Math symbol brackets

Brackets as a mathematical symbol may refer to:

Parentheses "()"

• Argument of a function in mathematical functions
• A set of coordinates in a coordinate system
• Tuple, a sequence of elements
• The greatest common divisor of two numbers
• Equivalence class congruence, especially for modular arithmetic or modulo an ideal
• A higher order derivative in Lagrange's notation
• Binomial or multinomial coefficient

Square brackets "[]"

• Commutator, an indicator to which a binary operation fails to be commutative
• Iverson bracket, notation
• Lie bracket of vector fields, operator

Chevrons "〈〉"

• Dirac notation, in quantum mechanics
• Moment, measures relating to the shape of a function's graph
• Linear span, a set of all linear combinations of vectors
• Mean, mean of a set of values (e.g.〈x〉= (x₁ + ... + x_n) / n)

Other uses

• Order of operations, uses multiple types of brackets
• Set, uses braces "{}"
• Interval, uses square brackets and parentheses
• Matrix, uses square brackets and parentheses
• Inner product space, uses parentheses and chevrons

See also

• Glossary of mathematical symbols