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这些你都知道吗?以后给老外作报告的时候可千万别再“The equationis like this…”, “The value is like this…”
有些公式不好写,能看出来什么意思就行了。
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 amember) 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 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 =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 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 x2 x squared / x (raised) to the power 2 x3 x cubed x4 x to the fourth / x to the power 4 xn x to the nth / x to the power n x (−n) x to the (power) minus n x的平方根(square) root x / the square root of x x的三次根cube root (of) x x的四次根fourth root (of) x x的n次根nth root (of) x (x+y)2 x plus y all squared n! n factorial x^x hat xˉ x bar x˜ x tilde xi 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 OAˉ OA / the length of the segment OA AT 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 afunction 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 tox 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/∂x1 the partial (derivative) of f with respect to x1 ∂2f/∂x12 the second partial (derivative) of f with respect to x1 ∫0∞the integral from zero to infinity limx→0the 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
那么现在问题来了
the equation of xxx is given by (?)
for each.
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