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10
votes
3answers
1k views

help to plot Poincare section for double pendulum

I am reading a book about classical mechanics. In the chapter about chaos, it gives the simplified and scaled equations for double pendulum as $$ \frac{d}{dt}\left[ \begin{matrix} \alpha \\[3mm] ...
4
votes
2answers
181 views

Reduce with Integer domain, but receive a rational solution

I want to find the integer values $k$ so that D[f[x], x] has integer solutions. I tried ...
3
votes
1answer
94 views

Cannot use CTRL + F and UN/COMMENT

I would like to ask a question with Mathematica 9.0.1. I find that both FIND: CTRL + F UN/COMMENT: ALT + / become unavailable. Pressing the shortkey or selecting from the menu could not activate ...
8
votes
1answer
270 views

How does LocationTest choose its “AutomaticTest”?

Is there a way of determining how LocationTest chooses its "AutomaticTest"? Sometimes it's clear from the ...
7
votes
3answers
120 views

Disable rounding up of PolarAxesOrigin

How to disable rounding up the radius which is used to calculate the origin of the polar axes with the option PolarAxesOrigin? Example: ...
2
votes
0answers
34 views

The value of PageWidth doesn't work for saving as HTML?

CellPrint@Cell["Test","Text",PageWidth->300,Background->Red] And I got this snippet of HTML code: ...
6
votes
0answers
152 views

Issue with FindCurvePath

I have a problem with the function FindCurvePath. In some cases it crashes the Mathematica 9 Kernel. Here an example, where it crashes the kernel: ...
19
votes
2answers
390 views

Graphics elements do not line up perfectly in exported PDFs

Graphics elements do not always line up perfectly in exported PDFs using "Save As..." method. Take, for example: ...
6
votes
0answers
166 views

Documentation for user-defined functions; undocumented documentation feature?

I stumbled on some strange behaviour when trying out the new function template and documentation features, now purportedly working in v 9.0.1. I defined a function ...
14
votes
4answers
241 views

Unexpected dots from Line

I have noticed cases where Line produces dots in a graphics object when I think it shouldn't. The first of these is: ...
3
votes
1answer
94 views

Is there really a bug in the following code, taken from the reference documentation for PetersenGraph?

PetersenGraph[5, 2, EdgeLabels -> {8 \[UndirectedEdge] 9 -> "hello"}] appears to evaluate perfectly, as expected, but in my version 9.0.1.0, the option ...
1
vote
1answer
102 views

Manual CellGrouping option causes crash at cell evaluation

Update: Try to reproduce this behaviour with CellGrouping set to manual. To do that: either evaluate ...
6
votes
1answer
72 views

Infix strange behaviour

Maybe this is a bug or maybe Infix acts differently than the other functions. The fact is that both: TreeForm[Infix[f[x, a]]] and ...
5
votes
0answers
174 views

Strange Integrate behavior (a bug!)

The following two calculations should give the same result. After all, integration is a linear operation. I have pasted the code below in case you want to play with it. ...
16
votes
1answer
244 views

Bug in RepeatedNull?

RepeatedNull appears to be buggy (versions 8.0, and 9.0). Define f as follows: ...
8
votes
1answer
313 views

Inconsistent results of second derivative of inverse fourier transform

I am trying to get the Green's function of a toy diffusion equation $$\frac{\partial^2 u(x,t)}{\partial x^2} = \frac{1}{\alpha^2}\frac{\partial u(x,t)}{\partial t}$$ with Mathematica 9. Then solve ...
10
votes
2answers
126 views

Rasterize uses default stylesheet if ImageSize is specified

If I make a style definition which affects GraphicsBox, the style is used by Rasterize unless I specify an explicit ...
18
votes
1answer
306 views

Kernel inexplicably hangs if I define a pure function without suppressing output

Save any unsaved work before trying as it may crash Mathematica and other programs by filling up the memory! In v9.0.1.0 on OSX 10.8.5, if I start a new session and define two functions ...
4
votes
0answers
138 views

Syntax error for optional pattern, but only in debugger

This expression (explained here by Leonid) evaluates fine unless Evaluation->Debugger is enabled: h[x : (_Integer) : 1] := x Syntax::sntxf: "x:" cannot be ...
4
votes
1answer
192 views

Numerical errors/inaccuracies in ProductLog

Context In cosmology, a fairly accurate model to describe the gravitational potential, $\psi(r)$ of dark matter halos is given by $\psi( r)=\log(1+r)/r$. ...
18
votes
1answer
451 views

Incorrect result from Integrate

I attempted to calculate the following integral: ...
8
votes
2answers
346 views

Goto and Compile

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5
votes
1answer
114 views

Apparently contradictory output from Series and D

I defined a function as: g[b_] := Integrate[f[n]Exp[-b DA (n.u)^2], n] Obviously D[g[b], b] /. b -> 0 gives ...
12
votes
3answers
213 views

Wrong numerical value while exporting to a JSON string

The following code: ExportString[{"a" -> 2000000., "b" -> 0.000001}, "JSON"] Gives the results ...
4
votes
1answer
128 views

Forcing optimal solution for FindShortestTour

I use FindShortestTour as explained here and it works nicely for a small number of cities. However when I try this with as little as 16 cities, the given tour isn't ...
1
vote
0answers
91 views

LinearProgramming errors

I have a family of equations I want to solve over the non-negative integers. One particular instance of it is this. ...
5
votes
1answer
234 views

ListDensityPlot crashes the kernel

ListDensityPlot[ Flatten[Table[{i, j, Sin[i + j]}, {i, 1, 20}, {j, 1, 20}], 1]] gives the expected result, but a linear scale crashes my kernel (please save your ...
6
votes
1answer
226 views

ReadList can't read correctly

I'm trying to load some data into Mathematica from some files generated by fortran. But ReadList seems can't get the number correct. Here is a simplified version of the problem: ...
5
votes
0answers
122 views

The same analytical expression gets inconsistent FourierTransform results

I have an expression which is just a linear combination of plane waves, and I'd like to calculate FT of it. I know what I will get should be a bunch of delta functions, but it turns out Mathematica ...
13
votes
4answers
829 views

Mathematica gives wrong result while Wolfram|Alpha is correct

Why does Mathematica and Wolfram|Alpha give different results based upon the same code? I know Wolfram|Alpha's 7.85 is correct.
21
votes
2answers
287 views

Plotting a defined function gives different results from plotting the function directly

Consider the following piece of code: function[t_]:=Exp[-9 t^2]; LogLogPlot[{function[t],Exp[-9 t^2]},{t,.01,100}] I expect the two plots to exactly overlap each ...
4
votes
3answers
205 views

Why the inequality does not take into account the domain?

I have this inequality: Reduce[(4000-1000k)/(k-4) < 0] and the answer is k ∈ Reals I would expect ...
9
votes
1answer
279 views

Mathematica: computing a difficult integral

I am trying to compute the following integral: Integrate[Exp[Sum[-((cw λ - b[i])^2/(2 σ^2)), {i, 1, n}]], {cw, 0, 1}] And currently Mathematica outputs ...
6
votes
1answer
481 views

Issue with NSolve

I defined the following function: sw[ θ_, ϕ_, h_] = 1/2 Sin[2 (ϕ - θ)] + h Sin[ϕ] Based upon whether I use Solve or NSolve, ...
6
votes
1answer
81 views

Setting PropertyValue for VertexWeight is not persistent

g = CompleteGraph[8, VertexSize -> Medium]; PropertyValue[{g, VertexList[g][[1]]}, VertexWeight] = 10; PropertyValue[g, VertexWeight] ...
9
votes
1answer
286 views

Deconvolution of Image3D object using ImageDeconvolve

I am trying to get the ImageDeconvolve function to work with Image3D objects. In the documentation of ImageDeconvolve it says: ...
1
vote
1answer
115 views

ParallelTable of ParametricNDSolve objects fail

There seems to be a problem with ParametricNDSolveValue togeteher with ParallelTable First we create a ParametricNDSolveValue object ...
1
vote
1answer
144 views

ParametricNDSolve: Fails to differentiate an matrix differential equation

It seems like there is a problem with differentiating a ParametricNDSolve object when the underlying system contains an matrix differential equation. Create a simple ParametricNDSolveValue object ...
4
votes
0answers
70 views

Error with String patterns producing Removed[“$$Failure”]

While working on How to capitalize the first letter of each word in a string and trying to understand why certain characters were not considered letters I tried this: ...
9
votes
1answer
255 views

Possible bug with second argument of Dynamic

According to the documentation, Dynamic Details & Options section, especially: For interactive mouse operations Dynamic[expr,{f_start, f, f_end}] typically ...
7
votes
3answers
389 views

Poor quality Rasterize output when Background -> None

I am attempting to generate partially transparent images for PNG Export, but seem to run to the following issue. If I Rasterize ...
9
votes
1answer
110 views

FindHamiltonianCycle is not invariant to edge permutation

Found this bug-like behaviour today: if the order of edges is changed so that VertexList does not return the vertices in canonical order, ...
7
votes
1answer
100 views

Bug in GeneratingFunction?

According to the documentation GeneratingFunction[a[n],n,x]==Sum[a[n]x^n,{n,0,Infinity}] However, for $a_n=1/(n+2)$ I obtain ...
12
votes
1answer
231 views

MapIndexed and Compile

I am having trouble compiling a function that uses the MapIndexed function on the second level. The compilation runs fine, but at evaluation time I get an error ...
4
votes
4answers
134 views

How do I emulate DiscreteUniformDistribution in Mathematica?

How do I define a function from scratch that emulates DiscreteUniformDistribution? As shown below, attempting to use ...
5
votes
3answers
264 views

BSplineFunction derivatives wrong if using weights?

In my work, I make heavy use of non-uniform rational B-spline (NURBS) functions, defined using the function BSplineFunction with the option defining ...
2
votes
2answers
427 views

EdgeRenderingFunction question

Bug introduced in 9.0 and fixed in 10.0.0 (Edit 1 : I added this paragraph after the original post, for context) Some context for this question can be found in another post ...
9
votes
1answer
285 views

Mathematica9: NDSolve slows down after repeated calls

I have noted that in Mathematica 9 my code, which involves a lot of calls to NDSolve, slows down considerably after some time. Apparently, the problem is NDSolve itself and it seems to be related to ...
7
votes
1answer
316 views

Why does Simplify with TimeConstraint return Removed[$$Failure]?

Bug existed in version 7 and is fixed in version 10.0.0 I have a rather ugly Mathematica expression (edit: shown below) that I would like to simplify with a time constraint; simplifying without a ...
25
votes
2answers
540 views

eigenvector bug?

Bug introduced in 7.0.1 or earlier and fixed in 10.0.0 I have a fairly simple $3\times3$ complex matrix, $$ M=\left( \begin{array}{ccc} \frac{7}{2}-\frac{i}{2} & -1+i & \frac{1}{2}+\frac{5 ...