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Jan
24
comment Probability of multivariate normal being positive on each coordinate
I eagerly looked up your book because I wanted to see "more detail"... but there isn't any more detail, just a restatement of the same formula and a reference to Stuart and Ord's book.
Jan
24
revised Boundary sphere partial differential equation
deleted 108 characters in body
Jan
24
comment Fick's Law over Implicit Regions
The error message is totally unhelpful, but the problem is that t has to come first for some reason. You have to make it u[t, x, y] everywhere and do NDSolve[..., u, {t, 0, 1000}, {x, y} ∈ Ω], then it works.
Jan
23
revised Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
added 2 characters in body
Jan
23
comment 4 circular arcs, how plot the minimal surface?
Sorry, I would like to retract my close vote. This question asks for the minimal surface to extend beyond the boundary too.
Jan
23
comment 4 circular arcs, how plot the minimal surface?
There is now a solution at the generalized question Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
Jan
23
accepted Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
Jan
23
answered Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
Jan
22
comment Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
@Narasimham: Sounds like a good idea. And with ybeltukov's code, you can now try it! Let me know if you find anything interesting :)
Jan
22
comment How do I add custom deviation when using LinearModelFit?
LinearModelFit doesn't support NormFunction, but maybe you can get what you want using the Weights option. From the documentation: "With the setting Weights -> {w1, w2, ...}, the error variance for $y_i$ is assumed to be $\sigma^2/w_i$. By default, unit weights are used."
Jan
22
comment Long running ToElementMesh with very “large” domains
That should be x^2 + y^2 <= r^2 in your ImplicitRegion. But also, see my comment on the question.
Jan
22
comment Long running ToElementMesh with very “large” domains
I get all timings between 0.1 and 0.2 seconds on your code. Maybe a system-dependent issue? I have Mathematica 10.0.1.0 on Mac OS X Yosemite. (Also your copy-pasted result seems to be missing the first timing.)
Jan
22
revised Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
fixed some errors
Jan
22
comment ListPlot3D. Only plots about half of the data in a 3D matrix
That's really odd. I can't find the problem, but here's a workaround for the time being: ListPlot3D[Transpose@Partition[Last /@ data, 15], DataRange -> {{100, 2000}, {0.01, 0.08}}, PlotRange -> All, ColorFunction -> "Rainbow"] i.stack.imgur.com/mwQmc.png
Jan
22
revised ListPlot3D. Only plots about half of the data in a 3D matrix
formatted code
Jan
22
comment CPU usage ~18%, but Mathematica is fully running
If your CPU has multiple cores but your code is not parallel, then you will generally only use one core. (Unless you use some of the built-in functions that are already parallelized.)
Jan
22
comment Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
Fantastic! I for one am perfectly happy to provide an initial surface. @halirutan: For your curve one could simply form a "cone" by connecting all the points to the origin. I think that works for arbitrary curves, but I don't know if self-intersections will cause the result to get stuck in local minima.
Jan
21
awarded  Nice Question
Jan
21
comment Initial Value Problem with initial conditions as closed region
Another way to see all the solutions at once: ParametricPlot[{t, sol[p][t]}, {p, 0, 1}, {t, 0, 10}, Mesh -> {9, 0}] i.stack.imgur.com/YQ8EF.png
Jan
21
revised Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?
incorrect definition of Scherk's first surface