For questions concerning Sage.
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0answers
13 views
Convolving two functions doesn't work as expected in sage
I'm trying to convolve two functions as follows:
...
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0answers
19 views
How to append integers in sage
Does anyone know how to append integers using sage or python?
Example: v = 11; x = 45;
After appending: 1145
Please help
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1answer
27 views
Number of four-term GPs consisting of positive integers under 100: how to write a program
Note: This is a past question from Brilliant.org
I was recently thinking about how to write a program which fetches you the number of 4-term geometric progressions consisting of positive integers ...
5
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1answer
81 views
Finding irreducible representations of the following group using GAP
Given the following group of order 24, $$ G = \langle a,b \mid a^2=b^3=(abab^2)^2=1\rangle$$ how can one find (all) the irreducible representations using GAP? Since I have not installed GAP yet, I ...
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0answers
68 views
Necessary and sufficient conditions for Hensel lifting in the multidimensional case
in Multidimensional Hensel lifting, @Hurkyl gave a neat sufficient condition for the existence of $p$-adic liftings in the multidimensional case. I have finally gotten around (but please also see ...
3
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0answers
50 views
p-adic liftings on SAGE
I asked a question the other day:
Multidimensional Hensel lifting
which @Hurkyl kindly and very elegantly answered. A follow-on from this is that I have tried to implement exactly the "algorithm" ...
1
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1answer
39 views
What does the $[(0 : 3 : 1)]$ means in Sage.
I tried to solve the integer points of $y(y+2)=x^3+(x+3)(x+5)$ by using Sage's command E.integral_points(). Its output was $[(0 : 3 : 1)]$. I tried that ...
1
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0answers
21 views
Running gp in sage how do I access. e.g.. e.j
I am new to sage and I am trying to run the gp interface.
In gp I can define an elliptic curve e and then access j by e.j
...
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0answers
39 views
defining elliptic curve over general field in SAGE
How would one define an elliptic curve of over the algebraic closure of a field which is not a finite field or a number field on SAGE? Specifically, I'd like to define the curve over the algebraic ...
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2answers
123 views
Fitting normal distribution to the data
I have been given a set of data points. How can I find the best fit of the form $$\frac{1}{\sqrt{2\pi}\sigma}e^{-\frac{(x-\mu)^2}{\sigma^2}}?$$
Even better if Sage can do it. And how can I approximate ...
5
votes
1answer
133 views
Create Graph In Sage
I want define new graph in sage. Let $V$ be vector space over finite field $GF(q)$. The graph's vertices are 1-dimensional subspace from $V$ and $n-1$ -dimensional subspace from $V$ and two vertices ...
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1answer
128 views
Converting GAP groups into SAGE permutation groups.
I have been working with SAGE online, and have made some programs to test some hypothesis about finite groups. However, the pre-defined "named" groups in SAGE are quite limited (basically, the ...
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1answer
146 views
In Sage, how to extract coefficient of a polynomial in a ring
For instance, $f=x^2y^2+1$ is an element of $\mathbb{C}[x,y]$, I want to extract the coefficient of $x^2$, which is $y^2$. However "f.coefficient(x,2)" only works for symbolic expressions, are there ...
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1answer
70 views
How to define a polynomial with abstract coefficients in Sage
Let $f=ax^2+b$ be a polynomial in $Q[x]$, how to define $f$ in sage?
4
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0answers
61 views
Using sage to test for squares in residue fields
Let $K$ be a number field, $x \in \mathcal{O}_K$, and $\mathfrak{p} $ a prime of $K$. I want to find out using sage whether or not the reduction of $x$ modulo $\mathfrak{p}$ is a square in the ...
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0answers
108 views
2
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1answer
208 views
How to draw a Frenet Trihedron in Sage?
How would I draw this in sage? It's a Frenet Trihedron along a given curve:
Tools other then Sage are welcome too.
Im just interested in which equations I need to input, besides the curve to ...
0
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1answer
78 views
How to draw a cone in Sage?
Given a cone with equation
z^2 = x^2 + y^2,
how would I draw it in Sage?
I tried turning it into a function and passing arguments but it didn't work out for me.
1
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0answers
55 views
Are there some useful video podcast channels about SAGE?
I am wondering that if there is any convenient video source to reach and have benefit from it in order to learn and use SAGE (Maths Software)?
I've known the official help page ( ...
3
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1answer
198 views
Prove that curve lies on a cone?
I have a curve given by this equation:
$$c(t) = (t\cos t,t \sin t,t)$$
I need to prove that this curve lies on a cone, and draw that cone and curve in Sage.
I've read somewhere that I could prove it ...
1
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1answer
72 views
Sage returning 0 for curve arc length (integrals)
I'm using Sage to calculate a curve arc length.
Basically, the curve is given by this equation:
In sage, I'm calculating it's arc length by using this formula:
...
1
vote
0answers
70 views
How to calculate $L'(1,\chi)/L(1,\chi)$ in SAGE?
Question as in title, where $L(s,\chi)$ is the Dirichlet $L$-function associated with the nontrivial character modulo $3$. Please provide complete SAGE code. Thank you in advance.
1
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1answer
111 views
A question about modular forms in SAGE
I was trying to solve Exercise 1.4.5 in Alvaro Lozano-Robledo's book Elliptic Curves, Modular Forms and Their L-functions, which is about representations of integers as sums of 6 squares and its ...
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1answer
3k views
Is there a symbolic math package for octave?
I am using Octave (3.6) on Ubuntu 10.0.4 LTS. I want to do some research involving symbolic math. I was thinking of downloading sage (I just found about it today) - but thought I'd better ask in here ...
1
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2answers
244 views
How to load and use a PARI/GP script in Sage notebook?
I don't know whether this is the correct place to ask such a question, but I am dealing with this problem for a couple of days.
Take for example the script ...
11
votes
1answer
3k views
Is Sage on the same level as Mathematica or Matlab for graph theory and graph vizualization?
The context:
I'm going to start working on a project that involves running predefined algorithms (and defining my own) for very big graphs (thousands of nodes). Visualization would also be welcome if ...
1
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2answers
183 views
Help need in Mathematica or Sage
I want to find the common positive solutions of two polynomials $f_{a,b}(x,y)$, $g_{a,b}(x,y)$ where $a,b$ runs from 0 to 1 with an interval 0.01. Let $(x_0,y_0)$ be a common positive solution. Then ...
