# What is Mathematica: Definition and 998 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. ### Mathematica_ table_ integration

I am calculating the temperature distribution and utilizing the obtained results to calculate the current distribution. In order to do this , I employ a table in which I stock all the current distribution for each value of radius . Subsequently, I aim to identify the radius corresponding to a...
2. ### Trouble with using the command WhenEvent in Mathematica

Hello, I'm trying to solve a heat differential equation to obtain the temperature distribution as a function of R. Since I have the coefficients of electrical and thermal conductivity that start from the temperature of 6500 K, I want the solution to stop when T reaches 6500. I'm using the...
3. ### Mathematica Mathematica Interpolation function error

Hello everyone, I am relatively new to Mathematica, and I am encountering an issue when trying to interpolate numerical data imported from an Excel file. Here are the steps I've taken: I imported the numerical data from an Excel file into Mathematica. I attempted to interpolate the data using...
4. ### Show that these equations are linearly dependent using Mathematica

TL;DR Summary: solve linear systems of equations Hi, I am supposed to solve the following problem with Mathematica This is the tutorial we received on how to solve linear systems with Mathematica: I then tried the whole thing for the task, but unfortunately Mathematica doesn't give me any...
5. ### MATLAB Matlab's numeric solution to det of Matrix is incorrect

Hello everyone, I have an equation derived as the det of a matrix, which I have solved in Mathematica 11 with Findroot and verified with the respective PhD Thesis' data. However, I now try to get more accustomed to Matlab (R2017b) and hence I tried to reproduce the problem and find its solution...
6. ### Mathematica Problems solving this differential equation for a Pendulum with Mathematica

Hi, unfortunately, I have problems that Mathematica does not solve the differential equation. The task is as follows and it is about the task c In the Mathematica Notebook, the following was written for task c "You can use the following two lines of code to produce the solutions of the...
7. ### Mathematica Matrices in Mathematica -- How to calculate eigenvalues, eigenvectors, determinants and inverses?

Hi, In my linear algebra homework, there is a bonus assignment where we are supposed to use Mathematica to calculate matrices and their determinants etc. here is the assignment. Unfortunately, I am a complete newbie when it comes to Mathematica, this is the first time I have worked with...
8. ### Mathematica Neural networks in Wolfram Mathematica

Hello, I have a question about the use of functions and overall creation of neural networks in the Wolfram Mathematica (WM) program. I wonder if it is realistic to make meaningful neural networks usable at least partially for scientific research in WM? By scientific research, I do not mean the...
9. ### Mathematica [Mathematica] How to use for loop to process a list of data

Hi. I am writing a program in Mathematica that reads a xsl file from excel, then processes it by solving an equation, and lastly turns the processed data into a list for exporting. Context: Finding the maximum speed of a model plane at different altitudes (density). Screenshots of the code and...
10. ### Mathematica Find all values of E for a transcendental equation

Hi, I'm trying to solve a transcendental equation. I would like all the values of E that solve this equation. ##k = -l \cdot Cot(la)## However, using Nsolve or FindRoot, they give me a precision error. Hence, I'm trying this form. ##\sqrt{-e /(e+v)} = -Cot(la)## FindRoot only give me an...
11. ### Rederiving Mathematica Result

Hey all, I am trying to solve the following equation: $$\left(k-i\frac{m_{1}}{v}\right)^{-1}\Bigg(-i\frac{x}{v}-\frac{\sqrt{-x^2+m_{1}^2+k^2v^2}}{v}\Bigg) = \left(k+i\frac{m_{2}}{v}\right)^{-1}\Bigg(i\frac{x}{v}+\frac{\sqrt{-x^2+m_{2}^2+k^2v^2}}{v}\Bigg)$$ for ##x## and we can assume...
12. ### Conservation of probability issue when solving ODE in Mathematica

I am trying to solve this two level (Schrodinger) equation as a function of time:$$i\begin{pmatrix} \dot{x}\\ \dot{y} \end{pmatrix} = \begin{pmatrix} 0 & iW+dE_0sin(\omega t)\\ -iW+dE_0sin(\omega t) & \Delta \end{pmatrix}\begin{pmatrix} x\\ y \end{pmatrix}$$ (I can go into more details about...
13. ### Philosophiae Naturalis Principia Mathematica

Summary: Why did Newton call his book Philosophiae Naturalis Principia Mathematica and not Philosophiae Naturae Principia Mathematica? Why did Newton call his book Philosophiae Naturalis Principia Mathematica and not Philosophiae Naturae Principia Mathematica?
14. ### I Calculate Gaussian Curvature from 4D Metric Tensor

I've been trying to find a way to calculate Gaussian curvature from a 4D metric tensor. I found a program that does this in Mathematica using the Brioschi formula. However, this only seems to work for a 2D metric or formula (I would need to use something with more dimensions). I've found...
15. ### How to find the positive maximum value of a function

This is the code that i wrote Clear["Global`*"] Z = 500; W = 100000; G = 250; H = 100; K = 0.5; T = 30; L = 4000; P = 5; S = 2.5; Y = 1; A = 0.1; V = 2.5; J = 8000; f[x_] := 1/ x {(J*Z*x*(2*Y - x))/( 2*Y) - ((W + T*G) + ((L + T*P)*2*Z*Y*(1 - ((Y - x)/Y)^1.5))/ 3 + (H + T*S +...
16. ### Mathematica Mathematica Eigensystem Calculation Taking Too Long

Hey all, I am currently trying to find the Eigensystem of the following 5x5 matrix in Mathematica. Unfortunately, doing so takes an insanely long time (I cannot even call Eigensystem[p][[1,1]] in a reasonable amount of time). Does anyone have any advice? Also I cannot simply redefine new...

18. ### Mathematica Plotting a parameter Plane of a spring pendulum in Mathematica

I'm reading an article about the order-chaos-order sequence of a spring pendulum [Ref 1], as I'm reading it I'm trying to reproduce the graphs and results through Mathematica. However, I am new to this software. I will list below some of the most important equations mentioned in the paper. "In...

41. ### Mathematica Inc, Dec buttons while "Manipulating" an array (Mathematica)

This code takes the coeffeicient array c0 from the first line and does the Manipulate thing, putting in as many sliders as the length of c0. Problem is that I couldn't find a way to enable the increment and decrement buttons that you usually get for the sliders, even though I have put in the...
42. ### Mathematica Want to learn Mathematica programming

Could anybody already working in Mathematica guide me? I want to learn how to program for physics, to be able to simple models, make graphs for equations, and finally able to solve problems especially Quantum mechanics. Where should i begin? I have never used such 'software?/language?' before. I...
43. ### Mathematica Mathematica - Manipulate slider - fine adjusting with [ALT] key

It says here ... https://reference.wolfram.com/language/tutorial/IntroductionToManipulate.html#498667553 [section : Initial Values and Labels] ...that you can fine-tune a "Manipulate" slider by holding down the ALT key while you drag the handle. This is indeed the case, but unfortunately, the...
44. ### Mathematica Mathematica Graph Plotting for Scientific Papers

Hey guys, so recently I've been trying to use mathematica to plot graphs for my scientific papers, and I've been starting to wonder - what plot options do you guys use? How do you plot your graphs in mathematica such that they look presentable in a scientific paper?
45. ### Mathematica How to define such a simple function in Mathematica

A very simple question but I can't find an answer. I have an expression which depends on two integers, n,d. Now, I want this expression to be a) 1 when d=n=0, b) some expression (that I won't write here) when both d and n are >0 c) zero when wither d or n negative. At first I defined the...
46. ### Mathematica Mathematica: DiscretePlot type plot with x values from a list

I would like vertical lines with dots at the top of them, with the x-positions and heights coming from {{1.2, 3.5}, {2.3, 4.2}, {5.5, 6.7}} for example.
47. ### Mathematica Derivative of the Real Part of a Complex Function (Mathematica)

When I type in this: D [ Re[ Exp[u + 10*I] ], u ] /. u->0.5 I get this output: Of course, I could just put the Re outside and the D inside, but it would be nice to know what is wrong with the above. What's with the Re' in the output?
48. ### Solving a Physics Problem with Mathematica: Get Help Now!

The question is I have tried solving this problem several times over several days but each time the plot I get gets weird. Can someone please check what I did wrong? My attempt is attached below (I did not non-dimensionalize it as I wanted to first check if my code works) The...
49. ### Mathematica Is Mathematica more incomplete than the other math solver software packages?

I only have access to mathematica currently. Regarding specifically its power to solve integrals, is it more unable to solve integrals than others like Maple? If the answer is yes, then I will move to purchase Maple.
50. ### Solving a min max problem in 2 variables using Mathematica

Drawing the graph in 3d you see endless "mountains and valleys" which logic tells me there will also be infinite max min points in 2d regardless of where you slice the graph. apparently this is wrong and there is a finite max/min points in R^2/2D. Please note this problem does not have a domain...