充分条件

FR conjugate gradient methods with perturbations are proposed. The global convergence property of the first method is proved under the condition of main directions' sufficient descent. Whereas, in the proof of the convergence for the other two methods, we only need main directions' descent. Importantly and quite interesting, boundedness conditions such as objective function being bounded below, boundedness of level set are not needed. Chapter 5 presents a version of Dai-Yuan conjugate gradient method with perturbations.

在主方向充分下降的条件下证明了第一个方法的全局收敛性，而后两个方法的收敛性是在主方向下降的条件下证明的，这些收敛性证明的一个共同特征就是不需要目标函数有下界或水平集有界等有界性条件，第5章采用Wolfe或Armijo步长规则提出了带扰动项的Dai-Yuanabbr。

First by introducing the sufficient decrease condition,the Wolfe condition and the Goldstein condition with their strong local search capabilities, do the step length selection. The search direction is using conjugate gradient direction.

通过引入经典优化中局部搜索能力较强的充分下降条件、Wolfe条件、Goldstein条件确定步长，而搜索方向采用共轭梯度方向进行局部搜索，由此得到一类高效的非精确的混合遗传算法。

In the fourth chapter, we discussion the characterization of admissible in the general linear model under equality constraint and inequality constraint, we give the necessary and sufficient condition that homogeneous linear estimator is admissible estimator, and by using the relationship between homogeneous and inhomogeneous linear estimator, we obtain the characterization of admissible inhomogeneous linear estimator.

第四章分别在带等式约束条件以及不等式约束条件下，讨论了一般线性模型线性估计的可容许性特征，给出了在约束条件下齐次线性估计为可容许估计的充分必要条件，同时利用齐次线性估计与非齐次线性估计之间的关系，把齐次线性估计的可容许性特征推广到了非齐次线性估计的可容许性特征。

Based on the research, founded on existing production conditions, production capability and technical natures of KISC, especially its own development requirements, linked with the development trend of the iron and steel industry, fully considering the continuity of equipment upgrade and technical optimization of KISC, guided under principles of validity and benefit, the writer analyses and argues that in current conditions. KISC shall not adopt the hot metal pretreatment of desiliconization, dephosphorization and desulphurization, but the end-point converter process to improve the dephosphorization effect. But according to the development plan of KISC, with its scale development, upgradeof equipment and technical conditions and implementation of a plan to use high-phosphorus ironstone, its more suitable to adopt the converter-shaped pretreatment of desiliconization, dephosphorization and desulphurization.

在此研究基础上，立足昆钢当前生产条件、生产能力和工艺特点，特别是昆钢自身发展需要，结合钢铁工业发展趋势，充分考虑昆钢现行装备改造和工艺优化的延续性，以有效性和经济性原则为指导，分析讨论了在昆钢当前条件下，不适宜采用铁水"三脱"预处理工艺，而宜考虑采用转炉复吹技术以达到改善转炉吹炼过程脱磷效果的目的；而根据昆钢的发展规划，随着昆钢的规模化发展，生产装备及工艺条件的更新改善及利用高磷铁矿计划的实施，则适宜采用转炉型"三脱"预处理技术。

This project also obtained several limit theorems for some important dependent random variables and stochastic processes, such as the Strassen law of the iterated logarithm for negatively dependent random variables, strong limit theorems for mixing random vectors in Banach spaces, sample path properties for two-parameter fractional Wiener processes, and so on.

随机环境中的随机变量与随机过程的研究在国内外相当活跃，本项目主要研究它们的极限性质，着重研究了随机风景中随机变量与随机过程的极限性质，主要取得了以下几个结果：首先对简单对称的Kesten-Spitzer随机游动在低阶矩的条件下给出了强逼近，大大减弱了前人要求任意阶矩的条件，然后对独立风景中的一般随机变量给出了强逼近的一般性结果，由此导出在风景和随机变量都只具有低阶矩的条件下的独立但不同分布、混合相依变量的强逼近，在只有弱高于二阶矩的条件下得到了重相对数律和弱收敛；给出了连续时间参数的Brown风景中Brown运动和稳定风景中稳定过程的滞后增量和连续模等精确样本轨道性质；同时给出了一些重要的相依随机变量和过程的若干极限定理，如负相关随机变量的Strassen重对数律、抽象空间上混合相依变量的一些强极限定理成立的充分必要条件、两参数分数Wiener过程的样本轨道性质等。

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。

All concerned for setting up a remedial and maintenance program should understand the performance requirements, time limit for the project, the cost, the maintenance, geology, construction conditions, environmental protection, building material, and the stability change of the slope with time and the reservoir filling, stability under different combination of loads.

治理工程措施选择应充分考虑治理工程功能性的具体要求、在不同工况条件下的安全性及耐久性、工期要求和投资的经济性以及后期维护的要求、工程岩土体性质及其蓄水后的变化、场地条件、施工技术条件、地方材料资源等具体制约因素以及环境保护的要求。

Based on the research, founded on existing production conditions, production capability and technical natures of KISC, especially its own development requirements, linked with the development trend of the iron and steel industry, fully considering the continuity of equipment upgrade and technical optimization of KISC, guided under principles of validity and benefit, the writer analyses and argues that in current conditions. KISC shall not adopt the hot metal pretreatment of desiliconization, dephosphorization and desulphurization, but the end-point converter process to improve the dephosphorization effect. But according to the development plan of KISC, with its scale development, upgradeof equipment and technical conditions and implementation of a plan to use high-phosphorus ironstone, its more suitable to adopt the converter-shaped pretreatment of desiliconization, dephosphorization and desulphurization.

在此研究基础上，立足昆钢当前生产条件、生产能力和工艺特点，特别是昆钢自身发展需要，结合钢铁工业发展趋势，充分考虑昆钢现行装备改造和工艺优化的延续性，以有效性和经济性原则为指导，分析讨论了在昆钢当前条件下，不适宜采用铁水&三脱&预处理工艺，而宜考虑采用转炉复吹技术以达到改善转炉吹炼过程脱磷效果的目的；而根据昆钢的发展规划，随着昆钢的规模化发展，生产装备及工艺条件的更新改善及利用高磷铁矿计划的实施，则适宜采用转炉型&三脱&预处理技术。

All weighing tests should be made in the standard atmosphere for testing textile.after the specimens have been conditioned in the same atmosphere.it may be impractical to condition the specimens in option A or nonconditioned testing may be agreed upon by the purchaser and supplier.when the full rolls or bolts of fabric can not be properly conditioned in a resonable time with available facilities,perform the tests without conditioning and report the actual conditions prevailing at the time of the test.such results may not correspond with the results obtained after testing adequately conditioned specimens in the standard atmosphere for testing textiles.

D1776实际操作的定向试块。纺织品的所有的权衡测试都应该在标准大气压下进行。当试块被置入同等气压的条件之后，或许将试块限制于A选项是不切实际的，而且有可能条件测试并不一定会被供应商和客户认同，当充满凹凸不平和毛刺的织物不能被适当的限制与合理的时间和现有的设施的时候，在没有限制的情况先执行试验并准确的报告在测试时的有力条件。这样得到的对纺织品测试的结果或许会与在真空中得到充分限制测试的结果不相一致。

This text aims at the difference of several representative geology conditions in Yang Shui mining area, carried on the primary election to the mining method of Yang Shui mining area, introduced the new theories of numerical optimization choice of mining method that are fuzzy mathematics and artificial neural network etc, based on the existing mining methods that are feasible, adopt the fuzzy optimization choice principle of flexible neural networks, and synthesize several experts and fieldworkers' opinion, built up the related mathematical model and revised model, carried on processing of programming through computer, thus established each optimization mining project under several representative geology conditions in Yang Shui mining area, and carried on optimizing to the existent unreasonable parameter in mining project;have the great significance to aim at each kind of geology condition for each mining area to adjust the mining method in time in the course of mining, abandon chronically unreasonable mining method, full reclaim the mine's resource, lower the dilution rate、 loss rate of mineral mining, raise the production capacity of stope and economic benefit of mine.

本文针对洋水矿区几种典型地质条件差异，对洋水矿区采矿方法进行了初选，介绍了模糊数学和人工神经网络等采矿方法数值优选新理论，在现有可行性采矿方法的基础上，采用弹性神经网络模糊优选原理，并综合多位专家及现场工作者的意见，建立了相关的数学模型及修正模型，通过计算机进行编程处理，从而确立了洋水矿区几种典型地质条件下各自的最优采矿方案，并针对采矿方案中存在的不合理参数进行了优化，为各矿区针对各类地质条件在采矿过程中及时调整采矿方法，摈弃习惯性的不合理采矿方法，充分回收矿山资源、降低矿石开采的贫化率、损失率，提高采场生产能力以及矿山经济效益具有重大意义。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！