755 reputation
415
bio website physics.uwa.edu.au/~styler
location Melbourne, Australia
age 33
visits member for 4 years, 1 month
seen Sep 17 at 12:15

Jun
10
comment Finding power series representation of $ \int_0^{\frac{\pi }{2}} \frac{1}{\sqrt {1 - k^2\sin^2{x}}}\;{dx}$
Are you sure that the result you're trying to get is correct? The is an elliptic integral of the 1st kind, but the sum just yields a simple square root. (Type the following into Wolfram|Alpha: Integrate[1/Sqrt[1 - k^2*Sin[x]^2], {x, 0, Pi/2}] and Sum[k^(2 n) (2 n - 1)!!/ (2 n)!!, {n, 0, Infinity}])
Jun
5
awarded  Announcer
May
30
revised Tables of Hypergeometric Functions
stupid and embarrassing typo
May
29
answered Tables of Hypergeometric Functions
Mar
10
revised How does the method of Lagrange multipliers fail (in classical field theories with local constraints)?
Emphasized the field theory / functional case
Mar
7
comment How does the method of Lagrange multipliers fail (in classical field theories with local constraints)?
PS sorry it took me so long to reply - you forgot to address your comment to me, so I wasn't notified of it.
Mar
7
comment How does the method of Lagrange multipliers fail (in classical field theories with local constraints)?
I was actually looking at a pointwise constraint $g(\phi(x))=0$ - so it's codimension is infinite (I guess). Why is the variational/functional derivative is not a good analog of the partial derivative in the finite dimensional case?
Mar
6
awarded  Organizer
Mar
6
revised Derivative of $(a\,x)^{b\,x}$
Added brackets...
Mar
6
comment Derivative of $(a\,x)^{b\,x}$
The link for the first example is wolframalpha.com/input/?i=D[(a*x)^(b*x),x]. Does anyone know how to get Wolfram|Alpha links working properly in the markup?
Mar
6
revised Derivative of $(a\,x)^{b\,x}$
fixed image
Mar
6
suggested suggested edit on Derivative of $(a\,x)^{b\,x}$
Mar
6
answered Derivative of $(a\,x)^{b\,x}$
Feb
28
comment Div, curl and linear algebra
There's something not quite right about this....
Feb
28
revised Div, curl and linear algebra
added 18 characters in body
Feb
28
revised Div, curl and linear algebra
added 30 characters in body; added 12 characters in body
Feb
28
answered Div, curl and linear algebra
Feb
27
awarded  Commentator
Feb
27
awarded  Autobiographer
Feb
27
comment How does the method of Lagrange multipliers fail (in classical field theories with local constraints)?
Thanks Christian. I never found this explanation completely satisfying - but I think that I'm coming around to liking it now. How does this understanding generalize to functionals - eg optimizing $\int f(x,\phi(x),\phi'(x)) dx$ wrt some constraint $g(\phi(x))=0$?