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In terms of the minimum question of a positive definite quadratic function,a set of Newton directions in minimum points derived with an accurate single dimensional search are used to produce a set of conjugate direction ,and a proof of convergence is presented.

对正定二次函数极小问题，利用精确一维搜索所得极小点处的牛顿方向来生成一组共轭方向，并给出收敛性证明

We introduce the basic concepts needed to analyze the estimation error in VC theory by showing the connection between Empirical Risk Minimization consistency and uniform convergence and illustrate necessary and sufficient conditions for the consistency of the ERM principle, that is for the convergence of the minimum of the empirical risk to the minimum of the expected risk.

为了整合最小化经验风险和最小化期望风险理论，我们将藉由最小化经验风险(Empirical Risk Minimization， ERM)及统一收敛性举例说明原理的必要与充份条件，以分析VC计算理论的误差估算所需的基本概念。

Cold and hot appetizers 1、steamed fresh scallop seasonal price 2、deep fried lobster in salt and chilli seasonal price 3、braised lobster with ginger and spring onions seasonal price 4、crispy sqring rolls 5、sesame prawn on toast 6、grilled prawn in salt and chilli 7、paper prawn on toast 8、king prawn cutlet in breadcrumbs 9、prawn cocktail 10 sweet and sour won ton 11 deep fried minced squid with thai sauce 12 deep fried squid in salt and chilli 13 deep fried squid 14 barbecue spare ribs 15 mini spare ribs in o.k sauce 16 mini spare ribs in honey sauce 17 mini spare ribs in salt and chilli 18 capital spare ribs 19 satay chicken 20 szechuan style lettuce wraps 21 pang pang chicken 22 shredded chicken in yellow bean sauce 23 paper wrap chicken 24 crispy seaweed 25 crispy lamb wraps with lettuce 26 griddled fried pork dumblings 27 steamed pork dumplings 28 stir fried mussels in black bean sauce 29 special crispy platter(minimum for 2 people)(spring rolls satay chicken crespy seaweed.barbecue spare ribs and sesame prawn on toast) 30 seafood platter (minimum for 2 people) sesame prawn on toast deep fried seallops.

冷和热的开胃菜 1、steamed新鲜的扇贝季节性价格 2、油炸了在盐和辣椒季节性价格的龙虾与姜和春天葱季节性价格的3、braised龙虾4、crispy sqring的卷在多士的5、sesame大虾在盐和辣椒的6、grilled大虾在多士的7、paper大虾 8、king在面包渣的大虾炸肉排 9、prawn鸡尾酒 10糖醋被赢取的吨 11被油炸的剁碎的乌贼用泰国调味汁 12在盐和辣椒的被油炸的乌贼 13被油炸的乌贼 14烤肉排骨 15在好的调味汁的微型排骨 16在蜂蜜调味汁的微型排骨 17在盐和辣椒的微型排骨 18资本排骨 19 satay鸡 20 szechuan样式莴苣套 21剧痛剧痛鸡 22在黄豆调味汁的切细的鸡 23纸套鸡 24酥脆海草 25酥脆羊羔套用莴苣 26烤了油煎的猪肉dumblings 27蒸的猪肉饺子 28混乱油煎了在黑豆调味汁的淡菜 29特别酥脆盛肉盘(2个人的极小值)(春卷satay鸡在多士的crespy seaweed.barbecue排骨和芝麻大虾) 30海鲜盛肉盘(2个人的极小值)在多士被油炸的seallops的芝麻大虾。

The decennary increment of AOD averaged from all stations was 0.05. As to mean values, the maximum was in Sichuan Basin of 0.649, and the second maximum in South-Xinjiang Basin of 0.411, while the minimum was in Qinhai-Tibet plateau of 0.125. As to seasonal mean, AOD in spring had the highest value, and then in summer, while the minimum was in winter.

对本文方法反演的50多个台站1961～1990年的0.75μm对流层AOD数据进行统计分析，结果表明：我国AOD分布受地形影响显著，存在四川盆地、南疆盆地高值区和青藏高原低值区，1961～1990年平均AOD四川盆地为0.649，南疆盆地为0.411，青藏高原为0.125.1961～1990年，四川盆地光学厚度增加最显著，平均每十年增加0.16；南疆盆地光学厚度增长相对缓慢，平均每十年增加0.03；青藏高原为光学厚度增加最缓慢的地区，平均每十年增加0.01；全国平均AOD每十年增加0.05。

Applying energy variation principle, we give equation s defining parameters in flexural function, stability equation , frequency equation , and general formulae of minimum critical force and minimum eigenfrequency as well.

应用能量变分原理，给出了确定挠曲函数中待定参数的方程，以及稳定性方程和频率方程，给出了求最小临界力和最小固有频率的一般公式。

A method of state equation for determining minimum miscible pressure of CO_2;2. The minimum miscible pressure s of CO2,N2,natural gas and crude oil are measured.

通过气驱细管实验，在地层条件下测定了大庆油田芳48断块在二氧化碳、氮和天然气驱下原油采收率与压力的关系，由此确定了原油与二氧化碳、氮和天然气的最小混相压力。

In the same depth, the content of total nitrogen of broad-leaved deciduous forest in 0~10 cm depth is maximum ,and the average total nitrogen of the bamboo forest is maximum in 10~20 cm and 20~30 cm. The available phosphorus content of broad-leaved deciduous forest is minimum, and the available phosphorus content of coniferous forest is minimum, the deviancy is very big, which is mainly related to the human being's activities and the way of soil usage.

同一土层深度，落叶阔叶林在0~10cm土层全氮含量最高，而毛竹林在10~20cm和20~30cm土层全氮含量都超过落叶阔叶林，使得毛竹林在土壤平均全氮含量为最高；各种森林类型中以阔叶林尤其是落叶阔叶林的速效磷含量最高，而针叶林的速效磷含量最低，空间变动性很大，这主要和人类活动及土壤的利用方式有关。

By means of the projection method,adding a small disturbing function to the objective function, the penalty method, andthe gradient method, this dissertation proposes several neural networks for solvingsaddle point problems and minimum radius of ball-coverings problems, and investi-gates the stability of the proposed networks by the LaSalle invariance principle andthe Lyapunov method, so as to design neural networks which avoid getting stuck inthe local minimum.

本文针对约束鞍点问题和球覆盖最小半径的计算问题，分别利用投影法、对目标函数加上很小"扰动函数"的逼近法、罚函数法和梯度法等建立神经网络模型进行求解，并基于LaSalle不变集原理和Lyapunov直接法等工具，对模型的动态特性进行研究，从而设计出避免陷入局部极小的优化计算神经网络模型。

The goal is to select the optimum numbers,locations and capacities of transfer facilities and dispose facilities to open so that all wastes sources are satisfied at minimum total costs of the reverse logistics network and at minimum disutility to people.

考虑了在满足公众的意愿的情况下，建立了一个多目标的纯整数规划模型，最小化总的建设费用和设施对公众产生的负效用。

The numerical results indicated that the mixing time decreases about linearly with increasing current intensity. The mixing time decreases first then increases with increasing current frequency and comes up to its minimum value at 30Hz. Applying the traveling magnetic field to the uptake or downtake when the exciting current intensity is 200 A at 10 Hz, the mixing time can be shortened by 9%~17%. With the operating conditions kept unchanged, shorter mixing time is available if applying the traveling magnetic field to the uptake instead of downtake, and the time can be shortened by 18%~26% if applying the magnetic field to both the uptake and downtake. Moreover, the mixing time decreases with increasing argon blowing flowrate, and the time comes down to its minimum value if the argon blowing flowrate is 1 600 NL/min. After the moment, the mixing time increases with argon blowing flowrate.

计算结果表明：混匀时间随电流强度的增大而减小，并且近似成线性关系；混匀时间随电流频率的增加先减小后增大，并且在30Hz 时达到极小值；在励磁电流强度为200A ，频率为10Hz 的条件下，在上升管或下降管施加行波磁场混匀时间可缩短9%~17%；在相同操作条件下，在上升管处施加行波磁场混匀时间小于在下降管施加行波磁场的混匀时间；同时在上升管和下降管施加行波磁场，混匀时间可缩短18%~26%；混匀时间随吹氩量的增大而减小，在吹氩量为1600NL/min 时混匀时间达到极小值，吹氩量继续增大时，混匀时间反而增大。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。