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This sums up my opinion of the global economy:

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


1d
comment How to evaluate trigonometric functions by pen and paper?
i like this because it highlights how the ancients could pick arbitrary high levels of accuracy without the use of power series. (although eventually the amount of pen and paper work would be maddening)
1d
comment Derivation of Euler Lagrange Equation
So if we let $J = g(x) + e * n(x)$ such that g(x) is the optimal solution, and n(x) some function such that n(a) = n(b) = 0, and e is the magnitude of 'perturbation' we are noting that J satisfies: $\int L(x,J,J') dx = H$. And if this is true, what is our next objective and why?
1d
comment Derivation of Euler Lagrange Equation
so to confirm the action is the quantity H in the expression $\int L \space dx = H $?
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comment Derivation of Euler Lagrange Equation
Can you elaborate on that? The terms I don't exactly understand are 'action' for example intuitively when optimizing f(x): df/dx = 0 corresponds to a point where one cannot go any further with minimizing/maximizing a function. In that sense I am curious how solving $\frac{\partial G}{\partial e} = 0 $ corresponds to a local optimum
1d
comment How do I show that $\sqrt{5+\sqrt{24}} = \sqrt{3}+\sqrt{2}$
Welcome to the wonderful world of denesting radicals! There do exist methods for doing this (ex: Landau' Algorithm) but none are particularly fast or trivial. Your best bet in general is just to assume the answer has a particular form (ex: if i assume $\sqrt{5 + \sqrt{24}} = \sqrt{a} + \sqrt{b}$) then you can find it
1d
comment Evaluate $\int x \sqrt{1 - x^4} \,\mathrm{d}x$
that addendum is really elegant
1d
asked Derivation of Euler Lagrange Equation
Mar
31
awarded  Notable Question
Mar
31
comment Quadratic Operator Notation?
Not sure if I have learned something since I posed the question or just was plain stupid since this made perfect sense today
Mar
31
accepted Quadratic Operator Notation?
Mar
2
comment How many squares actually ARE in this picture? Is this a trick question with no right answer?
there are no lines formed there so those i don't think are counted
Mar
2
comment How many squares actually ARE in this picture? Is this a trick question with no right answer?
How did you make this gif? (unrelated to math I know but...) I've been always curious to learn how to make gifs!
Mar
2
answered Explain Normalization in Layman's term
Mar
1
comment Wrting equations for work rate problems
is your mathjax displaying? I'm unable ot get this to display
Mar
1
answered Wrting equations for work rate problems
Feb
17
awarded  Popular Question
Feb
14
answered Transforming a matrix from cartesian to spherical coordinates
Feb
14
comment Limit of $\frac {n^n}{n!}$
Stirling's formula may be helpful here: en.wikipedia.org/wiki/Stirling's_approximation
Feb
14
comment Expressing the determinant of a sum of two matrices?
@ABlumenthal I'm having a hard time comprehending your link although it seems to answer my question. Can you explain it to me?
Feb
12
revised Expressing the determinant of a sum of two matrices?
added 52 characters in body