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许多算术问题是用试位法解的。Many of the arithmetical problems were solved by false position.

另一方面，女性在算术运算上稍好于男性。On the other hand, women are slightly better at arithmetical calculations.

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研究一个包含数论函数的方程的可解性。The solvability of an equation involving the arithmetical function is studied.

目的定义一个新的算术函数，并研究它的值分布性质。Aim To define a new arithmetical function and study its value distribution properties.

每一个组件都是一种算数指令，诸如加、减、乘、余弦、正弦。Each module was an arithmetical command such as add, subtract, multiply, cosine, sine.

结论发展了经典的算术函数的相关研究工作。Conclusion The relevant research work of classical arithmetical function was developed.

算术符号是书写出来的图形，而几何图形是绘画出来的公式。Arithmetical symbols are written diagrams and geometrical figures are graphical formulas.

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本文研究了一些算术函数的均值估计问题，获得了一些均值定理。In this dissertation, we study the mean value problem of some important arithmetical function.

并将加权平均作为模糊综合评判运算模型。In this investigation, the method of weighted average was used as an arithmetical model of FSJ.

给出了数阵的加法、数乘和乘法定义，并给出高阶等差数阵和周期数阵的运算性质。And discuss the properties of high order arithmetical infinite matrix and periodic infinite matrix.

所谓的“自然”算术运算以损失连续性的代价保持了交换律。The so-called " natural " arithmetical operations retain commutativity at the expense of continuity.

“率”是中算的基本概念之一，率的比较说明了中国古代算术的基础。As one of the fundamental conceptions in ancient Chinese mathematics, Lü explains the arithmetical basis.

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人口，如果不加抑制，就会以几何级数增长。而生存给养是以算术级数增长的。Population, when unchecked, increases in a geometric ratio. Subsistence increases in an arithmetical ratio.

宇宙中任何其他地方的有智力的人都能理解一个简单的数学序列。Intelligent creatures in any part of the universe would be able to understand a simple arithmetical sequence.

在美国，数学计算的平均收入趋势和家庭收入中位数的趋势截然不同，原因是多种多样的。Trends in arithmetical average incomes and median household incomes have differed in the US for a variety of reasons.

并以算术杂交算子选择两个父代配对，均匀变异产生子代。And then, mate of two father generation chromosomes were selected by arithmetical crossover to generate sub-generation.

通过具体算例，将非线性最小二乘法和遗传算法的结果，分别进行了比较。The result of non-linear least square method is compared with that of the genetic arithmetical method in the concrete examples.

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复杂的观念来自这些简单的观念，通过模拟算术运算的统一的和对称的组合。Complex ideas proceed from these simple ideas by a uniform and symmetrical combination, analogous to arithmetical multiplication.

男性在例如判断线方向和可视物体空间感等方面比女性也表现出一定的优势，但这些差异并不大。On the other hand, women are slightly better at arithmetical calculations. Where there is a big gap is at the extremes of ability.

大量的数论问题都跟素数相关，它们中的大部分仍然悬而未解，有些甚至过了几个世纪依然无法攻克。Numerous arithmetical problems concern prime numbers and most of them still remain unresolved, sometimes even after several centuries.