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數(shù)學公式的英語讀法

來源：網(wǎng)絡(luò) 2009-08-27 11:23:44

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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) of 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 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: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 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⁡ 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 (of) y
ln⁡y   log y to the base e / log to the base e of y / natural log (of) y
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