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2
votes
1answer
58 views

Finding the least prime of the form $6^{6^6}+k$

I try to find the least prime number of the form $6^{6^6}+k$. I sieved out the candidates by trial division upto $10^6$, but there are still many candidates left upto $k=10000$ How can I further ...
-1
votes
1answer
30 views

What program to use? [on hold]

I am new in the research for Homotopy type theory. I want to know what program to use. Can anyone please help. Many Thanks Vishal.
0
votes
0answers
5 views

What is the formula for FvSchedule & Ispmt functions in excel? [closed]

What is the actual formula behind the FVSCHEDULE & ISPMT function in MS OFFICE Excel? From where can we find reference for that.
0
votes
0answers
22 views

please answer with explanation [closed]

A basket contains 2 blue, 4 red ,3 green and 5 black balls. if 4 balls are picked at random what is probability that either 2 are blue and 2 are red or 2 are green and 2 are black
1
vote
1answer
27 views

Scaling axis on Mathematica's plots

I'm trying to get the plot below only I want the ratio y:x to be 1:1 instead of 2:1. I want the ellipse to look tall and slim instead of short and fat. Here's the code line if you want to copy and ...
0
votes
0answers
5 views

Form Poset from (Non-zeta) Matrix

I have a matrix (well, really a table) of values that are the results of various indicator systems. Naturally, each system is slightly discordant, so no one true ranking exists. I'm looking to form ...
1
vote
2answers
89 views

Tools for understanding Abstract Mathematics

I want to explore the concepts of Groups, Rings and Fields for practical application. Are there beginner-friendly tools available to simplify, accelerate, verify the understanding of concepts in ...
1
vote
1answer
41 views

Implicit plot3d in Sage Math

I am currently trying out using the math software Sage. I am currently in a Calculus III class at my university so I was hoping to be able to leverage its 3D graphing capabilities. In one particular ...
1
vote
1answer
20 views

Mathcad doesn't calculate an expresion

could anyone help how to force Mathcad to calculate an expression. After some steps I got such result: http://i.imgur.com/7FtprAI.png but how can I get the result of such expression? Thank you!
3
votes
3answers
162 views

Recommendations for Commutative Algebra Software?

I'd like a software that I can use to work with commutative algebra, specifically to figure out S-Polynomials, Buchberger's Algorithm, etc. I have Mathematica; if anyone could refer me to a package, ...
0
votes
2answers
20 views

Paramertized ellipses

I have $a^2 = (4x-8)^2 + 4y^2$ and $b^2=(4x+8)^2 + 4y^2$ which I switch between every $t=\frac{n\pi}2$ How do I draw this touching the origin, and moving outwards, noting that ...
1
vote
0answers
35 views

Drawing Phase planes with one input, rather than long scripting

What software can be used to draw phase planes easily? I want to input some $\begin{pmatrix}x_1 \\ x_2\end{pmatrix}=$blahblah, and have it plotted with or without initial conditions. Is there any ...
0
votes
1answer
17 views

Converting to Power of Ten Representaion

For very large calculations Wolfram Alpha offers a variety of different representations of the number. One of these is the number written in the form $10^{10^n}$, where $n$ is usually some long ...
0
votes
0answers
5 views

Statics of a Rigid Body

The I-beam A-B shown below is supported by a cable at B and a pin at A. The cable is inclined at an angle, θ = 23° to the longitudinal axis of the beam. The beam supports a load, m, of 8 kN at a ...
0
votes
1answer
28 views

Is there free software that can be used to generate a chain rule tree graph?

I'm in multivariate calculus and we just finished up the chain rule. One of the methods for solving this is to produce a tree graph and traverse it. An example would be this tree graph taken from my ...
0
votes
4answers
40 views

Recommendation for free graph plotter that can produce beautiful graphs

Can anyone please recommend a good free graph plotter that I can download. I am looking for a program that can produce neat looking graphs with all the axes, grids and that can plot many different ...
0
votes
2answers
88 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
168 views

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
32 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
67 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
54 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
38 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
3answers
81 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
30 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
33 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
54 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
131 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
221 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
65 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
39 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 ...
0
votes
2answers
68 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
171 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
22 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
57 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
26 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
75 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
59 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
39 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
145 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
60 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
61 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
86 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
43 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
53 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
32 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
69 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
130 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
112 views
1
vote
2answers
80 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 ...