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Experiments of flow conductivity closure stress of typical propping agent are done, propping agent short-term flow conductivity alteration index is defined, by this, the relation between fissure short-term flow conductivity and closure stress, it is close to exponential relation. 4. Establishing the mathematical simulator of hydraulic fractured well's production in a steady state, finding the relation curve between dimensionless flow conductivity and fracture penetration coefficient by means of calculation and analyses, it is the basis of hydraulic fracture. 5. Expatiating the importance of optimized hydraulic fracturing design in reservoir engineering, advancing the optimizing design method, fracture dimension can be calculated easily when the physical parameters are known. 6. Production rate decline standard curve of vertical fractured wells is achieved by mathematical simulation, when the flow pressure is certain , by asymptotic analyze, this decline curve is close to exponential relation.

完成了国内外典型支撑剂的导流能力闭合应力影响实验，在数据分析中定义了支撑剂短期导流能力变异系数，并由此发现裂缝短期导流能力随闭合应力变化的近似符合指数关系式； 4 建立了一种水力压裂井稳态产能的数学模拟器，计算分析找到了最优无量纲导流能力与裂缝穿透比之间的新型关系曲线，它是水力压裂优化设计的基础； 5 阐述了水力压裂油藏工程优化设计的重要性，提出了优化设计方法，在已知支撑剂物性参数条件下可简洁计算最优裂缝尺寸； 6 数学模拟给出了垂直裂缝井产量递减标准曲线，在井底定压条件下通过渐近分析表明，该递减曲线满足指数关系式。

By investigating the convexity, monotonicity and asymptotic behaviour of the optimal value function, it is shown that the optimal policy is of simple hedging point structure and featured by several hedging points.

通过研究最优值函数的凸性、单调性和渐近性，证明了最优策略具有简单的阈值结构且被几个阈值参数完全刻画。

The problems of teaching administration are investigated and analyzed, it is reachered and analyzed that domestic and abroad course arranging arithmetic such as heredity arithmetic, simulation-back arithmetic, expert system arithmetic, backdate arithmetic and first class arithmetic. A point of view that the target result is only subordinate result is clanitied.

通过对中职学校的教务管理排课问题的调查分析和国内外排课算法(遗传算法、模拟退火算法、专家系统方法、回溯算法、优先级算法等)的对比研究分析，阐明了由于排课问题算法的时间复杂度极高，实现有一定的难度，求最优解是理论上的，目标解只能是次优解的观点。

In order to solve the temperature optimization Control for basification Tower in complicated bleaching process, the optimization control strategy is analyzed. To avoid trapping at local optimization effectively, the improvement method for standard genetic algorithm is proposed.

摘 要：针对工艺复杂的漂白工段碱化塔温度控制优化问题，分析了碱化塔温度优化控制策略，提出了标准遗传算法的改进方法IGA，有效避免了标准遗传算法寻优过早陷入局部最优解问题。

Support vector machines can achieve good performance when applied to small samples pattern recognition problems. The basis support vector machine is designed for two-class problem.

支持向量机方法是专门针对小样本情况的，其目标是得到现有信息下的最优解而不仅仅是样本数趋于无穷大时的最优值。

In this paper, we firstly introduce" Bertrand paradox", then by improved Hotelling model, explain rationally" Bertrand paradox", then we define oligarch's advantage cost, offer each oligarch's perfect positioning strategy under differential cost.

本文首先介绍了伯川德悖论，接着利用改进的霍特林模型，对著名的"伯川德悖论"进行了合理的解释，定义了寡头的成本优势，给出了具有不同成本优势的情况下，不同寡头的最优定位纯策略和各自的最优利润。

Betterness rules on conversions are only applied for arguments that are explicitly given – omitted optional arguments are ignored for betterness purposes.

转换的最优原则只用于明确给定的实参——出于最优的目的，忽略掉的可选参数在重载解析时将不做考虑。

Bibliotherapy is one of effective counseling techniques for gifted students. However, the research on the use of bibliotherapy rarely leads to counseling and interventions for gifted students in Taiwan.

国外文献指出读书治疗是资优学生心理辅导的有效方法之一，然而目前国内有关资优学生读书治疗的辅导研究却相当欠缺。

Then the net income guarantee level is adjusted by the compare of the optimum customers' price and bided price.

通过权衡消费者剩余和政府担保的资金成本，在特许权人为风险中性的条件下，由逆向递推法求出使得社会福利最大的消费者付费最优价格，根据中标价格与最优价格的比较进行担保水平的调整确定。

Coefficient distribution of the APIDCSF is similar to that of circular quincunx Neville filter and its interpolating performance outperforms the Neville filters with high orders vanishing moments.The aim of bidimensional interpolating is to diminish the error between the true value and the estimated one.

二维内插的质量是以预测值与真值之间的误差来衡量的，按照最小均方误差的准则，利用二维自相关函数模型和环形内插滤波器的系数分布特点构造了最小均方误差意义上的环形最优内插器，实验证明了全相位离散反余弦内插器近似于最优内插器。

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。