半线性的

Research shows that the action integral of periodic orbit has a simple linear relation with the energy of system, we could semiclassically quantize the system using the nearnest integer of the periodic orbits' action integral.

研究表明，周期轨道的作用量积分与系统的能量有着简单的线性关系，可以利用周期轨道的作用量积分最接近的整数对系统进行半经典量子化。

The paper draws linear unusual differential equation a_0y~(n+a_1y~(n-1+…+a_(n-1)y′+α_ny=∑mi=0k_iδ~(i from the practical problems in the engineering field of electronic technology,circuit analysis,mechanics of materials,mechanical design and civil architecture,discusses the dependence of the solution of the equation on that of homogeneous,gives the algorithm of the equation,and draws the general algorithm of semi-odd number rank unusual Bessel differential equation.

在电子技术、电路分析、材料力学、机械设计和土木建筑等工程技术领域中，常会遇到一类非齐次项为奇异函数的广义线性微分方程，本文给出这类奇异微分方程的解对齐次解的依赖性，从而得出这类奇异微分方程的解法，求出了半奇数阶奇异Bessel微分方程的通解。如下列应用问题中的微分方

And a way to find the elements ofthat are conjugate to is proposed. Then we prove that the quotient group is isomorphic to, the symmetric group of order , and is a semidirect product group of with the classical binary simplex code in the linear case. Finally, we generalize a result due to Calderbank et al..

本文刻画了商群与集合的关系，给出了一个确定集合中那些与共轭的元素的方法，还证明了在线性情形下，商群与阶对称群是同构的，而且是与经典单形码的一个半直积，并且推关广了Calderbank等人的一个结果。

The new methodof defining spline function will generalize the concept to the more universal Hilbert space. Hence, we take into consideration the interpolation spline function, general linear differential operater in semi- open interval and the Green function defined accordingly, and the reproducing kernel to produce the Green function and prove the existence of the reproducing kernel.

采用了一种新的样条函数的定义方法，把样条函数的概念推广到更一般的Hilbert空间上，再考虑半开闭区间a，+∞上的插值样条函数，一般线性微分算子及其定义的Green函数和再生核，构造出Green函数并且证明了再生核的存在性。

To obtain quadratical convergence, however, strict complementarity condition at the Danskin point was used. The condition is too strict to be satisfied in many practical problems such as discrete semi-infinite minimax problem. Another kind of Newton method for finite minimax problems was presented by E. Polak and, without strict complementarity at the Danskin point, superlinear convergence (of order 3/2) was proven.

Polak等人提出了一种直接求解极大极小问题的二阶收敛的牛顿法，但是为获得二阶收敛速度要求在Danskin点处满足严格互补条件，这个条件太强，很多实际问题尤其是半无限极大极小问题的离散化不满足该条件；他们又给出另外一种牛顿法，在不假设严格互补条件成立的情况下，证明了它的超线性（3/2阶）收敛性。

In this dissertation, a theorem to describe the relationship between the quotient group Aut/H and the set F_f is presented. And a way to find the elements of F_f that are conjugate to f is proposed. Then we prove that the quotient group Aut/H is isomorphic to S_3, the symmetric group of order 3, and H is a semidirect product group of GL_(m/2)(4) with the classical binary simplex code S_m in the linear case.

本文刻画了商群Aut／H与集合F_f的关系，给出了一个确定集合F_f中那些与f共轭的元素的方法，还证明了在线性情形下，商群Aut／H与3阶对称群S_3是同构的，而且H是GL_(m/2)(4)与经典单形码S_m的一个半直积，并且推关广了Calderbank等人的一个结果。

Assuming R be a semiprime ring with extended centroid C and Q be the maximal right quotient ring of R, f be a noncentral multilinear polynomial over C.d and δ are derivations of R.

给出了，假设R是带有扩张形心的半素环，Q 为R的极大右商环，f是R的扩张形心C上的非中心值的多线性多项式。

From Karlsson's formula and the polar effect, we realize that the half periodic parameter of redshift is 0.206, in theory, we finally explain why the great wall is at redshift Z=0.079 in redshift space; We have defined quasar as the early star nearby the position poles and opposite poles, and given the answer for two difficult problems of theirs; Based on the course of explanation for redshift space, we have reason to think that our universe might be the linear expansion hyperspherical universe.

从Karlsson公式及极点效应，我们认识到红移的半周期参数为0.206，最终从理论上解释了为什么红移长城在红移空间的位置为 Z=0.079；我们定义类星体为在位置极点和异极点附近的早期恒星，进而给出与其相关的两个难题的答案；基于对红移空间的解释过程，我们有理由认为我们的宇宙是线性膨胀超球面宇宙。

As the algorithm for the evaluation of left - linear recursions, the algorithm we present here follows the magic-sets paradigm of a rewriting phase followed by semi -naive bottom-up evaluation.

和左线性递归计算算法一样，本文提供的算法遵循魔集的模式：首先改写规则，然后用半扑质的自底向上算法计算新规则。

In Chapter 4, by means of the result obtained in Chapter 2 and as in the autonomous case, the author adopts a direct constructive method and obtains the local exact controllability for general nonautonomous first order quasilinear hyperbolic systems.

在第四章，作者以第三章建立起来的半整体C~1解理论为基础，采用一个与自治系统情况相似的直接构造方法得到了非自治一阶拟线性双曲组的局部精确能控性。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。