1
vote
0answers
88 views

NMaximize with matrix input

I defined function f[x_, fixed_] := {...}. Here x is an $M\times N$ matrix. I want to maximize $f$ with respect to $x$. I have ...
1
vote
0answers
54 views

Animated 3D graphics is low resolution [duplicate]

I'm trying to animate a 3D shape in Mathematica 7. It's working, but the graphics is extremely crude while animated. The resolution gets better if I stop the animation. Is there a way to get a nice ...
0
votes
3answers
453 views

Derive a smooth circle with cusp from an image

question 1 get the center (sample data) sample is the black circle with cusp. ...
0
votes
1answer
59 views

Color of numbers and defined functions [duplicate]

How do I change the color of numbers and the text representing defined functions in my notebook?
6
votes
1answer
117 views

How to export to .html .nb file together with links «in» and «out»

If use «File > Save As > HTML» links «in» and «out» are lost How to save a document without loss of these lines/links? UPD: You can write in the css rules (...
23
votes
2answers
1k views

Find radii of concentric circles in image

I have an image of concentric circles, I would like to find the radii of the circles (only the innermost few are important). I've had a go using what I could find in previous posts, but am a bit ...
5
votes
1answer
144 views

Importing Data with Line feeds

I am trying to import data from a CSV file into Mathematica that contains line feeds in certain elements that I wish to be properly rendered in Mathematica. I suppose this has something to do with the ...
2
votes
1answer
158 views

Effect of Block[] on iterators in Manipulate[]

The following is a toy example that hopefully shows the problem clearly enough. Why does the following code create a nice, manipulable output: ...
4
votes
2answers
258 views

Adapting “Find and Replace” functionality to work with Patterns

I was thinking if there is something like Find and Replace (Crtl+F) functionality adapted to work with patterns. Probably not, but it seems possible to create this with some effort and skills in ...
0
votes
1answer
498 views

How to simulate the response of a linear parametric varying system in Mathematica?

Consider the following system \begin{align} \dot{x}(t)&=\sum_{i=1}^{2}\rho_{i}(x(t))\left[A_{i}x(t)+B_{i}u(t)\right]\\ y(t)&=Cx(t) \end{align} with: ...
1
vote
1answer
132 views
1
vote
1answer
646 views

Fixed color scale in multiple density plots with Fixed PlotLegends scale

From the great answer of Mr. Wizard, I would like to learn how to implement the associated PlotLegends scaled too. Here is the simplest example with PlotLegends, which does not look to be scaled: ...
3
votes
0answers
127 views

Exporting multiple arrays in a single HDF5 file in Mathematica 7

I am using Mathematica 7 and I need to export a table of data and the corresponding x and y arrays. I would like to format them ...
5
votes
2answers
478 views

How to graph a series of coupled oscillators and watch the wave move along them

Here are the differential equations that set's up the 11 coupled oscillators. ...
2
votes
1answer
224 views

How to apply a free-form input Function using InputField

I am trying to take a free-form input Function to create a list using NestList. ...
4
votes
1answer
361 views

InverseFunction on an Interpolating Function is misbehaving

I am getting strange behavior when I try to calculate the inverse of an interpolating function for two similar data sets. My data sets are: ...
5
votes
2answers
909 views

How to label axes in 3D plot adequately?

The following code produces plot with axes labels, which are jumping constantly. ...
1
vote
0answers
41 views

3D plot changes it's size while rotating [duplicate]

When I am rotating drawn 3D plot by mouse it rotates Ok until mouse release. After that it slightly changes it's size instantly. Probably it tries to accommodate document layout or something. Is it ...
1
vote
1answer
121 views

Forming product of function of prime factors

Given a list of numbers each containing 2 prime factors, I wish to make a list of the products of the logs of each factor. For example, given L = {4,6,9}, I would like to form P = ...
18
votes
3answers
347 views

Unexpected result {“.a”, “co”, “.m”} from Sort[{“.m”, “.a”, “co”}]

I came across the following situation: Evaluating Sort[{".m", ".a", "co"}] Results in {".a", "co", ".m"} I wondering: ...
6
votes
1answer
219 views

Pattern definition for replacing plus and subtract

Suppose I have two functions $h_1(x)$ and $h_2(x)$, for which we know their sum and their difference: $$ h_1(x)+h_2(x) = d(x) \qquad h_1(x)-h_2(x) = i f(x) $$ I have a complicated expression, in ...
4
votes
1answer
557 views

White spots in ListDensityPlot

I have a problem with ListDensityPlot. I have some data on an irregular grid. I try to plot them with ...
0
votes
1answer
93 views

Recurrence equations with periodic coefficient

Suppose I have the following recurrence equation: $$ F_{i+1}P_{i+1}+F_iP_i-P_{i+1}+P_i=2J\,, \quad\textrm{with}\quad F_{i+L}=F_i,P_{i+L}=P_i\,. $$ $J$ is constant, $\{P_i\}$ are probabilities with ...
16
votes
4answers
1k views

Digital filter of image in Fourier space

Consider the contour plot below, of a function f(x,y) - which is calculated numerically by solving some equations. If one looks carefully, one can observe two types of waves, to the left and right of ...
3
votes
3answers
230 views

Write a function using pattern test to test whether the input is polynomial and print error message if not

I am doing this which is supposed to be an easy problem and which I think my code should be correct but for some reasons it is not working. May anyone help correcting my mistakes? How should I write ...
2
votes
2answers
510 views

Plotting rainbow circle [duplicate]

I am trying to plot a parametric circle in rainbow colors. It should go round once, but I'd like to be able to make it go round the rainbow an arbitrary amount of times. I currently have: ...
2
votes
1answer
370 views

Find elements of a list which are empty

Sorry for the most basic of questions. How would I find the positions of a list of elements which are empty, for example I have the list ...
3
votes
0answers
102 views

How can I control the controlplacement of Manipulate? [duplicate]

I want to place the Slider of manipulate as I want but I can't, help me to get rid of it ...
6
votes
2answers
631 views

Solution of equation with power series (perturbation)

So I need to use Mathematica to find the solution of $y=x- \epsilon \sin(2y)$ as a power series in terms of $\epsilon$. I'd assume I'd need to create an equation $f=x-y- \epsilon \sin(2y)$, then ...
1
vote
0answers
63 views

Changing GeometricBrownianMotionProcess function

Since the function GeometricBrownianMotionProcess is given by Mathematica I have some technical questions. If we consider the following example: ...
1
vote
1answer
102 views

Rounding only reals in an expression containing, reals, integers and symbols

I am trying to make a function that would make rounding real numbers in an expression possibly consisting of real numbers, integer numbers and symbols. An example of such an expression is below: ...
1
vote
1answer
126 views

How can I make images in the cell auto-adjust to some fixed-size

There is one auto-adjust item in the right-click menu of image in cell. And other related items are actual size and ...
9
votes
4answers
752 views

Aligning axes labels on multiple plots

I'm trying to create some "publication quality" figures, but Mathematica is fighting me all the way. So my question is: Should I switch to Origin? Please help! Well, all joking aside: I'm trying to ...
7
votes
1answer
419 views

Mathematica 9 can't integrate this function but earlier versions could

Integrate[ ArcTan[x]/(1 + x) Log[(1 + x^2)/2], {x, -1, 1}] I used Mathematica 9.0.1 on Windows7 32bit, Mathematica 9 cannot compute this, but Mathematica 8 gives ...
5
votes
3answers
278 views

label all vertices in polygon plot

Let's say I have the following plot Graphics[{Opacity[0.2], Rectangle[{0, 0}, {4, 4}]}] And I want to label all vertices on the graph to give their coordinates, in ...
35
votes
3answers
876 views

Why are my plots displaying behind the axes?

I need to create graphs with light gray axes and black lines. All of my plots display behind the axes. How can I make the plots display over the axes? ...
0
votes
1answer
416 views

Parametric Plot of coupled differential equations

I am able to plot a graph of all the differential equations, but I'd like a parametric plot of each individual one. Here is what I have so far. ...
3
votes
2answers
373 views

Create polygon using edge lengths and area

Four-sided convex land plots are usually denoted with edge lengths and area. How do I create a Polygon Object with these parameters in Mathematica ?
0
votes
0answers
101 views

Interpretation of output derivative expression [duplicate]

I am trying to write Mathematica file to find Div, Grad, Laplacian, etc. in coordinates ...
0
votes
0answers
127 views

FindFit for dimension reduction?

Given an n-dimensional function, can I use FindFit to produce an approximate (n-k)-dimensional function? Here is a simplified illustration of what I am trying to do. I have $$f(x,a,b,\mu,\sigma) = ...
13
votes
2answers
437 views

Problem importing URL with Greek characters

I'm considering buying a car. So I thought why not make a web-crawler in Mathematica to pile-up car data? Brilliant idea. Then I found this Greek website, gocar.gr, which just so happens to have all ...
3
votes
1answer
237 views

What's the main difference between FindClusters and ClusteringComponents? [closed]

In many cases, FindClusters and ClusteringComponents provide similar results. Options for hierarchical and agglomerative ...
2
votes
0answers
76 views

Finding and interpreting errors [duplicate]

This sounds like a fairly trivial question, but I can't think of any way to solve it. I am doing an extensive parameter sampling where a set of ODEs is used together with ...
4
votes
2answers
372 views

Coloring a shape according to a function

I would like to create a $2D$ shape, say an ellipse, where each point in the ellipse is colored according a RGB function, so at point ...
5
votes
2answers
349 views

How to make BSplineFunction pass each data point and naturally smooth?

(Old package, works good) ...
1
vote
2answers
190 views

Locator following other locator in DynamicModule

I'm trying to create a dynamic environment where I specify, using two locators, the initial condition (position (x,y) and velocity angle (alpha)) of a 2D particle. To simplify, I'm assuming the ...
4
votes
1answer
2k views

finding poles of a function

Is there a command to find the poles of a function $f=f(z)$? example: let $$f(z) = \frac{1}{z^2-1}$$ then we know that the poles are at $z=\pm 1$ but is there a special command in mathematica to do ...
10
votes
1answer
893 views

Mathematica code for hidden Markov models (HMM)

I am looking for some simple Mathematica code to model an HMM with just a few states and an equal number of observable signals (emissions). I am hoping to generate sample paths and keep track of the ...
0
votes
0answers
173 views

Change the order of magnitude on the y axis Ticks with ListPlot

I have some data plotted with ListPlot. The values on the y axis range from -411230.40068*10^9 to -411230.20005*10^9. Mathematica, when plotting the data, shows me on the y axis only the value ...
3
votes
1answer
138 views

Double Integral and Assumptions

I'm afraid this is going to be a really stupid question. Evaluating the following definite integral Integrate[Sqrt[1 - (x^2 + y^2)], {x, -1, 1}, {y, -1, 1}] ...

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