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2
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0answers
28 views

Tensor Eigenstates

I have the following equation: $$f_i^´(t+1)=\sum_{jk}R_{i|jk}\tilde{f_j}(t)\tilde{f_k}(t)$$ It is about evolution of a population. I use this equation in my python program in the following way: ...
1
vote
2answers
39 views

How to check if two sets of vectors span the same space in matlab/python?

In MATLAB/Python, is there a way to compare the subspaces span by two different sets of vectors and check if they are the same?
1
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0answers
28 views

Finite field and its element with symbols [Sage / Python / …]

I have a finite field $T=GF(2^3)$, normal basis $(a, a^2, a^4)$ and polynomial $f$ from field $T$, which contains unknown variables / symbols. Is it possible to get vector with coordinates of f in ...
1
vote
0answers
22 views

Finding equilibrium points of a system of nonlinear differential equations

I am currently working on a spatially explicit ODE model with dispersion to study the population dynamics of mosquitoes. I wish to compute the equilibrium values of the populations as functions of the ...
1
vote
1answer
26 views

How to draw cubic plane curve?

In Python, using MatPlotLib, given [vector] parameters $a$ and $b$ and [scalar] parameter $c$, I want to draw a general cubic plane curve in 2-dimensional space (regular plane with $x$ and $y$ axes): ...
0
votes
1answer
54 views

What is the name of this formula??

Let formula_a = lambda array: sum(array) / len(array). We may rename this formula to be average or ...
0
votes
1answer
44 views

python code for parallel vectors

Wrote some Python code to verify if my Vectors are parallel and/or orthogonal. Parallel seems to be alright, orthogonal however misses out in one case. I thought that if the dotproduct of two vectors ...
0
votes
0answers
19 views

Picking a random word in python? [on hold]

I have a tuple which contains three lists in python and I want the interpreter to pick a random word from each list to make a sentence. How do I do this? Tuple = (['hi','hey','hello] ...
0
votes
0answers
18 views

Orthogonality of spherical Bessel functions

Please consider the following toy function $$ k_{i}\int^{\infty}_{0}j_{l}(k_{i}*x)*j_{l}(k*x)dx $$ where $j_{l}$ are spherical Bessel functions (sbf) and $k_{i}$ and $k$ are positive constants. It ...
0
votes
1answer
50 views

Generalized Hermite Function as eigenfunction of a differential operator

I'm going through this paper. The article defines function function $\phi_n^\mu(x)$ that is orthonormal on $L^2$ with measure $dm = dx$: \begin{equation} \phi^\mu_n ...
0
votes
0answers
13 views

How to change position of the axes values of a Sage plot.

I am plotting 2D functions on Sage, and I would like to move the values displayed along the $y$ axis (the ticks) from the left of the axis to the rigth, because they bother me there. I had a look and ...
0
votes
0answers
20 views

Computationally check for roots/positiveness of a big polynomial in a given interval

For a proof, I need to check that given a little interval $(0, 0.28)$ some concrete polynomials $\in \mathbb{Q}[w]$ (polynomials in one variable ranging over the real numbers, with degrees around 50) ...
0
votes
0answers
22 views

Discretization of nonlinear system for using extend Kalman filter in python

I have a continuous nonlinear system which includes three differential equations: $\dot{x}=f(x, u)+\omega_k$ Now I wanna use numerical method to make discretization of it. Then I can use it in a ...
-4
votes
0answers
69 views

Markov Decision Processes in Python using PyMDPToolbox [closed]

Consider a die with N sides (where N is an integer greater than 1 and less than 30) and a nonempty set B of integers between 1 and N (inclusive). The rules of the game are: 1 You start with 0 ...