device-56.home 2026-3-30:1:7:13

This commit is contained in:
oskar
2026-03-30 01:07:13 +02:00
parent 47ef3598ad
commit 9462c5ad97
5 changed files with 327 additions and 5 deletions

View File

@@ -0,0 +1,163 @@
---
excalidraw-plugin: parsed
tags: [excalidraw]
---
==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving'
# Excalidraw Data
## Text Elements
## Embedded Files
0c2ad4dae5ed514b2fd2099d68d0760c69fbce4d: $$[1^{1}]$$
f9c478059e1cce4e96a58e13baac6bfbb4f93eff: $$[1^{1}X^{1}$$
214cc7890168fcc3649c7581bd637e267a6de7bf: $$[1^{1}2^{2}$$
b18bdef3da0413f7746baa48a7e7f762a2e4916b: $$[1^{2}2^{\leq 3}$$
84fa363149df51fc341b5998c6b4e67ed3dbdb8e: $$[1^{3}$$
3256cc1c40b0b8b24d0786b5ebf5ac8af8c6dfbc: $$[1^{3}2^{2}$$
c8deffe9491fd6c3ae202ac1a71b19be49cae623: $$[2^{1}X^{\leq 2}$$
ff3aadee8b3edf557ea486d814e006d09ea0a1ea: $$[3^{1}(\neq 1)^{1}$$
774cbd1b3b01d8a0215e44a46a7b08a6c6d02c6d: $$[3^{1}(\leq 2)^{2}$$
cd11df8a779967be96188765734baafb07f336e2: $$[3^{1}1^{\leq 3}$$
3a05a3f287155fc16280dc58486ab230c358b267: $$[3^{1}2^{\leq 3}$$
ffd8bbb1f258e27c8d6d0cb5386c5dbe927d4d91: $$\left. \begin{array}[c]
\\ \\ \\ \\
\end{array} \right\}$$
%%
## Drawing
```compressed-json
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```
%%

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---
excalidraw-plugin: parsed
tags:
- excalidraw
---
==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== You can decompress Drawing data with the command palette: 'Decompress current Excalidraw file'. For more info check in plugin settings under 'Saving'
# Excalidraw Data
## Text Elements
## Embedded Files
0c2ad4dae5ed514b2fd2099d68d0760c69fbce4d: $$[1^{1}]$$
f9c478059e1cce4e96a58e13baac6bfbb4f93eff: $$[1^{1}X^{1}$$
214cc7890168fcc3649c7581bd637e267a6de7bf: $$[1^{1}2^{2}$$
b18bdef3da0413f7746baa48a7e7f762a2e4916b: $$[1^{2}2^{\leq 3}$$
84fa363149df51fc341b5998c6b4e67ed3dbdb8e: $$[1^{3}$$
3256cc1c40b0b8b24d0786b5ebf5ac8af8c6dfbc: $$[1^{3}2^{2}$$
c8deffe9491fd6c3ae202ac1a71b19be49cae623: $$[2^{1}X^{\leq 2}$$
ff3aadee8b3edf557ea486d814e006d09ea0a1ea: $$[3^{1}(\neq 1)^{1}$$
774cbd1b3b01d8a0215e44a46a7b08a6c6d02c6d: $$[3^{1}(\leq 2)^{2}$$
cd11df8a779967be96188765734baafb07f336e2: $$[3^{1}1^{\leq 3}$$
3a05a3f287155fc16280dc58486ab230c358b267: $$[3^{1}2^{\leq 3}$$
ffd8bbb1f258e27c8d6d0cb5386c5dbe927d4d91: $$\left. \begin{array}[c]
\\ \\ \\ \\
\end{array} \right\}$$
%%
## Drawing
```compressed-json
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```
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@@ -189,14 +189,21 @@ header-auto-numbering:
> > - $[1^{1}2^{2}$
> > - $[1^{2}2^{\leq 3}$
> > - $[1^{3}X^{1}$ ou, plus généralement $[1^{3}$
> > - $[1^{3}2^{2}$
> > - $[1^{3}2^{2}$ ou, plus généralement $[1^{3}$
> > - $[2^{1}X^{\leq 2}$
> > - $[2^{3}$
> > - $[3^{1}X^{1}$
> > - $[3^{1}(\leq 2)^{\leq 3}$ qui peut être de l'une des formes :
> > - $[3^{1}$
> > - $[3^{1}X^{1}$ que l'on restreint à $[3^{1}(\neq 1)^{1}$ pour que les cas soient bien disjoints
> > - $[3^{1}(\leq 2)^{2}$
> > - $[3^{2}(\leq 2)^{\leq 3}$ qui est l'une de ces deux possibilités :
> > - $[3^{1}1^{\leq 3}$
> > - $[3^{1}2^{\leq 3}$
> > De là, on observe que toutes les possibilités convergent vers l'un des cycles donnés :
> > ![[demo_théorème_du_début.excalidraw]]
> >
> > ![[sources/1 - articles/Open problems in communication and computation (Cover, T. M., 1938-, Gopinath, B) (z-library.sk, 1lib.sk, z-lib.sk).pdf#page=186&rect=12,345,377,408|p.186]]
> > Par ailleurs, si $R$ commence par $[22$ :
> > - si $R = [22]$ la preuve est trivialle
> > - sinon on considère un $R'$ tel que $R = [22 \cdot R'$, et on utilise l'argument précédent pour montrer que $R'$ arrive sur le cycle $[1^{1}X^{1} \longrightarrow [1^{3} \longrightarrow [3^{1}X^{\neq 3}$
> > [[sources/1 - articles/Open problems in communication and computation (Cover, T. M., 1938-, Gopinath, B) (z-library.sk, 1lib.sk, z-lib.sk).pdf#page=186&rect=12,345,377,408|schéma original de Conway p.186]]