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  • 30 votes cast
Nov
3
accepted Finite rings of prime order must have a multiplicative identity
Nov
2
revised Finite rings of prime order must have a multiplicative identity
added 68 characters in body
Nov
2
asked Finite rings of prime order must have a multiplicative identity
Nov
2
accepted Intuitive way to understand covariance and contravariance in Tensor Algebra
Nov
2
answered Proof that polynomial multiplication works
Nov
2
comment What is the expansion of $(1 + x)^n$?
In binomial expansion its written as the sum over all the terms, that is $(x+y)^n = \sum_{k=0}^n \binom{n}{k} x^{n-k}y^k $
Nov
2
comment What is the expansion of $(1 + x)^n$?
It will be 1^n + x^n, that is, assuming n is prime and we are in a field with characteristic n !
Oct
30
comment Real world uses of hyperbolic trigonometric functions
Lorentz transforms can be understood as hyperbolic rotations. The caternary curve (a dangling string/chain) is really just cosh
Oct
30
comment What should the high school math curriculum consist of?
Statistics. it was an optional class in my HS, but if there is anything in math that is used more often and more maliciously to defraud people and persuade the public opinion I can't think of it. People should be aware of the limitations and the meaning of statistical results.
Oct
30
comment Simple Sequence Problem: Walk in the park
Use the chinese remainder theorem to solve the set of congruences. The days are prime for a reason :D
Oct
30
awarded  Citizen Patrol
Oct
30
awarded  Critic
Oct
28
revised Intuitive way to understand covariance and contravariance in Tensor Algebra
added 1768 characters in body; added 52 characters in body
Oct
28
comment Intuitive way to understand covariance and contravariance in Tensor Algebra
Thanks for the response. I wasn't implying I use the matrix picture for calculations, it was just my intuitive way to understand what a mixed rank-2 tensor represents.
Oct
28
comment The determinant is the integral of algebra. The integral is the determinant of analysis
I don't see how this is a good parallel,definite integrals can be understood as linear functionals acting on the space of integrable functions, and thus can be injected into linear algebra. But I find it hard to see how one can generalize the integral and determinant into general idea. IMHO they have many many more differences than similarities (the determinant is distinctly non-linear for instance).
Oct
28
comment Intuitive way to understand covariance and contravariance in Tensor Algebra
Would it be fair to say that a (m,n) tensor $X_{*m}^{*n}$ takes n vectors to and m-tuple of vectors? What does this map do with covectors?
Oct
28
asked Intuitive way to understand covariance and contravariance in Tensor Algebra
Oct
28
comment StarCraft II: Ladder math
Statistical equations have the nasty habit of introducing lots of symbols, numbers, and integrals. In the end though, it a pretty simple expression. Also, I dont think the phi's are meant to represent totient functions.
Oct
28
comment Two basic question on set theory
Using your own logic, how can you get 62 proper subsets out 2^6 total subsets? Why are you subtracting two and not one?
Oct
28
comment Two basic question on set theory
You could also get there directly, by asking how many subsets you can make out of {2,3,4,5,6} which 2^5 then subtract the one which is the whole set and get 2^5 - 1 = 31