
¬
This is called 'not' and is most commonly used in propositional logic and mathematics. It may not appear on all keyboards.
¦ and |
'Vertical bar' or 'pipe' is used in mathematics and computer programming. It can be 'broken' or 'unbroken' as shown.
^
'Caret' a.k.a 'hat', 'wedge' and 'chevron' is used in mathematics, logic, computing and to indicate ordinals in Italian.
~
'Tilde' is used in a variety of ways, such as indicating an approximation as well as the usual suspects: mathematics, logic and computing.
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