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In this thesis, by employing generating function technique, some new combinatorial identities have been established. Furthermore, the integral values of some kinds of series involving generalized Fibonacci and Lucas numbers at rational numbers are given and the values of some polynomials at rational points have been studied as well.

本文利用发生函数理论建立了一系列新的组合恒等式，并且利用发生函数方法讨论了一些级数的取整值问题以及某些多项式在有理点的取值问题。

Questions in this content area are based on basic operations using whole numbers, decimals, fractions, and integers; place value; square roots and approximations; the concept of exponents; scientific notation; factors; ratio, proportion, and percent; linear equations in one variable; absolute value and ordering numbers by value; elementary counting techniques and simple probability; data collection, representation, and interpretation; and understanding simple descriptive statistics.

这方面的考试内容包括实数、小数、分数和整数的基本运算；位值；平方根和近似值；指数的概念；科学记数法；项；比率，比例以及百分比；只有一个未知数的线性方程；绝对值和数值的排列；初级的计数技巧和简单的概率；数据的收集、整理与说明；并理解简单的描述性统计数据。

Questions in this content area are based on basic operations using whole numbers, decimals, fractions, and integers; place value; square roots and approximations; the concept of exponents; scientific notation; factors; ratio, proportion, and percent; linear equations in one variable; absolute value and ordering numbers by value; elementary counting techniques and simple probability; data collection, representation, and interpretation; and understanding simple descriptive statistics.

算术（23%）运用所有的数字、小数、分数、整数；数位值、平方根、近似值；指数的概念；科学计算；因数；比率；比例；百分比；一次方程式；绝对值；基本计算方法和简单概率；数据搜集，演示，推理及简单统计分析的理解。

Questions in this contentarea are based on basic operations using whole numbers, decimals,fractions, and integers; place value; square roots andapproximations; the concept of exponents; scientific notation;factors; ratio, proportion, and percent; linear equations in onevariable; absolute value and ordering numbers by value; elementarycounting techniques and simple probability; data collection,representation, and interpretation; and understanding simpledescriptive statistics.

算术（23%）运用所有的数字、小数、分数、整数；数位值、平方根、近似值；指数的概念；科学计算；因数；比率；比例；百分比；一次方程式；绝对值；基本计算方法和简单概率；数据搜集，演示，推理及简单统计分析的理解。

To do this, you need to model the phone numbers in their own class and have a way of associating many phone numbers to a single Contact.

为此， 你需要把电话号码单独放在一个类里面，并且想办法把多个电话号码与一个联系人关联起来。

Two years ago a study of another amazonian tribe , the piraha , reported that the ability of tribal adults to conceptualise numbers is no better than that of infants or even some animals . the research suggested that without words for specific numbers , a number sense cannot develop

法国和美国的研究人员在最新一期的科学杂志上发表文章称，在亚马孙河丛林深处有一个部落群，即便他们没有用来表达几何学概念的语言也极具几何学天赋。

We investigate this kind of numbers in Chapter 4 and give the following results:(1) By generating functions theory, we have established a number of identities involving the powers of generalized Fibonacci and Lucas numbers. From these identities, we can obtain some new congruences.

第四章：利用发生函数理论以及一些运算技巧，讨论与广义Fi-bonacci，Lucas数有关的问题：(1)利用发生函数原理，建立了一系列涉及广义Fibonacci，Lucas数的幂的恒等式，并由这些恒等式得到了新的同余关系。

Numerologists use the numbers 1 to 9, 11 and 22- also known as the "master" numbers - to help a person understand his or her personality, life goals, and destiny.

命理学家用1至9、11和22之间的数作为主要数字，帮人们测定其个性、生活目标和命运。

Their leucocyte and haematoblast numbers before and after the intervention were o erved, and the succe ful cases were counted. Results: The numbers of leucocyte and haematoblast in patients after the therapeutics both rose.

观察术前进行肝脾双介入治疗的原发性肝癌伴脾亢患者24例在介入前后白细胞、血小板计数改变情况及介入后成功进行手术治疗的例数。

This method can effectively reduce the numbers of artificial dams and local minima.The algorithm has been implemented in five different terrains,showing that the method can effectively reduce the numbers of the local minima.So,it is more realistic for generating terrains model with higher order Delaunay triangulations.

实验结果表明，高阶Delaunay三角网能够有效地减少地形中局部极小的数量，因此，采用高阶Delaunay三角网建立的地形模型更接近于实际地形。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。