I find that the Export of Manipuate contains backforward play, see a simplified example: Export, {x, 0, 10}], {φ, 0, 2 π}]] You can see the problem in the SWF file. (I'm sorry that the exported SWF file cannot be uploaded here) Actually, I have two questions here, Is there ....
Is there a way to convert a string to a Table indicator?
I have a list like this: list = {"k1","k2"} I want to use the elements in the list as Table indicators: Table], 1, 2}, {ToExpression@list], 1, 2}] but I get an error: Table::write: Tag ToExpression in ToExpression]] is Protected. Is there a way to get the right answer like: Table ....
NDSolveValue::bcedge: Boundary condition is not specified on a single edge of the boundary of the computational domain
I'm solving a Schrödinger's Equation in 1d, where $\Omega$ is the domain, bcs the periodic boundary condition, init the initial condition. eqns = {I D, t] == -1/2 D, x, x] + 1/2 (x^2) ψ}; Ω = Interval; bcs = {ψ == ψ}; init = {ψ == Exp}; sol = ....
Colorize a 3D distribution of points according to density
Suppose we have some random 3D distribution of points. I'll use the spherical ball defined below as an example and a starting point for the discussion here : Ball:=TableCos, #1 SqrtSin, #1 #2 } &], Random, Random ],{num}] Graphics3D,Point]},Boxed->True,BoxRatios->{1,1,1},ImageSize->800,SphericalRegion->True] This code produces the ball shown here : I would like ....
Find convenient numeric solution to intersection contour?
Consider the following contour of intersections between two analytic expressions: ContourPlot (x^2 + Cosh y^2) == y^2, {x, -1, 1}, {y, -2, 2}] The above nicely visualizes the intersection set, and also implies that the implementation of ContourPlot contains a very efficient algorithm that evaluates the intersection region numerically before ....
the number of values problem
I have the following problem. I have to generate 100 random values and make a list. From this list I will randomly select 60 values and calculate MeanCI <- This procedure must be repeated 100 times. I have to calculate the ratio between intervals MeanCI in which there is zero ....
Solving Cahn-Hilliard equation: LinearSolve: Linear equation encountered that has no solution
I have built the Cahn-Hilliard Eqs. in MMA (Mixed Formulation, second order), However, it doesnot work in MMA using Finite Element. LinearSolve: Linear equation encountered that has no solution. And "... are not the same shape". Theory & numerical formulation based on this FEniCS Benchmark Test enter link description here ....
How to find disjoint subsets such that union of the sets give the motherset or main set?
Let us define a set $\mathcal{S}=\{1,2, 3,\cdots,67\}$. I have a list of 132 subsets. I want to obtain 16(or 17) mutually exclusive subsets such that union of such 16(or 17) is equal to $\mathcal{S}$. In the case of 17 subsets, 2 subsets will have one element in common. Here is ....
Speed up iteration of pair of fully coupled recursion equations
I am trying to do several hundred iterations of these fully coupled recursion equations (but will use twenty iterations for the example). ClearAll x1 := x1 = (1 - m) x1 + m x2 x2 := x2 = (1 - m) x2 + m x1 x1 := 1 x2 := ....
How to calculate arbitrary area on surface of sphere?
I am trying to calculate the solid angle (https://en.wikipedia.org/wiki/Solid_angle) subtended by arbitrary-shaped loops on a sphere's surface. First, I parametrize circular loops by: $$\theta(t,k_{x0},r) = k_{x_0} + r \cos(t);$$ $$\phi(t,k_{y0},r) = k_{y_0} + r \sin(t);$$ where $0\leq t\leq2\pi$, and $k_{x_0}$, $k_{y_0}$ define the loop's center. So, we can say that ....
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