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 subt of B |
A⊃B | | A contains B / B is a subt of A 好看的法国电影 |
A∩B | | A cap B / A meet B / A interction 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 |
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(x - y)(x + y) | | x minus y, x plus y |
乘客英文版 | | |
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 brother sharp | | 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 (raid) 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 |
love me for a reasonx −n | | x to the (power) minus n |
x | | (square) root x / the square root of x |
x 3 | | cube root (of) x |
x 4 | 日本留学动漫 | fourth root (of) x |
x n | | nth root (of) x |
( x+y ) 2 | | x plus y all squared |
( x y ) 2 measurement | urbana | 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 gment OA |
A T | summervacation | A transpo / the transpo of A |
A −1 | | A inver / the inver 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 nt (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 cond derivative of f with respect to x |
f'''( x ) | | dangdang 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 cond partial (derivative) of f with respect to x1 |
∫ 0 ∞ | | the integral from zero to infinity | 毕业舞会
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 ba e / log to the ba e of y / natural log (of) y |
lny | | log y to the ba e / log to the ba e of y / natural log (of) y |
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