10
votes
1answer
632 views

Growth of functions

Does somebody know if Mathematica can be used to calculate the growth of functions, that is in Big O, Theta, and Omega and find proper $n_{0}$ and $c_{1}$, $c_{2}$ respectively?
10
votes
1answer
830 views

Copying an image from the clipboard, modifying it and returning it to the clipboard

I have a Mathematica script to help me copy images from PDFs and then make the (presumably white or nearly white) background transparent. Typically, I am looking at the PDF in Adobe Acrobat and I ...
10
votes
3answers
706 views

How to plot layered graphs?

Given a directed acyclic graph, there is always a possibility to plot the graph as layers, where nodes always send edges into one direction (usually down), to successive layers, and never backwards. ...
9
votes
3answers
534 views

Finding “Maxima” and “Minima” on a B-Spline

I need to find the "Maxima" and "Minima" on a B-Spline or more correct the points where the 2nd components of the derivate equal zero. For example: ...
9
votes
2answers
212 views

Partitioning a superset of coordinates into subsets that generate continuous curves

Consider the data set corresponding to recorded trajectories for a particle: ...
9
votes
3answers
2k views

Composing an image with a plot

I'm trying to illustrate the solutions to a textbook problem dealing with quadratic functions. This will involve plotting a quadratic and overlaying the plot and the image. Here is the textbook ...
9
votes
1answer
130 views

How does AutoStyleWords work?

The title says it all. I assume it provides some way of automatically applying a certain style, or a list of options, to certain words written, just like other options of the sort like ...
9
votes
4answers
810 views

Create shortcut in Mathematica for “Equal Symbol Aligned Math Cell”

How do I create a new shortcut for creating a "Equal Symbol Aligned Math Cell" in Mathematica 8? Update I meant a keyboard shortcut. An "Equal Symbol Aligned Math Cell" is exactly what @Heike ...
8
votes
2answers
371 views

How to create custom Graphics primitive?

How to create custom Graphics primitive? It should have the following properties, resembling properties of built-in geometric figures, like ...
8
votes
2answers
186 views

How to simplify an expression with special functions to zero

The following is a well-known Bessel function identity: $$J_{-n}(z)=(-1)^n J_n(z),\qquad n\in\mathbb Z$$ To check this, I used the following code and the result is as what I expected. ...
8
votes
4answers
626 views

Showing a rectangular plot on an almost-closed sphere

I am currently teaching some students about the "point at infinity", and how it allows us to treat circles and lines as "the same", etc. I would like to kind of show this happening with a series of ...
8
votes
1answer
428 views

What is the difference between prefix/postfix notations and map?

I am new to Mathematica and just experimenting with the different programming constructs. I have been looking at Map and how to evaluate a function for a list of ...
8
votes
3answers
822 views

Ηow to create an interpolated CDF from its samples?

I want to use a distribution I have only aggregate statistics on, namely its CDF sampled at certain points. I would like to keep it "nonparametric" (remain noncommittal on the parametric form), but I ...
7
votes
2answers
229 views

Intersection for lists of numeric data

I know that Intersection is a pattern matching function and will not evaluate list elements to determine if two or more list have equal elements. So my question is, ...
7
votes
3answers
372 views

Parametric regions

I'm trying to plot $a x^2 + b x + c$ where $a, b, c$ (and $x$) take on a range of values. I tried ...
7
votes
1answer
810 views

Efficient backtracking with Mathematica

Backtracking is a general algorithm for finding all (or some) solutions to some computational problem, that incrementally builds candidates to the solutions, and abandons each partial candidate c ...
7
votes
4answers
202 views

Are persistent variable values after the kernel is stopped possible?

Is there a way to make values of variables persistent even after the kernel is stopped? Example, if I were to set up a list for which I append new list items (such as a check ledger, as a basic ...
6
votes
1answer
575 views

Using a compiled function inside NIntegrate gives “CompiledFunction::cfsa” message

The following function is defined for Real input: FFc = Compile[{{x, _Real}, {EF, _Real}},If[x > EF, 0., If[x == EF, 0.5, 1.]]] FFc is now used in the ...
6
votes
1answer
235 views

Module variable scoping in Scheduled Tasks?

I ran across a scoping puzzle while experimenting with ScheduledTasks, and I'd be grateful for an explanation from the sages here. I found a workaround by intuitive horse sense, but was unable to ...
5
votes
3answers
503 views

Using transparency in ContourPlot makes mesh visible [duplicate]

I am trying to use a ColorFunction with Opacity in ContourPlot. Here's my code: ...
5
votes
3answers
281 views

Highlighting text with StringReplacePart but also using Style, Subscript

For a Natural Language Processing analysis task it's desirable to highlight a text string programmatically according to XML tags that reference specific words or phrases. The XML tags specify the ...
4
votes
2answers
191 views

Manipulate changing controls

Is it possible to use Manipulate and Switch to change the Manipulate controls? ...
4
votes
3answers
530 views

Simplify function notation

I have some calculations with arbitrary functions. In the output, Mathematica always shows the functions with its arguments. I would like to tidy the notation a bit, by hiding the arguments in the ...
4
votes
1answer
456 views

Rasterized image together with vector-graphics axes

Following some of the questions here on Mathematica Stack Exchange, I am trying to export an image that contains a rasterized object and vector-graphics axes. Here is an example: ...
4
votes
5answers
2k views

Using implicit differentiation to find a line that is tangent to a curve at a point

A few days ago I asked about using differentiation to find a line that is tangent to a curve at a given point. J.M. provided a very elegant way to solve these kinds of problems in Mathematica. Now ...
3
votes
4answers
341 views

How to transform this matrix & swap its columns in a simple way?

I would like to transform matrix $\mathbf A = \begin{pmatrix} a&b&i&j\\ c&d&k&l \\ e&f&m&n \\ g&h&o&p \end{pmatrix}$ into matrix $\mathbf B = ...
3
votes
3answers
426 views

Limiting form of a polynomial expression

When simplifying an expression by hand, a trick that is often used is to remove terms that are lower powers of the independent variable, for instance, as $x \rightarrow \infty$, $x^2 + x$ becomes ...
19
votes
5answers
1k views

Morphing Graphics, color and location

I would like to make a small animation : 1-We start with a random distribution of gray points : ...
18
votes
3answers
594 views

Creating DotPlots

I've been struggling to create a DotPlot like the one shown in Cleveland's The Elements of Graphing Data. Using the following dataset ...
17
votes
4answers
1k views

Setting the default font for PlotLegends

I'm pleased that Mathematica 9 appears to have brought us prettier legends. If I always want the legend in ...
17
votes
4answers
372 views

Function that caches when it returns unevaluated

How would you go about implementing a function that caches not the result but the fact that it didn't match a pattern? So that it doesn't waste time recomputing a complex time-consuming pattern ...
16
votes
1answer
319 views

Upvalues, TagSet and UpSet, what's the difference, when should a use each?

Some of the big mysteries of Universe Mathematica for me is the application of UpValues. I know about this question and know the very poor Mathematica documentation on that. I'm very curious to know ...
16
votes
2answers
1k views

Difference between AbsoluteTiming and Timing

I need to evaluate the efficiency of my code. Therefore I would like to evaluate the time the code need for some calculations. Mathematica gives me two possibilities for this kind of evaluation: ...
16
votes
1answer
362 views

What does “suitable for symbolic manipulation” in the documentation mean?

This question is related to this other one I posted on Stack Overflow some time ago. There, in a beautiful answer, acl (with some unhumble editing done by me) showed that the derivative of ...
16
votes
1answer
333 views

Estimating progress on plots

When plotting a slow function, it would be nice to know how much of the work has already be done. However due to the refinement algorithm, simply monitoring the integration variable doesn't give an ...
16
votes
1answer
497 views

When importing GIF animation, how to find the correct list of “DisplayDurations”?

When importing GIF animations with variable frame durations, the settings for "DisplayDurations" are not recovered correctly. As an example, I'm using the movie from this earlier question: Here I'm ...
16
votes
2answers
457 views

Ad hoc graphics primitives-like objects

Sphere is one of the three-dimensional graphics primitives available in Mathematica and can be easily used to created very useful images. For instance, in the ...
15
votes
2answers
725 views

Why do certain values in ArcSin not fully evaluate?

This is a continuation of: Why do certain fractional values in TriangleWave not evaluate? The analysis by R.M and rasher revealed that problem to reduce to the behavior of: ...
15
votes
2answers
1k views

How to get StreamPlot to draw many hundreds of streamlines?

For artistic reasons, I want to draw an extremely dense StreamPlot with something like a thousand streamlines. I tried setting ...
15
votes
6answers
684 views

On generalizing Partition[] (with offsets) to sublists of unequal length

The usual Partition[] function is a very handy little thing: ...
14
votes
7answers
607 views

A function that accepts a pair or a list of pairs

Probably a duplicate, but it's not easy to search on "lists". I have a function that accepts a list of lists, say {{a1, b1}, {a2, b2}, {a3, b3}} and performs some ...
14
votes
1answer
269 views

Is the sharing of variables in Module/Block within Compile documented behavior?

Today I noticed something, I think for the first time. When used inside Compile variable values within Module (and ...
14
votes
4answers
2k views

Creating overlapping histogram plots

I am plotting two histograms on the same graph: g1 = Histogram[bc, ChartStyle -> {Red}] g2 = Histogram[bcx] Show[g1, g2, PlotRange -> {{0.1, 0.6}, All}] ...
13
votes
2answers
1k views

How do I add arrowheads to circular arcs?

I have figures containing several arcs showing the extend of angular measures, and would like to indicate the directions in which angles are measured with arrowheads. How do I add an arrowhead at the ...
13
votes
4answers
667 views

Constructing a list that includes a leading zero (01,02,03 … 55, 56, etc.)

I am constructing a list for use in file operations. Say I want to create list which contains values from 01 to 87. The kicker is that the first nine integers need ...
12
votes
2answers
629 views

How can I efficiently “remap” an image?

Many image processing libraries like OpenCV, Intel Performance Primitives or Octave have a useful function called "remap", that takes an image, an array with X coordinates and an array with Y ...
12
votes
1answer
297 views

What is the real default CellEvaluationFunction?

The default CellEvaluationFunction is Identity but one can quickly see that this is handled specially as an equivalent function, ...
12
votes
1answer
233 views

using MathLink for communication with external program from my C program without Mathematica

I have a compiled program with MathLink. I want to use it from other C program, without Mathematica being involved at all. If i create my program with MathLink and connect to this external program, ...
12
votes
4answers
2k views

Graphics plot of point using unfilled circle

I'd like to be able to place points on a plot using Graphics[{Point[{a,b}],....}] but have the plot symbol be an unfilled circle. I've looked around but can't find ...
12
votes
2answers
428 views

Are there advantages to using generalized Part extraction instead of specialized functions like First, Last?

There are many ways to extract different parts of lists in Mathematica. For example, the first part of a list v can be accessed either as ...

15 30 50 per page