多值性

Results The tinnitus frequency, severity of subjective tinnitus, audiogram types and some items of function test above hearing threshold were significantly different in the five groups (P.05). Specific features of pure-tone test were found in the five groups: tinnitus frequency was low, whole- frequency hearing threshold high, audiogram even, short increment sensitivity index at 1 kHz high and tone decline at 4 kHz low in the syndrome of invasion of wind-heat; tinnitus frequency was high, high-frequency hearing loss common, audiogram abruptly descending, SISI and TD at 4 kHz high in the syndrome of liver-fire up-stirring; subjective tinnitus was loud, audiogram abruptly descending or gradually descending, SISI and 7W at 4 kHz low in the syndrome of stagnation of phlegm-fire; tinnitus frequency was high, subjective tinnitus low, audiogram markedly descending or hill-like, SISI and TD at 4 kHz high in the syndrome of kidney-essence deficiency; average hearing loss was less, audiogram irregular but abruptly descending or notched in most cases, SISI at 4 kHz low in the syndrome of weakness of spleen-stomach.

结果］耳鸣频率、自觉耳鸣程度、听力图类型及部分阈上功能测试指标在各证型间具有显著性差异(P.05)，这些指标在不同的证型中表现出不同的特点：风热侵袭型的耳鸣频率较低，全频听阈升高，听力图多为平坦型，短增量敏感指数得分在1kHz较高，而4kHz音衰值较低；肝火上扰型的耳鸣频率较高，听力损失以高频为主，听力图多为陡降型，4kHz SISI得分及TD值均较高；痰火郁结型的自觉耳鸣响度较大，听力图以陡降型或缓降型为主，4kHz SISI得分及TD值均较低；肾精亏损型的耳鸣频率较高，而自觉耳鸣响度较低，听力图以显降型或山型为主，4kHz SISI得分及TD值均较高；脾胃虚弱型的平均听力损失较小，听力图无一定规律性，但以陡降型或切迹型为主，4kHz SISI得分较低。

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。

In chapter 4, we first discussed the existence of multiple positive solutions of the second order nonsingular Dirichlet boundary value problem for impulsive differential equations by using the fixed point index theorem in cones . Next, we presented some new existence results for singular boundary value problems for second order impulsive differential equations by using fixed point theorem in cones and Leray-Schauder nonlinear alternative theorem.

第四章我们首先利用锥不动点定理讨论了非奇异二阶脉冲微分方程狄利克莱边值问题多个正解的存在性；其次我们用锥不动点定理和Leray-Schauder型非线性抉择定理，讨论了奇异二阶脉冲微分方程狄利克莱边值问题一个及多个正解的存在性。

Finally, after defining an evaluation module of the corresponding Loop superalgebra (Section 4), two major results of the paper -Theorem 4.land Theorem 4.2 are proved: Theorem 4.1 reduces the irreducibility of the tensor product of finitely many evaluation modules to the irreducibility of the tensor product of finitely many irreducible modules of a nilpotent Lie superalgebra; Theorem 4.2 gives a criterion for the tensor product of such modules to be irreducible.

第4节在定义了相应的Loop超代数的赋值模之后，证明了本文的两个主要结论：定理4.1和定理4.2。定理4.1将有限多个赋值模其张量积的不可约性归结为一幂零李超代数的限多个不可约模其张量积的不可约性；定理4.2利用不可约指标给出了一幂零李超代数的限多个不可约模其张量积仍不可约的判别准则。

This paper leads into the multinomial distribution concept and discusses the content in the following four aspects in details: First, defining the random vector is NA's, drawing out the nature of NA's for the multinomial distribution and proving the multinomial distribution is NA's; Then, introducing the way to own maximum values by three distributions, giving the method to gain the maximum value from general multinomial distribution, which is named the method of elimination.

本文引入了多项分布概念，同时详细讨论了以下四个方面的内容：1。定义了随机向量是NA的，并由此引出多项分布的NA性，并且证明了多项分布是NA的；2。介绍了三项分布最大值的求法，在此基础上给出了一般多项分布最大值的求法，即淘汰法。

In this paper,the Riemann boundary value problem for bianalytic vector function s is investigated using the theory of boundary value problem for analytic functions,we have not only found the solution method for bianalytic vector function s,but also established an explicit form of the general solution and the conditions for the solvability of the above problem.

利用解析向量函数边值问题理论，提出了双解析向量函数的R iem ann边值问题，并研究了问题的解法和解的一般表达式及可解性条件，得到了相应的可解性定理，同样方法可解决多解析向量函数的边值问题

The results from an example showed that the unbiased estimate of error variance could be obtained so that polygenic variance and polygenic heritability could not be underestimated. Moreover, the AIC values by using the average of two replications were less than that by using the observations of a replication.

在试验设计为重复内分组随机区组设计时，通过甘蓝型油菜初花期的遗传分析表明：这种方案的试验误差方差估计值无偏性好，可避免多基因方差和多基因遗传率被低估；重复观测值平均数的分离分析的AIC值低于利用单一重复资料的AIC值。

InSection 2,we give several sufficient conditions for the existence of one solution,multiplesolutions and infinitely many solutions of the Sturm-Liouville bvps via the generalizedpolar coordinates.Then in Section 3,the existence of positive solutions are proved undersuperlinearity,sublinearity and many other conditions by a fixed point theorem in cones.Our results have generalized those in many articles.A detailed discussion of periodic solu-tions of a kind of functional differential equations with high-order Laplacian-like operatorcan be found in Section 4 and this subject has not been studied before.

在第二节，我们定义了一种新的坐标变换-广义极坐标，并利用它讨论了p-Laplacian算子和Laplacian-型算子的Sturm-Liouville边值问题，分别得到了存在一个解、多个解、无穷多个解的多个充分条件；第三节研究p-Laplacian算子的Sturm-Liouville边值问题正解的存在性与多重性，采用的是锥上的不动点定理，全面推广了这一方面已有的结果；对目前研究较少的高维Laplacian-型算子及带有Laplacian-型算子的泛函微分方程的周期解问题，我们在第四节做了一些研究，这也是拓扑方法的一个应用。

The results of the ability of anti-oxidation scavenging DPPH free radical shows that polyhydroxy substituted N-benzoylserotonin derivatives (compound 1-10) have the generally better ability of anti-oxidation than control group, in which the IC50 of compound 1-10 ranges 8.75 to 18.02 μg/ml and the IC50 of trolox is 13.04 μg/ml. The abilities of anti-oxidation of compound 1, 4, 5, 7, and 10 are all better than the control group, trolox. Among all, compound 10 has the best ability of anti-oxidation (IC50 is 8.75 μg/ml). This study also discovers that the ability of scavenging DPPH free radical is strongly related to the number and the position of hydroxyl.

在清除DPPH自由基的抗氧化能力结果显示，相较於对照组水溶性维生素E之IC50值13.04 μg/ml，多羟基取代之N-色洛冬宁苯甲醯胺衍生物（化合物 1 ~ 10），皆具有相当不错的抗氧化能力，十种醯胺化合物的 IC50值介於8.75 ~ 18.02 μg/ml之间，化合物1、4、5、7、10的抗氧化能力效果皆优於对照组水溶性维生素E的IC50值，其中又以化合物10的效果最佳(IC50值8.75 μg/ml)，而清除DPPH自由基的能力发现与羟基的数量及其位置有关。

In the study of testing the overall ability of anti-oxidation, polyhydroxy substituted N-benzoylserotonin derivatives (compound 1-10) still have the better overall ability of anti-oxidation than control group, trolox. The IC50 values of compound 1-10 range 2.49 to 3.92, while the IC50 value of trolox is 5.23 μg/ml. Compound 10 is still the best derivative which has the best overall ability of anti-oxidation; IC50 value is 2.49 μg/ml.

而在总抗氧化能力结果显示，相较於对照组水溶性维生素E之IC50值5.23 μg/ml，多羟基取代之N-色洛冬宁苯甲醯胺衍生物（化合物1 ~ 10）之总抗氧化能力效果IC50值介於2.49 ~ 3.92 μg/ml之间，十种醯胺化合物的总抗氧化效果皆比对照组水溶性维生素E的抗氧化效果还要来得优越，其中效果最强的仍为化合物10，其 IC50值为 2.49 μg/ml。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐