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A wave over an equals sign, saying two structures are the same.
Also known as: Congruent to, Isomorphism sign, Tilde over equals
A tilde over an equals sign says two objects are isomorphic — structurally identical though not literally the same object. In geometry the same character means congruent, which is the same idea applied to figures.
States that two mathematical structures are isomorphic: there is a structure-preserving correspondence between them.
Contexts: Mathematics
Means congruent in elementary geometry, where two figures have both the same shape and the same size.
Contexts: Mathematics
A single wave drawn immediately above two short parallel horizontal lines.