数学符号英语翻译_数学英语翻译

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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 集合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 AB A minus B / the diference between A and B

A×B A cro B / the cartesian product of A and B 3.Real numbers x+1 x-1 x±1 xy x plus one x minus one x plus or minus one xy / x multiplied by y

x minus y, x plus y(x-y)(x+y)= x=5 x≠5 the equals sign

x equals 5 / x is equal to 5 x(is)not equal to 5

x≡y x is equivalent to(or identical with)y x>y x≥y x

x is greater than or equal to y x is le than y x≤y x is le than or equal to y

zero is le than x is le than 1

zero is le than or equal to x is le than or equal to 1 0

x squared / x(raised)to the power 2 x cubed

x to the fourth / x to the power 4 x to the nth / x to the power n x to the(power)minus n

(square)root x / the square root of x

cube root(of)x fourth root(of)x nth root(of)x x的三次根 x的四次根 x的n次根

(x+y)2 x plus y all squared n!x^ x¯ x˜ xi n factorial x hat x bar x tilde

xi / x subscript i / x suffix i / x sub i

∑(i=1~n)ai the sum from i equals one to n ai / the sum as i runs from 1 to n of the ai

4.Linear algebra

‖x‖ the norm(or modulus)of x OA→ OA / vector OA 这里应该是写在字母上的一短杠

OA¯ OA / the length of the segment OA 同上，长杠 AT A−1 A transpose / the transpose of A 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 4应该是上角标

∂f/∂x1 the partial(derivative)of f with respect to x1 ∂2f/∂x12 ∫0∞ the second partial(derivative)of f with respect to x1

the integral from zero to infinity

limx→0 the limit as x approaches zero

limx→0+ the limit as x approaches zero from above limx→0− the limit as x approaches zero from below

logey 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