數學公式的英語讀法和各種數學語言的英語翻譯

1、數學公式的英語讀法和各種數學語言的英語翻譯1.Logicthere existfor allpqp implies q / if p, then qpqp if and only if q /p is equivalent to q / p and q are equivalent2.SetsxAx belongs to A / x is an element (or a member) of AxAx does not belong to A / x is not an element (or a member) of AABA is contained in B / A is a subs

2、et of BABA contains B / B is a subset of AABA cap B / A meet B / A intersection BABA cup B / A join B / A union BABA minus B / the diference between A and BABA cross B / the cartesian product of A and B3.Real numbersx+1x plus onex-1x minus onex1x plus or minus onexyxy / x multiplied by y(x - y)(x +

3、y)x minus y, x plus yx/yx over y=the equals signx = 5x equals 5 / x is equal to 5x5x (is) not equal to 5xyx is equivalent to (or identical with) yx/y（x不等于y)x is not equivalent to (or identical with) yx yx is greater than yxyx is greater than or equal to yx yx is less than yxyx is less than or equal

4、to y0 x 1zero is less than x is less than 10x1zero is less than or equal to x is less than or equal to 1| x |mod x / modulus xx 2 (x的平方）x squared / x (raised) to the power 2x 3x cubedx 4x to the fourth / x to the power fourx nx to the nth / x to the power nx nx to the (power) minus nx的（算術）平方根(square

5、) root x / the square root of xx的立方根cube root (of) xx 的4次方根fourth root (of) xx 的n 次方根nth root (of) x( x+y ) 2x plus y all squared( x/y ) 2x over y all squaredn!n factorialx x hatx x barx x tildex ixi / x subscript i / x suffix i / x sub i i=1 n a ithe sum from i equals one to n a i / the sum as i ru

6、ns 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 （轉置）A transpose / the transpose of AA 1 （逆）A inverse / the inverse of A5. Functionsf( x )fx / f of x / the function f of xf:STa function f from S to Txyx maps to y / x is se

7、nt (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 der

8、ivative of f with respect to xf / 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 infinitylim x0the limit as x approaches zerolim x 0 +the limit as x approaches zero from abovelim x 0 the limit as x approaches zero from belowlog e ylog