德勒

You have a pretty forward cast. Susan Rhodes watched as Margaret James false casted on a green lawn at Laramie County Community College.

你有一个美丽的未来投下苏珊罗德斯观看吴詹姆斯虚假铸造于一个绿色的草坪在拉勒米县社区学院。

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下："此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。"

It takes the function made up of Legendre orthogonal polynomial as displacement function, and use Galerkin method to solve this function. The methods calculating formulas is very simple, so the method can avoid the great calculating difficulty of traditional simplified methods.

正交多项式伽辽金法选取由勒让德正交多项式组成的函数作为位移函数，利用伽辽金法进行求解，计算公式简单，避免了一般简化计算方法由于计算公式的复杂所带来的计算困难。

Regional Color Texture-Dynamic Partial distance Function; Legendre chromaticity distribution moments ; Texture co-occurrence matrices ; DPF matching

区域色彩纹理-动态局部距离函数；勒让德色度矩；纹理共生矩阵；加权DPF匹配

Table 6 presents the value of the parameters of the Legendre polynomial and the pertinent consistency statistics.

表6表示勒让德多项式的参数值以及一致性检验的统计分析。

Graph′s depth first search recursive algorithm and n-order Legendre polynomial recursive algorithm are to equivalent non-recursive algorithms.

利用该组规则将图的深度优先搜索和n阶勒让德多项式的递归算法转换成了等价的非递归算法。

Flatness ; pattern recognition ; Legendre orthodoxy polynomial ; genetic algorithm ; neural network ; LSM

板形；模式识别；勒让德多项式；遗传算法；神经网络；最小二乘法1

The results show that Legendre polynomial of order 11 and 9 can evaluate accurately through-thickness residual stress in the rolling and transverse direction, and the root-mean-square average of the uncertainty is respectively 2.9015 MPa and 4.7558 MPa.

结果表明：分别采用11阶和9阶勒让德多项式能较好地拟合铝合金板材内部轧向和横向残余应力的分布，不确定度的均方根值分别为2.9015MPa和4.7558 MPa。

A network with different topologic configurations is needed for flatness pattern recognition when strip width is changing, in this case the large learn assignment, slow convergence and local minimal in the network are observed, in order to solve these problems, first, a flatness pattern recognition GA BP network model with only 6 input and 3 output signals has been established based on Legendre orthodoxy polynomial, which is not only simple in structure but also is of clear physical meaning.

针对板宽变化时需要不同拓扑结构的神经网络才能完成板形模式识别任务，网络学习工作量大，网络存在收敛速度慢，易陷入局部极小等结构性能不佳的问题，首次建立了以勒让德正交多项式为基模式的只用 6个输入信号、3个输出信号的板形模式识别 GA- BP网络模型。

We adopt concurrency method, and use the knowledge of the number theory, such as the Legendre symbol and the the congruence equation to construct some families of the opaque predicates that are suit for Java program.

采用并发方法，用勒让德符号和同余方程等数论知识构造了适合混淆Java程序的不透明谓词簇。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。