数学公式的英语读法

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