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 Aug 30 comment Prove that G is a group I find the reasoning is easier to follow if you draw out the table of a small group G (say 4 or 5 elements). For one, every element x must "shift" the elements differently, because otherwise you will have a row/column in G's operation table with a duplicate element, and that wouldn't be the table of a group. Jun 23 comment How to integrate this equation in Matlab In Mathematica FullSimplify[Integrate[Cos[m (x + l)] Cosh[m (x - l)] Sin[Pi x/l], {x, 0, L}]] gives an answer (it's a fairly large expression). Jun 16 revised Why does $\{1 \dots 9\}$ behave like this under multiplication mod $10$? added 24 characters in body Jun 16 answered Why does $\{1 \dots 9\}$ behave like this under multiplication mod $10$? Dec 19 awarded Caucus Dec 8 awarded Benefactor Dec 8 accepted Information-theoretic aspects of mathematical systems? Dec 8 awarded Good Question Dec 3 comment Information-theoretic aspects of mathematical systems? @YassineGuerboussa of course, that's up to you Dec 3 awarded Nice Question Dec 2 comment Information-theoretic aspects of mathematical systems? @YassineGuerboussa thanks, you may be right as i'm fairly new to math. i'm not particularly interested in any specific kind of interpretation or answer, so if you post your comment as an answer that would be O.K. i'm more interested in getting a bit more clarity on the general matter, which you've provided here. still i encourage people to think about it in their own ways if they have any ideas Dec 1 awarded Promoter Oct 4 awarded Yearling May 24 awarded Good Answer May 24 awarded Mortarboard May 24 awarded Nice Answer May 8 comment What does “-2E-07x” means? guessing E means "exponent". also guessing the reason it's capitalized is because it fits conveniently into LCD displays on calculators May 6 awarded Caucus Mar 26 comment Is there a $k$ such that $a_n=\frac{n^k!}{(n^k!!)^2}$ converges? @AlexanderGruber nah, for the first one. the second one appears to be intractable as a limit to Mathematica 8, though there is a nonzero chance version 9 may be able to handle it. this or this might be useful in case you haven't seen them Mar 24 comment How many integers between [3,000, 8,000] have digit sum 20? @TheAlchemist Inefficient this! Count[Total[IntegerDigits[#]] & /@ Range[3000, 8000], 20] *karate chop*