Symbols:Brackets/Angle Brackets

From ProofWiki
Jump to navigation Jump to search

Symbol

Angle brackets are symbols used in a number of specific contexts.

They comprise the left angle bracket $\langle$ and the right angle bracket $\rangle$.


The $\LaTeX$ code for \(\langle\) is \langle .

The $\LaTeX$ code for \(\rangle\) is \rangle .


Usage

Angle brackets are used in the following contexts:

The specification of a point in polar coordinates: $\polar {r, \theta}$
To denote a sequence: $\sequence {s_n}$
To denote the set of images under an indexed family: $\family {x_i}_{i \mathop \in I}$
To denote a generator of a group or other algebraic structure: $\gen {a, b}$



The $\LaTeX$ code for \(\polar {r, \theta}\) is \polar {r, \theta} .

The $\LaTeX$ code for \(\sequence {s_n}\) is \sequence {s_n} .

The $\LaTeX$ code for \(\family {x_i}_{i \mathop \in I}\) is \family {x_i}_{i \mathop \in I} .

The $\LaTeX$ code for \(\gen {a, b}\) is \gen {a, b} .