MacBookPro.lan 2026-5-1:19:34:8

This commit is contained in:
oskar
2026-05-01 19:34:08 +02:00
parent b4167e89e2
commit c2b9fd356d
10 changed files with 82 additions and 109 deletions
+2 -2
View File
@@ -13,7 +13,6 @@
"nldates-obsidian",
"text-snippets-obsidian",
"quickadd",
"obsidian-list-callouts",
"languagetool",
"obsidian-meta-bind-plugin",
"obsidian-spaced-repetition",
@@ -41,5 +40,6 @@
"obsidian-sequence-hotkeys",
"notebook-navigator",
"obsidian-pandoc",
"break-page"
"break-page",
"obsidian-list-callouts"
]
+1 -1
View File
@@ -29,7 +29,7 @@
"annotateSuffix": "",
"annotatePrefix": "annotated_",
"annotatePreserveSize": false,
"previewImageType": "SVGIMG",
"previewImageType": "SVG",
"renderingConcurrency": 3,
"allowImageCache": true,
"allowImageCacheInScene": true,
+1 -1
View File
@@ -1,5 +1,5 @@
{
"lightStyle": "minimal-light",
"lightStyle": "minimal-light-white",
"darkStyle": "minimal-dark",
"lightScheme": "minimal-default-light",
"darkScheme": "minimal-default-dark",
@@ -41,122 +41,120 @@ ffd8bbb1f258e27c8d6d0cb5386c5dbe927d4d91: $$\left. \begin{array}[c]
%%
## Drawing
```compressed-json
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```
%%
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@@ -11,7 +11,7 @@ share_link: https://share.note.sx/2ev0yp52#Ts4dTsDh9iqnKsYdvy0SGx62WfsYG/bTGzULk
share_updated: 2026-01-15T00:03:04+01:00
---
- [ ] #task envoyer mail brice pour inscription moddle philo des maths ⏬
- [x] #task envoyer mail brice pour inscription moddle philo des maths ⏬ ✅ 2026-05-01
%% séance 1 (2026-01-12) %%
+1 -1
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@@ -1,6 +1,6 @@
# Todo
- [x] #task envoyer mail thibault bagory inscription moodle ⏫ ✅ 2026-03-22
- [ ] #task envoyer pdfs "le savoir mathématique" à @nuageblanc (esprits libre) ⏬
- [x] #task envoyer pdfs "le savoir mathématique" à @nuageblanc (esprits libre) ⏬ ✅ 2026-05-01
```tasks
due 2026-02-13
+1 -1
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@@ -9,7 +9,7 @@ due 2026-03-21
not done
```
# I did
- [ ] #task test
- [x] #task test ✅ 2026-05-01
> [!smallquery]- Modified files
> ```dataview
+10 -9
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@@ -32,16 +32,17 @@ Son principe est assez simple : étant donné un nombre, on produit le suivant e
- $11 \longrightarrow \text{deux }1$
- ${\color{#FCD600}2\color{#368CF3}1} \longrightarrow {\color{#FCD600}\text{un }2},\quad {\color{#368CF3}\text{un }1}$
- ${\color{#FCD600}1\color{#368CF3}2\color{#1B9419}11} \longrightarrow {\color{#FCD600}\text{un }1},\quad {\color{#368CF3}\text{un }2},\quad {\color{#1B9419}\text{deux }2}$
- $\underline{111\!}\,221 \longrightarrow \underline{\text{trois }1},\quad \text{deux }2,\quad \text{un} 1$
- $\underline{111\!}\,221 \longrightarrow \underline{\text{trois }1},\quad \text{deux }2,\quad \text{un } 1$
- $312211$
- $13112221$
- $1113213211$
La règle de définition est :
$a^{\alpha}b^{\beta}c^{\gamma}d^{\delta}\cdots \longrightarrow \alpha a\beta b\gamma c\delta d\cdots$
La règle définissant la suite peut alors être notée : $a^{\alpha}b^{\beta}c^{\gamma}d^{\delta}\cdots \longrightarrow \alpha a\beta b\gamma c\delta d\cdots$
# Notations
- On assimilera toujours les éléments d'un terme à des chiffres
- Comme les éléments de la suite sont plutôt des suites finies de chiffres que des nombres uniques, on appellera "chaine" un terme de la suite.
- On assimilera toujours les éléments d'une chaine à des chiffres strictement positifs.
- On se permettra de confondre "chaine" et "sous-chaine" (sous-ensemble de chiffres consécutifs d'une chaine) lorsque l'on traitera de propriétés locales.
- On pourra noter $,12,23,11,$ : les virgules précisent le "parsing", c'est-à-dire la bonne manière de lire la chaîne
- = $\dots 233 \dots \longrightarrow \dots ,12,23, \dots$ mais $122111 \centernot{\longrightarrow} \dots ,12,23,1\dots$ même si $122111 \longrightarrow \dots 12231 \dots$
- $L \longrightarrow L'$ signifie que $L$ est dérivée en $L'$ par désintégration audioactive
@@ -49,8 +50,8 @@ La règle de définition est :
- $L_{n}$ est le $n^{\text{ème}}$ *descendant* de $L$ (le résultat de $n$ dérivations de $L$)
- évidemment : $L_0 = L$ et $L_{n} \to L_{n+1}$
- i on peut noter $L \xrightarrow{n} L_{n}$
- On utilise $[$ et $]$ pour dénoter la "véritable fin" des morceaux de termes (des sous-suites consécutives d'un terme)
- = $[11222$ correspond à $11 222\cdots$
- On utilise $[$ et $]$ pour dénoter la "véritable fin" des sous-chaines
- = $[11222$ correspond à $11 222\cdots$ autrement dit, la chaine continue potentiellement à droite, mais pas à gauche
- On utilise les puissances pour la répétition
- = $3^{4}2^{1}1^{5} = 333211111$
- i on prends toujours la plus grande puissance possible (par exemple, $11111$ ne sera jamais noté comme $1^{2}1^{3}$) (cela est important pour les premiers théorèmes)
@@ -147,7 +148,7 @@ La règle de définition est :
> - $\overparen{[1^{1}X^{1} \longrightarrow [1^{3} \longrightarrow [3^{1}X^{\neq 3}} \longrightarrow [1^{1}X^{1} \longrightarrow \cdots$
> - $\overparen{[2^{2}1^{1}X^{1} \longrightarrow [2^{2}1^{3} \longrightarrow [2^{2}3^{1}X^{\neq 3}} \longrightarrow [2^{2}1^{1}X^{1} \longrightarrow \cdots$
>
> > [!démonstration]- Démonstration
> > [!démonstration]+ Démonstration
> > Explorons les valeurs possibles de $R$ en supposant que $R$ est âgée de 2 jours ou plus, et ne commence pas par $2^{2}$.
> > Eliminons à chaque fois les valeurs impossibles (notamment en utilisant les théorèmes [[désintégration audioactive#^thm-jour-1|du jour 1]] et [[désintégration audioactive#^thm-jour-2|du jour 2]]) :
> > - Si $R$ commence par $1$
@@ -232,7 +233,7 @@ La règle de définition est :
> > - $[n^{1}$
> >
> > De là, on observe que toutes les possibilités convergent vers l'un des cycles donnés :
> > ![[demo_théorème_du_début.excalidraw|700]]
> > ![[demo_théorème_du_début.excalidraw|560]]
> >
> > Par ailleurs, si $R$ commence par $[22$ :
> > - si $R = [22]$ la preuve est triviale
@@ -284,7 +285,7 @@ La règle de définition est :
> [!proposition]+ Théorème de la fin
> La fin d'une chaîne finit toujours par atteindre l'un de ces cycles :
> ![[ attachments/désintégration audioactive théorème de la fin cycles.excalidraw|950]]
> ![[attachments/désintégration audioactive théorème de la fin cycles.excalidraw|950]]
>
> > [!démonstration]- Démonstration
> > - Une chaîne se terminant par $1$ apparaîtra nécessairement dans cette suite de dérivations (en effet, tous les cas de chaîne finissant par $1$ y sont présents) :
+5 -31
View File
@@ -1,38 +1,14 @@
---
tags:
- s/PKM
---
> [!smalltodo] Todo - [[todo|real todo list]]
> ```tasks
> not done
> short mode
> ```
```contributionGraph
title: Tasks completed
graphType: default
dateRangeValue: 180
dateRangeType: LATEST_DAYS
startOfWeek: 0
showCellRuleIndicators: true
titleStyle:
textAlign: left
fontSize: 15px
fontWeight: normal
dataSource:
type: ALL_TASK
value: ""
dateField:
type: FILE_NAME
filters:
- id: "1774113825001"
type: CONTAINS_ANY_TAG
value:
- "#task"
- id: "1774114013540"
type: STATUS_IS
value: COMPLETED
fillTheScreen: false
enableMainContainerShadow: false
cellStyleRules: []
```
> [!smallquery] Done
> ```tasks
> done after 14 days ago
@@ -41,5 +17,3 @@ cellStyleRules: []
> ```
#s/PKM are in the end to save visual space at the top