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0
votes
2answers
83 views

How I can calculate this number

How I can calculate exactly this number: $$ \frac{(\sqrt{3}+2)^{2^{333111366}}+1}{(2^{333111367}-1)(\sqrt{3}+2)^{2^{333111365}}} $$ Several softwares do not support this number.
6
votes
4answers
108 views
+50

Software, techniques and tricks of experimental mathematics to conjecture possible closed forms

It often happens that people conjecture possible closed forms of integrals, series, and so on starting from a numerical value calculated to very high precision. What are the techniques, tricks, ...
0
votes
0answers
29 views

Hermitian Self Dual cyclic codes, using MAGMA

Does anyone know how to check a cyclic code is hermitian self-orthogonal / dual or not in MAGMA?
1
vote
1answer
62 views

Mathematica Question regarding NSolve

I'm trying to solve for 2-cycles for the equation $$x=xe^{r[1-x]}$$ using Mathematica. I've tried using NSolve, FindRoot, and Solve. When I use NSolve I input it as $$\textrm{NSolve}[xe^{r[1 - xe^{r[1 ...
2
votes
1answer
49 views

How we can drow a Blaschke $3$ ellipse?

Today I read the article Ellipses and Finite Blaschke Products (www.jstor.org/stable/3072367 Blaschke ellipses) by Ulrich Daepp, Pamela Gorkin, and Raymond Mortini. In there they have proved very nice ...
0
votes
0answers
30 views

Modified Lucas-Lehmer Test

Conjecture (Modified LL) Let $M_p=2^p-1$ such that $p$ is odd prime and $p\equiv 5 \pmod{6}$ . Let $S_i=S_{i-1}^8-8\cdot S_{i-1}^6+20\cdot S_{i-1}^4-16 \cdot S_{i-1}^2+2$ with $S_0=4$ , then $M_p$ ...
0
votes
2answers
58 views

Plot the graph of a discontinuous function of two variables using Maple

I want to plot the level curve of $xyz = 1$; According to wolfram alpha the plot should look like this; But instead I end up with; Here's my Maple code. I'm sure it's because the function is ...
0
votes
1answer
25 views

Where can I find a binary calculator that can do exponentiations, roots and logarithms?

I've searched on Google, but all I found was binary calculators that can do additions, subtractions, multiplications and divisions, nothing else.
2
votes
0answers
29 views

Highly Customizable Graphing Software for Algorithmic Art

For my local hacker/maker space I want to do some etched copper plates that have stylized algorithmic functions on them. If you've seen etched PCB circuits then you're familiar with what I'm talking ...
2
votes
0answers
41 views

Math software for plotting phase portraits

I'm looking for math software which is possible to plot phase portraits for ODE and systems of differential equations. Is there a software which can create not only simple 2D phase portrait plots but ...
5
votes
1answer
119 views

Efficient free alternative to *Mathematica*

I am searching for a free alternative to Mathematica. By efficient, I mean that it should have every (or at least almost every) function that you can find in Mathematica, including for example Number ...
1
vote
1answer
217 views

Is there software I can use to draw this graph?

So, I have this particular graph to consider. It has the vertex set $\{1,...,17\}$ and edge set $\{(i,j)|i+j ~\mbox{is prime}\}$. Define a cost function $c:E(G)\mapsto \mathbb{R}$ by setting ...
2
votes
1answer
57 views

Software for math sketching

Usually when you're writing in LaTeX you want some pretty illustrations. Right now for geometry figures I use GeoGebra, which is easy enough; but I usually see better figures on other papers. Plus, ...
0
votes
1answer
29 views

Exponential least squares biased to small y?

I'm working on fitting an exponential decay curve to a data set. While searching for techniques I found Wolfram's page describing how to easily accomplish it by taking the natural log of the ...
-1
votes
0answers
24 views

Why is Maple not simplifying this expression

This expression should simplify to zero, but Maple won't give me zero: $$ ...
0
votes
2answers
61 views

Defining a probability density function in R (software), and sampling from it

I'm asked to generate a random sample from a logistic distribution with the PDF, $$f(x)=\frac{e^{-x}}{(1+e^{-x})^2}$$ without using the function rlogis(...) So I ...
1
vote
3answers
154 views

Runge Kutta 8(5,3)

This is actually three small very related questions about Runge Kutta methods. 1) I have programmed a RK 7(8) method also RK 4(5). At the beginning I was assuming that the RK 7(8) uses two ...
0
votes
1answer
21 views

Mathcad simplify results using cnsg instead of 1

How can I prevent Mathcad from adding csgn to my siplification? Sample: (x-1)/((x-1)^2)1/2 simplify -> csgn(x-1) Image from Mathcad
0
votes
0answers
56 views

Calculations in McLain groups

Is there any program in GAP or other softwares doing calculations in McLain groups and finding subgroups etc. For the McLain groups see Derek Robinson's book: A course in the theory of groups, p347 ...
-2
votes
1answer
23 views

Is there a document creator that allows for basic entry? [closed]

I am really not sure how to word this... I'm wondering whether there is a program that allows for document writing, and works in a similar way to the Equation Editor in MS Word? (obviously without ...
1
vote
1answer
74 views

Formula rewriting software

I would like to have a program that rewrites formula's for me. What I would like a software where I can imput some formulas, constraints, and so on, and then the program outputs the formulas that ...
1
vote
1answer
54 views

What software and hardware can you use to write math and take notes?

I'm trying to basically replace paper. I want to be able to write things and draw things out as easily as I can on paper. I bought the Wacom Intuos tablet on Amazon but ended up returning because it ...
1
vote
0answers
24 views

Time series library in Java

I'm looking for a library to do some time series analysis in Java but I can't find anything suitable. I've found plenty of libraries such as Math3 of JSAT but there's much I can you for my problem. As ...
6
votes
2answers
143 views

Software or tool for investigating groups

I'm interested in software that has the ability to investigate finite groups. In particular, I'd like to be able to ask it questions like "What are the solutions to $x^3 = 1$?" (i.e. find cube roots ...
2
votes
0answers
47 views

What kind of structures can I count using Alg?

I'm interested in counting structures that satisfy certain constraints up to isomorphism. For example, I might want to know how many clutters there are on $n$ vertices. The only way I can think to ...
1
vote
1answer
51 views

Programming PARI/GP to do a sum

I'm trying to compute the following sum in PARI/GP $C=\sum_{n=1}^{\infty} \frac{g(n)}{n^2}$ where $g(n)$ defined as $$g(n)=(-1)^r, \qquad r=\text{number of even indexed prime factors of $n$}$$ By ...
3
votes
0answers
56 views

Program for writing a Bachelor Thesis. [closed]

Hello Im prolly going to start writing my bachelor thesis really soon (on geometric ergodicidy). It will obviously contain lots of mathematical formulas and symbols. Does anyone know a really good ...
1
vote
1answer
72 views

Implementing a function in PARI/GP

I want to define a function: $$g(n)= \begin{cases} +1 & \text{if $n=1$},\\ +1 & \text{if $n$ is an odd indexed prime}, \\ -1 & \text{if $n$ is an even indexed prime},\\ (-1)^r & ...
0
votes
1answer
37 views

How to represent R function dexp mathematically?

I need help representing this line of code mathematically. exp(sum(dexp(x,prop_theta,log=TRUE)) - sum(dexp(x,cur_theta,log=TRUE))) Thanks for your help in ...
0
votes
0answers
50 views

Can a Computer Algebra System 'experiment' with expressions?

I have recently been reading about software for symbolic manipulation, and I can see its use as a tool for performing large calculations that would be unfeasible otherwise. Given that these systems ...
0
votes
0answers
31 views

Tool for differentiating a matrix and solving a matrix equation (in closed-form)?

Is there any software or online tool that can analytically solve a complex matrix equation, such as the following one in closed form (not numerically)? $$\frac{\partial \; ...
1
vote
0answers
63 views

Any complex analysis book with programming assignment and exercises?

All: I had studied complex analysis long time ago. Now, I would like to review some material, particularly about Analytic function, Riemann zeta and Analytic function. I have been a software ...
5
votes
0answers
123 views

Any abstract algebra book with programming (homework) assignment?

All: I had studied abstract algebra long time ago. Now, I would like to review some material, particularly about Galois theory (and its application). Can anyone recommend an abstract algebra book ...
3
votes
2answers
108 views
1
vote
2answers
72 views

Free solvers in C/C++ for convex integer programming

I need to solve the following integer program: $\text{minimize } \sum_{i=1}^n(a_{i0} x_i + \sum_{k=1}^3 a_{ik}w_i^k + \sum_{j=1}^m d_{ij}y_{ij})$ $\text{subject to}$ $$ \sum_{i=1}^n y_{ij}=1, \quad ...
0
votes
0answers
35 views

Subject to in equation

I have the formula below: $$\hat x_2=\arg\min\lVert x\rVert_2\quad\text{subject to}\quad A{x}=y.$$ But I didn't understand what was meant by "subject to" ? does $x$ is replaced by $x_2$? please can ...
1
vote
1answer
63 views

Software to easily draw 3d plots from functions

my problem is that I need a way to quickly check results of my, that is to say, homework. I think that the best way to do this is to draw a plot of a function to quickly see whether my solution is ...
2
votes
1answer
68 views

Possibilities of calculate the determinant of an $168\times168$ matrix

Sincerely I've zero knowledge of this kind of math, but I've recently come to work in a friend's project to calculate a matrix of this size. This friend of mine has tried to do this with excel, with ...
1
vote
1answer
101 views

total number of combinations?

Patient Age ---> Avg Visits / Year <1 year ---> 7.5 1-4 years ---> 3.0 5-14 years ---> 1.8 15-24 years ---> 1.7 25-44 years ...
0
votes
0answers
38 views

How to reduce a graph via decomposition?

Is there a Java / C# library that can be used to reduce a graph via decomposition? Or could someone point me to a good tutorial where I can learn all these? E.g.
1
vote
1answer
54 views

What's the best software for primality tests of huge numbers? (check if an integer is prime or not)

I just read an article about huge prime numbers (some with more than 10millions digits!) that are discovered using software that check if an integer is prime or not (primality test sofwares). What is ...
-1
votes
3answers
28 views

point on a line and distance from a point [closed]

I have point(x1,y1) and point(x2,y2) these are end point of line and point(m,n) is a point. How can i find Point(a,b) which lies on the line ,that is the shortest path from point(m,n) to the line
0
votes
1answer
38 views

Solve a system of equations.

I have a system of equations: \begin{align} & x_{21} (\frac{\partial}{\partial x_{11}}f_{1111})( x_{11} , x_{21}, y_{11} , y_{21} ) + \frac{y_{21}}{x_{11}^2} (\frac{\partial}{\partial ...
0
votes
1answer
43 views

Aleks buttons that aren't needed? [closed]

I'm solving a problem on it, and to the side it gives me the button for fraction formatting. The buttons it gives are different for each problem. Does the fact the it's there mean that the answer has ...
4
votes
2answers
168 views

The J programming language: is it useful for mathematics?

I just stumbled upon the J programming language, which has the description: J is particularly strong in the mathematical, statistical, and logical analysis of data. It is a powerful tool in ...
1
vote
3answers
63 views

Creating fractals through computers

What are some beginner softwares for creating fractals on computers?
1
vote
0answers
19 views

Draw and compare the likelihood using R

The following shows the heart rate (in beats/minute) of a person, measured throughout the day: 73, 75, 84, 76, 93, 79, 85, 80, 76, 78, 80. Assume the data are an iid sample from ...
2
votes
5answers
734 views

What should I use Latex or Microsoft Word Professional? [closed]

What should I use Latex or Microsoft Word Professional for writing mathematics papers and documents and notes and courses...?
4
votes
1answer
87 views

Computer Algebra Systems for Experimental Mathematics (especially Integer Relations with PSLQ)

I would like to use a computer algebra system to do some experimental mathematics, particularly Integer Relation problems using the PSLQ algorithm. I know that Maple has a PSLQ implementation, but ...
86
votes
5answers
10k views

How were 'old-school' mathematics graphics created?

I really enjoy the style of technical diagrams in many mathematics books published in the mid-to-late 20th century. For example, and as a starting point, here is a picture that I just saw today: ...