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That do not require derivative information and approximate the objective function without recourse to Taylor expansions.

虽然是有益的，我们觉得基于泰勒展式的分类法脱离了基本的问题。正如[27]，我们更强调逼近的构建，而不是他们构建的机制。

This paper makes use synthetically of series expansion and asymptotic expansion of complex argument Fresnel integral and the connections of the two expansions are found and analyzed. The computing of Fresnel integral in whole complex plane is so solved perfectly.

本文综合运用了复宗量菲涅耳积分的小宗量级数展开和大宗量渐近展开，并且找到了大宗量展开与小宗量展开的衔接部，圆满地解决了菲涅耳积分在整个复平面内的计算机计算问题。

In this paper the defect of the traditionary boundary layer methods (including the method of matched asymptotic expansions and the method of Visik-Lyusternik) is noted, from those methods we cannot construct the asymptotic expansion of boundary layer term really.

本文指出传统的边界层方法包括匹配法和Vi(？ik—Lyusternik方法的不足：不能作出边界层项的渐近展开式。提出多重尺度构造边界层项的方法，得到符合实情的结果。

At present no mathematical tables could be utilized and no detail characteristics could be known. This paper makes use synthetically of Taylor series expansion and asymptotic expansion of complex argument Fresnel integral and argument transition function and the connections of the two expansions are analysized and found.

本章综合运用了小宗量级数展开和大宗量渐近展开，并且找到了小宗量和大宗量的衔接部，圆满地解决了复宗量菲涅耳积分和复宗量过度函数在整个复平面上的计算机计算问题。

First, in the construction asymptotic expansions, it does not need to perturbations of the structure so special series of assumptions, or the need for a asymptotic matching, but generated its own approaches applicable to the asymptotic series.

首先，在构造渐近展式时，它不需要对摄动序列的结构做特别的假设，也不需要使用渐近匹配，而是生成自己的适用于问题的渐近序列。

Then,the second part is the basic facts about the numerical divided differenceand divided difference expansions, Then discussed the error bounds for the remainder term in Floater s divided difference expansions, and offers an pu...

第二部分是数值差商公式的基本概念，以及差商展开的思想；用初等的方法讨论了Floater中差商展开式的余项估计，|R_p|≤k~/k！

In this paper, we consider the problem of Edgeworth expansions for a class of U-statistic functions by using their Taylor expansions.

利用函数的泰勒展开，考虑了一类U统计量函数的Edgeworth展开问题。分别在函数的三、四阶导数有界等条件的假设下，给出了一类U统计量函数的Edgeworth 展开式

Because of the complexity of the terms in the expansions, many turned to the research of the second-order (also called one-term) Edgeworth expansions, and the rate of convergence of the distributions of the standard...

最近，在更弱的矩的条件下，关于单样本学生化U统计量的Edgeworth展开的收敛速度问题有了更进一步的结果。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

So the Zerg is definitely really able to get around the map and the other thing to remember too that a lot of players looking at it on the boards, which haven't had the chance to play is that we have a lot of additional mobility in this game, between Reapers, Vikings, Stalkers, and Nydus Worms – these races are more mobile than they have ever been, which really means that enemy players have a lot opportunities to spot these potential expansions and deal with them in a very real way that previously might have involved moving a much larger or even more dangerous force to engage these expansions.

虫族可能满地图侦查扩张，而其他玩家看到这种情况只要记住，在游戏中有大量额外移动能力很强的单位，使其无法轻松的扩张，比如收割者、维京战机、追踪者，和地道蠕虫――这些种族单位比以前都有更强的移动性，也就是说，虫族的对手有大量机会去发现这些潜在的扩张并且用正确的方法应对，包括长距离移动和更危险的军队打击这些扩建。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。