数学符号的英文表达
常用符号和运算符的英语描述
一、数学运算符号的英文表达(小数、分数、百分数和运算符号)1. 小数表示法(1) 小数的读法小数点左边的数通常按基数词读,若为三位以上的数,也可按编码式读法读出,即将数字单个读出;小数点右边的数通常按编码式读法单个读出。
如:6.86 six point eight six14.15 fourteen point one five345.456 three four five point four five six或three hundred and forty-five point four five six(2) 小数中“0”的读法“0”在小数中通常读作nought(英)或zero(美),也可读作字母o。
如:0.08 (nought)point nought eight 或(zero)point zero eight9.07 nine point o seven2. 百分数表示法百分数中的百分号%读作percent。
如:6% 读作six percent0.6% 读作(nought)point six percent500% 读作five hundred percent3. 倍数表示法倍数表示方法很多,如:This room is four times as big as mine. 这个房间是我房间的四倍。
This room is three times larger than that one. 这个房间比那个房间大两倍。
The output of coal has doubled. 煤的产量增加了一倍。
My aunt is as old again as I am. 我姑姑年龄比我大一倍。
Productivity is increased three fold. 生产效率提高了两倍。
The volume of the Sun is about 1,300,000 times that of the Earth.太阳的体积约为地球的1300000倍。
数学术语英文对照表
数学术语英文对照表在学习数学时,不可避免地需要掌握一些数学术语。
下面是一些常见的数学术语的中英文对照表:1. 数学 Mathematics2. 数学符号 Mathematical symbol3. 数字 Digit4. 字符 Character5. 算术 Arithmetic6. 代数 Algebra7. 几何 Geometry8. 统计学 Statistics9. 概率 Probability10. 三角学 Trigonometry11. 微积分 Calculus12. 矩阵 Matrix13. 向量 Vector14. 线性代数 Linear algebra15. 数学模型 Mathematical model16. 方程 Equation17. 垂直 Perpendicular18. 平行 Parallel19. 正比例 Direct proportion20. 反比例 Inverse proportion21. 旋转 Rotation22. 缩放 Scaling23. 变形 Deformation24. 函数 Function25. 极限 Limit26. 微分 Differential27. 积分 Integral28. 中心 Central29. 对称 Symmetry30. 相似 Similarity31. 等式 Equality32. 不等式 Inequality33. 方形 Rectangle34. 正方形 Square35. 圆 Circle36. 椭圆 Ellipse37. 球球体 Sphere38. 三角形 Triangle39. 直角三角形 Right triangle40. 等腰三角形 Isosceles triangle41. 等边三角形 Equilateral triangle42. 直线 Line43. 射线 Ray44. 线段 Line segment45. 弧 Arc46. 正弦 Sine47. 余弦 Cosine48. 正切 Tangent49. 余切 Cotangent50. 弦 Chord总之,数学术语是数学学习的基础,掌握数学术语对于提高数学能力以及学好数学至关重要。
数学常用符号中英文
+ plus 加号;正号- minus 减号;负号± plus or minus 正负号× is multiplied by 乘号÷ is divided by 除号=is equal to 等于号≠ is not equal to 不等于号≡ is equivalent to 全等于号≌is equal to or approximately equal to 等于或约等于≈ is approximately equal to 约等于号<is less than 小于号>is more than 大于号≮is not less than 不小于号≯is not more than 不大于号≤ is less than or equal to 小于或等于号≥ is more than or equal to 大于或等于号% per cent 百分之…‰ per mill 千分之…∞ infinity 无限大号∝varies as 与…成比例√ (square) root 平方根∵since; because 因为∴hence 所以∷equals, as (proportion) 等于,成比例∠angle 角⌒semicircle 半圆⊙circle 圆○ circumference 圆周π pi 圆周率△ triangle 三角形⊥perpendicular to 垂直于∪union of 并,合集∩ intersection of 交,通集∫ the integral of …的积分∑ (sigma) summation of 总和° degree 度′ minute 分〃second 秒℃Celsius system 摄氏度{ open brace, open curly 左花括号} close brace, close curly 右花括号( open parenthesis, open paren 左圆括号) close parenthesis, close paren 右圆括号() brakets/ parentheses 括号[ open bracket 左方括号] close bracket 右方括号[] square brackets 方括号. period, dot 句号,点| vertical bar, vertical virgule 竖线& ampersand, and, reference, ref 和,引用* asterisk, multiply, star, pointer 星号,乘号,星,指针/ slash, divide, oblique 斜线,斜杠,除号// slash-slash, comment 双斜线,注释符# pound 井号\ backslash, sometimes escape 反斜线转义符,有时表示转义符或续行符~ tilde 波浪符. full stop 句号, comma 逗号: colon 冒号; semicolon 分号? question mark 问号! exclamation mark (英式) exclamation point (美式)' apostrophe 撇号- hyphen 连字号-- dash 破折号... dots/ ellipsis 省略号" single quotation marks 单引号"" double quotation marks 双引号‖ par allel 双线号& ampersand = and~swung dash 代字号§ section; division 分节号→ arrow 箭号;参见号。
数学符号英语
+ plus加号;正号-minus减号;负号±plus or minus正负号×is multiplied by乘号÷is divided by除号=is equal to等于号≠is not equal to不等于号≡is equivalent to全等于号≌is equal to or approximately equal to等于或约等于号≈is approximately equal to约等于号<is less than小于号>is greater than大于号≮is not less than不小于号≯is not more than不大于号≤is less than or equal to小于或等于号≥is more than or equal to大于或等于号%per cent百分之…‰per mill千分之…∞infinity无限大号∝varies as与…成比例√(square) root平方根∵since; because因为∴hence所以∷equals, as (proportion)等于,成比例∠angle角≲semicircle半圆≰circle圆○circumference圆周πpi 圆周率△triangle三角形≱perpendicular to垂直于∪union of并,合集∩intersection of 交,通集∫the integral of …的积分∑(sigma) summation of总和°degree度′minute分″second秒℃Celsius system摄氏度{open brace, open curly左花括号}close brace, close curly右花括号(open parenthesis, open paren左圆括号)close parenthesis, close paren右圆括号() brakets/ parentheses括号[open bracket 左方括号]close bracket 右方括号[] square brackets方括号.period, dot句号,点|vertical bar, vertical virgule竖线&ersand, and, reference, ref和,引用*asterisk, multiply, star, pointer星号,乘号,星,指针/slash, divide, oblique 斜线,斜杠,除号//slash-slash, comment 双斜线,注释符#pound井号\backslash, sometimes escape反斜线转义符,有时表示转义符或续行符~tilde波浪符.full stop句号,comma逗号:colon冒号;semicolon分号?question mark问号!exclamation mark (英式英语) exclamation point (美式英语)'apostrophe撇号-hyphen连字号-- dash 破折号...dots/ ellipsis省略号"single quotation marks 单引号""double quotation marks 双引号‖parallel 双线号&ersand = and~swung dash 代字号§section; division 分节号→arrow 箭号;参见号。
数学运算符号的英文表达
数学运算符号的英文表达小数、分数、百分数和运算符号1. 小数表示法(1) 小数的读法小数点左边的数通常按基数词读,若为三位以上的数,也可按编码式读法读出,即将数字单个读出;小数点右边的数通常按编码式读法单个读出。
如:6.86 six point eight six14.15 fourteen point one five345.456 three four five point four five six或three hundred and forty-five point four five six(2) 小数中“0”的读法“0”在小数中通常读作nought(英)或zero(美),也可读作字母o。
如:0.08 (nought)point nought eight 或(zero)point zero eight9.07 nine point o seven2. 百分数表示法百分数中的百分号%读作percent。
如:6% 读作six percent0.6% 读作(nought)point six percent500% 读作five hundred percent3. 倍数表示法倍数表示方法很多,如:This room is four times as big as mine. 这个房间是我房间的四倍。
This room is three times larger than that one. 这个房间比那个房间大两倍。
The output of coal has doubled. 煤的产量增加了一倍。
My aunt is as old again as I am. 我姑姑年龄比我大一倍。
Productivity is increased three fold. 生产效率提高了两倍。
The volume of the Sun is about 1,300,000 times that of the Earth.太阳的体积约为地球的1300000倍。
数学公式英文读法
数学公式英文读法
数学公式是数学领域中非常重要的内容,而对于英语学习者来说,了解数学公式的英文读法也是必备的技能。
下面是数学公式英文读法的详细介绍:
1. 加法符号(+):plus
2. 减法符号(-):minus
3. 乘法符号(×):times
4. 除法符号(÷):divided by
5. 相等符号(=):equals
6. 大于符号(>):greater than
7. 小于符号(<):less than
8. 大于等于符号(≥):greater than or equal to
9. 小于等于符号(≤):less than or equal to
10. 指数符号(^):to the power of
11. 根号(√):square root of
12. 等比数列符号(a, a, a, …):geometric sequence
13. 等差数列符号(a, a, a, …):arithmetic sequence
14. 求和符号(Σ):sum of
15. 求积符号(∏):product of
16. 分数符号(a/b):a over b
17. 百分号(%):percent
18. 无限大符号(∞):infinity
以上就是数学公式英文读法的详细介绍,希望对您有所帮助。
数学符号的英文表达
数学符号的英文表达Mathematical Symbols and Their English Expressions。
Mathematics, often referred to as the language of the universe, employs a vast array of symbols to represent concepts, operations, and relationships. From basic arithmetic to complex calculus, these symbols play a crucial role in conveying mathematical ideas succinctly and precisely. In this article, we explore some common mathematical symbols and their English expressions.1. Plus Sign (+):The plus sign represents addition.Example: 2 + 3 = 5.2. Minus Sign (-):The minus sign represents subtraction.Example: 5 2 = 3.3. Multiplication Sign (×):The multiplication sign denotes multiplication.Example: 2 × 3 = 6.4. Division Sign (÷):The division sign indicates division.Example: 6 ÷ 2 = 3.5. Equals Sign (=):The equals sign signifies equality between two expressions.Example: 2 + 3 = 5.6. Greater Than (>) and Less Than (<):Greater than and less than symbols are used to compare the size of two numbers.Example: 5 > 3 (read as "5 is greater than 3").7. Greater Than or Equal To (≥) and Less Than or Equal To (≤):These symbols indicate that a number is either greater than or equal to, or less than or equal to, another number.Example: 4 ≤ 5 (read as "4 is less than or equal to 5").8. Exponentiation (^):The exponentiation symbol is used to denote raising a number to a power.Example: 2^3 = 8 (read as "2 raised to the power of 3 equals 8").9. Square Root (√):The square root symbol represents the square root of a number.Example: √9 = 3 (read as "the square root of 9 equals 3").10. Summation (∑):The summation symbol indicates adding up a series of numbers.Example: ∑(i=1 to 5) i = 1 + 2 + 3 + 4 + 5 = 15.11. Pi (π):Pi is a mathematical constant representing the ratio of a circle's circumference to its diameter.Example: The value of π is approximately 3.14159.12. Infinity (∞):The infinity symbol denotes a quantity without bound or end.Example: lim(x→∞) x = ∞ (read as "the limit of x as it approaches infinity is infinity").13. Integral (∫):The integral symbol signifies the integration of a function with respect to a variable.Example: ∫x^2 dx = (1/3)x^3 + C (read as "the integral of x squared with respect to x equals one-third x cubed plus a constant").14. Derivative (d/dx):The derivative symbol represents the rate of change of a function with respect to its variable.Example: d/dx (x^2) = 2x (read as "the derivative of x squared with respect to x equals 2x").These are just a few examples of the many symbols used in mathematics to express various concepts and operations. Mastering these symbols is essential for effectively communicating mathematical ideas and solving problems across different branches of mathematics. Whether in algebra, calculus, geometry, or beyond, understanding the language of mathematical symbols is key to unlocking the mysteries of the universe.。
你知道这些数学符号和名称如何用英文表达吗?
你知道这些数学符号和名称如何用英文表达吗?加法:addition表达“加”的含义的词:add, and, more, sum, increase, plus, total, together减法:subtraction表达“减”的含义的词:fewer, minus, take away, difference between, take from, reduce, decrease乘法:multiplication表达“乘”的含义的词:multiply, times, groups of, multiplied by, lots of, product除法:division表达“除”的含义的词:divide, share, divisible by, share equally, divide into group, divided by等于:equals表达“等于”的含义的词:makes, totals, is equivalent to, is the same as大于 is greater than小于 is less than运算符 operator数字 digit数 number自然数 natural number整数 integer质数 prime number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四舍五入 round下舍入 round down上舍入 round up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常量 constant变量 variable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有理数 rational number无理数 irrational number实数 real number虚数 imaginary number复数 complex number矩阵 matrix行列式 determinant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菱形 rhomb, rhombus, rhombi(pl.), diamond 正方形 square梯形 trapezoid(美),trapezium(英)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圆 circle圆心 centre(英), center(美)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周长 perimeter面积 area轨迹 locus, loca(pl.)相似 similar全等 congruent立方体 cube四面体 tetrahedron五面体 pentahedron六面体 hexahedron平行六面体 parallelepiped 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棱锥 pyramid棱柱 prism棱台 frustum of a prism 旋转 rotation轴 axis圆锥 cone圆柱 cylinder圆台 frustum of a cone 球 sphere半球 hemisphere底面 undersurface表面积 surface area体积 volume空间 space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双曲线 hyperbola抛物线 parabola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相位 phase周期 period振幅 amplitude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公理 axiom定理 theorem计算 calculation运算 operation证明 prove假设 hypothesis, hypotheses(pl.) 命题 proposition。
数学符号英文表示
以下是一些通用的标点符号英文翻译,常用的都在这儿了。
= equal, comma; semicolon: colon? question mark! exclamation mark/ slash/ backslash| bar@ at# number sign$ dollar% percent^ caret& ampersand* asterisk 通配符_ under score( left parentheses) right parentheses[ left bracket] right bracket{ left brace} right brace' quote' back quote" double quote~ tilde. period< less> greater' apostrophe 省略号;所有格符号-- dash 破折号' ' single quotation marks 单引号" " double quotation marks 双引号( ) parentheses 圆括号[ ] square brackets 方括号<> Angle bracket{} Brace... ellipsis 省略号- hyphen 连字符加减乘除、以及space和enter 符号这里略去,想必大家都会;最后一个hyphen 连字符有点难度,估计很多人不知道怎么念,用minus代替了。
下面列一些数学符号的英文《》French quotes 法文引号;书名号¨tandem colon 双点号" ditto 同上‖parallel 双线号/virgule 斜线号&ampersand = and~swung dash 代字号§section; division 分节号→arrow 箭号;参见号+positive sign 正号-minus 负号or negativeªplus or minus 正负号×is multiplied by 乘号÷is divided by 除号=is equal to 等于号≠is not equal to 不等于号≡is equivalent to 全等于号≌is equal to or approximately equal to 等于或约等于号≈is approximately equal to 约等于号<is less than 小于号>is more than 大于号≤is not less than 不小于号≥is not more than 不大于号≢is less than or equal to 小于或等于号≣is more than or equal to 大于或等于号%per cent 百分之…‰per mill 千分之…∞infinity 无限大号∝varies as 与…成比例√(square) root 平方根∵since; because 因为∴hence 所以∷equals, as (proportion) 等于,成比例∟angle 角≨semicircle 半圆≦circle 圆○circumference 圆周πpi 圆周率△triangle 三角形≧perpendicular to 垂直于∪union of 并,合集∩intersection of 交,通集∫the integral of …的积分∑(sigma) summation of 总和©degree 度′minute 分″second 秒#number …号℃Celsius system 摄氏度@at 单价x'是x prime(比如转置矩阵) x"是x double-prime。
各种数学符号的英语表达方式
各种数学符号的英语表达方式
英文标点符号怎么念,小编带大家一起来学习学习。
+ plus 加号;正号
- minus 减号;负号
±plus or minus 正负号
× multiplied by乘号
÷divided by 除号
= equal to 等于号
≠ not equal to不等于号
≡equivalent to 全等于号
≌equal to or approximately equal to 等于或约等于号≈ approximately equal to约等于号
< less than 小于号
> more than 大于号
≮not less than 不小于号
≯not more than 不大于号
≤less than or equal to 小于或等于号
≥more than or equal to 大于或等于号
% percent 百分之…
‰permill 千分之…
∞infinity 无限大号
∝varies as 与…成比例
√square root 平方根
∵since, because 因为
∴hence 所以
∷equals, as proportion 等于,成比例
∠angle 角
⌒semicircle 半圆
⊙circle 圆。
数学符号英语表达
数学符号英语表达
数学符号是用来表示数学概念和运算的特殊符号。
在数学中,不同的符号有不同的含义和用法。
下面是一些常见的数学符号及其英语表达:
+ 加 (plus)
- 减 (minus)
×乘 (times)
÷除 (divided by)
= 等于 (equals)
≠不等于 (not equal to)
< 小于 (less than)
> 大于 (greater than)
≤小于等于 (less than or equal to)
≥大于等于 (greater than or equal to)
√开方 (square root)
^ 幂 (exponent)
% 百分号 (percent)
π圆周率 (pi)
e 自然对数的底数 (Euler's number)
除了这些常见的数学符号外,还有很多其他符号,如集合符号、积分符号、极限符号等等。
掌握这些符号的英语表达,可以帮助我们更好地理解和应用数学知识。
常见数学符号英语单词、发音
举例 5+3=8 10 - 7 = 3 x ±2 means x plus or minus 2 4 ×6 = 24 8 ÷2 = 4 2+2=4 3+1≠5
7 < 10 15 > 12 x ≤ 5 means x is less than or equal to 5 y ≥ 8 means y is greater than or equal to 8 ∫ f(x) dx 表示对 f(x) 进行积分 ∂f/∂x 表示对变量 x 的偏导数 ∑(i=1 to n) xi 表示从 i=1 到 n 的数 xi 的总和 √4 表示 4 的平方根 lim(x → ∞) f(x) 表示 x 趋近于无穷时 f(x) 的极限 δx 表示变量 x 的微小增量 ε > 0 表示一个正数 ε (f ∘ g)(x) 表示函数 f 和 g 的复合函数 ∆y 表示变量 y 的变化量 a = b, ∴ a + c = b + c π ≈ 3.14
Delta (Change or Difference) Therefore
Approximately equal to
发音 /plʌs/ /ˈmaɪ.nəs/ /ˌplʌsˈmaɪ.nəs/ or /ˌpɒzətɪvˈnɛɡətɪv/ /taɪmz/ or /ˈmʌltəplaɪd baɪ/ /daɪˈvaɪ.dɪd baɪ/ /ˈiːkwəlz/ /ˈnɒt ɪˈkwəl tə/ /lɛs ðæn/ /ˈɡreɪ.tər ðæn/ /lɛs ðæn ɔːr ˈiːkwəl tə/ /ˈɡreɪ.tər ðæn ɔːr ˈiːkwəl tə/ /ˈɪntɪɡrəl/ /ˈpɑːrʃəl dɪˈrɪvətɪv/ /sʌˈmeɪʃən/ /skwɛər rut/ or /skweər ruːt/ /ɪnˈfɪnəti/ /ˈdɛltə/ /ˈɛpsɪlɒn/ or /ˈɛpsɪlən/ /ˌkɒmpəˈzɪʃən/ /ˈdɛltə/ /ˌðɛrˈfɔːr/ or /ˌðɛrˈfɔː/ /əˈprɒksɪmətli ˈiːkwəl tuː/
数学符号的英文表达
数学符号的英文表达exclaim'='!''at'='@''numbersign'='#' 'dollar'='$''percent'='%''caret'='^''ampersand'='&' 'asterisk'='*''parenleft'='(''parenright'=')' 'minus'='-''underscore'='_' 'equal'='=''plus'='+''bracketleft'='[' 'braceleft'='{''bracketright'=']' 'braceright'='}' 'semicolon'=';' 'colon'=':' 'quote'=''''doublequote'='"''backquote'=''''tilde'='~''backslash'='\''bar'='|''comma'=',''less'='<''period'='.''greater'='>''slash'='/''question'='?''space'=' '.period 句号,comma 逗号:colon 冒号;semicolon 分号!exclamation 惊叹号question mark 问号 ̄hyphen 连字符'apostrophe 省略号;所有格符号—dash 破折号… ‟single quotation marks 单引号“ ”double quotation marks 双引号( )parentheses 圆括号[ ]square brackets 方括号《》French quotes 法文引号;书名号...ellipsis 省略号¨tandem colon 双点号"ditto 同上‖parallel 双线号/virgule 斜线号&ampersand = and~swung dash 代字号§section; division 分节号→arrow 箭号;参见号+plus 加号;正号-minus 减号;负号±plus or minus 正负号×is multiplied by 乘号÷is divided by 除号=is equal to 等于号≠is not equal to 不等于号≡is equivalent to 恒等于号≌is identical to 全等于号≈is approximately equal to 约等于号<is less than 小于号>is more than 大于号≮is not less than 不小于号≯is not more than 不大于号≤is less than or equal to 小于或等于号≥is more than or equal to 大于或等于号%per cent 百分之…‰per mill 千分之…∞infinity 无限大号∝varies as 与…成比例∵since; because 因为∴hence 所以∷equals, as (proportion) 等于,成比例∠angle 角≲semicircle 半圆R radius半径D diameter; caliber直径≰circle 圆○circumference 圆周△triangle 三角形≱perpendicular to 垂直于∪union of 并,合集∩intersection of 交,通集∫the integral of …的积分∑(sigma) summation of 总和°degree 度′minute 分″second 秒#number …号℃Celsius degree 摄氏度°F fahrenheit degree 华氏度@at 单价length~长width~宽height~高cylinder~圆柱cone~圆锥pi~圆周率反函数:a inverse function.幂函数:a power function.指数函数:a exponential function.对数函数:a logarithmic function. 三角函数:a trigonometric function.反三角函数:a anti-trigonometric function.复合函数:a compound function.初等函数:a elementary function. 双曲函数:a hyperbolic function.反双曲函数:a anti-hyperbolic function.无穷小:infinitesimal.无穷大:infinity.连续性:continuity.间断点:discontinuous point.介值定理:intermediate value theorem. 导数:derivative. 微分:differential.函数的单调性:monotonicity of function.曲线:curve. 曲线的凹凸性:concavity of curve.曲线的拐点: keen point of curve. 曲率:curvature.不定积分: indefinite integral(indetermin ate integral).定积分: definite integral.广义积分:improper integral.空间解析几何:space analytic geometry.向量代数:vector algebra.空间直角坐标系:space rectangular coordinate system.数量积:scalar product.向量积:vector product.混合积:triple product. 曲面:surface.二次曲面:second-degree surface.一.数学中常用符号=/=: is not equal to>: is greater than <: is less th an//: is parallel to _|_: is perpendi cular to>=: is greater than or equal to (或 n o less than)<=: is less than or equal to (或no more than)二.表达相应数目的前缀1:uni-,mono-2:bi-,du-,di-3:tri-,ter-,4:tetra-,quad-,5:penta-,quint,6:hex-,sex-,7:sept-,hapta-,8:oct,9:enn-,10:dec-,deka-,三.数学中常用单词术语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。
各种符号、数字英语读法
常用的数学符号英文读法一、一般符号对应的英文单词. period 句号, comma 逗号: colon 冒号; semicolon 分号! exclamation 惊叹号? question mark 问号─ hyphen 连字符’ apostrophe 省略号;所有格符号— dash 破折号‘’single quotation marks 单引号“”double quotation marks 双引号( ) parentheses 圆括号[ ] square brackets 方括号《》French quotes 法文引号;书名号... ellipsis 省略号¨ tandem colon 双点号" ditto 同上‖ parallel 平行双线号/ virgule 斜线号& ampersand = and~ swung dash 代字号§ section; division 分节号→ arrow 箭号;参见号+ plus 加号;正号- minus 减号;负号± plus or minus 正负号× is multiplied by or cross 叉乘÷ is divided by 除号= is equal to 等于号≠ is not equal to 不等于号≡ is equivalent to 全等于号≌ is equal to or approximately equal to 等于或约等于号≈ is approximately equal to 约等于号< is less than 小于号> is more than (is greater than在数学中更常用)大于号≮ is not less than不小于号≯ is not more than不大于号≤ is less than or equal to 小于或等于号≥ is more than or equal to 大于或等于号% per cent 百分之…‰ per mill 千分之…∞ infinity 无限大号∝ varies as 与…成比例√ (square) root 平方根∵ since; because 因为∴ hence 所以∷ equals, as (proportion) 等于,成比例∠ angle 角⌒ semicircle 半圆⊙ circle 圆○ circumference 圆周π pi 圆周率△ triangle 三角形⊥ perpendicular to 垂直于;另外normal to,right to也都有垂直的意思。
数学符号英文说法和发音大全(符号英文)
数学符号英文说法和发音大全!!各路出国党不妨看过来!Symbols+ plus /'pl?s/- minus /'ma?n?s/±plus or minus /'pl?s ?: 'ma?n?s/x multiplied by /'m?lt?pla?d ba?// over; divided by /'??v?/ /d?'va?d?d/÷divided /d?'va?d?d/= equals /'?:kw?lz/≈approximately, similar /?'pr?ks?m?tl?/ /'s?m?l? t?/≡equivalent to; identical /?k'w?v?l?nt t?/ /a?'dent?kl t?/≠ not equal to /'n?t 'i?kw?l t?/> greater than /'gre?t? e?n/< less than /'les e?n/≥ greater than or equal to /'gre?t? e?n ?r 'i?kw?l t?/≤ less than or equal to /'les e?n ?r' i?kw?l t?/?not greater than /'n?t 'gre?t? e?n/?not less than /'n?t 'les e?n/?much greater than /'m?? 'gre?t? e?n/?much less than /'m?? 'les e?n/⊥perpendicular to /p??p?n'd?kj?l? t?/∣∣parallel to /'p?r?lel t?/?not equivalent to, not identical to /'n?t ?k'w?v?l?nt t?/ /'n?t a?'dent?kl t? ??not similar to /'n?t 's?m?l? t?/2squared /'skwe?d/3cubed /'kju:bd/4 to the fourth; to the power four /t? e? 'f??θ/ /te e? 'pɑ?? f??/n to the n; to the nth; to the power n /t? e? en; t? d?enθ; t? e? pɑ??r en/√root; square root /ru:t/ /skwe? ru:t/?cube root /kju:b ru:t/?fourth root /f??θ ru?t/! factorial /f?k't??r??l/% percent /p?'sent/∞infinity /?n'f?n?t?/∝varies as; proportional to /'v??r?z/ /pr?'p????n?l/˙dot /d?t/¨double dot /d?bl d?t/: is to, ratio of /re?????/f(x) fx f; function /ef/ /'f??k??n/f'(x) f dash; derivative /d??/ /d?'r?v?t?v/f''x f double-dash; second derivative /'d?bl d??/ /'sek?nd d?'r?v?t?v/f'''(x) f triple-dash; f treble-dash; third derivative /'tr?pl d??/ / trebl d??/ /θ?:d d?'r?v?t?v'r?v?t?v/f(4) f four; fourth derivative /f??θ d??partial derivative, delta /pa???l d?'r?v?t?v/ /delt?/∫integral /'?nt?gr?l/∑sum /s?m/w.r.t. with respect to /w?e 'r?spekt/log log /l?g/log?x log to the base 2 of x /l?g t? e? be?s tu: ?v eks/∴therefore /'e??f??/∵because /b?'k?z/→gives, leads to, approaches /g?vz/ /li:dz t?/ /?pr????z// per /p?:/∈belongs to; a member of; an element of /b?'l??z/ /'memb?/ /'el?m?nt/?does not belong to; is not a member of; is not an element of /n?t b?'l??/ /n?t ? 'memb?/ /n?t ?n 'e ?contained in; a proper subset of /k?n'te?nd ?n/ /'pr?p? 's?bset/?contained in; subset /'s?bset/?intersection /'?nt?sek??n/?union /'ju?n??n/?for all /f? r?:l/cos x cos x; cosine x /k?z/sin x sine x /sa?n/tan x tangent x /tan/cosec x cosec x /'k??sek/sinh x shine x /'?a?n/cosh x cosh x /'k??/tanh x than x /θ?n/|x| mod x; modulus x /m?d/ /'m?dj?l?s/℃degrees Centigrade /d?'gri:z 'sent?gre?d/℉degrees Fahrenheit /d?'gri:z 'f?r?nha?t/°K degrees Kelvin /d?'gri:z 'kelv?n/C absolute zero /abs?lu:t zi:r??/0°K, –273.15 °mm millimetre /'m?l?mi?t?/cm centimetre /'sent?mi?t?/cc, cm3cubic centimetre, centimetre cubed /'kju?b?k 'sent?mi?t?/ /'sent?mi?t? 'kju: m metre /'mi?t?/km kilometre /k?'l?m?t?/mg milligram /'m?l?gr?m/g gram /gr?m/kg kilogram /'k?l?gr?m/AC A.C. /e? si:/DC D.C. /di: si:/Examplesx + 1 x plus onex -1 x minus onex ± 1 x plus or minus onexy x y; x times y; x multiplied by y(x — y)(x + y) x minus y, x plus yx/y x over y; x divided by y;x ÷ y x divided by yx = 5 x equals 5; x is equal to 5x ≈ y x is approximately equal to yx ≡ y x is equivalent to y; x is identical with yx ≠ y x is not equal to yx > y x is greater than yx < y x is less than yx ≥ y x is greater than or equal to yx ≤ y x is less than or equal to y0 < x < 1 zero is less than x is less than 1; x is greater than zero and less than 10 ≤ x ≤ 1zero is less than or equal to x is less than or equal to 1; x is greater than or equal to zero and less than or equal to 1x2x squaredx3x cubedx4 x to the fourth; x to the power fourxn x to the n; x to the nth; x to the power nx-n x to the minus n; x to the power of minus n√root x; square root x; the square root of x?the cube root of x?the fourth root of xthe nth root of x(x + y)2x plus y all squared(x/y)2x over y all squaredn! n factorial; factorial nx% x percent∞infinityx ∝y x varies as y; x is (directly) proportional to yx ∝1/y x varies as one over y; x is indirectly proportional to y?x dot?x double dotf(x) fx f of x; the function of xf'(x) f dash x; the (first) derivative of with respect to xf''x f double-dash x; the second derivative of f with respect to xf'''(x) f triple-dash x; f treble-dash x; the third derivative of f with respect to xf(4) f four x; the fourth derivative of f with respect to x?v the partial derivative of v?v?θdelta v by delta theta, the partial derivative of v with respect to θ?2v?θ2delta two v by delta theta squared; the second partial derivative of v with respect to dv the derivative of vdvdθ d v by d theta, the derivative of v with respect to thetad2vdθ2 d 2 v by d theta squared, the second derivative of v with respect to theta,∫integralintegral from zero to infinity∑sumthe sum from i equals 1 to nw.r.t. with respect tologey log to the base e of y; log y to the base e; natural log (of) y∴therefore∵because→gives, approachesΔx → 0delta x approaches zerolimΔx→0the limit as delta x approaches zero, the limit as delta x tends to zeroLtΔx→0the limit as delta x approaches zero, the limit as delta x tends to zerom/sec metres per secondx ∈ A x belongs to A; x is a member of A; x is an element of Ax? A x does not belong to A; x is not a member of A; x is not an element of AA? B A is contained in B; A is a proper subset of BA ?B A is contained in B; A is a subset of BA ?B A intersection BA ?B A union Bcos x cos x; cosine xsin x sine xtan x tangent x, tan xcosec x cosec xsinh x shine xcosh x cosh xtanh x than x|x| mod x; modulus x18 ℃eighteen degrees Centigrade70 ℉seventy degrees FahrenheitGreek alphabetΑαalpha /'?lf?/Ββbeta /'bi:t?/Γγgamma /'g?m?/Δδdelta /'delt?/Εεepsilon /'epsil?n/Ζζzeta /'zi?t?/Ηηeta /'i?t?//Θθtheta /'θi?t?Ιιiota /a?'??t?/Κκkappa /'k?p?/Λλlamda /'l?md?/Μμmu /'mju?/Ννnu /'nju?/Ξξxi /'ksa?/Οοomicron /'??m?kr?n/ Ππpi /'pa?/Ρρ?rho /'r??/Σσsigma /'s?gm?/Ττtau /'tɑ?/Υυupsilon /'j?ps?l?n/ Φφphi /'fa?/Χχchi /'ka?/Ψψ psi /'psa?/Ωω omega /'??m?g?/ ^Roman alphabetA a /'e?/B b /'bi?/C c /'si?/D d /'di?/E e /'i?/F f /'ef/G g /'?i?/H h /'e??/I i /'a?/J j /'?e?/K k /'ke?/L l /'el/M m /'em/N n /'en/O o /'??/P p /'pi?/Q q /'kju?/R r /'ɑ?/S s /'es/T t /'ti:/U u /'ju:/V v /'vi:/W w /'d?blju?/X x /'eks/Y y /'wa?/Z z /'zed/^Fractions? a half /? 'hɑ:f/? a quarter /? 'kw??t?/z/? three quarters /θri? 'kw??t?:d/? a third /?'θ?:dz/? two thirds /tu: 'θ??a fifth /? 'f?fθ/?t wo fifths /tu: 'f?fθs/?t hree fifths /θri? 'f?fθs/?f our fifths /f?? 'f?fθs/?a sixth /? 's?ksθ/?f ive sixths /fa?v 's?ksθs/? an eighth /?n 'e?tθ/? three eighths /θri? 'e?tθs/? five eighths /fa?v 'e?tθs/? seven eighths /sev?n 'e?tθs/^Decimal Fractions0.1 nought point one /n?:t p??nt w?n/0.01 nought point oh one /n?:t p??nt ?? w?n/0.0001 nought point oh oh oh one /ten p??nt ?????? w?n/1.1 one point one /w?n p??nt w?n/1.2 one point two /w?n p??nt tu:/1.23 one point two three /w?n p??nt tu: θri:/1.0123 one point oh one two three /w?n p??nt ?? w?n tu: θri:/10.01 ten point oh one /ten p??nt ?? w?n/21.57 twenty-one point five seven /'twent? w?n p??nt fa?v 'sev?n/2.6666666666.... two point six recurring /tu: p??nt s?ks r?'k?:r??/'k?:r??/ 2.612361236123... two point six one two three recurring /tu: p??nt s?ks w?n tu: θri: r? 2.5 million two point five million /tu: p??nt fa?v 'm?lj?n/^SI Units: Prefixes10-24 yocto y /'j?kt??/10-21 zepto z /'zept??/10-18 atto a /'at??/10-15 femto f /'femt??/10-12 pico p /'pi:k??/10-9 nano n /'nan??/10-6 micro μ/'ma?kr??/10-3 milli m /'m?l?/10-2 centi c /'sent?/10-1 deci d /'des?/103 kilo k /'k?l??/106 mega M /'meg?/109 giga G /'g?g?/1012 tera T /'ter?/1015 peta P /'pet?/1018 exa E /'eks?/1021 zetta Z /'zet?/1024 yotta Y /'j?t?/1027 xona X /'z??n?/1030 weka W /'wek?/1033 vunda V /'v?nd?/^Cardinal Numbers1 one /w?n/2 two /tu:/3 three /θri:/4 four /f??/5 five /fa?v/6 six /s?ks/7 seven /'sev?n/8 eight /e?t/9 nine /na?n/10 ten /ten/11 eleven /?'lev?n/12 twelve /twelv/:'ti:n/13 thirteen /θ?14 fourteen /f??'ti:n/15 fifteen /f?f'ti:n/16 sixteen /s?kst'i:n/17 seventeen /seven'ti:n/18 eighteen /e?'ti:n/19 nineteen /na?n'ti:n/20 twenty /'twent?/21 twenty-one /twent?'w?n/22 twenty-two /twent?'tu:/23 twenty-three /twent?'θri:/24 twenty-four /twent?'f??/25 twenty-five /twent?'fa?v/26 twenty-six /twent?'s?ks/27 twenty-seven /twent?'sev?n/28 twenty-eight /twent?'e?t/29 twenty-nine /twent?'na?n/:t?/30 thirty /'θ?40 forty /'f??t?/50 fifty /'f?ft?/60 sixty /'s?kst?/70 seventy /'sev?nt?/80 eighty /'e?t?/90 ninety /'na?nt?/100 a hundred; one hundred /? 'h?ndr?d/ /w 101 a hundred and one /? 'h?ndr?d ?n 102 a hundred and two /? 'h?ndr?d ?n 110 a hundred and ten /? 'h?ndr?d ?n 120 a hundred and twenty /? 'h?ndr?d ?n 200 two hundred /tu: 'h?ndr?d/ 300 three hundred /θri: 'h?ndr?d 400 four hundred /f?? 'h?ndr?d/ 500 five hundred /fa?v 'h?ndr?d/ 600 six hundred /s?ks 'h?ndr?d/ 700 seven hundred /'sev?n 'h?ndr? 800 eight hundred /e?t 'h?ndr?d/ 900 nine hundred /na?n 'h?ndr?d/ 1 000 a thousand, one thousand /?θ'ɑ?z?nd 1 001 a thousand and one /?'θɑ?z?nd 1 010 a thousand and ten /?'θɑ?z?nd 1 020 a thousand and twenty /?'θɑ?z?nd 1 100 one thousand, one hunded /w?n 'θɑ?z 1 101 one thousand, one hundred and one /w?n 'θɑ?z 1 110 one thousand, one hundred and ten /w?n 'θɑ?z9 999 nine thousand, nine hundred and ninety-nine /na?n 'θɑ?10 000 ten thousand /ten 'θɑ?15 356 fifteen thousand, three hundred and fifty six /'f?fti:n 'θ100 000 a hundred thousand /? 'h?ndr?d 'θ1 000 000 a million /? 'm?lj?n/100 000 000 a hundred million /? 'h?ndr?d 'm?1 000 000 000 a billion /? 'b?lj?n/100 000 000 000 a hundred billion /? 'h?ndr?d 'b?l 1 000 000 000 000 a trillion /? 'tr?lj?n/1 000 000 000 000 000 a quadrillion /? kw?dr?lj?n/ 1 000 000 000 000 000 000 a quintillian /? kw?n't?lj?n/ 1 000 000 000 000 000 000 000 a sextillion /? seks't?lj?n/1 000 000 000 000 000 000 000 000 a septillion /? sep't?lj?n/1 000 000 000 000 000 000 000 000 000 an ocillion /?n ?kt't?lj?n/1 000 000 000 000 000 000 000 000 000 000 a nonillion /? n?n'?lj?n/1 000 000 000 000 000 000 000 000 000 000 000 a decillion /? de's?lj?n/^Ordinal Numbers1st first /f?:st/2nd second /'sek?nd/:d/3rd third /θ?4th fourth /f?:θ/5th fifth /f?fθ/6th sixth /s?ksθ/7th seventh /'sev?nθ/8th eighth /e?tθ/9th ninth /na?nθ/10th tenth /tenθ/11th eleventh /?'lev?nθ/12th twelfth /'twelfθ/:'ti:nθ/13th thirteenth /θ?14th fourtheenth /f??'ti:nθ/15th fidteenth /f?f'ti:nθ/16th sixteenth /s?ks'ti:nθ/17th seventeenth /seven'ti:nθ/18th eighteenth /e?'ti:nθ/19th nineteenth /na?n'ti:nθ/20th twentieth /'twent??θ/21st twenty-first /twent?'f?:st/22nd twenty-second /twent?'sek?nd/:d/23rd twenty-third /twent?'θ?24th twenty-fourth /twent?'f?:θ/25th twenty-fifth /twent?'f?fθ/26th twenty-sixth /twent?'s?ksθ/27th twenty-seventh /twent?'sev?nθ/28th twenty-eighth /twent?'e?tθ/29th twenty-ninth /twent?'na?nθ/30th thirtieth /'θ??t??θ/'f?:st/31st thirty-first /θ??t?40th fortieth /'f?:t??θ/50th fiftieth /'f?ft??θ/100th hundredth /'h?ndr?dθ/1 000th thousandth /'θɑ?z?ndθ/1 000 000th millionth /'m?lj?nθ/。
数学符号字母和叫法
属于符号(元素属于集合)
∉
不属于符号(元素不属于集合)
∅
空集符号
∩
交集符号
∪
并集符号
⊆
子集符号
⊇
超集符号
⊕
直和符号(用于向量空间或群的直和)
⊗
圈积符号(用于某些代数结构中的乘积)
∇
梯度符号(nabla)
∞
无穷大符号
e
自然对数的底数(欧拉数)
π
圆周率
i
虚数单位(满足i² = -1)
√
平方根符号
∛
立方根符号
n!
阶乘符号(n的阶乘)
x
‖x‖
范数符号(通常用于向量或矩阵)
→
向量符号(表示方向)
∧
逻辑与符号(AND)
∨
逻辑或符号(OR)
¬
逻辑非符号(NOT)
∃
存在量词符号(存在)
∀Hale Waihona Puke 全称量词符号(对于所有)数学符号字母和叫法
符号
叫法/描述
+
加号
-
减号/负号
×
乘号
÷
除号
=
等号
≠
不等号
>
大于号
<
小于号
≥
大于等于号
≤
小于等于号
≈
约等于号
∑
求和符号(sigma)
∏
求积符号(pi,但通常用于乘积的上下标表示)
∫
积分符号
d
微分符号(通常与积分符号一起使用)
∂
偏微分符号
Δ
增量/差分符号(大写delta)
δ
微小变化量/差分符号(小写delta)
“加减乘除”及各种符号标点的英文表达讲解
数学符号Mathematical symbols01+plus 加号;正号“1+1”读作:one plus one02-minus ['maɪnəs]; negative ['negətɪv]减号;负号“2-1”读作:two minus one“-3”读作:minus three或negative three“2-(-3)”读作:two minus negative three 03±plus-minus sign 正负号“±1” 读作:plus or minus one04×multiplied [’mʌltɪ’plaɪd] by ; times乘号“2×3” 读作:two multiplied by three 或two times three05÷divided by 除号“4÷2”读作:four divided by two06=equals; is equal to 等于号“1+1=2”读作:One plus one equals two.或One plus one is equal to two.≠is not equal to 不等于号“a≠b”读作:a is not equal to b08≌congruent ['kɒŋgrʊənt] to全等(两个图形形状相同、大小相等)“△ABC≌△DEF”读作:Triangle ABC is congruent to Triangle DEF.09≈approximately equal to 约等于号“3×3≈10” 读作:Three multiplied by three is approximately equal to ten.10<is less than 小于号“1<2”读作One is less than two.11>is greater than 大于号“2>1”读作:Two is greater than one.12≮is not less than 不小于号“3≮2”读作:Three is not less than two.13≯is not greater than 不大于号“2≯4” 读作:Two is not greater than four.14≤is less than or equal to 小于或等于号“2≤3”读作:Two is less than or equal to three.≥is greater than or equal to 大于或等于号“5≥4”读作:Five is greater than or equal to four.16%per cent 百分之……“10%”读作:ten percent17‰per mill [mil]; per thousand千分之……“10‰”读作:ten per thousand18∞infinity [ɪn'fɪnɪtɪ] 无限大号“-∞” 读作:negative infinity19∝varies as 与...成比例“X∝Y”读作:X varies as Y20√ ̄square root 平方根“√ ̄16=4”读作:The square root of sixteen is four.213√ ̄cube root 立方根“3√ ̄27=3”读作:The cube root of 27 is 3.∵since; because 因为“∵1+1=2”读作:because one plus one equals two23∴hence; therefore 所以“∴1<2”读作:hence one is less than two24∠angle 角“∠A”读作:angle A“∠A +∠B+∠C=180°”读作:The measure of angle A plus angle B plus angle C equals180 degrees.25⌒semicircle ['semɪsɜːkl]半圆“⌒AB”读作:semicircle AB26⊙circle 圆“⊙A”读作:circle A27○circumference [sə'kʌmf(ə)r(ə)ns] 圆周“○=π×d”读作:Pi multiplied by d equals circumference.πpi constant 圆周率“π×d”读作:pi multiplied by d29△triangle 三角形“△ABC”读作:triangle ABCWhat is the area of triangle ABC? 求三角形ABC的面积。
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university
university
∫ the integral of [ˈ ɪntɪgrəl] n.整体; 积分; …的积分 ∑(sigma) the summation of …的和 ∏(pi) the product of …的积 lim x→ 0 + the limit as x approaches zero from above lim x→ 0 − the limit as x approaches zero from below dy the derivative of y [dɪˈr ɪvətɪv] n.导数,微商 f'( x ) f prime x / f dash x / the (first) derivative of f with respect to x f''( x ) f doublend derivative of f with respect to x f'''( x ) f triple-prime x / f triple-dash x / the third derivative of f with respect to x
Mean Valve Theorem
Theorem: If f’(x) = 0 on [a,b] The f’(x) constant on [a,b]. i.e. f(x) = f(a) for all x belong to (a,b] Proof: Assume there is a special x-value and f(x)≠f(a) Then (f(x)-f(a)) / (x-a) = m ave ≠0 There is a point C in (a,x) with f’(c) = m ave ≠0 Then this contradicts the given fact that f’(x) =0 for all x belong to (a,b) So the assumption f(x) ≠f(a) must be fake and instead, f(x)=f(a) for all x belong to (a,b]. Theorem : [ˈθ ɪərəm] n.定理 i.e. : [ˈa ɪ ˈi:]abbr.(=that is) 即,换言之
middle school
函数: function 幂函数: power function 指数函数:exponential function [ˈekspəˈnen ʃl] adj. 指数的 n. 指数 对数函数:logarithmic function [ˈl ɒɡə'rɪðmɪk] adj.对数的 三角函数:trigonometric function [ˈtr ɪɡənə'metrɪk] adj.三角法的;
x2 x squared/x to the power of 2 x3 x cubed /x to the power of 3 x4 x to the 4th power /x to the power of 4 log x y : x5 x to the 5th power /x to the power of 5 the logarithm (log) of y to the base x …… logarithm ['lɔgə,riðəm]: 对数 ,简称 log MN=M to the Nth power e.g. 34 three to the 4th power n√x nth root (of) x
THANKS~
Mathematical Symbols in English
赵恒祯
Primary school
Primary school
+ :plus (addition n.) - :minus,subtracts
(subtraction n.) × :multiplies,times (multiplication n.) ÷ :divided by (division n.) = :is equal to ≈ :is approximately equal to % :per cent ‰ :per mille <:is less than >:is more than ≤:is less than or equal to ≥:is more than or equal to ≠:is not equal to
middle school
middle school
+ positive sign - minus sign | x | the absolute value of x ∞ infinity ∝ varies as ∵ since; because ∴ hence ≌ congruent [ˈk ɒŋgruənt] ∽ similar ∪ union of ∩ intersection of ∃ there exist ∀ for all p⇒q p implies q / if p, then q p⇔q p if and only if q /p is equivalent to q / p and q are equivalent
一些常用词汇: 这些都是感觉比较容易混淆的常用词,假如看到一道关于图形题目,光一个 rectangle就估计就已经搞不清是什么图形,如果三个小问题分别求area, perimeter, diagonal,除了area还能知道以外那两个那个是周长那个是对角线就郁闷了… 正 positive 负 negative 四舍五入 round (round to…) 定义域 domain, field of definition 值域 range 无穷大 infinite(a.) infinity(n.) 无穷小 infinitesimal [ˈ ɪnfɪnɪˈtes ɪml] 虚数 imaginary number 复数 complex number 锐角 acute angle 直角 right angle 钝角 obtuse angle [əbˈtju:s] 锐角三角形 acute triangle 直角三角形 right triangle 矩形 rectangle 周长 perimeter [pəˈr ɪmɪtə(r)] 对角线 diagonal [daɪˈægənl] 括号 parentheses [pəˈrenθəsi:z]
e.g. ( left parentheses [pəˈrenθəsi:z] 0< x < 1 zero is less ) right parentheses than x is less than 1 [ left bracket zero is less [ˈbræk ɪt] 0≤x≤1 ] right bracket than or equal to x is less { left brace than or equal to 1 [breɪs] } right brace