数学中公式的英文读法
数学中常用的英文单词
数学中常用的英文单词一、代数部分。
1. add [æd] (v.) - 加。
- 例如:Add 3 and 5.(把3和5相加。
)2. subtract [səbˈtrækt] (v.) - 减。
- 例如:Subtract 5 from 8.(从8中减去5。
)3. multiply [ˈmʌltɪplaɪ] (v.) - 乘。
- 例如:Multiply 4 by 6.(4乘以6。
)4. divide [dɪˈvaɪd] (v.) - 除。
- 例如:Divide 10 by 2.(10除以2。
)5. sum [sʌm] (n.) - 和。
- 例如:The sum of 3 and 4 is 7.(3和4的和是7。
)6. difference [ˈdɪfrəns] (n.) - 差。
- 例如:The difference between 8 and 3 is 5.(8和3的差是5。
)7. product [ˈprɒdʌkt] (n.) - 积。
- 例如:The product of 2 and 5 is 10.(2和5的积是10。
)8. quotient [ˈkwəʊʃnt] (n.) - 商。
- 例如:The quotient of 12 divided by 3 is 4.(12除以3的商是4。
)9. variable [ˈveəriəbl] (n.) - 变量。
- 例如:In the equation y = 2x+1, x and y are variables.(在方程y = 2x + 1中,x和y是变量。
)10. constant [ˈkɒnstənt] (n.) - 常量。
- 例如:In the formula C = 2π r, π is a constant.(在公式C=2π r中,π是一个常量。
)11. equation [ɪˈkweɪʒn] (n.) - 方程。
数学式和数学用语的英文读法(数学英语)
→
箭號
arrow
Mathematical Symbols (I) 數學符號 (一)
中文
英文
中文
=
等號
is equal to
≯ 不大於
≠
不等號
is not equal to
% 百分之
≈
約等於
is approximately equal to
‰ 千分之
<
小於
is less than
& 以及
>
大於
is more than
is less than or equal to;
≤
小於等於
is no more than
is more than or equal to;
≥
大於等於
is no less than
≮
不小於
is not less than
Mathematical Symbols (II) 數學符號 (二)
中文
英文
加號 +
1×1=1:
Once one is one.
2×1=2: Twice one is two.
3×5=15: Three times five is fifteen
6×0=0: Multiply six by nothing, and the result is nothing.
(4-4) Division 除法
8,175 (take or subtracted) from 23,654 leaves 15,479.
The difference (or The remainder) is 15,479.
(4-3) Multiplication 乘法
小学数学公式的英文读法分析解析
1.Logic\exists there exist\forall for allp q p implies q / if p, then qp q p if and only if q /p is equivalent to q / p and q are equivalent 2.Setsx∈A x belongs to A / x is an element (or a member) of Ax A x does not belong to A / x is not an element (or a member) of A A B A is contained in B / A is a subset of BA B A contains B / B is a subset of AA∩B A cap B / A meet B / A intersection BA∪B A cup B / A join B / A union BA\B A minus B / the diference between A and BA×B A cross B / the cartesian product of A and B3.Real numbersx+1 x plus onex-1 x minus onex±1 x plus or minus onexy xy / x multiplied by y(x - y)(x + y) x minus y, x plus yx y x over y= the equals signx = 5 x equals 5 / x is equal to 5x≠5 x (is) not equal to 5x≡y x is equivalent to (or identical with) yx ≡ y x is not equivalent to (or identical with) yx > y x is greater than yx≥y x is greater than or equal to yx < y x is less than yx≤y x is less than or equal to y0 < x < 1 zero is less than x is less than 10≤x≤1 zero is less than or equal to x is less than or equal to 1| x | mod x / modulus xx 2 x squared / x (raised) to the power 2x 3 x cubedx 4 x to the fourth / x to the power fourx n x to the nth / x to the power nx n x to the (power) minus nx (square) root x / the square root of xx 3 cube root (of) xx 4 fourth root (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factorialx ^ x hatx ¯ x barx x tildex i xi / x subscript i / x suffix i / x sub i∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i 4.Linear algebra‖x ‖ the norm (or modulus) of xOA → OA / vector OAOA ¯ OA / the length of the segment OAA T A transpose / the transpose of AA 1 A inverse / the inverse of A5.Functionsf( x ) fx / f of x / the function f of xf:S→T a function f from S to Tx→y x maps to y / x is sent (or mapped) to yf'( x ) f prime x / f dash x / the (first) derivative of f with respect to xf''( x ) f double-prime x / f double-dash x / the second derivative of f with respect to x f'''( x ) triple-prime x / f triple-dash x / the third derivative of f with respect to xf^{(4)}( x ) f four x / the fourth derivative of f with respect to xf x_1 the partial (derivative) of f with respect to x1^2 f x_1^2 the second partial (derivative) of f with respect to x_1∫_0^∞ the integral from zero to infinity\underset{x\to 0}\lim the limit as x approaches zero\underset{x\to 0+}\lim the limit as x approaches zero from above\underset{x\to 0-}\lim the limit as x approaches zero from belowlog_e y log y to the base e / log to the base e of y / natural log (of) ylny log y to the base e / log to the base e of y / natural log (of) y一般词汇数学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数字digit数number自然数natural number整数小数de integer cimal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 rootn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(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周长perimeter面积area轨迹locus, loca(pl.)相似similar全等congruent四面体tetrahedron五面体pentahedron六面体hexahedron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专业术语词汇代数部分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cube root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rea lnumber,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directproportion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supplement aryangles补角complement aryangle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cros ssection横截面center of acircle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medianofatriangle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numberline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nickel5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(1gallon=4quart) 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) squaremeasure平方单位制cubicmeter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(leapyear)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打平数学学科名称翻译数学分析Mathematical Analysis实变函数Functions of Real Variable泛函分析Functional Analysis极限分析Limit Analysis复变函数Complex Variables Functions线性代数Linear Algebra高等代数Advanced Algebra近世代数Modern Algebra抽象代数Abstract Algebra集合论与代数结构Set Theory & Algebraical Structure常微分方程Ordinary Differentical Equations偏微分方程Partial Differential Equation偏微分方程数值解Numerical Solution of Partial Differential Equation微分方程Differential Equation微分方程数值解Numerical solution of partial defferential equatio数理方程Mathematical Equations数理方程积分变换Integral Transmission of Mathematical Equation数理方程与特殊函数Equations of Mathmatical Physics & Special Functions 变分法与张量Calculus of Variations & Tensor变分学Calculus of Variations概率论Probability Theory概率与统计Probability & Statistics概率论与数理统计Probability Theory & Mathematical Statistics概率论与随机过程Probability Theory & Stochastic Process随机过程Stochastic Process & Time Series Analysis时间序列Time Sequence统计学Statistics多元统计分析Multi-Variate Statistical Analysis解析几何Analytic Geometry微分几何Defferential Geometry拓朴学Topology计算方法Computational Method数值分析Numerical Analysis数值计算Digital Computation计算力学Computational Mechanics计算力学基础Basis of Computational Mechanics计算流体Fluid Computation有限元法及应用Finite Element & its Application并行算法Parallel Algorithmic运筹学Operational Research最优化Optimum Theory最优化方法Optimal Method最优化基础Basis of Optimum数学规划Mathematical Planning线性规划Linear Programming非线性规划Non-Linear Programming动态规划Dynamic Programming数学模型Mathematical Modening多目标优化方法Multipurpose Optimal Method图论Graph Theory图论算法Algorithm on Graph Theory图论与组合Graphing & Grouping图论与组合优化Graphing & Optimal Grouping 随机运筹学Randomized Operational Research控制理论Theory of Control控制理论基础Elementary Theory of Control线性系统与分析Linear System & Analysis系统建模与响应System Modeling & Response 人工智能Artificial Intelligence最优控制Optimal Control信息论Informatics信息论与编码Informatics & Coding数理逻辑Mathematical Logic离散数学Discrete Mathematics模糊数学Fuzzy MathematicsC语言C LanguageC++程序设计C++ Program Designing。
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。
数学术语英文读法
大额数字的英文念法250000念成Two hundred and fifty thousand大额数字每三位一读,从小到大为:thousand, million, billion. 拿到一个数字,首先从个位开始数出位数,四位为thousand,七位为million,十位为billion。
心里有数了之后,读的时候要从大位开始。
比如:2,567,000首先知道这个数是7位,读的时候以2 million开始,后面每三位就按照平时读法,之后再加上thousand,就好了。
所以读成:two million five hundred and sixty-seven thousand.1,000 a/one thousand1,000,000 a/one million1,000,000,000 a/one billion (美a thousand million)我们中文是4位4位分(万、亿)英语是3位3位分(千、百万、十亿)习惯了就好了数学英文表达3 to the fourth数学mathematics,maths公理axiom定理theorem计算calculation运算operation证明prove假设hypothesis, hypotheses(pl.) 命题proposition定理theorem定义defination算术arithmetic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, difference乘times(prep.), multiply(v.), multiplicatio n(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大于greater than小于less than大于等于equal or greater than小于等于equal or less than运算符operator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 figure代数algebra公式formula, formulae(pl.)单项式monomial多项式polynomial, multinomial系数coefficient未知数unknown等式,方程式equation一次方程linear equation二次方程quadratic equation三次方程cubic equation四次方程quartic equation不等式inequality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set元素element空集empty set子集subset交集intersection并集union补集complement映射mapping函数function 定义域domain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, sequence 微积分calculus微分differentiation导数derivative极限limit无穷infinite(a.) infinity(n.)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直角梯形right trapezoid等腰梯形isosceles trapezoid多边形polygon正多边形equilateral polygon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周长perimeter面积area轨迹locus, loca(pl.)相似similar全等congruent四面体tetrahedron五面体pentahedron六面体hexahedron平行六面体parallelepiped立方体cube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probability分布distribution正态分布normal distribution条形统计图bar graph柱形统计图frequency histogram 折线统计图frequency polygon 曲线统计图curve diagram扇形统计图pie diagram3的4次方3 to the power of 43 to the fourth power5的3次方分之3的5次方3 to the power of 5 over 5 to the power of 3开根号square root of数字(9)代替字母(x)substitute 9 in the equation for x函数function反函数inverse function正比例函数linear function3的4次方= 3 to the power of 45的3次= 5 cubed(对不起,之前弄错了中文太差了><)函数= function二次函数= quadratic function反函数= inverse function正比例函数= linear function加是plus. 减是minus. 乘是times. 除是divide 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(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周长perimeter面积area轨迹locus, loca(pl.)相似similar全等congruent四面体tetrahedron五面体pentahedron六面体hexahedron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 rootn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(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周长perimeter面积area轨迹locus, loca(pl.)相似similar全等congruent四面体tetrahedron五面体pentahedron六面体hexahedron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题目:三加二等于Three add two was equal to六乘以六等于Six are multiplied by six is equal to三的立方是Three cubes are四开方是Four roots arehow much is 3 plus 2?(3+2=?)how much is 5 minus 3?(5-3=?)how much is 5 times 4?(5*4=?)how much is 20 divided by 4?(20/4=?)Three plus two is /makes/equals five有关与数学的英语单词一.数学中常用符号+: plus X: multiply-: subtract ÷: divideV~: square root |...|: absolute value=: is equal to =/=: is not equal to>: is greater than <: is less than//: is parallel to _|_: is perpendicular to>=: is greater than or equal to (或no 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。
数学公式的英文表达
1.Logic∃there ex ist∀for allp⇒q p implies q / if p, then qp⇔q p if and onl y if q /p is equivalent to q / p and q are equi v alent 2.Setsx∈A x bel ongs to A / x is an element (or a member) of Ax∉A x does not bel ong to A / x is not an element (or a member) of A A⊂B A is c ontained in B / A is a subset of BA⊃B A c ontains B / B is a subs et of AA∩B A cap B / A meet B / A i ntersec tion BA∪B A c up B / A join B / A union BA\B A minus B / the diference between A and BA×B A cross B / the cartesi an product of A and B3. Real numbersx+1 x plus onex-1 x minus onex±1 x plus or minus onexy xy / x multiplied by y(x - y)(x + y) x minus y, x plus yx y x ov er y= the equals signx = 5 x equals 5 / x is equal to 5x≠5 x (is) not equal t o 5x≡y x is equi valent to (or identical with) yx ≡ y x is not equi v al ent to (or i dentical with) yx > y x is greater than yx≥y x is greater than or equal to yx < y x is l ess than yx≤y x is less than or equal to y0 < x < 1 z ero is less than x is l ess than 10≤x≤1 zero is less than or equal to x is less than or equal to 1| x | mod x / modulus xx 2 x squared / x (raised) to the power 2x 3 x cubedx 4 x to the fourth / x to the power fourx n x to the nth / x to the power nx −n x to the (power) minus nx(square) root x / the squar e root of xx 3 cube root (of) xx 4 fourth r oot (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factorialx ^ x hatx ¯x barx ˜x tildex i x i / x subscript i / x suffix i / x s ub i∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i 4. Li near algebra‖x‖the nor m (or modulus) of xOA → OA / vector OAOA ¯OA / the length of the s egment OAA T A transpose / the tr anspose of AA −1 A i nv erse / the inverse of A5. Functionsf( x ) fx / f of x / the func tion f of xf:S→T a function f from S to Tx→y x maps to y / x is sent (or mapped) to yf'( x ) f pri me x / f das h x / the (first) deri v ati ve of f with respect to xf''( x ) f doubl e-prime x / f doubl e-das h x / the sec ond derivati v e of f with res pect to x f'''( x ) triple-prime x / f triple-dash x / the third deri v ati ve of f with respect to xf (4) ( x ) f four x / the fourth deri v ati ve of f with respect to x∂f ∂ x 1 the partial (deri v ati ve) of f with res pec t to x1∂ 2 f ∂ x 1 2 the s econd par tial (derivati v e) of f with respect to x1∫ 0 ∞ the integral from zero to infinitylim x→0 the li mit as x approaches zerolim x→ 0 + the li mit as x approaches zero from abovelim x→ 0 − the li mit as x approach es zero from belowlog e y log y to the base e / log to the base e of y / natural l og (of) ylny log y to the base e / l og to the bas e e of y / natural log (of) y一般词汇数学mathematics, maths(BrE), math(AmE)公理ax i om定理theorem计算calculation运算operation证明prov e假设hypothesis, hypothes es(pl.)命题propositi on算术arithmetic加plus(prep.), add(v.), additi on(n.)被加数augend, s ummand加数addend和sum减minus(pr ep.), s ubtract(v.), subtracti on(n.) 被减数minuend减数subtrahend差remainder乘times(prep.), multipl y(v.), multi plication(n.) 被乘数multiplicand, faci end乘数multiplicator积produc t除div ided by(prep.), div i de(v.), di v ision(n.)被除数div idend除数div isor商quotient等于equals, is equal to, is equi valent 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 less er than运算符operator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denomi nator比ratio正positi v e负negati v e零null, zero, nought, nil十进制decimal s y stem二进制binar y s y stem十六进制hex adeci mal s y stem权weight, significance进位carry截尾truncati on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formul a, formulae(pl.)单项式monomial多项式pol y nomi al, multinomial系数coefficient未知数unk nown, x-factor, y-factor, z-factor 等式,方程式equation一次方程simple equati on二次方程quadratic equation三次方程cubic equation四次方程quartic equati on不等式inequati on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evoluti on, ex trac tion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 rootn次方根the root of n, the nth root集合aggregate元素element空集v oi d子集subset交集intersection并集union补集complement映射mapping函数functi on定义域domain, field of definition值域range常量constant变量v ariable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极限limit无穷大infinite(a.) i nfinity(n.)无穷小infinitesi mal积分integral定积分definite integral不定积分indefi nite i ntegral有理数rational number无理数irrational number实数real number虚数imaginar y number复数complex number矩阵matri x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Pythagor ean 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平行四边形parallelogram 矩形rectangle长length宽width。
数学符号、公式的英语读法
数学符号和公式的英语读法如下:1.加号"+" 读作"plus"。
2.减号"-" 读作"minus"。
3.乘号"×" 读作"times"。
4.除号"÷" 读作"divided by"。
5.等号"=" 读作"equals"。
6.大于号">" 读作"greater than"。
7.小于号"<" 读作"less than"。
8.不等号"≠" 读作"not equal to"。
9.大于等于号"≥" 读作"greater than or equal to"。
10.小于等于号"≤" 读作"less than or equal to"。
11.约等于号"≈" 读作"approximately equals"。
12.百分号"%" 读作"percent"。
13.度数符号"°" 读作"degree"。
14.开方号"√" 读作"square root"。
15.正负号"±" 读作"plus or minus"。
16.正负平方根号"∛" 读作"cubed root"。
17.正负立方根号"∛" 读作"cubed root"。
英语数学公式、数字、符号的表达法
英语数学公式、数字、符号的表达法!轩治峰(商丘师范学院外语系商丘市!"#$$$)摘要本文主要解决理科专业英语和双语教学中英语算式、方程式、公式中的数字、符号、等式及公式的表达方法。
方法为查阅各种有关资料,收集其表达和读法。
通过查阅资料,本文记述了算术四则运算、分数、小数、比例、乘方、开方、对数、三角函数、集合、函数、几何、微积分等的符号、数字和公式的表达方法和读法,为科技英语教学和学习提供参考。
关键词数学符号算式公式表达法!"#$%&’$%&’()*(+,’+-.&/,(0(’*/,.+-/12+)..&’’3(*’,,/+1,+-.&’,456+7,,,/81,,0121)56’*,+-50.&’50./9,/1:187/,&.’09&/18;%&’0).&+*&0,8+1’.&*+)8&.&’<0*/+),=/12,+-.’3.6++=,+150.&’> 50./9,,,)9&0,0*/.&5’./9,8’+5’.*4,078’6*0,9079)7),,-)19./+1,012+.&’**’-’*’19’6++=,0129+77’9.’2 077.4(’,+-’3(*’,,/+1,,0,?’770,(*+1)19/0./+1,,+-,456+7,,,/81,0121)56’*,/1.&’’@)0./+1,+-50.&>’50./9,012+.&’*,9/’19’,,/1&+(’+-+--’*/18,+5’&’7(.+7’0*1/18012.’09&/18:187/,&/150.&’50./9,+* ,9/’1./-/9:187/,&;()*+,%-#50.&’50./9,,456+7,012,/81,’@)0./+1,-+*5)70’3(*’,,/+1,在大学中,越来越多的学科在尝试英汉双语教学,高年级大学英语也朝专业英语方向发展,而且,在理科学科中,数学、物理等课程中的算式、方程式以及公式是最基本的表达形式。
常用数学符号读法及其含义
常⽤数学符号读法及其含义最近打算了解⼀些数学概率统计⽅⾯的知识,加上paper⾥总是有各种数学公式,搜索到这篇⽂章,感觉挺全的,做个备忘!感谢原作者~⼤写⼩写英⽂注⾳国际⾳标注⾳中⽂注⾳Αα alpha alfa 阿⽿法Ββ beta beta 贝塔Γγ gamma gamma 伽马Δ δ deta delta 德⽿塔Εε epsilon epsilon 艾普西隆Ζζ zeta zeta 截塔Ηη eta eta 艾塔Θθ theta θita 西塔Ιι iota iota 约塔Κκ kappa kappa 卡帕∧λ lambda lambda 兰姆达Μ µ mu miu 缪Νν nu niu 纽Ξξ xi ksi 可塞Οο omicron omikron 奥密可戎∏π pi pai 派Ρρ rho rou 柔∑ σ sigma sigma 西格马Ττ tau tau 套Υυ upsilon jupsilon ⾐普西隆Φφ phi fai 斐Χχ chi khai 喜Ψψ psi psai 普西Ωω omega omiga 欧⽶伽符号含义i -1的平⽅根f(x) 函数f在⾃变量x处的值sin(x) 在⾃变量x处的正弦函数值exp(x) 在⾃变量x处的指数函数值,常被写作exa^x a的x次⽅;有理数x由反函数定义ln x exp x 的反函数ax 同 a^xlogba 以b为底a的对数; blogba = acos x 在⾃变量x处余弦函数的值tan x 其值等于 sin x/cos xcot x 余切函数的值或 cos x/sin xsec x 正割含数的值,其值等于 1/cos xcsc x 余割函数的值,其值等于 1/sin xasin x y,正弦函数反函数在x处的值,即 x = sin yacos x y,余弦函数反函数在x处的值,即 x = cos yatan x y,正切函数反函数在x处的值,即 x = tan yacot x y,余切函数反函数在x处的值,即 x = cot yasec x y,正割函数反函数在x处的值,即 x = sec yacsc x y,余割函数反函数在x处的值,即 x = csc yθ⾓度的⼀个标准符号,不注明均指弧度,尤其⽤于表⽰atan x/y,当x、y、z⽤于表⽰空间中的点时i, j, k 分别表⽰x、y、z⽅向上的单位向量(a, b, c) 以a、b、c为元素的向量(a, b) 以a、b为元素的向量(a, b) a、b向量的点积a•b a、b向量的点积(a•b) a、b向量的点积|v| 向量v的模|x| 数x的绝对值Σ表⽰求和,通常是某项指数。
初中数学名词中英文对照
初中数学名词中英文对照一、数学基本名词1. 数学(Mathematics):研究数量、结构、变化以及空间和随机性等概念的一门学科。
2. 数学符号(Mathematical notation):用于表示数学概念、运算、关系和变量的特殊符号或标记。
3. 数(Number):表示数量、大小或顺序的概念。
4. 计算(Computation):使用数学运算符号进行数值计算的过程。
5. 公式(Formula):用符号表示数学关系的语句。
6. 方程(Equation):含有一个或多个未知数的等式。
7. 几何(Geometry):研究空间形状、大小和属性的数学分支。
8. 代数(Algebra):使用符号和变量来表示数值关系和运算的数学分支。
二、数的基本概念1. 自然数(Natural number):从1开始的正整数。
2. 整数(Integer):包括负整数、零和正整数的集合。
3. 有理数(Rational number):可以表示为两个整数的比值的数。
4. 实数(Real number):包括有理数和无理数的集合。
5. 虚数(Imaginary number):表示为实数与虚数单位i的乘积的数。
三、基本运算1. 加法(Addition):将两个或多个数合并为一个数的运算。
2. 减法(Subtraction):从一个数中减去另一个数的运算。
3. 乘法(Multiplication):将两个或多个数相乘的运算。
4. 除法(Division):将一个数分成若干等分的运算。
5. 幂(Exponentiation):将一个数乘以自身若干次的运算。
四、几何形状1. 点(Point):空间中没有大小和形状的位置。
2. 直线(Line):由一组无限延伸的点构成的路径。
3. 面(Surface):由一组相邻的线构成的平坦区域。
4. 角(Angle):由两条射线共享一个端点而形成的图形。
5. 圆(Circle):由等距离于中心的点构成的闭合曲线。
数学式和数学用语的英文读法(数学英语)
数学式和数学用语的英文读法(数学英语)數學式和數學用語的英文讀法、Number 數字106: one million109: one billion (or one thousand million)1012: one trillion (or one million million)1015: one quadrillion(or one thousand million million)1018: one quintillion (or one million million million)123,456,789:one hundred and twenty three million, four hundred and fifty-six thousand, seven hundred and eighty-nine 12,345,678,900,000:twelve trillion, three hundred and forty five billion, six hundred and seventy-eight million, nine hundred thousand18: minus eighteen二、Fractions 分數通常將分子讀為基數,將分母讀為序數。
1/2: a (or one) half1/3: a (or one) third1/4: a quarter or one fourth1/5: a (or one) fifth2/3: two thirds, two over three, or two by three9/10: nine tenths, nine over ten, or nine by ten53/4: five and three quarters15/64: fifteen over (or by) sixty-four15%: fifteen per cent4‰: four per mill (or mil)三、Decimals 小數0.4: zero (or naught) point four.01: point (or decimal) naught (or oh) one12.34: twelve point three four567.809: five hundred and sixty-seven point eight naught (or oh) nine30.45: thirty point four five,0.3333333…..: point three repeating (or recurring)0.3%: point (or decimal) three percent四、Mathematic Forms 數學式(4-1) Addition 加法1+2=3: One and two are three.2+3=5: Two plus three equals five.4+0=4: Four and naught is equal to four.45+70+152=267: 45, 70 and 152 added are (or make) 267 the sum (or total) is 267.(4-2) Subtraction 減法9-4=5: Nine minus four equals (or is equal to) five.15-7=8: Seven from fifteen leaves eight.23,654-8,175=15,479:8,175 (take or subtracted) from 23,654 leaves 15,479.The difference (or The remainder) is 15,479.(4-3) Multiplication 乘法1×0=0: One multiplied by naught equals naught.1×1=1: Once one is one.2×1=2: Twice one is two.3×5=15: Three times five is fifteen6×0=0: Multiply six by nothing, and the result is nothing.(4-4) Division 除法9÷3=3: Nine divided by three makes (or is equal to) three.20÷5=4: Five into twenty goes four times.4567÷23=198 餘 13: 23 into 4567 goes 198 times, and 13 remainder.The quotient is 198, and 13 remainder.五、Power 冪次方b n當中,b被稱為底數(base),n被稱為指數(power or exponent)b n: the n th power of b或 b to the n th power.a?107: a times the seventh power of ten.b的平方: b square or b squaredb的立方: b cube or b cubedb的4次方: b to the fourthb的-1次方: b to the minus one六、Time 時間(6-1) Hours 鐘點2h.5'8": two hours five minutes eight seconds 2小時5分8秒6.18: six eighteen 6時18分8.30 a.m.: eight thirty a.m. 上午8時30分the 6.05 p.m. train: the six (naught) five p.m. train 下午6時零5分列車又二十四小時混合制的寫法和讀法如下:0900: 0 nine hundred (上午)9時0910: 0 nine ten (上午)9時10分1300: thirteen hundred 13時(下午1時)1525: fifteen twenty-five 15時25分(下午3時25分)2000: twenty hundred 20時(下午8時)at 5 o'clock: at five o'clock 五點鐘(6-2) Date 日期Oct.1: October first 10月1日Oct.1st: October the first 10月1日1st Oct. 1949: the first of October, nineteen forty-nine 1949年10月1日3/5: [英] May (the) third 5月3日;[美]March fifth 3月5日684 B.C.: Six eighty-four B.C. 西元前684年106 A.D: one oh six A.D. 西元106年1960: nineteen sixty; nineteen hundred and sixty19-: nineteen something1950's: nineteen fifties 二十世紀五十年代60's: sixties 本世紀60年代45 度角: forty-five degree angle二元一次方程式:linear (or simple) equation with two unknowns一元二次方程式: quadratic equation with one unknown$4.25: four dollars twenty-five cents 四元二十五分 (大小單位之間不必加 and)15 ft. 5 in: fifteen foot five (inches) 十五英尺五英寸20 gal. 5 qt.: Twenty gallons five quarts 二十加侖五夸脫10×8 feet: ten by eight feet 十英尺長,八英尺寬5"×4×2 1/2: five inches by four by two and a half 長五英寸,寬四英寸,高二英寸半Punctuation Marks 標點符號中文英文§ 分節號 section; division。
常用数学公式的英语表述
常用的数学英语表述1.Logic∃there exist∀for allp⇒q p implies q / if p, then qp⇔q p if and only if q /p is equival ent to q / p and q are equival ent 2.Setsx∈A x belongs to A / x is an element (or a member)of Ax∉A x does not belongto A / x is not an element (or a member)of A A⊂B A is contain ed in B / A is a subsetof BA⊃B A contain s B / B is a subsetof AA∩B A cap B / A meet B / A interse ctionBA∪B A cup B / A join B / A union BA\B A minus B / the diferen ce between A and BA×B A cross B / the cartesi an product of A and B3. Real numbersx+1 x plus onex-1 x minus onex±1 x plus or minus onexy xy / x multipl ied by y(x - y)(x + y) x minus y, x plus yx y x over y= the equalssignx = 5 x equals5 / x is equal to 5x≠5x (is) not equal to 5x≡y x is equival ent to (or identic al with) yx≡y x is not equival ent to (or identic al with) yx > y x is greater than yx≥y x is greater than or equal to yx < y x is less than yx≤y x is less than or equal to y0 < x < 1 zero is less than x is less than 10≤x≤1zero is less than or equal to x is less than or equal to 1 | x | mod x / modulus xx 2 x squared / x (raised)to the power 2x 3 x cubedx 4 x to the fourth/ x to the power fourx n x to the nth / x to the power nx−n x to the (power) minus nx (square) root x / the squareroot of xx 3 cube root (of) xx 4 fourthroot (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factori alx ^ x hatx ¯x barx˜x tildex i xi / x subscri pt i / x suffixi / x sub i∑i=1 n a i the sum from i equalsone to n a i / the sum as i runs from 1 to n of the a i4. Linearalgebra‖x ‖ the norm (or modulus) of xOA→ OA / vectorOAOA ¯ OA / the lengthof the segment OAA T A transpo se / the transpo se of AA −1 A inverse/ the inverse of A5. Functio nsf( x ) fx / f of x / the functio n f of xf:S→T a functio n f from S to Tx→y x maps to y / x is sent (or mapped)to yf'( x ) f prime x / f dash x / the (first) derivat ive of f with respect to xf''( x ) f double-prime x / f double-dash x / the secondderivat ive of f with respect to xf'''( x ) triple-prime x / f triple-dash x / the third derivat ive of f with respect to xf (4) ( x ) f four x / the fourthderivat ive of f with respect to x∂f∂x1 the partial (derivat ive) of f with respect to x1∂2 f∂x1 2 the secondpartial (derivat ive) of f with respect to x1∫0 ∞ the integra l from zero to infinit ylimx→0 the limit as x approac hes zerolimx→0 + the limit as x approac hes zero from abovelimx→0 − the limit as x approac hes zero from belowlog e y log y to the base e / log to the base e of y / natural log (of) y lny log y to the base e / log to the base e of y / natural log (of) y一般词汇数学 mathema tics, maths(BrE), math(AmE)公理axiom定理 theorem计算 calcula tion运算 operati on证明prove假设hypothe sis, hypothe ses(pl.)命题 proposi tion算术 arithme tic加 plus(prep.), add(v.), additio n(n.)被加数 augend, summand加数 addend和sum减 minus(prep.), subtrac t(v.), subtrac tion(n.) 被减数 minuend减数 subtrah end差 remaind er乘times(prep.), multipl y(v.), multipl icatio n(n.) 被乘数 multipl icand, faciend乘数 multipl icator积 product除 divided by(prep.), divide(v.), divisio n(n.) 被除数 dividen d除数 divisor商 quotien t等于 equals, is equal to, is equival ent to大于 is greater than小于 is lesserthan大于等于 is equal or greater than小于等于 is equal or lesserthan运算符 operato r数字digit数 number自然数 natural number整数integer小数 decimal小数点 decimal point分数 fractio n分子 numerat or分母 denomin ator比ratio正 positiv e负 negativ e零 null, zero, nought,nil十进制 decimal system二进制 binarysystem十六进制 hexadec imal system权 weight, signifi cance进位carry截尾 truncat ion四舍五入round下舍入round down上舍入round up有效数字 signifi cant digit无效数字 insigni ficant digit代数 algebra公式 formula, formula e(pl.)单项式 monomia l多项式 polynom ial, multino mial系数 coeffic ient未知数 unknown, x-factor, y-factor, z-factor等式,方程式 equatio n一次方程 simpleequatio n二次方程 quadrat ic equatio n三次方程 cubic equatio n四次方程 quartic equatio n不等式inequat ion阶乘 factori al对数 logarit hm指数,幂 exponen t乘方power二次方,平方 square三次方,立方cube四次方 the power of four, the fourthpower n次方the power of n, the nth power开方 evoluti on, extract ion二次方根,平方根 squareroot三次方根,立方根cube root四次方根 the root of four, the fourthroot n次方根the root of n, the nth root集合 aggrega te元素 element空集void子集 subset交集 interse ction并集union补集 complem ent映射 mapping函数 functio n定义域 domain, field of definit ion值域range常量 constan t变量 variabl e单调性 monoton icity奇偶性 parity周期性 periodi city图象image数列,级数 series微积分 calculu s微分 differe ntial导数 derivat ive极限limit无穷大 infinit e(a.) infinit y(n.) 无穷小 infinit esimal积分 integra l定积分 definit e integra l不定积分 indefin ite integra l 有理数 rationa l number无理数 irratio nal number实数 real number虚数 imagina ry number复数 complex number矩阵 matrix行列式 determi nant几何 geometr y点point线line面plane体solid线段 segment射线 radial平行 paralle l相交 interse ct角angle角度 degree弧度 radian锐角acute angle直角right angle钝角 obtuseangle平角 straigh t angle周角 perigon底base边side高 height三角形 triangl e锐角三角形 acute triangl e直角三角形 right triangl e直角边leg斜边 hypoten use勾股定理 Pythago rean theorem钝角三角形 obtusetriangl e不等边三角形scalene triangl e等腰三角形 isoscel es triangl e等边三角形 equilat eral triangl e四边形 quadril ateral平行四边形 paralle logram矩形 rectang le长 length宽width附:在一个分数里,分子或分母或两者均含有分数。
数学公式的英文读法
数学公式的英文读法&数学英文词汇1.Logic∃ there exist∀ for allp⇒q p implies q / if p, then qp⇔q p if and only if q /p is equivalent to q / p and q are equivalent2.Setsx∈A x belongs to A / x is an element (or a member) of Ax∉A x does not belong to A / x is not an element (or a member) of AA⊂B A is contained in B / A is a subset of BA⊃B A contains B / B is a subset of AA∩B A cap B / A meet B / A intersection BA∪B A cup B / A join B / A union BA\B A minus B / the diference between A and BA×B A cross B / the cartesian product of A and B3. Real numbersx+1 x plus onex-1 x minus onex±1 x plus or minus onexy xy / x multiplied by y(x - y)(x + y) x minus y, x plus yx y x over y= the equals signx = 5 x equals 5 / x is equal to 5x≠5 x (is) not equal to 5x≡y x is equivalent to (or identical with) yx ≡ y x is not equivalent to (or identical with) yx > y x is greater than yx≥y x is greater than or equal to yx < y x is less than yx≤y x is less than or equal to y0 < x < 1 zero is less than x is less than 10≤x≤1 zero is less than or equal to x is less than or equal to 1 | x | mod x / modulus xx 2 x squared / x (raised) to the power 2x 3 x cubedx 4 x to the fourth / x to the power fourx n x to the nth / x to the power nx −n x to the (power) minus nx (square) root x / the square root of xx 3 cube root (of) xx 4 fourth root (of) xx n nth root (of) x( x+y ) 2 x plus y all squared( x y ) 2 x over y all squaredn! n factorialx ^ x hatx ¯ x barx ˜ x tildex i xi / x subscript i / x suffix i / x sub i∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs from 1 to n of the a i4. Linear algebra‖ x ‖ the norm (or modulus) of xOA → OA / vector OAOA ¯ OA / the length of the segment OAA T A transpose / the transpose of AA −1 A inverse / the inverse of A5. Functionsf( x ) fx / f of x / the function f of xf:S→T a function f from S to Tx→y x maps to y / x is sent (or mapped) to yf'( x ) f prime x / f dash x / the (first) derivative of f with respect to xf''( x ) f double-prime x / f double-dash x / the second derivative of f with respect to xf'''( x ) triple-prime x / f triple-dash x / the third derivative of f with respect to xf (4) ( x ) f four x / the fourth derivative of f with respect to x∂f ∂ x 1 the partial (derivative) of f with respect to x1∂ 2 f ∂ x 1 2 the second partial (derivative) of f with respect to x1 ∫ 0 ∞ the integral from zero to infinitylimx→0 the limit as x approaches zerolimx→ 0 + the limit as x approaches zero from abovelimx→ 0 − the limit as x approaches zero from belowlog e y log y to the base e / log to the base e of y / natural log (of) ylny log y to the base e / log to the base e of y / natural log (of) y -证明题 (站内联系TA)一般词汇数学 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(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周长 perimeter面积 area轨迹 locus, loca(pl.)相似 similar全等 congruent四面体 tetrahedron五面体 pentahedron六面体 hexahedron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证明题 (站内联系TA)专业术语词汇代数部分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proper subset真子集solution set解集有关代数式、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complexfraction繁分数numerator分子denominator分母(least)commondenominator(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cube root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|四舍五入有关数论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rea lnumber,rational number实数,有理数irrational(number)无理数inverse倒数composite number合数质数 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median中数common ratio公比数列arithmetic progression(sequence)等差数列geometric progression(sequence)等比数列其它approximate近似(anti)clockwise(逆)顺时针方向cardinal基数ordinal序数directproportion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supplement aryangles补角complement aryangle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inscribedtriangle内接三角形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cros ssection横截面center of acircle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medianofatriangle 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numberline数轴quadrant象限slope斜率complex plane复平面其它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多边的其它单位类cent美分penny一美分硬币nickel5美分硬币dime一角硬币dozen打(12个)score廿(20个摄氏Fahrenheit华氏quart夸脱gallon加仑码meter米micron微米inch英寸foot英尺minute分(角度的度量单位,60分=1度平方单位制cubicmeter立方米pint品脱(干量或液量的单位有关文字叙述题,主要是有关商业intercalary year(leapyear)闰年(366天平年(365天折旧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打平。
数学方程式。符号。以及读法
数学方程式满意回答2013-04-05 14:04三角不等式|a+b|≤|a|+|b| |a-b|≤|a|+|b| |a|≤b<=>-b≤a≤b |a-b|≥|a|-|b| -|a|≤a≤|a| 一元二次方程的解-b+√(b2-4ac)/2a -b-b+√(b2-4ac)/2a 根与系数的关系X1+X2=-b/a X1*X2=c/a 注:韦达定理判别式b2-4a=0 注:方程有相等的两实根b2-4ac>0 注:方程有一个实根b2-4ac<0 注:方程有共轭复数根三角函数公式两角和公式sin(A+B)=sinAcosB+cosAsinB sin(A-B)=sinAcosB-sinBcosA cos(A+B)=cosAcosB-sinAsinB cos(A-B)=cosAcosB+sinAsinB tan(A+B)=(tanA+tanB)/(1-tanAtanB) tan (A-B)=(tanA-tanB)/(1+tanAtanB) ctg(A+B)=(ctgActgB-1)/(ctgB+ctgA) ctg(A-B)=(ctg ActgB+1)/(ctgB-ctgA) 倍角公式tan2A=2tanA/(1-tan2A) ctg2A=(ctg2A-1)/2ctga co s2a=cos2a-sin2a=2cos2a-1=1-2sin2a 半角公式sin(A/2)=√((1-cosA)/2) sin(A/2)=-√((1-cosA)/2) cos(A/2)=√((1+cosA)/2) cos(A/2)=-√((1+cosA)/2) tan(A/2)=√((1-cosA)/((1+cosA)) tan(A/2)=-√((1-cosA)/((1+cosA)) ctg(A/2)=√((1+cosA)/((1-cosA)) ctg(A/2)=-√((1+cosA)/((1-cosA)) 和差化积2sinAcosB=sin(A+B)+sin(A-B) 2cosAsinB =sin(A+B)-sin(A-B) 2cosAcosB=cos(A+B)-sin(A-B) -2sinAsinB=cos(A+B)-cos(A-B) sinA+sinB=2sin((A+B)/2)cos((A-B)/2 cosA+cosB=2cos((A+B)/2)sin((A-B)/2) tanA +tanB=sin(A+B)/cosAcosB tanA-tanB=sin(A-B)/cosAcosB ctgA+ctgBsin(A+B)/sin AsinB -ctgA+ctgBsin(A+B)/sinAsinB 某些数列前n项和1+2+3+4+5+6+7+8+9+…+n=n(n+1)/2 1+3+5+7+9+11+13+15+…+(2n-1)=n*2 2+4+6+8+10+12+14+…+(2n) =n(n+1) 12+22+32+42+52+62+72+82+…+n2=n(n+1)(2n+1)/6 13+23+33+43+53+ 63+…n3=n2(n+1)2/4 1*2+2*3+3*4+4*5+5*6+6*7+…+n(n+1)=n(n+1)(n+2)/3 正弦定理a/sinA=b/sinB=c/sinC=2R 注:其中R 表示三角形的外接圆半径余弦定理b2=a2+c2-2accosB 注:角B是边a和边c的夹角圆的标准方程(x-a)2+(y-b)2=r2 注:(a,b)是圆心坐标圆的一般方程x2+y2+Dx+Ey+F=0 注:D2+E2-4F>0 抛物线标准方程y2=2px y2=-2px x2=2py x2=-2py 直棱柱侧面积S=c*h 斜棱柱侧面积S=c'*h 正棱锥侧面积S=1/2c*h' 正棱台侧面积S=1/2(c+c')h' 圆台侧面积S=1/ 2(c+c')l=pi(R+r)l 球的表面积S=4pi*r2 圆柱侧面积S=c*h=2pi*h 圆锥侧面积S=1/ 2*c*l=pi*r*l 弧长公式l=a*r a是圆心角的弧度数r >0 扇形面积公式s=1/2*l*r 锥体体积公式V=1/3*S*H 圆锥体体积公式V=1/3*pi*r2h 斜棱柱体积V=S'L 注:其中, S'是直截面面积,L是侧棱长柱体体积公式;V=s*h 圆柱体V=pi*r2hα——阿尔法β——贝塔γ——伽马Δ——德尔塔ξ——可sei ψ——可赛ω——奥秘噶μ——米哟λ——南木打σ——西格玛τ——套φ——fai2、数学运算符:∑—连加号∏—连乘号∪—并∩—补∈—属于∵—因为∴—所以√—根号‖—平行⊥—垂直∠—角⌒—弧⊙—圆∝—正比于∞—无穷∫—积分≈—约等≡—恒等3、三角函数:sin—赛因cos—考赛因tan—叹近体cot—考叹近体sec—赛看近体csc —考赛看近体大写小写英文注音国际音标注音中文注音Α α alpha alfa 阿耳法Β β beta beta 贝塔Γ γ gamma gamma 伽马Δδ deta delta 德耳塔Ε ε epsilon epsilon 艾普西隆Ζ ζ zeta zeta 截塔Η η eta eta 艾塔Θ θ theta θita 西塔Ι ι iota iota 约塔Κ κ kappa kappa 卡帕∧ λ lambda lambda 兰姆达Μ μ mu miu 缪Ν ν nu niu 纽Ξ ξ xi ksi 可塞Ο ο omicron omikron奥密可戎∏ π pi pai 派Ρ ρ rho rou 柔∑ σ sigma sigma 西格马Τ τ tau tau 套Υ υ upsilon jupsilon 衣普西隆Φ φ phi fai 斐Χ χ chi khai 喜Ψ ψ psi psai 普西Ω ω omega omiga 欧米伽常用数学输入符号:≈ ≡ ≠ =≤≥ <>≮ ≯ ∷ ± +-× ÷ /∫ ∮ ∝ ∞ ∧ ∨ ∑ ∏ ∪ ∩ ∈ ∵ ∴ ⊥ ‖ ∠ ⌒ ≌ ∽ √ ()【】{}Ⅰ Ⅱ ⊕ ⊙∥α β γ δ ε ζ η θ Δ大写小写英文国际音标中文注音Αα alpha alfa 阿耳法Β β beta beta 贝塔Γ γ gamma gamma 伽马Δ δ deta delta 德耳塔Ε ε epsilon epsilon 艾普西隆Ζ ζ zeta zeta 截塔Η η eta eta 艾塔Θ θ theta θita 西塔Ι ι iota iota 约塔Κ κ kappa kappa 卡帕∧ λ lambda lambda 兰姆达Μ μ mu miu 缪Ν ν nu niu 纽Ξ ξ xi ksi 可塞Ο ο omicro n omikron 奥密可戎∏ π pi pai 派Ρ ρ rho rou 柔∑ σ sigma sigma 西格马Τ τ tau tau 套Υ υ upsilon jupsilon 衣普西隆Φ φ phi fai 斐Χ χ chi khai 喜Ψ ψ psi psai 普西Ω ω omega omiga 欧米符号含义i -1的平方根f(x) 函数f在自变量x处的值sin(x) 在自变量x处的正弦函数值exp(x) 在自变量x处的指数函数值,常被写作exa^x a的x次方;有理数x由反函数定义ln x exp x 的反函数ax 同 a^xlogba 以b为底a的对数; blogba = acos x 在自变量x处余弦函数的值tan x 其值等于 sin x/cos xcot x 余切函数的值或 cos x/sin xsec x 正割含数的值,其值等于 1/cos xcsc x 余割函数的值,其值等于 1/sin xasin x y,正弦函数反函数在x处的值,即 x = sin yacos x y,余弦函数反函数在x处的值,即 x = cos yatan x y,正切函数反函数在x处的值,即 x = tan yacot x y,余切函数反函数在x处的值,即 x = cot yasec x y,正割函数反函数在x处的值,即 x = sec yacsc x y,余割函数反函数在x处的值,即 x = csc yθ 角度的一个标准符号,不注明均指弧度,尤其用于表示atan x/y,当x、y、z用于表示空间中的点时i, j, k 分别表示x、y、z方向上的单位向量(a, b, c) 以a、b、c为元素的向量(a, b) 以a、b为元素的向量(a, b) a、b向量的点积a•b a、b向量的点积(a•b) a、b向量的点积|v| 向量v的模|x| 数x的绝对值Σ 表示求和,通常是某项指数。
最全面最标准的数学符号、公式的英语读法大全
【国际课程】最全面最标准的数学符号、公式的英语读法大全
"+"当作运算符加号时读作plus,比如:
1+2 ➡️ one plus two
当"+"放在数字前表示正数时,读作positive,比如:
+4 ➡️ positive four
同样,“-”也有minus和negative两种读法,分别是减号和负数。
"×"两种读法都可以,国外的教授会常常读成times,可能因为比较简单吧,比如:
9x6 ➡️ nine times six
“÷”只有一种读法divided by,就是被…分成几份
1y three
注意:
其中plus和minus是不用第三人称单数形式的,因为plus和minus根本就不是动词,而是介词。
但是乘和除,的的确确是动词,出现第三人称单数的形式。
常见数学公式和符号的英文读法大全
) 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
≤ 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
○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
// 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
Ττ:套 Tau
英文,常用数学符号、公式和等式的读法
英⽂,常⽤数学符号、公式和等式的读法⼀、常⽤数学符号、公式和等式的读法+ 加号,加 plus+ 正号 positive- 减号,减 minus- 负号,负 negetive± 加或减 plus or minus± 正或负 plus or minus2 乘 multiplied by times into÷ 除 divided by: ⽐ proportional to= 等号 equal sign= 等于 to equal,to equals> ⼤于 greater than< ⼩于 less than⼤于等于 greater than or equal⼩于等于less than or equal≡恒等于 identical with≈约等于 approximately equal≌全等于 congruent~等价于 equivalent to;相似于 similar to→趋近于 approaches( ) 括号,括弧 1) parentheses;parenthesis;sign parenthesis圆括号,圆括弧 2) round brackets[ ] ⽅括号1) squre [angular] brackets括号2) brackets{ } 花括号 braces∑ 求和summstion of;sigma从1到n的和 the sum form i equalsone to n;sigma从1到n的积 the product form i equalsone to nx1 +x2+x3+ΛΛ x one x two plus x three,etc(et cetera)a=b 1) a equals to b2) a is equal to b3) a is ba≠b a is not equal to b;a is not ba>b a is greater than baa?b a is greater than or equal to ba?b a is less than or equal to ba≈b a approximately equal (s) ba∝b a varies directly as b;a is (directly) proportional to ba∈A a is member of set AA?B A is contained in B;A is a proper subset of B AIB A intersection B AYB A union{ }或φ empty setimpliesis equivalent to xRy x is in the relation R to y a±b a plus or minus b (a+b)(a-b) a plus b,a minus b(a+b)2 a plus b all squared(a÷b)2 a over b all squaredn! n factorial;factorial na% a persent|a| mod a;modulus ax→∞ x approaches infinity0< x0?x?a zero is less than or equal to x is less than or equal to ac=a.b 1)c equals (is equal to) a multiplied by b2) c equals a times b1:2 the ratio of one to two1/2 a half;one half1/3 a third;one third1/100 a[one] hundredth1/1000 a[one] thousandth0.1(.1) zero point one;nought point one0.01(.01) zero point zero one;nought point nought one3.1416 three point one four one six14. one four point one four,one four recurringa:b the ratio of a to ba:b=c 1) a devided by b equals c2) a devided by b is c3)the ratio of a to b is ca:b=c:d 1) the ratio of a to b equals the ratio of c to d2) a is to b as c is to da+b>c a plus b is greater then ca+b< then b plus>a+b=c a plus b is (are;equals;is equal to) ca-b=c a minus b(b from a) is(equals;is equal to;leaves) c (a,b) a[a,b]a?x?b the closed interval from a to b(a,b) the interval a[a,b] the interval a?xaa?x?b a is less then or equal to x is less then or equal to blogax logarithm (base) of xlnx natural logarithm of xx2 1)x square;x squured2) x to the second power3) x raised to the second power4) the square of x5) the second power of x6) x to the secondx3 1)x cube;x cubed2) x to the third power3) x raised to the third power4) the cube of x5) the third power of x6) x to the thirdx n 1)x to the n-th power2) x raised to the n-th power3) the n-th power of x4) x to the n-thx-n 1) x to the minus n-th2) x to the minus n-th powerradical=b 1) the square root of a is(equals) b 2) the square root out of a is(equals) bthe square root of athe cube root of athe cube rootthe n-th roota′ a primea n 1) a second prime2) a double prime3) a twice dashed;a m 1) a triple prime2) a third primea1 1) a sub one2) a firsta2 1) a sub two2) a seconda m 1) a sub m2) a m-tha'm 1) a prime,sub m2) a sub m,primea'1 a first primea n2 a second, second primey first derivative of ysecond derivative of ydy/dx first derivative of y with respect to xd2y/dx2 second derivative of y with respect to xy=f(x) y is a function of x∫ integral of1) integral of……from a to b2) integral of……between limits a and bcapital L equals the square root of (out of ) capital R square plus minus x squarea to the m by n-th power equals the n-th root of (out of) a to the m-th powerP=∞ p is equal to infinity∟ angle⊥ perpendicular;is perpendicular to∠ parallel;is parallel to△ABC triangje ABCvector Fa bar≌ is congruent to~ is similar tA-1 inverse of matrix A % percent⼆、英语缩写词abs absolute 绝对的absolutely 绝对地A.D Anno Domini 公元ad inf ad infinitum 趋于⽆限ads address 地址agg aggregate 总数、共计al algebra 代数alt altitude ⾼度alternate 交错,交替a.m above-mentioned 上述的a.m. arithmetic mean 算术平均amt amount 数量ans answer 答案、解答、回答AoI and-or-inverter 与或⾮等差数列A.P arithmeticprogressionappl application 应⽤appr approximate 近似、约计appx appendix 附录arg argument ⾃变数,幅⾓arith arithmetic 算术aut automatic ⾃动的aux,auxil auxiliary 辅助的av,avg average 平均Ax Axiom 公理B.C Before Christ 公元前⼆进制编码的⼗进制BCD Binary Coded DecimalBC.O Binary Coded Octal ⼆进制编码的⼋进制℃(c)centigrate 摄⽒度C cubic ⽴⽅的cycle 周centi 厘,百分之⼀ca circa ⼤约CAD Computer-Aided计算机辅助设计Design计算机辅助教学CAI Computer-AidedInstructioncalcd calculated 计算的cat catalog (ue) ⽬录,⼀览表C.C.W Counter-Clockwise 逆时针⽅向c.d centre distance 中⼼距离cf. confer 参看、见、⽐较cg center of gravity 重⼼厘⽶2克2秒(单位)制C.G.S Centimetre Gramme SecondCh. Chapter 章chap chapter 章char character 字符cir circular 圆形的circum circumference 圆周cit cited 引⽤ckt circuit 电路C.l. center-line 中⼼线算术平均法,平均⾼度法C.L.A center line average methodcm centimetre 厘⽶coeff. coefficient 系数com common 公,公共col column ⾏,纵⾏,栏,项⽬,柱comp. compare ⽐较con contra 相反conclusion 结论con.sec conic sections 圆锥曲线const constant 常数construction 作图contcontinued 续,接(contd)Contr. Contracted 省略的Contraction 省略Cor corollary 推论,系cp compare ⽐较ct constant 常数circuit 电路,线路ctr (s) center (s) 中⼼cu (cub) cubic ⽴⽅C.W. clockwise 顺时针⽅向CY cycle 周期,周d degree 度D density 密度diameter 直径date ⽇期D.C. digital computer 数字计算机微分⽅程D.E differentialequationdef(def’n)definition 定义deg degree 度demon demonstrative 求证den density 密度der derivative 导数,微商det detail 详细,细节,详图DF decimal fraction (⼗进)⼩数dia (m) diameter 直径diag diagram 图,图解diff difference 差,不同DIV divide 除Do (d°)ditto 同上,同前,如前所述doub double 加倍,⼆倍,成双的,成倍的DP data processing 数据处理E east 东edit edition 版,版本e.e error expected 允许的误差例如e.g exempligratia=forexampleeq. equal 相等eq (eq’n)equation 等式,⽅程esp. especially 特别et al et alii 及其他et alibi 及别处etc et cetera 等等et seq et sequentia 及以下等等ex (s) example(s) 例exercise 练习,习题extra 特别的ext external 外部的exterior 在外f frequency 频率fig figure 图,图形fn function 函数,功能FQCY frequency 频率fxd fixed 固定的,不变的g(gm) gramme 克GA general average 平均值最⼤公约数G.C.D greatest commondivisorG.C.F greatest commonfactor最⼤公约数G.C.M greatest commonmeasuregeom. geometry ⼏何学G.P geometrical等⽐数列,⼏何数列progressiongr(grm) gram 克h hour ⼩时height ⾼,⾼度H.C.F. highest common最⾼公因式,最⼤公约数factorhf half 半hor horizontal ⽔平的hr hour ⼩时hyp hypothesis 假设ib (ibid) ibidem 在同处(书,⽂献等出处) id idem 同前,同上,同作者,同样iden identical 恒等,全等i.e id est=that is 即,就是,换⾔之ig idem quod 如同ih inverted hour 逆(反)时针的im image 图像inc increase 增加ind index 索引,指标,刻度indef indefinite ⽆限,不定in.ex in extenso 全部inf infinity ⽆穷⼤,⽆限⼤infra 上、下限inh inverted hour 逆(反)时针的int interior 内部的,在内int.al inter alia 尤其I/O input/output 输⼊/输出信息技术IT informationinformation信息论theory独⽴变数IV independentvariableJ journal 期刊,杂志jour journal 期刊,杂志kg kilogram 千克km kilometer 千克l length 长度l.c loco citato 上述引⽂中最⼩公倍数(式)L.C.M. least commonmultipleLowest common multiple 最低公倍式Lgth length 长度l.h left hand 左⽅,左侧lim limit 极限lin linear 直线的,⼀次的,线性的lit liter (公)升loc location 位置loc.cit loco citato 上述引⽂中最低(数)位,最右(数)位ISD least significantdigitM mega 兆(106)mille 千M(m) medium 中间,中等m metre ⽶milli 毫(10-3)million 兆(106)minute 分钟µ(mu) micro 微(10-6)mae mean absoluteerrormag magnitude 量,⼤⼩math mathematical 数学的mathematics 数学max maximum 最⼤,最⼤值min minimum 最⼩,最⼩值minute 分钟mo (s) month(s) ⽉mon monthly ⽉刊MS mean square 均⽅n net 净N number 数,编号,第…号North 北Northern 北⽅的n.a.s.c necessary andsufficient condition 充要条件,充分且必要的条件N.B nota bene= note 注意wellneg negative 负的Net network ⽹络No(s) number(s) 数,编号,第…号nr near 在…附近常微分⽅程O.D.E. ordinarydifferentialequationopp opposed 相反的,对⾯ord ordinary 普通的,通常的p page 页PAR parallel 平⾏的,平⾏线,并联的par paragraph 节,段P.C. per cent 百分⽐pcs pieces 个,件,份P.D.E partialdifferentialequationPERT programevaluation andreview techniques 计划评审技术(统筹⽅法)ph phase 相位,相pos positive 正的pp pages 负(复数)p.p proportional part ⽐例部分Pr pair 偶,对pr(pri,pry) primary 初级,最初的prep perpendicular 垂直,正交proc proceeding 学报,会刊ps pseudo 伪,假pt(s) part(s) 部分p.t.o please turn over 请见(本页的)反⾯,请翻到下页q question 问题q.e quod est 这就是,即Q.E D quod erat证毕,证完,这就是所要证的,所求证者demonstrandum w.r.t with respect to 关于,相对于。
英文,常用数学符号、公式和等式的读法
一、常用数学符号、公式和等式的读法+ 加号,加 plus+ 正号 positive- 减号,减 minus- 负号,负 negetive± 加或减 plus or minus± 正或负 plus or minus· 乘 multiplied by times into÷ 除 divided by: 比 proportional to= 等号 equal sign= 等于 to equal,to equals> 大于 greater than< 小于 less than≥ 大于等于 greater than or equal≤ 小于等于less than or equal≡ 恒等于 identical with≈ 约等于 approximately equal≌ 全等于 congruent~等价于 equivalent to;相似于 similar to→ 趋近于 approaches( ) 括号,括弧 1) parentheses;parenthesis;sign parenthesis圆括号,圆括弧 2) round brackets[ ] 方括号1) squre [angular] brackets括号2) brackets{ } 花括号 braces∑ 求和summstion of;sigma从1到n的和 the sum form i equalsone to n;sigma从1到n的积 the product form i equalsone to nx1 +x2+x3+ΛΛ x one x two plus x three,etc(et cetera)a=b 1) a equals to b2) a is equal to b3) a is ba≠b a is not equal to b;a is not ba>b a is greater than baa≥b a is greater than or equal to ba≤b a is less than or equal to ba≈b a approximately equal (s) ba∝b a varies directly as b;a is (directly) proportional to ba∈A a is member of set AA⊂B A is contained in B;A is a proper subset of B AIB A intersection BAYB A union{ }或φ empty set⇒implies⇔is equivalent to xRy x is in the relation R to y a±b a plus or minus b(a+b)(a-b) a plus b,a minus b(a+b)2 a plus b all squared(a÷b)2 a over b all squaredn! n factorial;factorial na% a persent|a| mod a;modulus ax→∞ x approaches infinity0< x0≤x≤a zero is less than or equal to x is less than or equal to ac=a.b 1)c equals (is equal to) a multiplied by b2) c equals a times b1:2 the ratio of one to two1/2 a half;one half1/3 a third;one third1/100 a[one] hundredth1/1000 a[one] thousandth0.1(.1) zero point one;nought point one0.01(.01) zero point zero one;nought point nought one3.1416 three point one four one six14. one four point one four,one four recurringa:b the ratio of a to ba:b=c 1) a devided by b equals c2) a devided by b is c3)the ratio of a to b is ca:b=c:d 1) the ratio of a to b equals the ratio of c to d2) a is to b as c is to da+b>c a plus b is greater then ca+b< then b plus>a+b=c a plus b is (are;equals;is equal to) ca-b=c a minus b(b from a) is(equals;is equal to;leaves) c (a,b) a<X[a,b]a≤x≤b the closed interval from a to b(a,b) the interval a<X≤B< td>[a,b] the interval a≤x<B< td>a<Xa≤x≤b a is less then or equal to x is less then or equal to blogax logarithm (base) of xlnx natural logarithm of xx2 1)x square;x squured2) x to the second power3) x raised to the second power4) the square of x5) the second power of x6) x to the secondx3 1)x cube;x cubed2) x to the third power3) x raised to the third power4) the cube of x5) the third power of x6) x to the thirdx n 1)x to the n-th power2) x raised to the n-th power3) the n-th power of x4) x to the n-thx-n 1) x to the minus n-th2) x to the minus n-th powerradical=b 1) the square root of a is(equals) b 2) the square root out of a is(equals) bthe square root of athe cube root of athe cube rootthe n-th roota′ a primea n 1) a second prime2) a double prime3) a twice dashed;a m 1) a triple prime2) a third primea1) a sub one12) a firsta2 1) a sub two2) a second1) a sub mam2) a m-tha'1) a prime,sub mm2) a sub m,primea first primea'12 a second, second primeany first derivative of ysecond derivative of ydy/dx first derivative of y with respect to xd2y/dx2 second derivative of y with respect to xy=f(x) y is a function of x∫ integral of1) integral of……from a to b2) integral of……between limits a and bcapital L equals the square root of (out of ) capital R squareplus minus x squarea to the m by n-th power equals the n-th root of (out of) a tothe m-th powerP=∞ p is equal to infinity∠ angle⊥ perpendicular;is perpendicular to∥ parallel;is parallel to△ABC triangje ABCvector Fa bar≌ is congruent to~ is similar tA-1 inverse of matrix A % percent二、英语缩写词abs absolute 绝对的absolutely 绝对地A.D Anno Domini 公元ad inf ad infinitum 趋于无限ads address 地址agg aggregate 总数、共计al algebra 代数alt altitude 高度alternate 交错,交替a.m above-mentioned 上述的a.m. arithmetic mean 算术平均amt amount 数量ans answer 答案、解答、回答AoI and-or-inverter 与或非等差数列A.P arithmeticprogressionappl application 应用appr approximate 近似、约计appx appendix 附录arg argument 自变数,幅角arith arithmetic 算术aut automatic 自动的aux,auxil auxiliary 辅助的av,avg average 平均Ax Axiom 公理B.C Before Christ 公元前二进制编码的十进制BCD Binary CodedDecimalBC.O Binary Coded Octal 二进制编码的八进制℃(c)centigrate 摄氏度C cubic 立方的cycle 周centi 厘,百分之一ca circa 大约CAD Computer-Aided计算机辅助设计Design计算机辅助教学CAI Computer-AidedInstructioncalcd calculated 计算的cat catalog (ue) 目录,一览表C.C.W Counter-Clockwise 逆时针方向c.d centre distance 中心距离cf. confer 参看、见、比较cg center of gravity 重心厘米·克·秒(单位)制C.G.S Centimetre GrammeSecondCh. Chapter 章chap chapter 章char character 字符cir circular 圆形的circum circumference 圆周cit cited 引用ckt circuit 电路C.l. center-line 中心线算术平均法,平均高度法C.L.A center lineaverage methodcm centimetre 厘米coeff. coefficient 系数com common 公,公共col column 行,纵行,栏,项目,柱comp. compare 比较con contra 相反conclusion 结论con.sec conic sections 圆锥曲线const constant 常数construction 作图contcontinued 续,接(contd)Contr. Contracted 省略的Contraction 省略Cor corollary 推论,系cp compare 比较ct constant 常数circuit 电路,线路ctr (s) center (s) 中心cu (cub) cubic 立方C.W. clockwise 顺时针方向CY cycle 周期,周d degree 度D density 密度diameter 直径date 日期D.C. digital computer 数字计算机微分方程D.E differentialequationdef(def’n)definition 定义deg degree 度demon demonstrative 求证den density 密度der derivative 导数,微商det detail 详细,细节,详图DF decimal fraction (十进)小数dia (m) diameter 直径diag diagram 图,图解diff difference 差,不同DIV divide 除Do (d°)ditto 同上,同前,如前所述doub double 加倍,二倍,成双的,成倍的DP data processing 数据处理E east 东edit edition 版,版本e.e error expected 允许的误差例如e.g exempligratia=forexampleeq. equal 相等eq (eq’n)equation 等式,方程esp. especially 特别et al et alii 及其他et alibi 及别处etc et cetera 等等et seq et sequentia 及以下等等ex (s) example(s) 例exercise 练习,习题extra 特别的ext external 外部的exterior 在外f frequency 频率fig figure 图,图形fn function 函数,功能FQCY frequency 频率fxd fixed 固定的,不变的g(gm) gramme 克GA general average 平均值最大公约数G.C.D greatest commondivisor最大公因子G.C.F greatest commonfactor最大公约数G.C.M greatest commonmeasuregeom. geometry 几何学G.P geometrical等比数列,几何数列progressiongr(grm) gram 克h hour 小时height 高,高度H.C.F. highest common最高公因式,最大公约数factorhf half 半hor horizontal 水平的hr hour 小时hyp hypothesis 假设ib (ibid) ibidem 在同处(书,文献等出处) id idem 同前,同上,同作者,同样iden identical 恒等,全等i.e id est=that is 即,就是,换言之ig idem quod 如同ih inverted hour 逆(反)时针的im image 图像inc increase 增加ind index 索引,指标,刻度indef indefinite 无限,不定in.ex in extenso 全部inf infinity 无穷大,无限大infra 上、下限inh inverted hour 逆(反)时针的int interior 内部的,在内int.al inter alia 尤其I/O input/output 输入/输出信息技术IT informationtechnologyinformation信息论theory独立变数IV independentvariableJ journal 期刊,杂志jour journal 期刊,杂志kg kilogram 千克km kilometer 千克l length 长度l.c loco citato 上述引文中最小公倍数(式)L.C.M. least commonmultipleLowest common multiple 最低公倍式Lgth length 长度l.h left hand 左方,左侧lim limit 极限lin linear 直线的,一次的,线性的lit liter (公)升loc location 位置loc.cit loco citato 上述引文中最低(数)位,最右(数)位ISD least significantdigitM mega 兆(106)mille 千M(m) medium 中间,中等m metre 米milli 毫(10-3)million 兆(106)minute 分钟μ(mu)micro 微(10-6)平均绝对误差mae mean absoluteerrormag magnitude 量,大小math mathematical 数学的mathematics 数学max maximum 最大,最大值min minimum 最小,最小值minute 分钟mo (s) month(s) 月mon monthly 月刊MS mean square 均方n net 净N number 数,编号,第…号North 北Northern 北方的n.a.s.c necessary andsufficient condition 充要条件,充分且必要的条件N.B nota bene= note注意wellneg negative 负的Net network 网络No(s) number(s) 数,编号,第…号nr near 在…附近常微分方程O.D.E. ordinarydifferentialequationopp opposed 相反的,对面ord ordinary 普通的,通常的p page 页PAR parallel 平行的,平行线,并联的par paragraph 节,段P.C. per cent 百分比pcs pieces 个,件,份偏微分方程P.D.E partialdifferentialequationPERT programevaluation andreview techniques 计划评审技术(统筹方法)ph phase 相位,相pos positive 正的pp pages 负(复数)p.p proportional part 比例部分Pr pair 偶,对pr(pri,pry) primary 初级,最初的prep perpendicular 垂直,正交proc proceeding 学报,会刊ps pseudo 伪,假pt(s) part(s) 部分p.t.o please turn over 请见(本页的)反面,请翻到下页q question 问题q.e quod est 这就是,即Q.E D quod erat证毕,证完,这就是所要证的,所求证者demonstrandumw.r.t with respect to 关于,相对于。
- 1、下载文档前请自行甄别文档内容的完整性,平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益,请联系客服反馈,我们会尽快为您处理(人工客服工作时间:9:00-18:30)。
1.Logic
∃ 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 2.Sets
x∈A x belongs to A / x is an element (or a member) of A
x∉A x does not belong to A / x is not an element (or a member) o
f A
A⊂B A is contained in B / A is a subset of B
A⊃B A contains B / B is a subset of A
A∩B A cap B / A meet B / A intersection B
A∪B A cup B / A join B / A union B
A\B A minus B / the diference between A and B
A×B A cross B / the cartesian product of A and B
3. Real numbers
x+1 x plus one
x-1 x minus one
x±1 x plus or minus one
xy xy / x multiplied by y
(x - y)(x + y) x minus y, x plus y
x y x over y
= the equals sign
x = 5 x equals 5 / x is equal to 5
x≠5 x (is) not equal to 5
x≡y x is equivalent to (or identical with) y
x ≡ y x is not equivalent to (or identical with) y
x > y x is greater than y
x≥y x is greater than or equal to y
x < y x is less than y
x≤y x is less than or equal to y
0 < x < 1 zero is less than x is less than 1
0≤x≤1 zero is less than or equal to x is less than or equal to 1 | x | mod x / modulus x
x 2 x squared / x (raised) to the power 2
x 3 x cubed
x 4 x to the fourth / x to the power four
x n x to the nth / x to the power n
x −n x to the (power) minus n
x (square) root x / the square root of x
x 3 cube root (of) x
x 4 fourth root (of) x
x n nth root (of) x
( x+y ) 2 x plus y all squared
( x y ) 2 x over y all squared
n! n factorial
x ^ x hat
x ¯ x bar
x ˜ x tilde
x i xi / x subscript i / x suffix i / x sub i
∑ i=1 n a i the sum from i equals one to n a i / the sum as i runs fro m 1 to n of the a i
4. Linear algebra
‖ x ‖ the norm (or modulus) of x
OA → OA / vector OA
OA ¯ OA / the length of the segment OA
A T A transpose / the transpose of A
A −1 A inverse / the inverse of A
5. Functions
f( x ) fx / f of x / the function f of x
f:S→T a function f from S to T
x→y x maps to y / x is sent (or mapped) to y
f'( x ) f prime x / f dash x / the (first) derivative of f with respect t
o x
f''( x ) f double-prime x / f double-dash x / the second derivative o
f f with respect to x
f'''( x ) triple-prime x / f triple-dash x / the third derivative of f with res pect to x
f (4) ( x ) f four x / the fourth derivative of f with respect to x
∂f∂ x 1 the partial (derivative) of f with respect to x1
∂ 2 f ∂ x 1 2 the second partial (derivative) of f with respect to x1 ∫ 0 ∞ the integral from zero to infinity
lim x→0 the limit as x approaches zero
lim x→ 0 + the limit as x approaches zero from above
lim x→ 0 − the limit as x approaches zero from below
log e y log y to the base e / log to the base e of y / natural log (o
f) y
lny log y to the base e / log to the base e of y / natural log (of) y。