Albert van der Horst wrote:
Einstein introduced the summation convention for indices that
are used twice. Leaving out summation signs is absolutely hideous,
but it has saved generations of physicists of loosing track (and
their minds.)

There is a joke among mathematicians that if Einstein hadn't been remembered for a couple of other fairly contributions things in physics :-), he would have been remembered in mathematics for that convention, since it has saved everyone -- mathematicians included -- a lot of time and anguish. When using tensor calculus, there's even very easy ways to verify you have a valid tensor equation using it.

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Erik Max Francis && m...@alcyone.com && http://www.alcyone.com/max/
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