，讨论了高次多项式的随机复动力系统的Julia集的连通的充分必要条件以及稠密性问题，同时还讨论了一类多项式函数的Mandelbrot集。

Polynomial smooth techniques are applied to SVM model and replace x+ by a very accurate smooth approximation that is Hermite Interpolation polynomial,thus the undifferential model is converted into a differential model.The deduction procedure of Hermite Interpolation polynomial smoothing x+ is extended.

三次Hermite插值多项式光滑的支持向量机模型采用的是一种多项式光滑技术，用三次Hermite插值多项式代替单变量函数x+，将原来不可微的模型变为可微的模型，并且给出了三次Hermite插值多项式光滑化单变量函数x+的推导过程。

It's rather showy.I'd like something plainer.

赶花了，我想要素净些的。

The Kremlins Spassky Tower and passers-by are reflected in the wet cobblestones of Moscows Red Square on Feb.

克里姆林宫的斯巴斯克塔和旅客的身影倒映在潮湿的鹅卵石墙上。