HomeMathematical Notation

Mathematical Notation

Mathematical signs, symbols, and operators defined in Part 2.

16subparts

238entries

Variables & Functions

Elementary Geometry

Classical Logic

Axiomatic Set Theory

Numbers & Functions

Special Functions

Combinatorial Analysis

Vectors & Matrices

Coordinates & Tensors

Transforms & Operators

Special Functions II

238 entries

All entries

238

p \land q

p \lor q

\neg p

p \Rightarrow q

p \Leftrightarrow q

\forall x \in A p (x)

\exists x \in A p (x)

belongs to set|

x \in A

y \notin A

set with elements|

{x_{1}, x_{2}, \dots, x_{n}}

set of elements|

{x \in A ∣ p (x)}

number of elements|

card A

| A |

\emptyset

{}

B \subseteq A

B \subset A

A \cup B

A \cap B

⋃_{i = 1}^{n} A_{i}

intersection of sets|

⋂_{i = 1}^{n} A_{i}

difference of sets|

A \ B

(a, b)

ordered n-tuple|

(a_{1}, a_{2}, \dots, a_{n})

Cartesian product of two sets|

A \times B

Cartesian product of several sets|

\prod_{i = 1}^{n} A_{i}

identity relation|

{id}_{A}

natural numbers|

N

set of integers|

Z

set of rational numbers|

Q

set of real numbers|

R

set of complex numbers|

C

set of prime numbers|

P

closed interval|

[a, b \]

left half-open interval|

(a, b \]

right half-open interval|

[a, b)

(a, b)

closed unbounded interval|

(- \infty, b \]

open unbounded interval|

(- \infty, b)

closed unbounded interval|

[a, + \infty)

open unbounded interval|

(a, + \infty)

a = b

a \neq b

a ≔ b

corresponds to|

a ≙ b

approximately equal to|

a \approx b

asymptotically equal to|

a ≃ b

proportional to|

a ~ b

M ≅ N

a < b

b > a

less than or equal to|

a \leq b

greater than or equal to|

b \geq a

much less than|

a ≪ b

much greater than|

b ≫ a

\infty

x \to a

divides, for integers|

m ∣ n

congruent to, modulo|

n \equiv k mod m

(a + b)

[a + b \]

{a + b}

〈 a + b 〉

AB & # 8741; CD

perpendicular to the straight line|

AB & # 8869; CD