1,233 reputation
920
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location Berkeley, CA
age 24
visits member for 3 years, 7 months
seen Jan 27 at 23:56

I'm a physics student at the University of California.


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
Oct
27
comment How safe is it to ignore low probability events?
my point is that in most cases, a MTTF estimate includes a huge number of assumptions about what you know about the system. In a mathematically "closed" problem like SHA-256 you can be confident in these assumptions. But in most cases, multiple failure pathways are overlooked.
Oct
27
comment How safe is it to ignore low probability events?
If the totalitarian principle is to be believed then everything not forbidden is compulsory
Oct
27
comment Difficulty in Mathematical Writing
I understand your pain. I have lost many marks on exams a d assignments because my proof writing style is too informal.
Oct
27
comment How safe is it to ignore low probability events?
Failure rates estimates are entirely unreliable. take for example, the Space Shuttle. Official stated MTTF is >10K launches. As both Feynman (who was on the Columbia disaster investigation committee) and reality showed, the real number is close to 50.
Oct
27
awarded  Commentator
Oct
27
comment Windows lightweight Math Software
@Vojtech It's pretty good for basic plotting. It has a syntax that is pretty much identical to matlab. A lot of people (me included) use it to plot figures for papers
Oct
27
revised Windows lightweight Math Software
deleted 10 characters in body