What is Mathematica: Definition and 1000 Discussions

Wolfram Mathematica is a software system with built-in libraries for several areas of technical computing that allow symbolic computation, manipulating matrices, plotting functions and various types of data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other programming languages. It was conceived by Stephen Wolfram and is developed by Wolfram Research of Champaign, Illinois. The Wolfram Language is the programming language used in Mathematica.

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  1. F

    Plotting Multiple 2D graphs in mathematica

    Homework Statement I have multiple 1D data sets, let's call them data1, data2, data3, etc. Each data set has the same number of entries. Each one is either a row or a column (I can just use Transpose[...], so same] and when I use the ListPlot[] function, I get a graph where the vertical axis...
  2. M

    Mathematica Mathematica: numerical non-evaluation of special functions

    Hi all, I've been getting Mathematica to do some integrals for me, which are typically returning sums of Meijer-G functions. When I try and obtain numerical values for these sums, some of my results have contained terms which Mathematica has refused to evaluate numerically; an example is...
  3. C

    Mathematica Mathematica Help (Graphing Heart Equation)

    ok, I have tried and failed. How does one graph the following on mathematica in 3D: \left( x^{2} + \frac{9}{4} x^{2} + z^{2} -1\right)^{3} - x^{2}z^{3} - \frac{9}{80}y^{2}z^{3} =0 with -3 \leq x,y,z\leq3 If someone could give me the command (what to enter), that would help. Heres what I...
  4. S

    Mathematica Mathematica symbolic equation simplifcation

    Hi Guys, I am new to mathematica. I have gotten it to do an integration for me, then simplified the answer using FullSimplify. It does a very good job, but I can see that a futher symbolic substitution would make it even nicer, e.g. I would like to define A = b*x*t. So where ever there is...
  5. T

    Mathematica Vector Fields Explaination.

    I was about to do an experiment in Wolfram Mathematica like drawing electric field lines around a charged body and other arrangements. So i saw this nifty little Function for that very purpose called VectorPlot My Problem is that i don't know what the function does exactly i went through...
  6. B

    Mathematica Mathematica: How to change units od axis

    Hello, I would like to know, how can I change units showed in axis. I would like to change those relative units (20000, 40000...) to μm. The conversional relation is 50 = 1μm, so instead 20000, 40000 i would like to have 400μm, 800μm. I enclose picture where it should be more clear what I am...
  7. J

    Abstract Algebra mathematica add on

    hey, I have this group I've been trying to generate using the GenerateGroupoidByRelations[] function but it keeps giving me an error, G = GenerateGroupoidByRelations[{a, b}, {a^4 == e, b^4 == e, a ** b ** a ** b == e, a^3 ** b ** a^3 ** b == e}, SizeLimit -> 60] gives...
  8. A

    Mathematica Mathematica Help with Table command and Matrix operations

    Hi, I need to generate some data in a Table and then be able to do all kinds of matrix and other mathematical operations on them. Right now I am testing the commands but am unable to get them to work. My table has this extra parenthesis floating around which I'm not sure how to get rid of...
  9. G

    Mathematica MATHEMATICA, with a triple sum

    I'm having trouble solving this summation and was wondering if anyone could put me on the right track. Here's the problem below, I've also attached a pdf of it. Sum from 1 to infinity in steps of 2 for l, m, and n:((-1)^((m - 1)/2))*(m/(n^2 + l^2 + m^2)) I've tried using the built in sum...
  10. L

    Mathematica Getting data from an equation using mathematica

    how can I get data from a certain equation using Mathematica in order to plot them using MATLAB command (imagesc) !
  11. C

    Mathematica Plotting Functions in Mathematica: A Simple Guide

    Could someone tell me how I would go about plotting a function in Mathematica over say, x^2? or sqrt(x)? Thanks!
  12. M

    Mathematica Clearing variables and functions in Mathematica

    Can anyone help on this? I am calculating the magnetic susceptibility, essentially a second derivative evaluated at zero magnetic field. The problem is that sometimes Mathematica works perfectly, and sometimes it gives me a "1/0 complexinfinity" error message, with no obvious reason. The...
  13. J

    Mathematica NDSolve in matrix system with Mathematica

    Hello everyone. This is my first post after looking for information about a simple question. Unfortunately I didn't found information in any other posts in this forum so, here we go! I'm trying to solve numerically a set of N ODEs with Mathematica 7.0. Let me call x(t) an array of N...
  14. M

    Mathematica Mathematica problem: two nigh-identical codes

    Hello, everyone. I have a rather bizzarre problem. I wrote a code that takes a matrix U[1] and calculates a matrix U[2] from it using simple math. I wrote three For loops, one to go across the U[n], the other two to read the matrix U[n] across all the lines and columns. I do it twice because...
  15. K

    Proofs, Exercises & Mathematica - Training the same skills?

    First post on this forum, that IMO is amazing! I was reading the introduction of the book “A gentle introduction to the art of Mathematics” and I was wondering about what the authors wrote on whom the book is for. In particular he stated that the book is in particular for people who can...
  16. D

    Mathematica Mathematica - Set zero offset for Frame origin?

    I have a Plot using Frame, and AxesOrigin set to a convenient value. The plot process offsets the physical origin of the Frame so that the specified AxesOrigin is just inside the Frame border - ie there is an offset introduced for both axes. Is there a way to tell Mathematica not to set any...
  17. T

    Mathematica 2D surface density plot in Mathematica

    I am trying to plot the following function: \sigma(r, \phi) = \frac{3r^2}{\sqrt{1 - r^2}} e^{i(2 \phi - \omega t)} where \sigma is a surface density, r is radius, and \phi is azimuthal angle. It is supposed to yield a "bar shape" for a galactic disk, but I'm not sure how to go about...
  18. D

    Mathematica Mathematica - 2D plot for function of 2 vars?

    I have a function of two variables, f(a,b). I want to create a series of 2D plots (on the same plot) of f(a,b) vs a, for a=1 to 10, for a set of discrete values of b (e.g. b=10,20,50,100). Is there a simple way to do this? Plot3D works, but I cannot find how to do it in 2D. DN
  19. F

    Mathematica Trouble downloading mathematica packages - probably a very quick solution

    Hello, having usually used MatLab, I am just beginning to use Mathematica. I am having trouble locating packages, however. In particular, I'd like to download: http://reference.wolfram.com/mathematica/VectorAnalysis/tutorial/VectorAnalysis.html (Vector Analysis)...
  20. L

    Surface-image from mathematica.

    Homework Statement Find the parametric equations in the surface S therefore Z^2=1+x^2+y^2 and 2 ≤z ≤3 and draw the image of the surface with Mathematica Homework Equations (below 3.) The Attempt at a Solution Use polar coordinates as parameters. The surface defined is part of...
  21. N

    Mathematica Mathematica: Opacity and graphics

    Hi I have the following graphic: Graphics[{Opacity[0.5], Rectangle[{0, 0}, {1, 3}]}] Say I want opacity to vary with x, e.g. with the expression opacity = x^2. Is there a way to do this? I checked out the "Help", but there were no examples of a varying opacity. Niles.
  22. F

    Mathematica (Mathematica) Poincarè map of restricted three body problem

    Hi everybody, sorry for the inconvenience. I try to plot the poincarè map of the restricted three body problem. I find in this forum the follow script that do this for the Lorenz system: mysol = NDSolve[{x'[t] == -3 (x[t] - y[t]), y'[t] == -x[t] z[t] + 26.5 x[t] - y[t], z'[t] ==...
  23. S

    Mathematica Mathematica: A function that derives another function on all its arguments

    Hi! I am wondering if someone could help me write a function in Mathematica. What I would like it to do is take another function g as its argument and return the sum of g derived to all of its arguments (and multiplied by a scalar Δxi) f\left[g\left[x_1,x_2,\text{...},x_n\right]\right] =...
  24. E

    Mathematica Mathematica Temporary Working Directory

    I have problems in computer intensive calculations, obtaining a message saying "Your Mac OS X startup disk has no more space available for application memory" Obviously, Mathematica's temporary working-file folder fills up the disk and has no more space. I asked Wolfram Research's...
  25. A

    Mathematica Mathematica: Substituting in for integrand

    I would like to be able to write my integrand before my integral and then have my integral be more compact. However Mathematica does not seem to like when I try and substitute in my dq's. Is there a way to tell mathematica to evaluate the substitution before evaluating the integral?(and, I...
  26. N

    Mathematica Mathematica: Variables and Functions

    Hi I have a long procedure, which calculates the potential of a physical system. The procedure returns something having the form potential = 1/(constant + z) where z is a variable. Now, I need to evaluate potential at different z. I can of course do something like z = 1; potential...
  27. D

    Mathematica Plotting phase curves Mathematica

    I was talking to my professor and I am tying to generate a phase curve that looks like (see attached).However, I am only been able to generate phase portraits.I need to generate a plot that does that.From these equations,$$\dot{x} = -x + ay +x^2y$$$$\dot{y} = b -ay-x^2y$$Here is what I have been...
  28. N

    Mathematica Solve 2D Particle Motion: NDSolve with Non-Constant Deceleration in Mathematica

    Hi I am succesfully using NDSolve to find the solution of a 1D equation of motion: solution = NDSolve[{x''[t] == -200, x[0] == 0, x'[0] == 100}, x, {t, 0, 1}]; ParametricPlot[{x[t], x'[t]} /. solution, {t, 0, 1}, PlotRange -> {{0, 100}, {0, 100}}] This is a particle decelerating constantly in...
  29. K

    Mathematica Mathematica: Adams Bashforth-Moulton method and its errors

    Greetings PF. I am new to the subject of numerical methods and I'm interested in using the Adams method in Mathematica, this one with a predictor-corrector algorithm, to numerically solve a system of differential equations (first-order system). As I'm pretty green I was reading this page...
  30. L

    Mathematica Compiled Functions in Mathematica

    Hello, I was looking at ways I could optimize a simulation I wrote in Mathematica and came across the command compile. From what I understand, it defines a function that expects a numerical value for the variable. But I don't understand how this would be any different from just ordinarily...
  31. D

    Mathematica Plotting Mathematica: Michaelis-Menten Rate of Uptake

    How can I plot this in Mathematica?
  32. S

    Mathematica How Do You Set Boundary Conditions for an Infinite Wall Potential in NDSolve?

    I am trying to use NDSolve to solve a Schrodinger equation. My question is that if I want to solve the Schrodinger equation for an infinite wall potential at r = R, I would want my wave function to die at r = R. Here is the code that I know for a square well potential; NDSolve[...
  33. 2

    Mathematica Mathematica always needs a clean start?

    Hi all, I've been using Mathematica through my school for a couple of years, and I finally got my own license so I can work on my homework when I'm not connected to the campus network (we can run Mathematica on our laptops as long as we can remotely hook up to the server they host it on)...
  34. K

    Mathematica Mathematica: Regarding ListPlot and Manipulate

    I am having trouble with ListPlot in combination with Manipulate. I can't see why it doesn't do what I tell it to. What I'm trying to do: I have several functions that is dependent upon one parameter t. These functions I got from solving a system with DSolve. I'd like to see their values...
  35. K

    Mathematica How to change the plotstyle in mathematica?

    I am running some notebook, developed by someone else, in mathematica. One of the function defined in the notebook will show a graph. Since the notebook is kinda messy and I don't want to modify it. To alter the title and/or style of the graph, I try the following G = ShowMapping[2.3]...
  36. J

    Mathematica [Mathematica] Trouble understanding subscripted variables

    Hi, I don't understand how to remove the values for these subscripted variables once I have assigned a number to them. If I try to remove the value from a_1 below, I get an error message: Remove[a] Subscript[a, 1] = 1; myf = z^3 + z*w^2 myf /. z -> Subscript[a, 1] myf /. z ->...
  37. D

    Mathematica Plotting Mathematica - Why is this Happening?

    Why is this happening (see picture)?
  38. N

    Mathematica Mathematica: Interpolation Functions

    Hi I have a data set of the form: data = {{0, 0}, {1, 1}, {2, 2}, {3, 20}, {4, 1}, {20, 1}, {21, 1}, {22, 0}}; This data set is a probability density function (PDF), and I need to be able to integrate it from 0 to some x<22. I thought that I would use an interpolating function for...
  39. J

    Mathematica [Mathematica] NIntegrate Piecewise function with DE solution

    Hi, I'd like to solve a DE, create a function with the solution, then use that solution in a Piecewise function, and then NIntegrate the Piecewise function but I can't get NIntegate to work. Here's what I'm trying to do: mysol = NDSolve[{y'[x] == x, y[0] == 1}, y, {x, 0, 1}] myy[x_] :=...
  40. D

    Mathematica ODE solution with Mathematica 8

    I'm having issues solving a 1st order ODE. Here what happens: NDSolve[{y'[x]/y[x] == k *Pi* r^2* Sqrt[1 + y'[x]^2], y[0] == 136/10}, y[x], {x, 0, 30}] NDSolve::ndnum: Encountered non-numerical value for a derivative at x == 0. Changing the x range is no help... I get the same message for...
  41. F

    Magnetic Pendulum Mathematica Simulation

    Homework Statement This is for a lab, which I'm working on at home. There are two parts: using Mathematica to simulate a magnetic pendulum with 3 magnets by plotting the path of the bob and then extend my code to determine where the bob endpoint for all starting positions and draw the fractal...
  42. C

    Mathematica Convolution property for InverseZtransform in Mathematica

    Hey! So when I enter this in Mathematica In[246] = ZTransform[Sum[f[k] g[k - n], {k, 0, n}], n, z] InverseZTransform[%, z, n] I get: Out[246] = ZTransform[f[n], n, z] ZTransform[g[-n], n, z] Out[247] = InverseZTransform[ZTransform[f[n], n, z] ZTransform[g[-n], n, z], z, n]...
  43. Barnak

    Mathematica truncates my curves

    I'm ploting a simple function (the effective gravitationnal potentiel with angular momentum part) with Mathematica, and I'm getting some truncated curves close to the vertical asymptote located at r = 0 (see the picture below). Of course, this is normal since the function V(r) diverges at r =...
  44. R

    Mathematica Definiing two functions (mathematica)

    I need to define two functions for a molecule with speed s. a)it has a horizontal velocity between -s and s b) v , the vertical velocity between +Sqrt[s^2-u^2] and -Sqrt[s^2-u^2] This is what I have done for a) f[s_]:=RandomReal[{-s,s}] for b)...
  45. 7

    Mathematica Solving equation using mathematica

    Hello every one, I need help please... How to write in mathematica to solve an equation of x and y that is equal to 0, (i.e. y^4+2y^2x^2-15x=0) and let the program try all the value of x=0,1,2,3,...,10000. and all the value of y=0,1,2,3,...,100. The program should start with x=0 and try all...
  46. R

    Mathematica Animating in Mathematica: Creating a Bouncing Point in a Box Tutorial

    Does anyone know how would I go about making a point , bounce up and down in a box in mathematica? Would greatly apperciate for any help.. Thanks
  47. I

    Mathematica Plotting problem with Mathematica 8

    Hi I am trying to do some problem from the book "Student's Introduction to Mathematica" 2ed. I have shown the snapshot of the problem in 1.png. My attempt is a snapshot in 2.png. Please suggest some ways to do this correctly. thanks
  48. J

    Mathematica [Mathematica] Formatting output of polynomials

    Hi guys, I seem to still be having problems formatting polynomials in a standard way in Mathematica. I generate them randomly and would like them output using Print in a particular format. Say I have: theFunction=-2 + w^3 (-9 - 3 z) - 7 z + w^2 (4 + 5 z) + w (8 - 2 z^2) + w^4 (-5 z^2...
  49. K

    Mathematica I need an help with Mathematica 8

    Hello everybody! I'm a new member and I don't know if it is the right section, but I have some problem with the software mathematica so I'm here hoping that someone can help me.. I have a csv file and I have to plot it, but I don't know which function I have to use. The csv file contains 3...
  50. D

    Using Mathematica for 4 vectors and etc.

    I just got mathematica and I wanted to use it to simplify 4 vector/ Lorentz transformations by using matrices etc. I was wondering how I would go about doing this. I just started special relativity in my first semester Quantum Mechanics/S.R. class for reference.
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