这些你都知道吗？以后给老外作报告的时候可千万别再“The equation is 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⇒qp implies q / if p, then q
p⇔qp if and only if q /p is equivalent to q / p and q are equivalent
2.Sets
x∈Ax belongs to A / x is an element (or a member) of A
x∉Ax does not belong to A / x is not an element (or a member) of A
A⊂BA is contained in B / A is a subset of B
A⊃BA contains B / B is a subset of A
A∩BA cap B / A meet B / A intersection B
A∪BA cup B / A join B / A union B
A\BA minus B / the diference between A and B
A×BA cross B / the cartesian product of A and B
3. Real numbers
x+1x plus one
x-1x minus one
x±1x plus or minus one
xyxy / x multiplied by y
(x-y)(x+y)x minus y, x plus y
=the equals sign
x=5x equals 5 / x is equal to 5
x≠5x (is) not equal to 5
x≡yx is equivalent to (or identical with) y
x>yx is greater than y
x≥yx is greater than or equal to y
x<yx is less than y
x≤yx is less than or equal to y
0<x<1zero is less than x is less than 1
0≤x≤1zero is less than or equal to x is less than or equal to 1
|x| mod x / modulus x
x2x squared / x (raised) to the power 2
x3x cubed
x4x to the fourth / x to the power 4
xnx 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)2x plus y all squared
n!n factorial
x^ x hat
x¯x bar
x˜x tilde
xixi / 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
OA¯OA / the length of the segment OA
ATA 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→Ta function f from S to T
x→yx 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/∂x1the 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→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
ln ylog y to the base e / log to the base e of y / natural log (of) y |
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