Questions tagged [visualization]
The visualization tag has no summary.
48 questions
3
votes
1
answer
609
views
Visualizing the elements of a finite group and does the Gram matrix determine the finite group?
Let $G$ be a finite group with $n = |G|$ elements. By Cayley's theorem for finite groups, we have an injective homomorphism of groups:
$$
\pi : G \rightarrow S_n, \quad g \mapsto \pi(g)
$$
where ...
4
votes
1
answer
356
views
Why should we expect this odd behavior of negative binomial distributions?
In independent Bernoulli trials with probability $p$ of success on each trial, let $X$ be the number of failures before the $n$th success. Then
$$
\Pr(X=x) = \binom{-n}{\phantom{+}x} (-q)^x p^n \text{ ...
8
votes
0
answers
777
views
What is the nicest bijection $\textbf{R}^p \to \textbf{R}^q$ that you know?
It is well-known that bijection between $\textbf{R}^p$ and $\textbf{R}$ exist (e.g. here, though many other examples exist).
The problem with all these examples of bijections is that typically the ...
1
vote
0
answers
129
views
1D representation of 2D discrete Fourier transformation [closed]
I'm not too familiar with image processing, so I need a little help:
In general, if we transform a discrete function $f$ with $n$-variables from the "spatial domain" using the Fourier ...
- 11
2
votes
0
answers
172
views
Visualisation of general 3x3 matrices, with applications to the pedagogy of linear algebra?
I've got a method for visualising non-zero $2 \times 2$ real matrices (modulo non-zero scalar factor) using the fact that:
Nonnegative determinant matrices (modulo non-zero scalar factor) are in 1-to-...
- 5,033
0
votes
0
answers
242
views
Possible shifts in finite elementary cellular automata
I investigated the long term behaviour of a pair of black cells ■■ on a circle of $N$ cells under the action of each of Wolfram's rules $R$. For each combination $(R,N)$ I determined the first ...
- 9,982
1
vote
0
answers
474
views
Astonishing affinity of Wolfram's rule 110 to the numbers 2 and 7
I investigated the evolution of a single black cell on 1-dimensional grids with periodic boundary conditions of variable sizes $N$ under Wolfram's rule 110 which is the only one for which Turing ...
- 9,982
1
vote
1
answer
1k
views
Plot two implicit surfaces in 3D and highlight their intersection [closed]
I want to plot the two surfaces which are defined in $ \mathbb{ R }^3 \ni ( x, y, z ) $ via the equations $ 0 = y^2 - x*(x^2 + 1) $ and $ 0 = z^2 - y*(y^2 + 1) $, respectively.
Moreover, I want also ...
- 337
9
votes
1
answer
806
views
Aphantasiac mathematicians? [duplicate]
Over the past few years there's been a fair amount of publicity given to the phenomenon of aphantasia, the condition of being unable to form visual images in one's mind or remember what things look ...
0
votes
1
answer
131
views
Visualization PDF of distribution defined by quantiles
How can I visualise PDF of distribution defined by quantiles, that I predict with my neural network? Now I'm passing quantiles to the histogram, but I don't think it is the correct way for visualising....
13
votes
2
answers
1k
views
Visualizing holomorphic differentials on a compact Riemann surface?
It is a classical result that the vector space of holomorphic differentials on a compact Riemann surface of genus $g$ has dimension $g$. I am wondering if there is a way of visualizing this wonderful ...
- 91.1k
1
vote
0
answers
85
views
Barycentric coordinates of weighted edges
Given $K_n$ with weighted edges, we can fix an edge $e_{AB}$, iterate over all non-adjacent edges $e_{CD}\in E\setminus e_{AD}$ and record how often $e_{AB}$ was in the lightest, intermediate or ...
- 14.2k
1
vote
0
answers
63
views
Methods for useful visualisations of complete weighted graphs
Question:
which methods for visualising complete weighted and symmetric graphs, i.e. $K_n$, are useful in the sense that they can aid in mathematical research?
The Traveling Salesman Problem may ...
- 14.2k
1
vote
1
answer
84
views
Represent multivariate data [closed]
I am not sure if this is the best place for my question. Please delete if it is not, but I would really appreciate some suggestions.
I want to graphically represent multivariate data. I have 7 ...
- 11
31
votes
2
answers
4k
views
What (or how) are the new spaces of derived algebraic geometry?
I am a beginner in derived algebraic geometry and I am trying to develop some visual and geometrical intuition about derived schemes (and stacks), or more precisely about the new geometrical phenomena ...
- 807