| 单词 | 表达式 |
| 释义 | 〔cubic〕A cubic expression, curve, or equation.三次表达式，三次曲线，三次方程〔numerator〕An expression to be divided by another; a dividend.被除数：被另一个数除的表达式；被除数〔multiplication〕Any of certain analogous operations involving expressions other than real numbers.涉及除了实数以外的表达式的任何相似的运算〔bracket〕One of a pair of marks, [ ], used to enclose written or printed material or to indicate a mathematical expression considered in some sense a single quantity. Also called square bracket 方括弧，中括号：符号之一，用于托住一手写或印刷或标明被视作单一数量单位的数字表达式 也作 square bracket〔parenthesis〕Either or both of the upright curved lines, ( or ), used to mark off explanatory or qualifying remarks in writing or printing or enclose a sum, product, or other expression considered or treated as a collective entity in a mathematical operation.圆括号，圆括弧：两个直立曲线或其中之一，（或），用于标出解释文字及书写或打印中的限定语或包含一个和、积或其它在数学运算中作为或被当作是一个集体的性质的表达式〔polynomial〕An expression of two or more terms.多项式：含两个或更多项的一个表达式〔discriminant〕An expression used to distinguish or separate other expressions in a quantity or an equation.判别式：在一个量或方程式中，用于区分或区别其他表达式的表达式〔numerator〕The expression written above the line in a common fraction to indicate the number of parts of the whole.分子：写在分数的分数线上的表达式，表示占整体中的比例〔equal〕It has been argued thatequal is an absolute term— two quantities either are or are not equal—and hence cannot be qualified as to degree.Therefore one cannot logically speak ofa more equal allocation of resources among the departments. However, this usage was accepted by 71 percent of the Usage Panel in an earlier survey.What is more, objection to the usage betrays a widespread but questionable assumptionthat it is in mathematics and logic that we find the model of accuracy most appropriate to the everyday use of language,a supposition that also underlies traditional grammatical discussions of words such asunique, parallel, and center. According to this account,the "precise" or "literal" meaning ofequal is realized in the use of the equal sign in an arithmetic expression such as 5 + 2 = 7; and the ordinary-language uses of the term,though they may be permissible,represent "loose" or "imprecise" extensions of that sense.But in fact the mathematical concept of equality is a poor model for using the wordequal to describe relations between things in the world. As applied to such things,statements of equality are always relative to an implicit standard of tolerance.When someone saysThe two boards are of equal length, we assume that the equality is reckoned to some order of approximation determined by the context;if we did not,we would be required always to usenearly equal when speaking of the dimensions of physical objects. What is more,we often want to predicate equality of things that do not admit of quantitative measurement,as when we sayThe college draft was introduced in an effort to make the teams in the National Football League as equal as possible, orThe candidates for the job should all be given equal consideration. In all such cases,equality is naturally a gradient notionand so is amenable to modification in degree.This much is evident from the existence of the wordunequal. The prefixun- attaches only to gradient adjectives: we sayunmanly but not unmale; and the worduneven can be applied to a surface (whose evenness may be a matter of degree) but not to a number (whose evenness is an either-or affair). ·The adverbequally is generally regarded as redundant when used in combination with as, and the following examples employingequally as were termed unacceptable by 63 percent of the Usage Panel in an earlier survey: 单词equal 一向被认为是一个很绝对的词语—— 两个数量要么相同要么不同——这样就不能有程度上的差别。所以，如果有人说在各部门间对资源更公平的分配 ，那么就不合逻辑了。 但是这种用法在早先的用法调查中被百分之七十一用法使用小组的人接受。而且，对这种用法的反对体现出了一种很流行但却值得怀疑的假设，那就是我们从数学和逻辑中得出适用于日常语言准确性的实例，而这种假设也可从我们对一些词，如unique，parallel 和 center 传统的语法讨论中体现出来。 根据这个解释，equal “准确”或“书面”的意思则是由在算术表达式，如5+2=7中所运用的相同的符号而表达清楚的； 而该词在日常语言中的用法，虽然被允许，但却代表了其含意“松散”或“不严谨”的引申。但是实际上用数学概念上的相等来运用equal 这个词描述世上各种事物之间的关系是一个很差劲的例子。 当该词应用于生活中的事物时，相等的观念往往与暗含的容忍相关联。当有人说两块木板同样长 时， 我们会认为由于上下文的关系，相等可以被看作大约近似；如果我们不这样想，那么当我们谈到物体的尺寸时，就要经常使用nearly equal 。 另外，我们常常会预测和数量无关的事物的相同性，比如我们会说，引入大学的要求是为了使全国足球联合会中的各队尽可能平等 ， 或者应给予该项工作的应征者同等的考虑 。 在所有这些例子中，相等是个可变化的概念，所以可在程度有所不同。Unequal 这个词的存在就是很好的证明。 un- 这个前缀只附加于有程序变化的形容词， 我们说unmanly 但不说 unmale ； 而uneven 这个词只能用于某物的表面（其平坦可有程度上的差别）， 而不能用于数目（数目只能说相等或不相等）。Equally 这一副词在与 as 连用时通常被认为是多余的， 在早先的用法调查中，以下这些使用equally as 的句子遭到百分之六十三使用小组的人反对： 〔recursion〕An expression, such as a polynomial, each term of which is determined by application of a formula to preceding terms.递推：多项式等一种表达式，每一项由前一项使用的公式来决定〔algebraic〕Designating an expression, an equation, or a function in which only numbers, letters, and arithmetic operations are contained or used.代数学的：指定一个表达式、等式或函数，其中只包括或只运用数字、字母或数学运算的〔transformation〕Replacement of the variables in an algebraic expression by their values in terms of another set of variables.变换：以另一套变量置换为一个代数表达式中变量的值〔reduction〕The converting of an expression or equation to its simplest form.简化方程式：把表达式或方程式化至最简的形式 |
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