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数学各种专业的英语词汇翻译。

数学各种专业的英语词汇翻译。
数学各种专业的英语词汇翻译。

1. 有关数*算add,plus 加

subtract 减

difference 差

multiply, times 乘

product 积

divide 除

divisible 可被整除的

divided evenly 被整除

dividend 被除数,红利

divisor 因子,除数

quotient 商

remainder 余数

factorial 阶乘

power 乘方

radical sign, root sign 根号 round to 四舍五入

to the nearest 四舍五入

2. 有关集合

union 并集

proper subset 真子集

solution set 解集

3. 有关代数式、方程和不等式

algebraic term 代数项

like terms, similar terms 同类项 numerical coefficient 数字系数 literal coefficient 字母系数 inequality 不等式

triangle inequality 三角不等式 range 值域

original equation 原方程 equivalent equation 同解方程,等价方程

linear equation 线性方程(e.g. 5 x +6=22)

4. 有关分数和小数proper fraction 真分数

improper fraction 假分数

mixed number 带分数

vulgar fraction,common fraction 普通分数

simple fraction 简分数

complex fraction 繁分数 numerator 分子

denominator 分母

(least) common denominator (最小)公分母

quarter 四分之一

decimal fraction 纯小数

infinite decimal 无穷小数recurring decimal 循环小数 tenths unit 十分位

5. 基本数学概念

arithmetic mean 算术平均值 weighted average 加权平均值 geometric mean 几何平均数 exponent 指数,幂

base 乘幂的底数,底边

cube 立方数,立方体

square root 平方根

cube root 立方根

common logarithm 常用对数 digit 数字

constant 常数

variable 变量

inverse function 反函数 complementary function 余函数 linear 一次的,线性的 factorization 因式分解

absolute value 绝对值,e.g.|-32|=32

round off 四舍五入

6. 有关数论

natural number 自然数

positive number 正数

negative number 负数

odd integer, odd number 奇数 even integer, even number 偶数 integer, whole number 整数 positive whole number 正整数 negative whole number 负整数 consecutive number 连续整数 real number, rational number 实数,有理数

irrational(number)无理数 inverse 倒数

composite number 合数 e.g. 4,6,8,9,10,12,14,15……

prime number 质数 e.g. 2,3,5,7,11,13,15……注意:所有的质数(2除外)都是奇数,但奇数不一定是质数reciprocal 倒数 common divisor 公约数

multiple 倍数

(least)common multiple (最小)公倍数

(prime) factor (质)因子 common factor 公因子 ordinary scale, decimal scale 十进制

nonnegative 非负的

tens 十位

units 个位

mode 众数

median 中数

common ratio 公比

7. 数列

arithmetic progression(sequence) 等差数列

geometric progression(sequence) 等比数列

8. 其它 approximate 近似

(anti)clockwise (逆) 顺时针方向 cardinal 基数

ordinal 序数

direct proportion 正比

distinct 不同的

estimation 估计,近似 parentheses 括号

proportion 比例

permutation 排列 combination 组合

table 表格

trigonometric function 三角函数 unit 单位,位

几何部分

1. 所有的角

alternate angle 内错角 corresponding angle 同位角 vertical angle 对顶角

central angle 圆心角

interior angle 内角

exterior angle 外角 supplementary angles 补角 complementary angle 余角 adjacent angle 邻角

acute angle 锐角

obtuse angle 钝角

right angle 直角

round angle 周角

straight angle 平角

included angle 夹角

2. 所有的三角形

equilateral triangle 等边三角形 scalene triangle 不等边三角形 isosceles triangle 等腰三角形 right triangle 直角三角形 oblique 斜三角形

inscribed triangle 内接三角形

3. 有关收敛的平面图形,除三角形外

semicircle 半圆

concentric circles 同心圆 quadrilateral 四边形

pentagon 五边形

hexagon 六边形

heptagon 七边形

octagon 八边形

nonagon 九边形

decagon 十边形

polygon 多边形

parallelogram 平行四边形 equilateral 等边形

plane 平面

square 正方形,平方

rectangle 长方形

regular polygon 正多边形 rhombus 菱形

trapezoid 梯形

4. 其它平面图形

arc 弧

line, straight line 直线

line segment 线段

parallel lines 平行线

segment of a circle 弧形

5. 有关立体图形

cube 立方体,立方数 rectangular solid 长方体

regular solid/regular polyhedron 正多面体

circular cylinder 圆柱体

cone 圆锥

sphere 球体

solid 立体的

6. 有关图形上的附属物

altitude 高 depth 深度

side 边长

circumference, perimeter 周长 radian 弧度

surface area 表面积

volume 体积

arm 直角三角形的股

cross section 横截面

center of a circle 圆心

chord 弦

radius 半径

angle bisector 角平分线 diagonal 对角线

diameter 直径

edge 棱

face of a solid 立体的面 hypotenuse 斜边

included side 夹边

leg 三角形的直角边

median of a triangle 三角形的中线

base 底边,底数(e.g. 2的5次方,2就是底数)

opposite 直角三角形中的对边 midpoint 中点

endpoint 端点

vertex (复数形式vertices)顶点 tangent 切线的

transversal 截线

intercept 截距

7. 有关坐标

coordinate system 坐标系 rectangular coordinate 直角坐标系

origin 原点

abscissa 横坐标

ordinate 纵坐标

number line 数轴

quadrant 象限

slope 斜率

complex plane 复平面

8. 其它

plane geometry 平面几何 trigonometry 三角学

bisect 平分

circumscribe 外切

inscribe 内切

intersect 相交

perpendicular 垂直 pythagorean theorem 勾股定理 congruent 全等的

multilateral 多边的

其它

1. 单位类

cent 美分

penny 一美分硬币

nickel 5美分硬币

dime 一角硬币

dozen 打(12个)

score 廿(20个)

Centigrade 摄氏

Fahrenheit 华氏

quart 夸脱

gallon 加仑(1 gallon = 4 quart) yard 码

meter 米

micron 微米

inch 英寸

foot 英尺

minute 分(角度的度量单位,60分=1度)

square measure 平方单位制 cubic meter 立方米

pint 品脱(干量或液量的单位) 2. 有关文字叙述题,主要是有关商业intercalary year(leap year) 闰年(366天)

common year 平年(365天) depreciation 折旧 down payment 直接付款 discount 打折

margin 利润

profit 利润

interest 利息

simple interest 单利 compounded interest 复利 dividend 红利

decrease to 减少到 decrease by 减少了 increase to 增加到 increase by 增加了

denote 表示

list price 标价

markup 涨价

per capita 每人

ratio 比率

retail price 零售价

tie 打

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.' Lexicology the is into linguistics, inquiring a branch of origins and meanings of words. Morphology different their and the : study of morpheme forms. Semantics the study of word meaning. :Etymology: the study of the origin of words, and of their history and changes in their meaning. Stylistics : the study of the variation in language which is dependent on the situation in which the language is used and also on the effect the writer or speaker wishes to create on the reader or hearer Lexicography : the compiling of dictionaries. Synchronic study one or words at a : the study of word particular point in time. Diachronic study studies which to : an approach lexicology how a word (or words) changes over a period of time.

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2.4 整数、有理数与实数 4-A Integers and rational numbers There exist certain subsets of R which are distinguished because they have special properties not shared by all real numbers. In this section we shall discuss such subsets, the integers and the rational numbers. 有一些R 的子集很著名,因为他们具有实数所不具备的特殊性质。在本节我们将讨论这样的子集,整数集和有理数集。 To introduce the positive integers we begin with the number 1, whose existence is guaranteed by Axiom 4. The number 1+1 is denoted by 2, the number 2+1 by 3, and so on. The numbers 1,2,3,…, obtained in this way by repeated addition of 1 are all positive, and they are called the positive integers. 我们从数字 1 开始介绍正整数,公理 4 保证了 1 的存在性。1+1 用2 表示,2+1 用3 表示,以此类推,由 1 重复累加的方式得到的数字 1,2,3,…都是正的,它们被叫做正整数。 Strictly speaking, this description of the positive integers is not entirely complete because we have not explained in detail what we mean by the expressions “and so on”, or “repeated addition of 1”. 严格地说,这种关于正整数的描述是不完整的,因为我们没有详细解释“等等”或者“1的重复累加”的含义。 Although the intuitive meaning of expressions may seem clear, in careful treatment of the real-number system it is necessary to give a more precise definition of the positive integers. There are many ways to do this. One convenient method is to introduce first the notion of an inductive set. 虽然这些说法的直观意思似乎是清楚的,但是在认真处理实数系统时必须给出一个更准确的关于正整数的定义。有很多种方式来给出这个定义,一个简便的方法是先引进归纳集的概念。 DEFINITION OF AN INDUCTIVE SET. A set of real number s is cal led an i n ductiv e set if it has the following two properties: (a) The number 1 is in the set. (b) For every x in the set, the number x+1 is also in the set. For example, R is an inductive set. So is the set . Now we shall define the positive integers to be those real numbers which belong to every inductive set. 现在我们来定义正整数,就是属于每一个归纳集的实数。 Let P d enote t he s et o f a ll p ositive i ntegers. T hen P i s i tself a n i nductive set b ecause (a) i t contains 1, a nd (b) i t c ontains x+1 w henever i t c ontains x. Since the m embers o f P b elong t o e very inductive s et, w e r efer t o P a s t he s mallest i nductive set. 用 P 表示所有正整数的集合。那么 P 本身是一个归纳集,因为其中含 1,满足(a);只要包含x 就包含x+1, 满足(b)。由于 P 中的元素属于每一个归纳集,因此 P 是最小的归纳集。 This property of P forms the logical basis for a type of reasoning that mathematicians call proof by induction, a detailed discussion of which is given in Part 4 of this introduction.

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