丢番图方程；素数；整数解；勒让德符号；同余。
Diophantine equation; prime; integer solution; Legendre symbol; congruence.
“法国象征文化奇迹、工业强国、美好生活，”建筑师勒让德说。
"France symbolises a cultural wonder, industrial know-how, the good life," said architect Legendre.
介绍勒让德方程在自然边界条件下的解，重点推导了勒让德函数的系数。
The solution of Legendre equation has been introduced in the condition of natural limit and the emphasis is put on the inference to the coefficient of the Legendre function.
对广义罗尔定理进行了证明，并应用广义罗尔定理讨论了勒让德多项式的零点。
This paper demonstrates the generalized Rolle theorem and discussed the zero of Legendre polynomials.
角度部分的DVR基组选择勒让德多项式形式，而径向坐标采用正弦函数形式。
The angular coordinate used a DVR based on Legendre polynomials and the radial coordinates utilized a DVR based on sine basis functions.
针对勒让德谱元方法，构造了一类混合局部基函数，并证明了其线性无关特点。
A class of hybrid basis are designed for Legengre spectral element method and it's linear independence is proved.
通过实例分析，探讨用勒让德多项式和定解条件求解静电场时确定系数的方法。
By analyzing the sample, study the method of seeking given parameters by using Lengendre polynomials and condition of fixed solution.
数值结果显示所提出的积分方案在计算效率上比高斯-勒让德积分有大幅度提高。
The numerical results exhibit a great saving in the computational efforts for the proposed integration scheme as compared with the Gauss-Legendre one.
根据计算精度要求，确定福里哀级数和勒让德多项式的项数，从而得到实用简化公式。
According to the desired accuracy, we determine the number of terms in the Fourier series and Legendre polynomials, then the Practical simplified formulae are obtained.
应用勒让德多项式的加法定理和类似于求傅里叶系数的方法，导出了新展式中系数的普遍表达式。
The method, which we use to derive the general expressions for the new coefficients in the development of gravity anomaly Ag(m, a), is analogous to Fourier's.
文章给出了基于高阶叠层型勒让德基函数的矩量法公式，并引入自适应积分方法来加速其求解过程。
The higher-order hierarchical Legendre basis functions based MOM is introduced, and the AIM is employed to accelerate the solving procedure.
本文研究了散射相函数的有限项的勒让德展开对于求解辐射传输方程的误差效应，提出了一个改进算法。
In this paper, the effect of Legendre expansion of scattering phase function with a finite number of terms on solving radiative transfer equation is studied and an improved algorithm suggested.
提出了一种用于源-目标说话人声门波导数参数转换的、基于勒让德正交分解的声门波导数波形参数提取方法。
For high quality voice transformation, a novel parameter extraction scheme for glottal flow derivative is proposed based on Legendre orthogonal decomposition.
分析了几种经典的滤波器原型设计原理及其自身不足，基于勒让德多项式，给出了一种新的低通滤波器设计原型。
Based on Legendre multinomial, a new kind of low-pass filter prototype is designed out after analyzing the design rule and inefficiency of some classical filter prototypes.
一般多项式都可以展开为正交多项式的级数形式，而勒让德多项式、厄米特多项式和拉盖尔多项式都是典型的正交多项式。
All ordinary polynomials have series expansion of orthogonal polynomials, while Legendre polynomials, Hermite polynomials and Laguerre polynomials are special orthogonal polynomials.
文中运用了一种改进的球谐函数法，即换极法，大大简化了勒让德函数的递推计算，并进行了换极前后被动段扰动引力的仿真计算。
In this paper the improved method, also named transformation of the polar, is used to predigest the iterative calculation, and the simulation calculation has been progressed.
没有一次破发的第二场，一段小插曲让人多少感到不快。在第四局的刚开始，费德勒就遭遇一次面对面的闯进球场球迷的侵扰。
The second set, which did not have a single break of serve, was overshadowed by an incident which saw Federer come face to face with a court invader at the start of the fourth game.
罗伯·哈勒西32岁的妻子麦德兰·哈勒西说，花一周时间集中在丈夫身上让她激动不已。
His wife, Madeline Hulsey, 32, said she was just as thrilled to spend a week focusing on her husband.
一名叫做萨哈·穆哈·默德·哈利勒的战士说：“我们让狙击手投降，他们不肯，所以我们向他们射击。我们射杀了八人，俘虏一人。”
"We asked the snipers to surrender: They didn't, so we shot them. We killed eight and captured one," says fighter Sahah Mohammed Khalil.
一个马德拉—若勒基不会让政策转变，但她的影响力是很大的。
Ms Madlala-Routledge did not shift policy single-handed, but she was influential.
或许导演霍珀和编剧赛德勒曾经考虑让罗格试演一个结巴，表演莎士比亚剧目《亨利四世》第一部中那段如同鹦鹉一般的演讲那样传统的角色？
Might Hooper and Seidler have considered making Logue do the "popinjay" speech by Hotspur from Henry IV Part One - the Shakespeare character traditionally played as a stammerer?
他也为克劳德·勒鲁什、让·吕克·戈达尔、雅克·德米拍摄的新浪潮电影创作过主题曲。
He is the author of several themes for Nouvelle Vague movies made by Claude Lelouch, Jean-Luc Godard or Jacques Demy.
而在1993年，约瑟夫·史蒂格利兹和阿兰·布林德在CEA就职，并且最后被广为引用的大卫·卡特勒和马修·夏皮罗因为在其中担任高级经济师，让平均分达到了736.5。
For 1993, when Joseph Stiglitz and Alan Blinder were members of the CEA, and the senior economists included the eventually much-cited David Cutler and Matthew Shapiro, the average score is 736.5.
联 合国儿童基金会负责儿童保护的高级区域顾问让克劳德.勒格朗说，该组织已经记录了约15件儿童失踪案。
UNICEF Senior Regional Adviser for Child Protection, Jean-Claude Legrand, says the group has documented about 15 disappearances.
所有这一切，“让咖啡带来了更多可能。”斯宾德勒女士说道。
All of this, says Ms Spindler, "changes what is possible for coffee."
瑞德·巴特勒，我不知怎么会让你这种人来看我。
“知道自己最少可以打三场比赛是非常让人愉快的，”费德勒说，“第一轮就遇到世界前十的选手也不必如此紧张。”
"It's nice knowing that you play at least three matches," said Federer. "Playing a Top 10 player in the first round is what gets your heart pumping to be honest."
一名叫做萨哈·穆哈默德·哈利勒的战士说：“我们让狙击手投降，他们不肯，所以我们向他们射击。
We asked the snipers to surrender: They didn't, so we shot them.
又一次，我忍不住又重现了当年费德勒统治网坛的时候的那种感觉：相对其他人来说，他比他们强太多了，这几乎让我对这项运动失去了兴趣。
Still, I can't help feel like I did when Roger Federer was dominating tennis a few years ago: he was so much better than everyone else, it removed all interest from the sport for me.
又一次，我忍不住又重现了当年费德勒统治网坛的时候的那种感觉：相对其他人来说，他比他们强太多了，这几乎让我对这项运动失去了兴趣。
Still, I can't help feel like I did when Roger Federer was dominating tennis a few years ago: he was so much better than everyone else, it removed all interest from the sport for me.
应用推荐