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数学公式的英语读法

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发表于 2009-1-17 19:41:32 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
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 ˉ         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 ˉ         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 /
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