数学公式的英文表达


Also see: Mathematical and scientific symbols (opens new window)

# Logic

there exist

for all

pqp⇒q p implies q / if p, then q

pqp⇔q p if and only if q /p is equivalent to q / p and q are equivalent

# Sets

xAx∈A x belongs to A / x is an element (or a member) of A

xAx∉A x does not belong to A / x is not an element (or a member) of A

ABA⊂B A is contained in B / A is a subset of B

ABA⊃B A contains B / B is a subset of A

ABA∩B A cap B / A meet B / A intersection B

ABA∪B A cup B / A join B / A union B

ABA-B A minus B / the diference between A and B

A×BA×B A cross B / the cartesian product of A and B

# Real numbers

x+1x+1 x plus one

x1x-1 x minus one

x±1x±1 x plus or minus one

xyxy xy / x multiplied by y

(xy)(x+y)(x-y)(x+y) x minus y, x plus y

== the equals sign

x=5x=5 x equals 5 / x is equal to 5

x5x≠5 x (is) not equal to 5

xyx≡y x is equivalent to (or identical with) y

x>yx>y x is greater than y

xyx≥y x is greater than or equal to y

x<yx<y x is less than y

xyx≤y x is less than or equal to y

0<x<10<x<1 zero is less than x is less than 1

0x10≤x≤1 zero is less than or equal to x is less than or equal to 1

x|x| mod x / modulus x

x2x^2 x squared / x (raised) to the power 2

x3x^3 x cubed

x4x^4 x to the fourth / x to the power 4

xnx^n x to the nth / x to the power n

x(n)x^(−n) x to the (power) minus n

x\sqrt{x} root x / the square root of x

x3\sqrt[3]{x} cube root (of) x

x4\sqrt[4]{x} fourth root (of) x

xn\sqrt[n]{x} n-th root (of) x

(x+y)2(x+y)^2 x plus y all squared

n!n! n factorial

x^\hat{x} x hat

xˉ\bar{x} x bar

x~\tilde{x} x tilde

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

i=1nai\sum_{i=1}^{n}a_i the sum from i equals one to n ai / the sum as i runs from 1 to n of the ai

# Linear algebra

x\left \| x \right \| the norm (or modulus) of x

OA\overrightarrow{OA} OA / vector OA

OAˉ\bar{OA} OA / the length of the segment OA

ATA^T A transpose / the transpose of A

A1A^{-1} A inverse / the inverse of A

# Functions

f(x)f(x) fx / f of x / the function f of x

f:STf:S→T a function f from S to T

xyx→y x maps to y / x is sent (or mapped) to y

f(x)f'(x) f prime x / f dash x / the (first) derivative of f with respect to x

f(x)f''(x) f double-prime x / f double-dash x / the second derivative of f with respect to x

f(x)f'''(x) triple-prime x / f triple-dash x / the third derivative of f with respect to x

fx4f_{x}^{4} f four x / the fourth derivative of f with respect to x

fx1\frac{\partial f}{\partial x_1} the partial (derivative) of f with respect to x1x_1

2fx12\frac{\partial^2 f}{\partial x_{1}^2} the second partial (derivative) of f with respect to x1x_1

0\int_{0}^{\infty } the integral from zero to infinity

limx0\lim_{x \rightarrow 0} the limit as x approaches zero

limx0+\lim_{x \rightarrow 0^+} the limit as x approaches zero from above

limx0\lim_{x \rightarrow 0^-} the limit as x approaches zero from below

logey\log_e{y} log y to the base e / log to the base e of y / natural log (of) y

lny\ln y log y to the base e / log to the base e of y / natural log (of) y