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 Jul1 comment Definition of Ring Vs Rng @Pete the Deskins book (well the dover reprint, I obsessively buy dover reprints for dirt cheap at used book stores) is the one I remember seeing, I was trying to track it down again but @Brian got it before me. Jun30 accepted The mathematics behind Clebsch-Gordan Coefficients Jun30 comment Definition of Ring Vs Rng Didn't really expect to start such debate. I haven't studied enough algebra to see the benefit of using one definition over the other. I didn't realize it was such a contentious issue. Jun30 comment Definition of Ring Vs Rng @Pete I've also encountered some textbooks that state $1\neq0$ as a ring axiom specifically to exclude the trivial ring. Why they do that is beyond me. Jun30 revised Definition of Ring Vs Rng added 195 characters in body Jun30 asked Definition of Ring Vs Rng Jun28 comment Examples of results failing in higher dimensions Proof by pictures still exists in higher math, for example see: en.wikipedia.org/wiki/Commutative_diagram . Although I agree that at the very least there is a rigor behind them. Jun28 comment Finding $\csc$ with $\cot$ @Adam trig functions represent relations between the sides of a right triangle. Excepting some corner cases (like $\theta = \frac{\pi}{2}$) you can always construct a right triangle that "represents" the trig relation. Jun28 comment Finding $\csc$ with $\cot$ @Adam as I pointed out in my comment, even though you checked 12 times you missed the clear arithmetic error Jun28 comment Finding $\csc$ with $\cot$ You did everthing right, but 9+16 = 25 not 27 Jun27 revised Number of occurrences of the digit 1 in the numbers from 0 to n added 41 characters in body Jun27 answered Number of occurrences of the digit 1 in the numbers from 0 to n Jun27 comment The mathematics behind Clebsch-Gordan Coefficients @Theo thanks for that, its what I get for working in a lab with a bunch of Russians - "gord-on" Jun27 asked The mathematics behind Clebsch-Gordan Coefficients Jun24 comment Number of occurrences of the digit 1 in the numbers from 0 to n While this is a correct way to approach this particular question, the actual problem in question (which is a project Euler problem) requires the sum total of all numbers that satisfy this condition for all digits 1-10. Not so easy (or fast) do with this brute force method (where do you set the upper search limit for instance?). Jun24 comment Number of occurrences of the digit 1 in the numbers from 0 to n This is a not-so-veiled attempt to elicit a solution to a project euler problem. Jun22 asked Alternative group laws over the reals Jun4 comment Reason why these two probabilities are equal (Picking Balls in exact order without Replacement) Intuitively there is a degeneracy between "sublevels" of the same ordering (i.e there are 12 different ways to pick AAABB but they are equivalent). Thus there is nothing special about one ordering versus another, therefore you would expect results that only differ in ordering to have the same probability. May31 comment Throwing All Numbers From 2 to 12 With Two Dice What do you mean by "expected". In other words, at what probability threshold do you draw the line - the probability of all numbers appearing approaches, but never hits 1. May24 suggested rejected edit on Linear Algebra Question