![]() I am not a experienced programmer, so what I am saying is hypothetical… Maybe it could apply to language translations using string values eg “Howdy” ~= “How do you do?” This could be useful in time critical situations where the necessary answer cannot be fully known because of rapidly changing parameters? The time save might be marginal but could in time critical situations be an advantage. Perhaps, it could also mean ‘also equals’ and allow for rapid switching between a low precision and high precision value? Perhaps, to perform a complex calculation, that takes time, to see if the answer might be close to being correct before performing the precise calculation. Maybe it is something that applies to rounded values either float or int eg 3.14 ~= 3.142 or 1900 ~= 1949? It just seemed to be a missing mathematical symbol from the comparison operators group (and a mathematical symbol I am somewhat fond of using). People use approximations all the time in daily life eg measuring an angle in a pool game or painting a picture, measuring a distance etc. The symbol may be used with other meanings, including "approximately equal to".I can’t be categoric and say it won’t have a practical application.The symbol "$\cong$" may denote that two math objects are isomorphic, a modular congruence or a geometric congruence.In LaTeX, "$\approx$" is encoded as "\approx".For functions $f$ and $g$, the statement "$f \approx g$" means that $f$ and $g$ are asymptotic.For numbers $x$ and $y$, the statement "$x \approx y$" means that $x$ is an approximation to $y$."$\sim$" is one of many symbols used in logic to indicate negation.Note that "approximately equal" is reflexive and symmetric but not transitive. "$\sim$" is one of many symbols, listed in the Wikipedia article on approximation, used to indicate that one number is approximately equal to another. ![]()
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