# All Questions

135 views

### How can I obtain more significant digits? [duplicate]

I type f1[x_] := 12 x^5 - 975 x^4 + 28000 x^3 - 345000 x^2 + 1800000 x N[f1[15.5], 15] and obtain 3.74112*10^6 BUT It´s not true!!! the result is larger than ...
957 views

### How can I draw this particular phase diagram in Mathematica? [duplicate]

Sketch the phase diagram for systems with the following velocity functions where a and b are constants with ...
255 views

### Using an image as a moving object in an animation

I have following animation: ...
63 views

### Mapping a function of two arguments where the 2nd arg has a fixed value

I create three random images: i1 = Image[RandomReal[1, {8, 12, 3}]]; i2 = Image[RandomReal[1, {8, 12, 3}]]; i3 = Image[RandomReal[1, {8, 12, 3}]]; I can scale a ...
134 views

### Explicit, closed formula for recursive integral as a function of the recursive parameter

This is a follow-up of this question/answer. I'm working on a recursive integral more complicated than the one on the linked question, but this one can be used as an example. I would like to obtain ...
210 views

### Passing lists to functions in a manner that works like pass-by-reference in other languages?

Is it possible to use a list as a variable, i.e., to pass it by reference to a function? In particular, I have a two-dimensional array and a function to get one element specified by its position: ...
148 views

### Speed up manipulate by exporting each step as an image

Consider a manipulate function such as: ...
97 views

### Gaps in plots of equation solution from parameter

I'm trying to plot solution of system of equations as a function of parameter ...
157 views

### How do I include both text and variables in Input[ ]?

I want to prompt a user to input an answer to a question. I want the question that pops up to have both text and numbers or strings. For example, if I ask the user to give a name to something in the ...
114 views

### Can I force a function to quit and return some value after a certain amount of time has passed during its evaluation?

Imagine I provide some random input to function like FindInstance[], and I observe that, despite the existence of good solutions, the function will, with some ...
929 views

### integration on real domain only!

i am trying to integrate a real valued function. For some reason, Mathematica gives an answer in the complex domain. I'd be grateful for your answers. Here is the integral: ...
806 views

### How to show legend in a combined plot of many lists,

I am having trouble with adding a legend to a plot. The example I discuss here is simpler than my real problem, but describes it well. I have a vector, called X with dimensions (100 x 6). I use the ...
612 views

### Integral with the derivative of Dirac delta does not evaluate correctly?

Integrate[DiracDelta'[y - z] DiracDelta[x - z], {z, -Infinity, Infinity}, Assumptions -> x \[Element] Reals && x \[Element] Reals]
115 views

### Good Introduction / Tutorial to Mathematica **Books** [duplicate]

Possible Duplicate: Where can I find examples of good Mathematica programming practice? I'm a high school senior and am using Mathematica for a research project. However, I find it a bit ...
951 views

### How to get data from For loops to plot it?

How can I get data from For loops to use in ListStreamDensityPlot? I tried AppendTo, but it ...
643 views

### Plot 3D vector that is a function of one variable

I have a function, r[t], which is a piecewise function that generates a 3D vector. It looks like this: ...
84 views

### Implementing the Golden Section Rule

I am attempting to write a code which brackets the minimum of a unimodal function, using the Golden Section Method Below. I am have serious issues debugging my program though, any help will be ...
84 views

### Reduced interpolation order [closed]

I have a problem with Interpolation - the order is reduced to 1 no matter what, but I need a quadratic interpolation order. The ...
540 views

### How to simplify expressions containing derivatives

Is there a way to reverse the application of derivative rules in order to simplify expressions including derivatives? e.g. in Mathematica code: Want to go from ...
50 views

### Solve For X inside arc-cos function (with division) [closed]

Very basic but I've been stuck for more than 12 hours trying to solver this equation 20=360/(arccos(X/3200)*2) Can anyone solve X? and explain what exactly you ...
82 views

### How to integrate a table? [closed]

I have the following Table (dy/dx)={24,24.5,25,25.4} How do I proceed to interpolate the table and compute Integrate[Sqrt[1+(dy/dx)^2],{x,65,68}] ?
119 views

### plot data with small differences

I want to plot data with very small differences. I can't see the differences in my plot:
191 views

### How to pass arguments between functions

I have two Functions, f[] and g[]. f is passed some values ,say ...
113 views

### Integration with mathematica? [closed]

I am very new to Mathematica. I am trying to evaluate ∫ (1+lnx)Sqrt(1+(xlnx)^2) using Mathematica. I know a substitution must be done so I have set ...
339 views

### import Excel sheets by name

I'm importing data from Excel. It appears that the sheet number needed in the Import statement is taken from the order that the sheets appear in the open Excel file. I need to import 2 of the sheets ...
598 views

### Plotting a piecewise parametric curve [duplicate]

I have no idea how to plot the following piecewise parametric curve in Mathematica; ...
331 views

### How can I plot a function that is the sum of another function?

I plotted m[t], but actually what I want to plot is g[t], which is a summation of m[t] from ...
7k views

### Generating visually pleasing circle packs

EDIT: (my conclusion and thank you note) I want to thank you all guys for this unexpected intellectual and artistic journey. Hope you had fun and enjoyed it the same as I did. I would like to ...
7k views

### Programmatic approach to HDR photography with Mathematica image processing functions

The High dynamic range imaging (HDR or HDRI) direction in photography and image processing became very popular recently. Besides obvious photo art applications (see examples), there are many great ...
2k views

### How to visualize 3D fit

I have a data set of x,y,z values and I fit a function of x,y to the data. This works, but I can't come up with a nice way to ...
918 views

### Is there an easy way to use Matteo Niccoli's perceptual color maps for 2D plots in Mathematica?

I have been using the ubiquitous Jet color palette for 2D plots for some time now, and don't really care for it. Then I came across the series of blog posts, The rainbow is dead...long live the ...
2k views

### How to do http POST in Mathematica?

The Import command lets you do a HTTP GET from a URL, like this Import @ "http://merkosoncampus.com/wp-content/uploads/2011/05/higgs-boson.jpg" This sends an ...
598 views

### Mathematica and POV-Ray workflow (Q&A)

A couple of years ago, Alexey Popkov asked this question: Which ray tracing software is compatible with Graphics3D? It is my opinion, for various reasons, that out of the many ray tracing programs ...
652 views

### Is this the most effective and efficient programming style for prototyping (a ray tracer) in Mathematica?

I am trying out Mathematica as a prototyping tool. As an initial exercise I have put together a brute force ray tracer, with a view to using Mathematica's built in probability distribution functions ...
3k views

### How to create effect like Van Gogh's stroke brush?

I need to apply Van Gogh's stroke brush effect to a random image Take the following image as an example: Thank you so much if you could help!
2k views

### Mathematica2tikz an equivalent function

Matlab2tikz is script which generates native Latex/Tikz figures from MATLAB. I am looking for an equivalent method/function in Mathematica to generate similar results. Obviously the final script may ...
2k views

### FindFaces: how to improve the results of the face recognition feature

In Mathematica 9, the FindFaces command offers an easy way to detect faces. In some experiments, I've been getting reasonable results, but I'd like to know if there ...
3k views

### How to create this four-dimensional cube animation?

This is a tesseract, a four-dimensional cube, which contains two cubes. Here, each side length of the smaller one is 1, while the side length of the bigger one is 2. How do make I it? I am still ...
3k views

### How to generate a random tree?

Is it possible to generate a random tree without explicitly constructing a random adjacency matrix that satisfies tree properties? How about a random directed tree? Edit: incredible answer by ...
2k views

### Can the banner in the Home Edition be removed?

The Mathematica Home Edition shows a banner at the top of every notebook: Is there a way to (permanently) get rid of it, without violating the EULA? Edit Yesterday, I sent this message to WRI ...
1k views

### Symbolic solution(s) to generalized Heat equation

Symbolic solution(s) to Heat equation? or more generally,(eventually) Green functions to known PDEs I am interested in variations of the heat equation: or more generally or even more generally ...
2k views

### Is there a way to recreate the typical Red/Blue-Postereffect using Mathematica?

I think nearly all of us have at least once seen an image like this: So I wondered whether it is possible to recreate this effect using Mathematica because it seems like it wouldn't need that many ...
1k views

### What are some advanced uses for Block?

I read the answers to this question (What are the use cases for different scoping constructs?) and this one (Condition, Block, Module - which way is the most memory and computationally efficient?). ...
2k views

### Improve Plot3D resolution near max/mins

I have the following function $$V(r) = \sum_{i=1}^N 4 \epsilon_i \left(\frac{\sigma_i^{12}}{\|r-r_{0i}\|^{12}}-\frac{\sigma_i^6}{\|r-r_{0i}\|^6}\right)$$ which -for those interested- corresponds to ...
915 views

### Numerics with Mathematica

From time to time, I would like to use Mathematica purely numerically, e.g., plotting a function which is defined as an integral which cannot be solve analytically or a solution of a differential ...
1k views

### Tips on giving a lecture course using Mathematica

I've had a look at this question on giving presentations with Mathematica which is very useful on the technical side of setting up slideshows. However, my question is more about the integration of ...
1k views

### Smooth Peter de Jong attractor

Today I was playing with Peter de Jong attractor. At the bottom of the page I've linked there are beautiful examples like: My attempts are not so great: It is around 10^5 points. For more than ...
1k views

### Weather Maps with Mathematica

I've been trying to set up a weather map with Mathematica similar to what NOAA publishes in their website. So far I've been successful to bring the data over and extend it across the whole picture ...