At lunch at Nuffield I was just asking MM about some math notation I'd like: a symbol for "is not necessarily equal to". For example, and economics paper might show the following:
Proposition: Stocks with equal risks might or might not have the same returns. In the model's notation, x IS NOT NECESSARILY EQUAL TO y.
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I can't say x \neq y there, because maybe x=y, maybe not, depending on the parameter values.
If anybody knows of such a symbol, please let me know. In fact, just a symbol for IS NOT NECESSARILY might be useful, since we could combine it with other symbols, e.g.
x IS NOT NECESSARILY = y
Horse heights ARE NOT NECESSARILY > cow heights
The biased estimator IS NOT NECESSARILY \sim N(0,1).
OCTOBER 7. Stimulated by a comment below:
The modal logic symbols might work well. Wikipedia's
"Modal logic" says:
"The basic
modal operators are usually written
(or
L) for
Necessarily and
(or
M) for
Possibly."
Maybe I could say " x ≠ y" for "x is not necessarily equal to y".
Labels: math, notation, statistics, writing
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