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        數(shù)學(xué)公式的英語讀法

        來源:網(wǎng)絡(luò) 2009-08-27 11:23:44

        智能內(nèi)容


        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
        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
        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
        x5   x (is) not equal to 5
        xy   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
        xy   x is greater than or equal to y
        x < y   x is less than y
        xy   x is less than or equal to y
        0 < x < 1   zero is less than x is less than 1
        0x1   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 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   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: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 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   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 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
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