条件

Fri particular, the Wittmann-type strong law of larg numbers for independent random variables is generalized to the case of NA random variables. We also present the sufficient and necessary condition of the laws of logarithm, and we extend Teicher-type strong law of the large numbers for sequence of NA random variables. Some of the laws of iterated logarithm of Teicher-type, Egorov-type arid Wittmann-type for sequence of NA random variables are obtained. Then we investigate the rate3f ionvergcll( fbr series of NA randonl variables, we obtain soIne results fbr tl1e Iaws of theiterated logarithttl, the laws of logarithm and decreasing order fOr the tail sum.Risk itllttlysis tlleory is a sigIlifica11t part of insurance InatheInatics.

Wittmann（1985a）关于实独立随机变量列的结果，并给出了NA列强大数律成立的若干条件，特别建立了一般NA列对数律成立的充分必要条件，在二阶矩存在的条件下完整的解决了一般NA列对数律的问题，中文摘要2而已有的一些NA列对数律的结果可以由它推出，给出了NA列的Teiclier型强大数律，表明lbiChCI·（1979）给出的实独立随机变量列的强大数律可以减弱其条件等；建立厂不问分布NA列的Teicfl仪；Egorov，Petrov型有界重对数律，以及加权同分布NA列的有界重对数律，进一步推广了NA列的Kolmogory有界重对数律等，特别对NA列建立了Wittm洲型有界重对数律，而其证明方法与独立情形有很大不同，同时通过反例表明在与独立场合类似的条件下，独立列的Wittmann有界重对数律不能完美的推广到NA歹小惰形；最后研究了NA随机变量级数的收敛速度，给出了尾和下降的阶；尾和的有界重对数律，及尾和对数律成立的充要条件等，并通过反例说明 NA随机变量级数与独立随机变量级数在收敛速度方面存在的差异。

For a given Sturm-Liouville equation with positive leading coefficient function, by use of the monotonicity results of its natural loops, limit of boundary conditions and eigenvalues in the space of self-adjoint boundary conditions, a proof of the equalities among eigenvalues for coupled boundary conditions and those for separated boundary conditions is made.

内蒙古工业大学理学院副教授 2。对于给定的首相系数函数为正的 Sturm-Liouville方程，利用在自伴边界条件空间上自然圈、边界条件的极限和特征值的单调性的几个结果，给出了在偶合边界条件与分离边界条件下的特征值间的一些等式的证明。

In this thesis, we apply the equations of motion of steady Mach reflections and the oblique shock theory to derive polynomial expressions of the forms of f(r,Mo,P1) of downstream sonic and strong/weak separating conditions of reflected shocks of perfect-gas steady Mach reflections. We then obtain polynomial expressions of the forms of f(r,M0) for the limiting Mach angle condition of the above two expressions.

本论文首先应用稳态马赫反射流场运动方程式及斜震波关系式，推导出理想气体稳态马赫反射流场之反射震波下游之音速条件与反射震波之强弱分界条件之曲线解公式，并应用该曲线解公式来推导反射震波俱音速性质於Mach angle条件及反射震波俱强弱分界性质於Mach angle条件之公式。

Among the environmental factors,temperature nearly make the same effect toall the tree species of broad leaf korean pine forest.Moisture and fertility of soil aregreatly depend on the soil type.In the broad leaf korean pine forest zone,humus darkbrown soil has the best condition of moisture and fertility,The following are typicaldark brown soil、flood and forest soil;the third is albic brown soil and meadow soil;The worst ones are skeleton brown soil and marshy soil.

在影响树木生长的环境因子中，温度对所有树木的影响几乎相同，土壤的水肥因子是与土壤类型相关性很大的量，不同的土壤类型，水肥条件相差极大，在长白山阔叶红松林带，土壤水肥条件最好的是腐殖质暗棕壤，其次是典型暗棕壤和河滩森林土，土壤水肥条件一般的是草甸土和潜育暗棕壤，水肥条件最差的是粗骨棕壤和沼泽土。

The patent holder has, however, filed a statement of willingness to grant a license under these rights on reasonable and nondiscriminatory terms and conditions to applicants desiring to obtain such a license.

但专利持有者已提交了愿意在适当条件下根据同等对待但专利持有者已提交了愿意在适当条件下根据同等对待的提交了愿意在适当条件下根据同等对待的条款提供使用权的声明条款提供使用权的声明，以及希望得到该项使用权的用户声明，需满足的条件。

Based on the important results obtained from the present research on second degree price discrimination, this dissertation makes a systemic and more practical mathematics study on the side of the manufacturer angels, including further and more deeply research on monopoly manufacturer how to actualize second price discrimination under nonlinear demand function, Nash equilibrium of second degree price discrimination under the condition of competition with different demand functions, monopoly manufacturer how to actualize second

结果表明，其纳什均衡结果存在依赖于两厂商产品的市场占有率，并且两厂商需求区间的分段数越多，其纳什均衡存在的必要条件要求他们的实力越接近；第四章针对实际情况将确定性需求条件下厂商处于完全垄断状态下的二度价格歧视理论研究推广到不确定性需求条件下的二度价格歧视理论研究，更进一步地研究了垄断厂商在线性随机需求条件下的二度价格歧视模型，用计算机模拟了此模型的可行性，分析模拟结果得出了一系列重要结论，最后给出了更具一般性的不确定需求条件下的二度价格歧视模型，并严格证明了此模型的可行性；第五章对全文进行总结。

The classical overlapping Schwarz methods try to transport boundary information by exchanging message on the artificial boundaries. However because of taking Dirichlet conditions as the transmission conditions, which makes the solution reflect when across the artificial boundaries, classical overlapping Schwarz methods converge very slowly—suppose the overlapping domains take a little percentage.

人们很早就认识到，在Schwarz方法中可以采用其它的内边界条件—如Robin条件来代替Dirichlet内边界条件，而且也注意到如果参数选取合适，那么这些内边界条件可以大大加快Schwarz方法的收敛速度。

The pectin enzymolysis technology,juice debittering technology,and alcohol and acetic acid fermentation were studied. The results showed the best conditions of pectase hydrolysis are:amount of pectase 0.02%,temperature 50 ℃,pH 4.4 and time 4 h.

结果表明：果胶酶水解的最佳条件为：果胶酶添加量0.02%、温度50℃、pH4.4、时间120min；果汁脱苦最佳条件为：粒状活性炭添加量0.5%、室温搅拌60min；酒精发酵的最优条件为：接种量8%、发酵温度30℃、糖度20%、pH4.4、发酵时间4d；醋酸发酵的最优条件为：接种量10%、温度34℃、酒度8%、时间4d。

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。

The results showed that length from flag leaf pulvinus to spike base has the largest coefficient of variance of 42.1% and 37.2% in both DS and WW environments, respectively, while the spikelet per spike has the smallest CV of 6.4% and 5.7%. Under different water regimes, spike number per plant, effective spikelet per spike and peduncle length contribute a lot to the stable grain yield. Genetic diversity indices of DTI were from 1.95 to 2.07, with an average value of 2.02. Based on the DTI of agronomic traits, all accessions could be clustered into seven groups, the first and third groups are not sensitive to the water regimes, and the second group is more suitable for planting in dryland.

结果表明：在雨养和灌溉条件下，穗叶距的变异系数最高，分别为42.1%和37.2%，单穗总小穗数的变异系数最低，为6.4%和5.7%；不同水分条件下，植株稳产性主要受单株穗数、有效小穗数及穗下节长的影响；性状耐旱指数的多样性指数在1.95到2.07之间变化，平均值为2.02；根据性状耐旱指数将供试材料分为7个类群，其中第I、第III类群材料表现为对水分条件不敏感，而第II类群材料更适于在干旱条件下种植。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。