Alex Nelson
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 Feb 12 comment Symbolic math engines barf on this ostensibly tractable integral. What is the variable you're integrating? (There's no $dx$ factor in the integrand) Feb 12 comment Vector Delta Function Identity These are all simple roots, too, so none of them would have a multiplicity greater than 1... Feb 12 comment Applications of Operator Algebras to modern physics @Jeff Since you're at Caltech (I gather), go find Matilde Marcolli and speak with her. She's an expert on Noncommutative geometry, which basically amounts to applying operator algebras to...everything... Feb 4 comment Is computer science a branch of mathematics? @CarlMummert: true, but I figured everyone else would give rigorous books related to the formal field "the theory of computation", like the ones you noted. So, I wanted to just note there's a programming book that uses the axiomatic method :) Feb 2 comment How must I understand concepts equations of physics? It might be wise to study (a) differential geometry, and (b) partial differential equations. Differential geometry for the obvious reasons. But (b) because classical field theory, for the most part, boils down to PDEs [or, depending on your outlook, some "abstract nonsense" involving sections of fiber bundles ;)]. Jan 29 comment If 1 $\leq x$, then $\sqrt{x} \leq x$ Just a style thing, I would begin the proof writing "Proof. Assume for contradiction $x<\sqrt{x}$. Square both sides of $x\geq1$ gives us $x^{2}\geq x$. But squaring both sides of our assumption gives us \$x^{2}