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The basic definition of Boolean quantities has led to the simple rules of addition and multiplication, and has excluded both subtraction and division as valid arithmetic operations.

布尔数量的基本的定义引导了加法和乘法的简单规则，同时排除了减法和除法作为合法的算术运算。

Software reliability is one of the most important quality characteristics. The definition of software assessment is discussed, the mechanism of software failures is described, 2 software reliability assessment methods based on triangular fuzzy number arithmetic operations and trapezoid fuzzy number arithmetic operations respectively are proposed, and some examples to use these methods are given.

软件可靠性是航天型号软件的重要质量特性之一，本文阐述了软件可靠性评估的定义，讨论了软件的失效机理，提出了基于三角形模糊数算术运算和基于梯形模糊数算术运算的软件可靠性评估方法，并给出了使用这些方法的示例。

Given the definition of fundamental operation of arithmetic on connection number a+bi+cj in Set Pair Analysis, researched the property of these operation rules.

摘 要：定义了a+bi+cj型联系数的加法、减法、乘法和除法运算，研究了这些运算的基本规律及其性质，给出了在网络计划等领域的应用实例。

The definition and properties of line segment arithmetic are given,which is a special situation of point set arithmetic,but easily calculated.

文章给出了线段算术的定义和性质，它是点集算术的特殊情况，但更便于计算；提出了线段Bézier曲线的概念，就是把区间Bézier曲线中的长方形换成满足一定条件的线段，这里的线段是指该线段上所有点的集合；给出了线段Bézier曲线的性质及其细分算法。

In 1869 Charles Meray, an apostle of the arithmetization of mathematics, gave a definition of the irrationals.

1869年查尔斯·梅雷作为数学算术化的革新者给出无理数的一个定义。

And planning for artifacts is my definition of design.

而对成品的计划就是我对设计师的定义。

By definition, it precludes 'expediency, artificiality, or shallowness of any kind.

根据定义，它排除了："任何不择手段、造作或肤浅"。

This definition is, of course, valid as far as it goes.

这个定义，当然，只要它是有效的。

This definition is, of course, valid as far it goes.

这个定义，当然，合法的，因为目前为止，去。

The definition is, of course, valid as far as it goes.

到目前为止，这个定义是正确的

In this new architectural plan the Garden of Golgotha came to be at the centre of the new city.

Aelia 是高举他自己，并在此城内朝拜罗马诸神。

The continuous nature of peat accumulation means that terrestrial coaly rocks may provide a higher resolution and more complete record of base-level change than the time-equivalent shallow-marine strata, thus enabling the identification of highfrequency cycles that are not recorded in themarine strata.

泥炭积累的持续性质的手段，陆地coaly岩石可提供较高的分辨率和更完整的记录基准面变化的影响时，相当于浅海阶层，从而使确定的高频周期，不记录在themarine 阶层。