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. stripes

    Plotting data in Mathematica certain colours depending on

    Homework Statement I have a list of data in .csv format that looks like the following: 10 5 TRUE 10.1 5.1 TRUE 10.2 5.2 FALSE 10.3 5.3 FALSE 10.4 5.4 FALSE 10.5 5.5 TRUE 10.6 5.6 TRUE ... There are thousands of entries...
  2. Hepth

    Mathematica Mathematica : Draw a simple line, make into image

    I wish to create, in Mathematica, an image. I have a set of lines, for the sake of a test, let's use: {{10,0},{40,100}} {{20,0},{80,100}} Now I want my image to be 400x100 pixels, and the lines to appear as if their coordinates are those of the points in the image. If I do...
  3. ChristinaJ

    Mathematica Mathematica: Duplex Printing from button inside DialogNotebook on Mac

    All, I have the following code which generates a window containing the variable PrintOut and a Print button. When the print button is pressed the contents of the window are sent to the printer and simultaneously a pdf is generated. PrintOut = "Some stuff - plots, tables etc."...
  4. N

    Mathematica Mathematica: Recursive expression

    Hi I am trying to find a smart way to write the following fraction, $$ F = \frac{a_1}{1+\frac{a_2}{1+\frac{a_3}{1+a_4}}} $$ Here we can just take a_n= n for simplicity. My fraction is in principle infinite, but I am trying to construct a function which can find F for a given n recursively. I...
  5. P

    Mathematica Differentiating vector function [Mathematica]

    Hi. So I have this vector function which I need to differentiate, it is however very tricky to do by hand, so I'm doing it in Mathematica. \hat{u}=\left\langle\bar{u}+\bar{r}\frac{(1+\gamma)}{r(r+\bar{u}\cdot \bar{r})}\right\rangle (The brackets denote normalisation) I want to do this...
  6. alyafey22

    Mathematica Plotting Riemann Surfaces with Wolfram Mathematica 8.0

    Does anybody know how to plot the Riemann surface of complex functions on wolfram Mathematica 8.0 ?
  7. I

    Mathematica Mathematica: Solve System of Eqs & Create Table

    Hi to all! Again I have a question in mathematica. Lets us define a system of equations e.q. eqs1 =-0.17544 Csc[\[Theta]]^2 + Sin[2 \[Phi]] == 0 && 0.001447 - 0.0864 Cos[\[Theta]] + 0.0288 Cos[\[Theta]]^3 == 0; and we want to find the solution by optimization with Reduce[{eqs1 && 0 <=...
  8. P

    Mathematica [Mathematica] Simple Problem with the plot function

    I have a formula for the fibonacci sequence (with 1 being the first) and I noticed that the 12th fibonacci number was 144. I thought that was a neat coincidence, so I I headed over to mathematica to see if this (and 1) were the only numbers that had this property. I was almost certain that it...
  9. J

    Mathematica Problems with mathematica code

    Hello! I'm writing a paper where I'm going to use markov models to evalute a device. My base for this paper is the paper written by H. Timbley. I have never used Mathematica before and thought that I would start by trying the complete code that Timbley has written in the appendix of the paper...
  10. V

    Help with loops in Mathematica (Hamiltonian)

    Homework Statement I have an assignment for my thesis to make Hamiltonian for Schrodinger equation. I won't go into physics part of it, because that is well understood. I need to somehow generate a specific matrix for Hamiltonian (H). Please see the attached file of what I need to get...
  11. N

    Calculating Triple Integrals in Mathematica

    Homework Statement Evaluate ∫∫∫\sqrt{x^{2} + y^{2}} dA where R is the region bounded by the paraboloid y=x^2+z^2 and the plane y=4 Homework Equations I believe this is a problem where cylindrical coordinates would be useful 0 ≤ z ≤ \sqrt{4-x^2} 0 ≤ r ≤ 2 ( I think this is wrong). 0 ≤ θ ≤...
  12. Hepth

    Mathematica Mathematica : Integrate bug? Generate conditions.

    Please try: Integrate[((x - 1)^2/x) (1 - y), {y, 0, 1}, {x, 0, 1}] Integrate[((x - 1)^2/x) (1 - y), {x, 0, 1}, {y, 0, 1}] on your version. My Options[Integrate] GenerateConditions-> Automatic. In the first case, it gives -3/4, the second is divergent. For some reason when the...
  13. S

    Kramers-Kronig Mathematica code

    Homework Statement I'm trying to write Mathematica code to use Kramers-Kronig on a csv file with 2 columns. Column 1 is h(eV). It goes from 0 to 6, in increments of 0.1. Column 2 is alpha (cm^-1). In the equation below, I'm guessing column 1 is Ω. But what should I put in for ω?Homework...
  14. R

    Mathematica How do I avoid the recursion limit in Mathematica?

    I wrote code where you input a prime, P > 3, and the next prime is the output. However it involves using a recursive formula with the number of recursive steps being in the order of P and using the Mod operator. Thus P must be below 255. How can I avoid this. Follows is my code: prime = 127...
  15. J

    Mathematica Mathematica: Graphing The behavior of a double pendulum

    Hello, I have a few newb questions. How can I graph the behavior of a double pendulum in Mathematica to make strange attractors like in the Lorenz equations?
  16. F

    Mathematica Lorentz Transformation in Mathematica appears wrong.

    So, I'm trying (keyword trying) to learn a bit of special relativity on my own via the Stanford lectures on Youtube by Leonard Susskind, but I'm running into a problem. According to the lectures, for two different reference frames with co-ordinates marked (x, t) and (x', t'), the latter...
  17. R

    Mathematica How to integrate in Mathematica SIMPLY

    Every time I try to do a simple definite integral simbolically such as: Integrate[R/P - c1/(T^2), {P,P1,P2}] it takes about 2 minutes then gives a long conditional expression. Basically it assumes that P1 and P2 are general numbers with complex parts and negative and such. HOW do I tell...
  18. L

    Mathematica Mathematica: Solving system of three equations

    Hello, I am new to mathematica, and I am having trouble using the solve/nsolve to solve my system of three equations. Attached is my code so far. Any help would be greatly appreciated. It gets stuck in the loop section of the code. I have also pasted the code below. Thanks! Alicia...
  19. S

    Mathematica Mathematica: Make a 3D List from two 1D lists and a tables

    I am dealing with a set of data where I have values C(x,t) for a discrete set of x and t values. Say: x={1,5} t={1,3,7} C={{C(1,1),C(1,3),C(1,7)},{C(5,1),C(5,3),C(5,7)}}. How do I combine this to a list that looks like...
  20. Z

    Integral Substitutions and Mathematica

    Hi all. My professor gave us some integrals that Mathematica can't do, and we have to teach Mathematica how to do them. I got the first two, but I'm stuck with the u substitutions for these six. I know that I am supposed to make an attempt at a solution, but I've tried several different u...
  21. S

    Mathematica Mathematica to FindFit for multiple data set

    After conducting my experimental work I will have a number of sets of data. It is easy to use Mathematica to find a fit of just one set, but I would like to fit all sets at once as they are too many to do them all ate once. They will all be fitted by the same function say y=ax+b, every set...
  22. A

    Mathematica Mathematica to recognize e−iθ as the eulers identity

    I just need to know how can Mathematica recognize e^{-i\theta} as the eulers identity. This is, e^{-i\theta} = cos \theta + sin \theta . When i plot a function like e^{i\theta}, nothings appear in the graph. Help is appreciated.
  23. R

    Mathematica Mathematica or (preferably) maxima display exanded form

    Is it possible to get either one to display the less factored form of an expression? what I am doing is multiplying matrices together for geometrical optics but my answers keep coming out really ugly. For example I have d-d\left(\frac{2d}{r}-1\right) I don't think a person would ever write...
  24. N

    How to calculate curvature of a vector in Mathematica.

    Homework Statement r(t)={(4+cos20t) cost,+(4+cos20t) sint,+0.4sin20t} Calculate the curvature of r[t] for 0≤t≤4pi Homework Equations k = | r' x r'' | / | r' |^3 The Attempt at a Solution r[t_]:={4+Cos[20t]*Cos[t],4+Cos[20t]*Sin[t],0.4Sin[20t]} k[t_]:=Norm[Cross[r',r'']]/Norm[r']^3...
  25. I

    Mathematica How can I write a Mathematica function that handles different argument types?

    Hello all, It's quite a mouthful but I need help writing a function that will behave as follows: 1.if called with an argument which is an integer, it will return the absolute value of the input 2. if called with a real argument, it will return the number rounded to the nearest...
  26. H

    Mathematica Mathematica: output an expression without evaluating it first

    Greetings, I recently discovered Mathematica's Format function, and it has been of great use to me. However, there is one thing that I want to use it to do, that I have yet to be able to. I could do this easily, though, if there is some Mathematica function that works as follows... If I put a...
  27. F

    Mathematica Plotting functions and coordinates, Mathematica

    Hi all. Is there a way to plot both functions and coordinates/points on the same graph in Mathematica? The various functions for plotting each seem very incompatible. I would like to compare a probability function to Monte-Carlo-method simulation results. Also, out of curiosity, do...
  28. I

    Mathematica Mathematica - using rules to assign integration limits

    I'm trying to find the integration of my function f[x] from 1 to 4 using the indefinite integral and inserting limits using rules. I am not sure how to insert the limits with rules, have been playing about with the following Integrate[f[x], x] /. x -> {1 >= x <= 4} which ain't working, any...
  29. E

    MATLAB Matlab vs Mathematica for DiffEqs: Accuracy?

    I wonder which one is more accurate when solving differential equations?
  30. Fredrik

    Mathematica Simplify in Mathematica: Reals & k > 0

    Why do I keep getting output that looks like this when I use Mathematica? $$\frac{2 b k |a+b v| (2 a+b v+b v \cos (t)) \sin ^2\left(\frac{t}{2}\right)}{(a+b v)^2 \sqrt{\left(\frac{1}{\sqrt{4 a^2 k^2 \sin ^4\left(\frac{t}{2}\right)+d^2 (a+b v)^2 \sin ^2(t)}}\right)^* \sqrt{4 a^2 k^2 \sin...
  31. D

    Mathematica Data from 2nd order ode mathematica

    How can I extract time data from a system 2nd order ODEs in Mathematica?
  32. D

    Mathematica Solving a Restricted 3 Body Problem with Mathematica - Finding Velocity at Final Location

    I used mathematica to solve a restricted 3 body problem and was able to export my position data at different time intervals. How can I find my velocity at that final location?
  33. D

    Mathematica Troubleshooting Mathematica: Identifying Strange Behavior & Solutions

    Can someone identity what the issue here is before I throw my computer out the window. By the way, this just worked 10mins ago. I restarted Mathematica and my computer but it now insist z isn't an equation. ClearAll["Global`*"]; me = 5.974*10^(24); mm = 7.348*10^(22); G = 6.67259*10^(-20)...
  34. Hepth

    Mathematica Mathematica : Numerically Integrate function with undefined variables?

    I have a LARGE function that I must integrate over 2 variables, {x,y} both from 0 to 1. The Function looks like : F[x_,y_] = A[q] G[x,y] + B[q] G2[x,y] + (...) Where (...) MAY be 100's of terms long, if not thousands. But the fact is each term is separable, in SOME way to a function of...
  35. M

    Magnetic Pendulum Fractal Basin Boundaries in Mathematica

    Homework Statement Hey all, this is for a laboratory. I need to determine the fractal basin boundaries for a magnetic pendulum swinging chaotically about 3 other magnets underneath. I was able to plot a single path for the pendulum in Mathematica, but now I need to expand my code to...
  36. B

    Mathematica Symbolic vector differentiation with Mathematica

    Hi, I am a new user of Mathematica (although I am reasonably familiar with MATLAB) and I am trying to differentiate a scalar wrt a vector Mathematica. ie, I want to check if \begin{equation} \phi = \textit{x}^{T} \textbf{A} \textit{y} \quad \mbox{where $\textit{x}$, $\textit{y}$ are vectors...
  37. L

    Analytical Bra-Ket Tensor Products: Rules & Wolfram Mathematica

    What are the rules of analytical – not numerical (matrix) entry of bra-ket convertion – operations on bra-ket, in particular – tensor product ? For example – how in analytical form to do this: U|\Psi\rangle where: U=I\otimesI I=|0\rangle\langle0|+|1\rangle\langle1|...
  38. S

    Mathematica Optimize Your Mathematica Code with These Helpful Tips and Tricks

    First of all, this might give seasoned Mathematica users some serious eye sores cause I'm a newb at this xD f[x_] := (1^-9) (Exp[38.629 x] - 1); data = Table[if[[f[x], {x, -5, 5, 0.01}] > 0.005, 0.005, f[x]]]; ListPlot [data, DataRange -> {-5, 5}, Joined -> True, PlotRange -> {0, 0.01}...
  39. E

    Mathematica NDSolve differences between mathematica 8 and 9

    Hello, I am using mathematica 9 and having some problems with a particular expression, but when I tried it on mathematica 8 it worked perfectly. My expression is: NDSolve[{D[T[n,z], n]+i 2 D[T[n,z], {z,2}]+z^2 T[n,z]==0, T[0,z]==1, Derivative[0,1][T][n,5]==0, Derivative[0,1][T][n,0]==0}, T...
  40. J

    Simple Matrices proof using Mathematica help

    Simple Matrices proof using Mathematica help! Homework Statement Hey guys, I'm trying to prove that (AB)-1 = B-1 A-1 and also the one that looks the same but is with transpose of the matrices making A and B arbitrary 3x3 matrices. I made A = {{a_1,a_2,a_3}...} B =...
  41. A

    Mathematica Trouble: Solving for x in Sinc[x] > (1/1.01)

    If anyone on here uses Mathematica maybe you could help me with an issue I am having with computing the following: Solving for x in: Sinc[x] > (1/1.01) I am looking only at the positive values and not making any headway with the Solve or NSolve commands. I should also mention that this...
  42. L

    Using Mathematica to plot and fit data

    Homework Statement Hello. My problem is that I need to learn how to use computer software this semester. My teacher said, go and figure out how to use any computer software you like to make graphs. I have Mathematica but I am not proficient in using it, could somebody please help me with...
  43. 0

    Mathematica Reduced navier stokes in mathematica help please

    reduced navier stokes in mathematica urgent help please ok I am modelling airflow in the upper airway for application i obstructive sleep apnoea, but I have hit a brick wall with mathematica. I have a system of 3 differential equations with boundary conditions, and I need to solve to find 3...
  44. binbagsss

    Mathematica Is Mathematica able to solve expressions such as

    (c (qz + (-1 + q) (-1 + (1 + qz)^0.5)))/(h q^2 (1 + z)^2) = d, And to solve for q New to the programme, thanks a lot !
  45. D

    Mathematica Solving Mathematica Summation Code Problem

    Can anyone tell me what is the problem with this Mathematica code? Nmax = 10; Mmax = 10; A = 4/Pi^2*Integrate[x*Sin[n*x]*Sin[m*y], {x, 0, Pi}, {y, 0, Pi}]; B = 4/Pi^2*Integrate[Sin[n*x]*Sin[m*y], {x, 0, Pi}, {y, 0, Pi}]; u[x_, y_, t_] = Sum[Sin[n*x]* Sin[m*y] (A*Cos[(n^2 + m^2)*t] +...
  46. StevieTNZ

    Mathematica How Can I Edit Inputs in a Mathematica .nb File for Different Calculations?

    Hi there I was sent a .nb file with calculations already done for me, for various inputs. I was wondering how I can edit those inputs, keeping the rest of the calculations the same, to find out what the result would be? (see attached file for example)
  47. H

    Questions about Getting Mathematica for Differential Equations

    Hi I decided to purchase mathematica, however it appears this is a much more complicated affair than I had imagined. I will mainly be using it for differential equations (nonlinear, nonhomogenous and coupled, what have you) to help with physics. Could someone clear up some questions I have...
  48. S

    Mathematica How to Solve a Second Order PDE in Mathematica?

    Hello! I am trying to solve the following second order PDE (copy that into mathematica): \!\( \*SubscriptBox[\(\[PartialD]\), \(x, t\)]\(\[Delta][x, t]\)\) + b \!\( \*SubscriptBox[\(\[PartialD]\), \(t\)]\(\[Delta][x, t]\)\) + a \!\( \*SubscriptBox[\(\[PartialD]\), \(\(x\)\(\...
  49. W

    Graphing Problem in Mathematica

    Homework Statement I would like to graph the following program. Homework Equations L = 1.0; \[Kappa] = 1.; Num = 80; \[CapitalDelta]z = L/Num; td = (\[CapitalDelta]z*\[CapitalDelta]z)/(2*\[Kappa]); \ \[CapitalDelta]t = 1.01*td; r = (\[CapitalDelta]t/(2*td)); Temp[0] = 10...
  50. D

    Mathematica Bessel Approximations in Mathematica

    How do I use the Bessel Function at different orders to approximate the sine function? I am plotting $\sin\pi x$ against the BesselJ function. However, from the example I saw in class, as I increase the number of terms, the $(0,1)$ coordinate is pulled down to (0,0). This isn't happening for...
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