Mathematical phrases

x + 1 x plus one
x − 1 x minus one
x ± 1 x plus or minus one
xy xy

x multiplied by y

(xy)(x + y) x minus y, x plus y
xy x over y
x ÷ y x divided by y
x = 5 x equals 5

x is equal to 5

x ≈ 5 x is approximately equalt to 5
xy x is equivalent to y

x is identical with y

x > y x is greater than y
xy x is greater than or equal to y
x < y x is less than y
xy 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 2 x squared
x 3 x cubed
x 4 x to the fourth

x to the power four

x n x to the n

x to the nth

x to the power n

x n x to the minus n

x to the power minus n

x root x

square root x

the square root of x

3x cube root x
4x fourth root x
nx nth root x
(x + y)2 x plus y all squared
(xy)2 x over y all squared
n! n factorial

factorial n

x% x per cent
infinity
xy x varies as y

x is (directly) proportional to y

ä a double dot
f (x) fx

f of x

the function of x

f ′(x) f dash x

the (first) derivative of f with respect to x

f ″(x) f double-dash x

the second derivative of f with respect to x

f ′″(x) f triple-dash x

f treble-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

v ⁄ ∂θ the partial derivative of v with respect to θ
2v ⁄ ∂θ2 d two v by d theta squared

the second partial derivative of v with respect to θ

0 the integral from zero to infinity
i = 1n the sum form i equal one to n
i = 1n the product form i equal one to n
limΔx → 0 the limit as delta x approaches zero

the limit as delta x tends to zero

grad gradient
div divergence
logey log y to the base e

log to the base e of y

natural log (of) y

OA OA

vector OA

x ∈ A x belong to A

x is a member of A

x is an element of A

x ∉ A x does not belong to A

x is not a member of A

x is not an element of A

A ⊂ B A is contained in B

A is a proper subset of B

A ⊆ B A is contained in B

A is a subset of B

B ∩ A B intersection A
B ∪ A B union A
|x| mod x

modulus x

therefore
perpendicular
|| parallel

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