1、1.Logic there exist for all pq p implies q / if p, then q pq p if and only if q /p is equivalent to q / p and q are equivalent 2.Sets xA x belongs to A / x is an element (or a member) of A xA x does not belong to A / x is not an element (or a member) of A AB A is contained in B / A is a subset of B

2、AB A contains B / B is a subset of A AB A cap B / A meet B / A intersection B AB A cup B / A join B / A union B AB A minus B / the diference between A and B AB A cross B / the cartesian product of A and B 3. Real numbers x+1 x plus one x-1 x minus one x1 x plus or minus one xy xy / x multiplied by y

3、 (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 x5 x (is) not equal to 5 xy x is equivalent to (or identical with) y x/y（x不等于y)x is not equivalent to (or identical with) y x y x is greater than y xy x is greater than or equal to y x y x is less t

4、han y xy x is less than or equal to y 0 x 1 zero is less than x is less than 1 0 x1 zero is less than or equal to x is less than or equal to 1 | x | mod x / modulus x x 2 (x的平方）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 pow

5、er n x n x to the (power) minus n x的（算術）平方根(square) root x / the square root of x x的立方根cube root (of) x x 的4次方根 fourth root (of) x x 的n 次方根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 su

6、b 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 x OA OA / vector OA OA OA / the length of the segment OA A T （轉置）A transpose / the transpose of A A 1 （逆）A inverse / the inverse of A 5. Functions f( x ) fx / f of

7、x / the function f of x f:ST a function f from S to T xy 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 to x f( 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

8、 x / the third derivative of f with respect to x f (4) ( x ) f four x / the fourth derivative of f with respect to x f / x 1 （f對x1的偏導）the partial (derivative) of f with respect to x1 2 f / x 1 2 (f對x1再對x2的2 階偏導）the second partial (derivative) of f with respect to x1 0 （積分0到）the integral from zero to

9、 infinity lim x0 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 (of) y lny log y to the base e / log to the base e of y / natural log (of) y ? 各種數學

10、語言的英語翻譯數學 mathematics, maths(BrE), math(AmE) 公理 axiom 定理 theorem 計算 calculation 運算 operation 證明 prove 假設 hypothesis, hypotheses(pl.) 命題 proposition 算術 arithmetic 加 plus(prep.), add(v.), addition(n.) 被加數 augend, summand 加數 addend 和 sum 減 minus(prep.), subtract(v.), subtraction(n.) 被減數 minuend 減數 subt

11、rahend 差 remainder 乘 times(prep.), multiply(v.), multiplication(n.) 被乘數 multiplicand, faciend 乘數 multiplicator 積 product 除 divided by(prep.), divide(v.), division(n.) 被除數 dividend 除數 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 gre

12、ater than 小于等于 is equal or lesser than 運算符 operator 平均數mean算術平均數arithmatic mean幾何平均數geometric mean n個數之積的n次方根 倒數（reciprocal） x的倒數為1/x 有理數 rational number 無理數 irrational number 實數 real number 虛數 imaginary number 數字 digit 數 number 自然數 natural number 整數 integer 小數 decimal 小數點 decimal point 分數 fraction

13、分子 numerator 分母 denominator 比 ratio 正 positive 負 negative 零 null, zero, nought, nil 十進制 decimal system 二進制 binary system 十六進制 hexadecimal system 權 weight, significance 進位 carry 截尾 truncation 四舍五入 round 下舍入 round down 上舍入 round up 有效數字 significant digit 無效數字 insignificant digit 代數 algebra 公式 formula,

14、 formulae(pl.) 單項式 monomial 多項式 polynomial, multinomial 系數 coefficient 未知數 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 階乘 factorial 對數 logarithm 指數，冪 exponent 乘方 power 二次方，平方 square 三次方，立方

15、 cube 四次方 the power of four, the fourth power n次方 the power of n, the nth power 開方 evolution, extraction 二次方根，平方根 square root 三次方根，立方根 cube root 四次方根 the root of four, the fourth root n次方根 the root of n, the nth root sqrt(2)=1.414 sqrt(3)=1.732 sqrt(5)=2.236常量 constant 變量 variable 坐標系 coordinates 坐標

16、軸 x-axis, y-axis, z-axis 橫坐標 x-coordinate 縱坐標 y-coordinate 原點 origin 象限quadrant 截距(有正負之分)intercede (方程的）解solution 幾何geometry 點 point 線 line 面 plane 體 solid 線段 segment 射線 radial 平行 parallel 相交 intersect 角 angle 角度 degree 弧度 radian 銳角 acute angle 直角 right angle 鈍角 obtuse angle 平角 straight angle 周角 per

17、igon 底 base 邊 side 高 height 三角形 triangle 銳角三角形 acute triangle 直角三角形 right triangle 直角邊 leg 斜邊 hypotenuse 勾股定理 Pythagorean theorem 鈍角三角形 obtuse triangle 不等邊三角形 scalene triangle 等腰三角形 isosceles triangle 等邊三角形 equilateral triangle 四邊形 quadrilateral 平行四邊形 parallelogram 矩形 rectangle 長 length 寬 width周長 pe

18、rimeter 面積 area 相似 similar 全等 congruent三角 trigonometry 正弦 sine 余弦 cosine 正切 tangent 余切 cotangent 正割 secant 余割 cosecant 反正弦 arc sine 反余弦 arc cosine 反正切 arc tangent 反余切 arc cotangent 反正割 arc secant 反余割 arc cosecant集合aggregate 元素 element 空集 void 子集 subset 交集 intersection 并集 union 補集 complement 映射 mappi

19、ng 函數 function 定義域 domain, field of definition 值域 range 單調性 monotonicity 奇偶性 parity 周期性 periodicity 圖象 image 數列，級數 series 微積分 calculus 微分 differential 導數 derivative 極限 limit 無窮大 infinite(a.) infinity(n.) 無窮小 infinitesimal 積分 integral 定積分 definite integral 不定積分 indefinite integral 復數 complex number 矩

20、陣 matrix 行列式 determinant圓 circle 圓心 centre(BrE), center(AmE) 半徑 radius 直徑 diameter 圓周率 pi 弧 arc 半圓 semicircle 扇形 sector 環 ring 橢圓 ellipse 圓周 circumference 軌跡 locus, loca(pl.) 平行六面體 parallelepiped 立方體 cube 七面體 heptahedron 八面體 octahedron 九面體 enneahedron 十面體 decahedron 十一面體 hendecahedron 十二面體 dodecahed

21、ron 二十面體 icosahedron 多面體 polyhedron 旋轉 rotation 軸 axis 球 sphere 半球 hemisphere 底面 undersurface 表面積 surface area 體積 volume 空間 space 雙曲線 hyperbola 拋物線 parabola四面體 tetrahedron 五面體 pentahedron 六面體 hexahedron菱形 rhomb, rhombus, rhombi(pl.), diamond 正方形 square 梯形 trapezoid 直角梯形 right trapezoid 等腰梯形 isosceles trapezoid 五邊形 pentagon 六邊形 hexagon 七邊形 heptagon 八邊形 octagon 九邊形 enneagon