查询词典 a class of

In the previous work [1], we have considered a wild class of polynomial maps which turns into a class of difference equations and showed that for any dynamical systems from this class, the nonwandering set is bounded.

在[1]中，我们考虑一大类能够转成差分方程的多项式动态系统，且证明此类的动态系统的非游荡集是有界的。

In the first form, Class must be an instance of type or of a class derived from it.

第一种形式中，''Class'' 必须是 type 或其派生类的一个实例。

In the first form, instance must be an instance of Class or of a class derived from it.

第一种形式中， instance 必须是 Class 或其派生类的一个实例。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

Morishima's beautiful generalization of this Marx-Sraffa theorem,which can be stated as giving sufficient conditions for a subset of the goods to keep invariant relative prices as the profit rate changes, belongs to my Class A rather to Class B or Class C.

森岛通夫关于马克思－斯拉法定理很好的归纳，即可以被描述为在利润率改变的情况下为以一系列的商品保持不变的相对价格给出充分的条件，这属于我等级A的范畴而不是等级B或等级C。

With the idea of smoothing Newton method, we propose a new class of smoothing Newton methods for the nonlinear complementarity problem based on a class of special functions. In this paper, complementarity problem is converted into a series of smoothing nonlinear equations and a modified smoothing Newton algorithm is used to solve the equations. We use Newton direction and Gradient direction together in the algorithm which guarantees that our method is globally convergent. Also using another smoothing function, we reformulate the generalized nonlinear complementarity problems defined on a polyhedral cone as a system of smoothing equations and a smooth unconstrained optimization problem. Theoretical results that relate the stationary points of the merit function to the solution of the generalized nonlinear complementarity problems are presented, we use the modified smoothing Newton algorithm in generalized nonlinear complementarity problems, under mild hypothesis, a global convergence is proved.

本文一方面基于现有的各种光滑Newton法的思想和半光滑理论，利用著名的F-B互补函数的光滑形式，首先将互补问题的求解转化为求解一系列光滑的非线性方程组，然后给出了一种修正的光滑Newton法，该方法不仅放宽对函数F的要求，在Newton方程不可解时引入初始效益函数的最速下降方向，而且光滑因子的选择也比较简单可行，同时在适当的条件下，证明了其算法具有全局收敛性；另一方面，借助另一种F-B光滑函数，将多面体锥上的广义互补问题转化为一种光滑形式，讨论了优化问题的稳定点与广义非线性互补问题的解之间的理论关系，并将这种修正的光滑Newton法用于求解广义非线性互补问题中，在适当的条件下，该算法同样具有全局收敛性。

A set of basic rules for reversedly constructing program's class models are studied, and an inheritance-layered class diagram is proposed, which can be drawn automatically.

摘 要 研究了逆向构造程序类模型的基本规则，并且提出了一种可以自动绘制的、基于继承关系的层次型类图结构(inheritance-layered class diagram)。

The method further includes calculating a class of the frame, wherein a class is any one of a voiced or unvoiced class.

该方法还包括计算该帧的类，其中类是浊音或清音类中的任一个。

Secondly, we study a class of automorphisms of A, i.e., we prove that the set {φ∈SL_n|φ= t is a subgroup of AutA(n,t,Finally, we mainly discuss some properties of the operation w in A, i.e., g~w = 0, f~w = 0 and Leibniz identity.

其次，讨论了A的一类自同构，即证明了集合{φ∈SL_n|φ=t}是自同构群AutA(n，t的一个子群；最后，得到了A的运算w的一些性质，即g~w=0、f~w=0和Leibniz等式。

HE GAVE A PROFESSIONAL COMMENT ON THE NEW CAR.Although Eric is fond of big cars, as a matter of fact, the new C-Class is very familiar to him. Without the introduction of the writer, he gave a lot of opinion about C-280 Avantgarde. When compared with the old model, the new C-Class is much more sporty and does not lack the sense of grandeur which a Mercedes Benz has. Besides, its space is big enough and is suitable for the whole family.

虽然Eric钟情大型车，原来他对新C-Class亦耳熟能详，毋须笔者介绍，已经大谈他对C280 Avantgarde的意见，「新C-Class的设计，比起旧款实在Sporty得多，又不失平治的豪华感，加上空间够大，一家大小使用亦可，年轻人一个人驾驶也适合。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。