各种数学名词的英语翻译
数学mathematics, maths(BrE), math(AmE)
公理axiom
定理theorem
计算calculation
运算operation
证明prove
假设hypothesis, hypotheses(pl.)
命题proposition
算术arithmetic
加plus(prep.), add(v.), addition(n.)
被加数augend, summand
加数addend
和sum
减minus(prep.), subtract(v.), subtraction(n.)
被减数minuend
减数subtrahend
差remainder
乘times(prep.), multiply(v.), multiplication(n.)
被乘数multiplicand, faciend
乘数multiplicator
积product
除divided by(prep.), divide(v.), division(n.)
被除数dividend
除数divisor
商quotient
等于equals, is equal to, is equivalent to
大于is greater than
小于is lesser than
大于等于is equal or greater than
小于等于is equal or lesser than
运算符operator
平均数mean
算术平均数arithmatic mean
几何平均数geometric mean n个数之积的n次方根倒数（reciprocal）x的倒数为1/x
有理数rational number
无理数irrational number
实数real number
虚数imaginary number
数字digit
数number
自然数natural number
整数integer
小数decimal
小数点decimal point
分数fraction
分子numerator
分母denominator
比ratio
正positive
负negative
零null, zero, nought, nil
十进制decimal system
二进制binary system
十六进制hexadecimal system
权weight, significance
进位carry
截尾truncation
四舍五入round
下舍入round down
上舍入round up
有效数字significant digit
无效数字insignificant digit
代数algebra
公式formula, formulae(pl.)
单项式monomial
多项式polynomial, multinomial
系数coefficient
未知数unknown, x-factor, y-factor, z-factor 等式，方程式equation
一次方程simple equation
二次方程quadratic equation
三次方程cubic equation
四次方程quartic equation
不等式inequation
阶乘factorial
对数logarithm
指数，幂exponent
乘方power
二次方，平方square
三次方，立方cube
四次方the power of four, the fourth power n次方the power of n, the nth power
开方evolution, extraction
二次方根，平方根square root
三次方根，立方根cube root
四次方根the root of four, the fourth root n次方根the root of n, the nth root
sqrt(2)=1.414
sqrt(3)=1.732
sqrt(5)=2.236
常量constant
变量variable
坐标系coordinates
坐标轴x-axis, y-axis, z-axis
横坐标x-coordinate
纵坐标y-coordinate
原点origin
象限quadrant
截距(有正负之分)intercede
（方程的）解solution
几何geometry
点point
线line
面plane
体solid
线段segment
射线radial
平行parallel
相交intersect
角angle
角度degree
弧度radian
锐角acute angle
直角right angle
钝角obtuse angle
平角straight angle
周角perigon
底base
边side
高height
三角形triangle
锐角三角形acute triangle
直角三角形right triangle
直角边leg
斜边hypotenuse
勾股定理Pythagorean theorem 钝角三角形obtuse triangle
不等边三角形scalene triangle 等腰三角形isosceles triangle 等边三角形equilateral triangle 四边形quadrilateral
平行四边形parallelogram
矩形rectangle
长length
宽width
周长perimeter
面积area
相似similar
全等congruent
三角trigonometry
正弦sine
余弦cosine
正切tangent
余切cotangent
正割secant
余割cosecant
反正弦arc sine
反余弦arc cosine
反正切arc tangent
反余切arc cotangent
反正割arc secant
反余割arc cosecant
补充：
集合aggregate
元素element
空集void
子集subset
交集intersection
并集union
补集complement
映射mapping
函数function
定义域domain, field of definition 值域range
单调性monotonicity
奇偶性parity
周期性periodicity
图象image
数列，级数series
微积分calculus
微分differential
导数derivative
极限limit
无穷大infinite(a.) infinity(n.)
无穷小infinitesimal
积分integral
定积分definite integral
不定积分indefinite integral
复数complex number
矩阵matrix
行列式determinant
圆circle
圆心centre(BrE), center(AmE) 半径radius
直径diameter
圆周率pi
弧arc
半圆semicircle
扇形sector
环ring
椭圆ellipse
圆周circumference
轨迹locus, loca(pl.)
平行六面体parallelepiped
立方体cube
七面体heptahedron
八面体octahedron
九面体enneahedron
十面体decahedron
十一面体hendecahedron
十二面体dodecahedron
二十面体icosahedron
多面体polyhedron
旋转rotation
轴axis
球sphere
半球hemisphere
底面undersurface
表面积surface area
体积volume
空间space
双曲线hyperbola
抛物线parabola
四面体tetrahedron
五面体pentahedron
六面体hexahedron菱形rhomb, rhombus, rhombi(pl.), diamond 正方形square
梯形trapezoid
直角梯形right trapezoid
等腰梯形isosceles trapezoid
五边形pentagon
六边形hexagon
七边形heptagon
八边形octagon
九边形enneagon
十边形decagon
十一边形hendecagon
十二边形dodecagon
多边形polygon
正多边形equilateral polygon
相位phase
周期period
振幅amplitude
内心incentre(BrE), incenter(AmE)
外心excentre(BrE), excenter(AmE)
旁心escentre(BrE), escenter(AmE)
垂心orthocentre(BrE), orthocenter(AmE)
重心barycentre(BrE), barycenter(AmE)
内切圆inscribed circle
外切圆circumcircle
统计statistics
平均数average
加权平均数weighted average
方差variance
标准差root-mean-square deviation, standard deviation 比例propotion
百分比percent
百分点percentage
百分位数percentile
排列permutation
组合combination
概率，或然率probability
分布distribution
正态分布normal distribution
非正态分布abnormal distribution
图表graph
条形统计图bar graph
柱形统计图histogram
折线统计图broken line graph
曲线统计图curve diagram
扇形统计图pie diagram
abscissa 横坐标
absolute value 绝对值
acute angle 锐角
adjacent angle 邻角
addition 加
algebra 代数
altitude 高
angle bisector 角平分线
arc 弧
area 面积
arithmetic mean 算术平均值（总和除以总数）
arithmetic progression 等差数列（等差级数）
arm 直角三角形的股
at 总计（乘法）
average 平均值
base 底
be contained in 位于...上
bisect 平分
center 圆心
chord 弦
circle 圆形
circumference 圆周长
circumscribe 外切，外接
clockwise 顺时针方向
closest approximation 最相近似的
combination 组合
common divisor 公约数，公因子
common factor 公因子
complementary angles 余角（二角和为90度）
composite number 合数（可被除1及本身以外其它的数整除）concentric circle 同心圆
cone 圆锥（体积＝1/3*pi*r*r*h）
congruent 全等的
consecutive integer 连续的整数
coordinate 坐标的
cost 成本
counterclockwise 逆时针方向
cube 1.立方数
2.立方体（体积＝a*a*a 表面积＝6*a*a）
cylinder 圆柱体
decagon 十边形
decimal 小数
decimal point 小数点
decreased 减少
decrease to 减少到
decrease by 减少了
degree 角度
define 1.定义2.化简
denominator 分母
denote 代表，表示
depreciation 折旧
distance 距离
distinct 不同的
dividend 1. 被除数2.红利
divided evenly 被除数
divisible 可整除的
division 1.除2.部分
divisor 除数
down payment 预付款，定金
equation 方程
equilateral triangle 等边三角形
even number 偶数
expression 表达
exterior angle 外角
face （立体图形的）某一面
factor 因子
fraction 1.分数2.比例
geometric mean 几何平均值（N个数的乘积再开N次方）geometric progression 等比数列（等比级数）
have left 剩余
height 高
hexagon 六边形
hypotenuse 斜边
improper fraction 假分数
increase 增加
increase by 增加了
increase to 增加到
inscribe 内切，内接
intercept 截距
integer 整数
interest rate 利率
in terms of... 用...表达
interior angle 内角
intersect 相交
irrational 无理数
isosceles triangle 等腰三角形
least common multiple 最小公倍数
least possible value 最小可能的值
leg 直角三角形的股
length 长
list price 标价
margin 利润
mark up 涨价
mark down 降价
maximum 最大值
median, medium 中数（把数字按大小排列，若为奇数项，则中间那项就为中数，若为偶数项，则中间两项的算术平均值为中数。例：(1，3，8)其中数为3；(1，3，8，9)其中数为(3+8)/2=5）
median of a triangle 三角形的中线
mid point 中点
minimum 最小值
minus 减
multiplication 乘法
multiple 倍数
multiply 乘
natural number 自然数
negative number 负数
nonzero 非零
number lines 数线
numerator 分子
obtuse angle 钝角
octagon 八边形
odd number 奇数
ordinate 纵坐标
overlap 重叠
parallel lines 平行线
parallelogram 平行四边形
pentagon 五边形
per capita 每人
perimeter 周长
permutation 排列
perpendicular lines 垂直线
pyramid 三角锥
plane 平面
plus 加
polygon 多边形
positive number 正数
power 次方（2的5次方＝the fifth power of 2）prime factor 质因子
prime number 质数
product 乘积
profit 利润
proper fraction 真分数
proportion 比例
purchasing price 买价
quadrant 象限
quadrihedrogon 四角锥
quadrilateral 四边形
quotient 商
ratio 比例
rational 有理数
radius 半径（复数为radii）
radian 弧度
real number 实数
reciprocal 倒数
rectangle 长方形
rectangular prism 长方体
reduced 减少
regular polygon 正多边形
remainder 余数
retail value 零售价
rhombus 菱形
right angle 直角
right triangle 直角三角形
round 四舍五入
sale price 卖价
segment 线段
set 集合
sequence 数列
scalene triangle 不等边三角形
side 边长
simple interest 单利
slope 斜率
solution （方程的）解
speed 过度
sphere 球体（表面积＝4*pi*r*r,体积＝4/3*pi*r*r*r）square 1.平方数，平方2.正方形
square root 平方根
straight angle 平角
subtract 减
subtraction 减法
sum 和
surface area 表面积
supplementary angles 补角
tangent 相切
tenths' digit 十分位
tenth 十分位
tie 并列，打平
times 倍
total 1.总数（用于加法中，相当于＋）
2.总计（用于减法中，相当于－）
to the nearest 最接近的
trapezoid 梯形
triangle 三角形
two digits 2位
units' digit 个位
veiocity 速度
vertex angle 顶角
vertical angle 对顶角
volume 体积
whole number 整数
width 宽
3-digit number 三位数
注：1. a only if b 表示a==>b 2. a if only b 表示b==>a
各种数学名词的英语翻译 数学mathematics, maths(BrE), math(AmE) 公理axiom 定理theorem 计算calculation 运算operation 证明prove 假设hypothesis, hypotheses(pl.) 命题proposition 算术arithmetic 加plus(prep.), add(v.), addition(n.) 被加数augend, summand 加数addend 和sum 减minus(prep.), subtract(v.), subtraction(n.) 被减数minuend 减数subtrahend 差remainder 乘times(prep.), multiply(v.), multiplication(n.) 被乘数multiplicand, faciend 乘数multiplicator 积product 除divided by(prep.), divide(v.), division(n.) 被除数dividend 除数divisor 商quotient 等于equals, is equal to, is equivalent to 大于is greater than 小于is lesser than 大于等于is equal or greater than 小于等于is equal or lesser than 运算符operator 平均数mean 算术平均数arithmatic mean 几何平均数geometric mean n个数之积的n次方根倒数（reciprocal）x的倒数为1/x 有理数rational number 无理数irrational number
英语翻译重点词汇词组 fellow countrymen 同胞 militarist军阀 Chinese Communist Party 党组织 the Grand Canal （京杭）大运河Industrial Revolution 工业革命dawn to dark从早到晚 especially English 具有英国特征的cottage industry 农村手工业 Indian summer 最后的余辉 stock-raising 畜牧业 Homestead Act 宅地法 wild west 西部荒原 the gold rush 淘金热 basic occupation 基础产业Department of Agriculture 农业部门the Nile Delta 尼罗河三角洲 coastal erosion 水土流失Mediterranean climate 地中海型气候surveyor general 测量总监sovereign nation 主权国家aggregate output 总产量 coastal area 沿海地区 telephone connections 电话用户economic well-being 生活水平 two way trade 双向贸易 lucrative export market 出口市场
foreign exchange 外汇 sum total 总数 per capita 人均 GNP 国民生产总值 joint ventures 合资企业 net income 净收入 world investment system世界投资体系 the stock of foreign investment 外资存量 英语翻译重点词汇（２） major economy 经济大国 the stimulus, the technology and the funding 动力、技术和资金international trade and investment 国际贸易和投资 popular science 科普读物Arctic seas 北冰洋 vegetable oil 植物油 mineral oil煤油 internal combustion engine内燃机 warfare on land and sea 陆战和海战 minute sea creatures and plants 微小的海洋动植物 crude oil 原油 sedimentary rocks 沉积岩 pitch lake 沥青湖 superhighway 高速公路 living organism 生物体 applied entomology 应用昆虫学 environmental Law环保法 wildlife 野生生物
數學名詞翻譯 1.arithmetic science of numbers 2.notation writing numbers 3.numeration reading numbers 4.Arabic numeration 0 1 2 3 4 5 6 7 8 9 5.addition（加法）：75+23+16=114 75.23.16（addend）114（sum）+（plus） 6.subtraction（減法）：15-8=7 15（minuend）8（subtrahend）7（difference）-（） 7.multiplication（乘法）multiplying：58×27=406+1160=1566 58.27（factor）406.1160（partial product）1566（product）×（times cross） 8.division（除法）dividing：352784÷437=807…125 352784（dividend）437（divisor）807 （quotient 商）125（remainder 餘）check（驗算）estimate （估商） 9.rounding number（概數）：if determining digit is 5 or more round up，if determining digit is less then 5，round down to nearest digit。 https://www.doczj.com/doc/0018889879.html,mas ones tens hundreds（units）one thousands ten thousands hundred thousands （thousands）one millions ten millions hundred millions （millions）one billions ten billions hundred billions（billions） 11.linear measures ：kilometer hectometer decameter meter decimeter centimeter millimeter 公（里引丈尺寸分釐） 12.measure of capacity：kiloliter hectoliter deciliter liter deciliter centiliter milliliter 公（秉石斗升合勺撮） 13.measure of time：1000years=millennium 100years=century 20years=score 10yaers=decade 12months=1year 366days=1 leap year 365days=1year =about 52weeks 7days=1week 24hours=1day 60minutes=1hour 60seconds=1minutes 14.measure of weight：kilogram hectogram decagram gram decigram centigram milligram 公（噸擔衡斤兩錢克） 15.converting measure（轉換單位）：multiply or divide by conversion rules and conversion factors 16.converting metric measure（公制單位）：mutiply or divide by 10，convert from larger to smaller each step taken to the right 17.divisibility rules： a number is divisible by 2，if it is an even number 3，if sum of the digits is divisible by 3 4，if last two digits are divisible by 4 5，if it ends in 0 or 5 6，if it is even and divisible by 3 9，if sum of the digits is divisible by 9 18.Pairs of factors（因素分解）：factors means all the numbers that will divide without a remainder into a number 19.greateat common factor（gcf最大公因數）：common factor is a factor that is shared by two or more
广告英语翻译常用词汇 产品远销英国、美国、日本、意大利和东南亚，深受消费者欢迎和好评Our products are sold in Britain, America, Japan, Italy and South East Asia and well appreciated by their purchasers. 畅销全球 selling well all over the world 典雅大方 elegant and graceful 定型耐久 durable modeling 方便顾客 making things convenient for customers 方便群众 making things convenient for the people; to suit the peo ple's convenience 方便商品 convenience goods 方便生活 bringing more convenience to the people in their daily life; prov iding amenities for the people; making life easier for the popula tion 各式俱全 wide selection; large assortment
顾客第一 Customers first 顾客是我们的皇帝 We take customers as our Gods. 规格齐全 a complete range of specifications; complete in specific ations 花样繁多 a wide selection of colours and designs 货色齐全 goods of every description are available. 客商第一，信誉第一 clients first, reputation first 款式多样 a great variety of models 款式活泼端庄 vivid and great in style 款式齐全 various styles 款式新颖 attractive designs; fashionable(in) style; novel (in) de sign; up-to-date styling 款式新颖众多 diversified latest designs 美观大方 elegant appearance 美观耐用 attractive and durable 品质优良，疗效显著，誉满全球，欢迎选购 excellent quality, evident effect, good reputation over the world, orders are welcome. 品种多样 numerous in variety 品种繁多 great varieties 品种齐全 complete range of articles; a great variety of goods
各种数学名词的英语翻译 数学 mathematics, maths(BrE), math(AmE) 公理 axiom 定理 theorem 计算 calculation 运算 operation 证明 prove 假设 hypothesis, hypotheses(pl.) 命题 proposition 算术 arithmetic 加 plus(prep.), add(v.), addition(n.) 被加数 augend, summand 加数 addend 和 sum 减 minus(prep.), subtract(v.), subtraction(n.) 被减数 minuend 减数 subtrahend 差 remainder 乘 times(prep.), multiply(v.), multiplication(n.) 被乘数 multiplicand, faciend 乘数 multiplicator 积 product 除 divided by(prep.), divide(v.), division(n.) 被除数 dividend 除数 divisor 商 quotient 等于 equals, is equal to, is equivalent to 大于 is greater than 小于 is lesser than 大于等于 is equal or greater than 小于等于 is equal or lesser than 运算符 operator 平均数mean 算术平均数arithmatic mean 几何平均数geometric mean n 个数之积的n次方根 倒数（reciprocal） x的倒数为 1/x 有理数 rational number 无理数 irrational number 实数 real number 虚数 imaginary number 数字 digit 数 number 自然数 natural number 整数 integer 小数 decimal 小数点 decimal point 分数 fraction 分子 numerator 分母 denominator 比 ratio 正 positive 负 negative 零 null, zero, nought, nil 十进制 decimal system 二进制 binary system 十六进制 hexadecimal system 权 weight, significance 进位 carry 截尾 truncation 四舍五入 round 下舍入 round down 上舍入 round up 有效数字 significant digit 无效数字 insignificant digit 代数 algebra 公式 formula, formulae(pl.) 单项式 monomial 多项式 polynomial, multinomial 系数 coefficient 未知数 unknown, x-factor, y-factor, z-factor 等式，方程式 equation 一次方程 simple equation 二次方程 quadratic equation 三次方程 cubic equation 四次方程 quartic equation 不等式 inequation 阶乘 factorial 对数 logarithm 指数，幂 exponent 乘方 power 二次方，平方 square 三次方，立方 cube 四次方 the power of four, the fourth power n次方 the power of n, the nth power 开方 evolution, extraction 二次方根，平方根 square root 三次方根，立方根 cube root 四次方根 the root of four, the fourth root n次方根 the root of n, the nth root sqrt(2)= sqrt(3)= sqrt(5)= 常量 constant 变量 variable 坐标系 coordinates 坐标轴 x-axis, y-axis, z-axis 横坐标 x-coordinate 纵坐标 y-coordinate 原点 origin 象限quadrant 截距(有正负之分)intercede （方程的）解solution 几何geometry 点 point 线 line 面 plane 体 solid 线段 segment 射线 radial 平行 parallel 相交 intersect
翻译的英语单词 翻译是在准确、通顺的基础上，把一种语言信息转变成另一种语言信息的行为。翻译是将一种相对陌生的表达方式，转换成相对熟悉的表达方式的过程。那么你知道翻译的英语单词是什么吗?下面来学习一下吧。 翻译英语单词1： translate 翻译英语单词2： interpreter 翻译的英语例句： 女孩们等待埃施先生作翻译。 The girls waited for Mr Esch to translate. 人们很难翻译幽默或笑话。 You really can 't translate humor or jokes. 逐字翻译不一定最接近原义。 A literal translation is not always the closest to the original meaning. 我认为她对这篇文章的翻译要比他强的多。 I think her translation of the article is much better than his. 你能把这句话翻译成英语吗?
Can you translate the sentence into English? 我不太满意他对这个句子的翻译。 I'm not satisfied with his interpretation of this sentence. 我正在逐字的翻译。 I am making a verbal translation. 我给你当翻译。 I'll act as interpreter for you. 要不要我来帮你翻译? Would you like me to interpret for you? 被翻译成英语的爱尔兰童话故事 Irish fairytales that had been translated into English 在你们的合同中已订定有可能要翻译这本书。 The possibility of the book being translated is provided for in your contract. 受控语言加机器翻译就是受控翻译。 Machine translation plus controlled language is called controlled translation. 这部书已经翻译成多种语言。 This book has been translated into several languages. 翻译诗歌在许多情况下都是困难的。 It's often difficult to translate poems.
一，代数部分 1.有关数学运算 add，plus加 subtract减 difference差 multiply,times乘 product积 divide除 divisible可被整除的 dividedevenly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 radicalsign,rootsign根号 roundto四舍五入 tothenearest四舍五入 2.有关集合 union并集 pro per 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 fracti o n纯小数 infinite decimal无穷小数 recurring decimal循环小数 tenthsunit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 cuberoot立方根 common logarithm常用对数 digit数字 constant常数 variable变量 inversefunction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ordinaryscale,decimalscale十进制 nonnegative非负的 tens十位 units个位 mode众数（可以不止一个） median中数（如果有偶数个，取中间两个数的平均数） common ratio公比 standard diviation标准方差，方差是一组数据中的每一个
1.素质教育：Quality Education 2. EQ：分两种，一种为教育商数Educational quotient，另一种情感商数Emotional quotient 3. 保险业：the insurance industry 4. 保证重点指出：ensure funding for priority areas 5. 补发拖欠的养老金：clear up pension payments in arrears 6. 不良贷款：non-performing loan 7. 层层转包和违法分包：mutlti-level contracting and illegal subcontracting 8. 城乡信用社：credit cooperative in both urban and rural areas 9. 城镇居民最低生活保障：a minimum standard of living for city residents 10. 城镇职工医疗保障制度：the system of medical insurance for urban workers 11. 出口信贷：export credit 12. 贷款质量：loan quality 13. 贷款质量五级分类办法：the five-category assets classification for bank loans 14. 防范和化解金融风险：take precautions against and reduce financial risks 15. 防洪工程：flood-prevention project 16. 非法外汇交易：illegal foreign exchange transaction 17. 非贸易收汇：foreign exchange earnings through nontrade channels 18. 非银行金融机构：non-bank financial institutions 19. 费改税：transform administrative fees into taxes 20. 跟踪审计：foolow-up auditing 21. 工程监理制度：the monitoring system for projects 22. 国有资产安全：the safety of state-owned assets 23. 过度开垦：excess reclamation 24. 合同管理制度：the contract system for governing projects 25. 积极的财政政策：pro-active fiscal policy 26. 基本生活费：basic allowance 27. 解除劳动关系：sever labor relation 28. 金融监管责任制：the responsibility system for financial supervision 29. 经济安全：economic security 30. 靠扩大财政赤字搞建设：to increase the deficit to spend more on development 31. 扩大国内需求：the expansion of domestic demand 32. 拉动经济增长：fuel economic growth 33. 粮食仓库：grain depot 34. 粮食收购企业：grain collection and storage enterprise 35. 粮食收购资金实行封闭运行：closed operation of grain purchase funds 36. 粮食销售市场：grain sales market 37. 劣质工程：shoddy engineering
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.
1.point and click (鼠标）点击 2.integrated circuit 集成电路 3.online transactions 网上交易 https://www.doczj.com/doc/0018889879.html,puter monitor 电脑显示器 5. projector 投影仪 6. screen saver 电脑保护系统 7. virtual currency 虚拟货币 8. computerized system 计算机系统 9. internet distance learning 网络远程教育 10. anti-virus programs 杀毒软件 11. bar code 条形码 12. cordless telephone 无线电话 13. cyberspace 网络空间 14. desktop 桌面，台式机 15. digital television 数字电视 16. video camera 摄像机 17. electronic hearing aid 电子助听器 18. fiber optic technology 光纤技术 19. firewall 防火墙 20. genetic engineering 基因工程 21. hacker 黑客 22. intelligent system 智能系统 23. it-industry 信息产业 24. minicomputer 小型计算机 25. multimedia learning system 多媒体学习系统 26. palmtop 掌上电脑 27. password 密码，口令 28. software package 软件包 29. solar collector 太阳能集热器 30. terminal 终端 文化教育词汇 1. educational background 教育背景 2. educational history 学历 3. curriculum 课程 4. major 主修 5. minor 未成年的；次要的；较小的未成年人副修 6. educational highlights 课程重点部分 7. specialized courses 专业课 8. social practice 社会实践 9. part-time jobs 兼职 10. extracurricular activities 课外活动 11. recreational activities 娱乐活动 12. academic activities 学术活动
翻译常用词汇 高枕无忧resting without worries 史无前例unprecedented in the history 不可一世a conquering hero 毫不示弱equally firmly 量体裁衣to act according to actual circumstances 一刀两断to cut it clean 与虎谋皮to ask a tiger for its skin 六亲不认to disown all one’s relatives and fri ends 英雄本色the true quality of a hero 英雄所见略同Great minds think alike. 每逢佳节倍思亲On festive occasions more than ever we think of our dear ones faraway. 上有好，下必有其焉。What the superior loves, his inferiors will be found to love exceedingly.大江东去，浪淘尽，千古风流人物。The Great River flows to the east: Its waves have washed away all the men of untrammeled spirit of a thousand ages. 上兵伐谋，其次伐交。What is supremely important in war is to attack the enemy’s strategy. Next best is to disrupt his alliances. 问君能有几多愁，恰似一江春水向东流。I wonder how many sorrows you have. They are exactly like the Yangtze River unceasingly flowing eastward in spring. 千呼万唤始出来，犹抱琵琶半遮面。Only after a thousand entreaties does she appear. Her face half hidden behind the guitar (pipa) in her arms. 吃得苦中苦，方为人上人。Only if you can stand the hardest of hardships can you hope to rise in society. 是非经过不知难You never know how hard a task is almost until you have done it yourself. 满招损Pride goes before a fall. / Pride spells failure. 适可而止Bind the sack before it be full. 好汉做事好汉当A true man has the courage to accept the consequences of his own actions.知己知彼，百战不殆。To know one’s and the enemy’s situation ensures victory. 牵扯之覆，后车之鉴。The overturned car ahead is a warning to the ones behind. 山雨欲来风满楼The wind sweeping through the tower heralds a rising storm in the mountains. 是故学然后知不足，教然后之困。Therefore, to learn makes us realize our deficiency, and to teach makes us know the difficulties. 人尽其才、地尽其利、物尽其利、货畅其流。Our human, land and material resources should be used to the best advantage, and our goods should be in good circulation. 父母有抚养教育未成年子女的义务，成年子女有赡养扶助父母的义务。Parents have the duty to rear and education their children who are minors, and children who have come of age have the duty to support and assist their parents. 中华人民共和国公民有劳动的权利和义务。Citizens of the P eople’s Republic of China have the right as well as the duty of work. 各民族公民都有用本民族语言文字进行诉讼的权利。Citizens of all nationalities have the right to use the spoken and written languages of their own nationalities in court proceedings.
中国国情词汇翻译 总需求 aggregate demand 总供给 aggregate supply 企业文化 corporate/entrepreneurial culture 企业形象 corporate image (Cl); enterprise image 跨国公司 cross-national corporation 创业精神 enterprising spirit; pioneering spirit 外资企业 foreign-funded enterprise 猎头公司head-hunter 假日经济 holiday economy 人力资本human capital 航空和航天工业aerospace industry 飞机制造工业aircraft industry 电子工业 electronic industry 汽车制造工业 car industry 娱乐业 entertainment industry 信息产业 information industry 知识密集型产业 knowledge-intensive industry 国有大中型企业 large and medium-sized state-owned enterprises 轻工业 light industry 博彩业 lottery industry 制造业 manufacturing industry 垄断行业 monopoly industries 市场多元化 market diversification 市场经济 market economy 市场监管 market supervision 购买力 purchasing power 熊市 bear market 牛市 bull market 城镇化 urbanization 房地产 real estate 首付 down-payment 业主 home owner 个人购房贷款 individual housing loan