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Wed, 14 Jun 2006
Worst mathematical notation ever
I was reading some lecture notes today, and I encountered what I think must be the single worst line of mathematical notation I have ever seen. Here it is:
$$\equiv_{i_0+1} = \equiv_{i_0} = \equiv$$ Isn't that just astonishing?The explanation is that the author is constructing a sequence of equivalence relations, each one ≡_{n} derived from the previous one ≡_{n-1}. Eventually (after i_{0} iterations of the procedure), the construction has nothing left to do, and the new relation is the same as the one from which it was constructed. At this point the constructed relation turns out to be a certain one ≡ with desirable properties.
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