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bio website primordialdream.tumblr.com
location Rutgers University, NJ
age 18
visits member for 1 year, 11 months
seen yesterday

This sums up my opinion of the global economy:

http://www.youtube.com/watch?v=gE2OjvyJmjE


2d
comment An exercise from Knuth's book - Proving a formula by induction
Post on meta.stackexchange, it's best to gauge the opinion of the community. If there isn't very clear opposition, I would be willing to create it.
Dec
16
comment An exercise from Knuth's book - Proving a formula by induction
I agree entirely with @Jean-ClaudeArbaut as far as creating tags for textbooks. But... This is after all the Knuth. You could create a tag (As they did in Stackoverflow) but that is due to the importance of the work. Not every textbook would get this kind of treatment, even on Stackoverflow
Dec
15
asked Meta Euler Lagrange
Dec
15
accepted Are the real numbers really uncountable?
Dec
15
comment Describe the solutions of the equation in terms of roots of unity?
Show some work, anything, just show what you have tried and done and thought so far
Dec
15
revised Describe the solutions of the equation in terms of roots of unity?
removed excess parenthesis, formatted expression into LaTeX
Dec
14
accepted Partial Derivatives versus Proper Derivatives
Dec
14
comment Partial Derivatives versus Proper Derivatives
That makes sense, at least the idea of, treat all other arguments constant, differentiate w.r.t. this one. But then the definition confuses me because other arguments also DEPEND on y' (namely y) so how to reconcile that? What are ALL the assumptions being made about partial derivatives
Dec
14
comment Partial Derivatives versus Proper Derivatives
But it also DOESNT care about any relationship two values share, where the values themselves are from different indices?
Dec
14
comment Partial Derivatives versus Proper Derivatives
I'm starting to understand, so a partial derivative doesn't actually take a function argument, ONLY an index
Dec
14
asked Partial Derivatives versus Proper Derivatives
Dec
14
comment Proper Bernoulli Function Generating Function
that is my motivation. I was considering how to generalize $$\sum_{i=0}^{x}[i^s] $$ which I has a relationship with the bernoulli numbers, so i extended the formula where i ranges from 0 to infinity (which doesn't change its value) but now makes sense for non-integral x. Yielding the previously mentioned formula for the sum of the square roots. Somehow I felt that understanding the behavior of the bernoulli generating function would make things clearer
Dec
14
comment Proper Bernoulli Function Generating Function
I believe this expression equals $$ \sum_{i=1}^{x}{i^{\frac{1}{2}}} $$
Dec
14
comment Proper Bernoulli Function Generating Function
So then is there a way to write: $$\frac{2}{3} \sum_{i=0}^{\infty}{(-1)^i \frac{\Gamma(\frac{3}{2})}{\Gamma(i)\Gamma(\frac{3}{2}-i)}B_i x^{(\frac{3}{2}-i)}}$$ in terms of the polygamma functions
Dec
14
accepted Proper Bernoulli Function Generating Function
Dec
12
comment Notion of complex optima
God this is really not what i was expecting. So complex "optima" are basically always saddle points?
Dec
12
comment Notion of complex optima
Is that related to this? en.wikipedia.org/wiki/Maximum_modulus_principle
Dec
12
revised Notion of complex optima
added 57 characters in body
Dec
12
comment Notion of complex optima
@HaraldHanche-Olsen , how does the global property of openness help make statements about the relationship between stationary points and the local regions around them? (I'm a bit of a newb @ complex analysis, forgive the inexperience)
Dec
12
comment Notion of complex optima
@MichaelGrant you have a valid point, but I have already made that specification in the second sentence. I suppose it would be easier to read if I just explicitly wrote $x \in C$ for future readers?