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2d
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 $10$?
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Jun
16
answered Why does $\{1 \dots 9\}$ behave like this under multiplication mod $10$?
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accepted Information-theoretic aspects of mathematical systems?
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comment Information-theoretic aspects of mathematical systems?
@YassineGuerboussa of course, that's up to you
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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
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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
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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*