From 99fa6f33bb54fddcd199ac9560b747833d2d7ba7 Mon Sep 17 00:00:00 2001
From: oskar <oscarplaisant@icloud.com>
Date: Sun, 27 Jul 2025 20:45:12 +0200
Subject: [PATCH] MacBook-Pro-de-Oscar.local 2025-7-27:20:45:12

---
 1248.md                                       |   32 +-
 1248.pdf                                      |  Bin 0 -> 147088 bytes
 .../Drawing 2025-07-27 20.44.38.excalidraw.md |   14 +
 Excalidraw/arbres ternaires.excalidraw.md     | 6025 ++---------------
 Excalidraw/arbres ternaires.excalidraw.svg    |   10 +
 ... de régions avec n+1 cercles.excalidraw.md |  904 +--
 ...de régions avec n+1 cercles.excalidraw.svg |   10 +
 7 files changed, 530 insertions(+), 6465 deletions(-)
 create mode 100644 1248.pdf
 create mode 100644 Excalidraw/Drawing 2025-07-27 20.44.38.excalidraw.md
 create mode 100644 Excalidraw/arbres ternaires.excalidraw.svg
 create mode 100644 Excalidraw/nombre de régions avec n+1 cercles.excalidraw.svg

diff --git a/1248.md b/1248.md
index 956c0a9c..35b27217 100644
--- a/1248.md
+++ b/1248.md
@@ -1,15 +1,24 @@
-
+---
+documentclass: beamer
+header-includes:
+  \usepackage{amsmath, amssymb, amsfonts, mathrsfs}
+  \usepackage{svg}
+tags: ["s/maths"]
+---
 
 
 ---
+
 # 1 2 4 8 ... et après ?
 
 
 ---
+
 # Première réponse
 1, 2, 3, 4, 8, 16, 32...
 
 ---
+
 # Puissances de Deux
 
 1, 2, 4, 8, 16, 32...
@@ -18,6 +27,7 @@
  - C'est la suite des puissances de $2$
 
 ---
+
 # Puissances de Deux
 
 1, 2, 4, 8, 16, 32...
@@ -28,11 +38,14 @@
      - la partie remporte 1, puis 2, puis 4 etc...
 ---
 
-![[de Videau.png]]
+\includegraphics{images/de Videau.png}
 
 ---
+
 # Autres réponses
+
 ---
+
 # Somme des chiffres des puissances de 2
 
 **1, 2, 4, 8, 7, 5, 10, 11, 13**, 8, 7, 14, 19, 20, 22, 26, 25, 14, 19, 29, 31, 26, 25, 41
@@ -49,6 +62,7 @@
 | $\vdots$       | $\vdots$                   |
 
 ---
+
 # Somme de tous les chiffres précédents
 
 **1, 1, 2, 4, 8, 16, 23,** 28, 38, 49, 62, 70, 77, 91, 101, 103, 107, 115, 122, 127, 137 ...
@@ -67,6 +81,7 @@
 | $\vdots$ | $\vdots$                   |
 
 ---
+
 # Partie entière de $\frac{n^{\;2}}{2}$
 0, 0, **2**, **4**, **8**, 12, 18, 24 ... 
 
@@ -82,6 +97,7 @@ $n \mapsto \left\lfloor \dfrac{n^{2}}{2} \right\rfloor$
 | $\vdots$       | $\vdots$                   |
 
 ---
+
 # U
 **1, 2, 4, 8, 9, 12, 14, 15 ...**
 
@@ -89,16 +105,21 @@ les nombres qui s'écrivent avec "u"
 
 
 ---
+
 # Arbres ternaires à n points
-![[arbres ternaires.excalidraw|700]]
+
+\includesvg{Excalidraw/arbres ternaires.excalidraw.svg}
 
 ---
+
 # Cercles
 Nombre de régions avec $n$ cercles
 **1, 2, 4, 8**, 14, 22, 32...
-![[nombre de régions avec n+1 cercles.excalidraw|700]]
+
+\includesvg{Excalidraw/nombre de régions avec n+1 cercles.excalidraw.svg}
 
 ---
+
 # Puissances d'une racine de 18
 **1, 2, 4, 8**, 17, 37, 76, 157...
 $n \mapsto \left\lfloor \left(\sqrt{\sqrt{18}}\right)^{n} \right\rfloor$
@@ -107,6 +128,7 @@ $\sqrt{\sqrt{18}} \approx 2.059767144$
 
 
 ---
+
 # Diviseurs
 
 Diviseurs de 88 : **1, 2, 4, 8**, 11, 22, 44, 88
@@ -128,6 +150,7 @@ Diviseurs de 832 : **1, 2, 4, 8**, 13, 16, 26, 32, 52,  64, 104, 208, 416, 832
 Diviseurs de 136 : **1, 2, 4, 8**, 17, 34, 68, 136.
 
 ---
+
 # Polynômes de Lagrange
  
 1, 2, 4, 8, 11 --> $-\frac{1}{6}x^{4} + \frac{11}{6}x^{3} – \frac{19}{3} x^2 + \frac{29}{3} x -4$
@@ -142,5 +165,6 @@ Diviseurs de 136 : **1, 2, 4, 8**, 17, 34, 68, 136.
 1, 2, 4, 8, 20 --> $\frac{5}{24}x^{4} – \frac{23}{12}x^{3} + \frac{163}{24}x^{2} - \frac{109}{12}x+5$
 
 ---
+
 # Il y en a plein ! 
 
diff --git a/1248.pdf b/1248.pdf
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literal 0
HcmV?d00001

diff --git a/Excalidraw/Drawing 2025-07-27 20.44.38.excalidraw.md b/Excalidraw/Drawing 2025-07-27 20.44.38.excalidraw.md
new file mode 100644
index 00000000..15093316
--- /dev/null
+++ b/Excalidraw/Drawing 2025-07-27 20.44.38.excalidraw.md	
@@ -0,0 +1,14 @@
+---
+
+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'
+
+
+## Drawing
+```compressed-json
+N4IgLgngDgpiBcIYA8DGBDANgSwCYCd0B3EAGhADcZ8BnbAewDsEAmcm+gV31TkQAswYKDXgB6MQHNsYfpwBGAOlT0AtmIBeNCtlQbs6RmPry6uA4wC0KDDgLFLUTJ2lH8MTDHQ0YNMWHRJMRZFAHZFAFYyJE9VGEYwGgQAbQBdcnQoKABlALA+UEl8PGzsDT5GTkxMch0YIgAhdFQAayKuRlwAYXpMenwEEABiADMx8ZAAX0mgA
+```
+%%
\ No newline at end of file
diff --git a/Excalidraw/arbres ternaires.excalidraw.md b/Excalidraw/arbres ternaires.excalidraw.md
index cf4226fd..01a7ea21 100644
--- a/Excalidraw/arbres ternaires.excalidraw.md	
+++ b/Excalidraw/arbres ternaires.excalidraw.md	
@@ -7,7 +7,9 @@ tags: [excalidraw]
 ==⚠  Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
 
 
-# Text Elements
+# Excalidraw Data
+
+## Text Elements
 3 ^Ero5MwwL
 
 4 ^UH2PJ26P
@@ -19,5647 +21,384 @@ tags: [excalidraw]
 1 ^hwoo05ld
 
 %%
-# Drawing
-```json
-{
-	"type": "excalidraw",
-	"version": 2,
-	"source": "https://github.com/zsviczian/obsidian-excalidraw-plugin/releases/tag/1.8.17",
-	"elements": [
-		{
-			"type": "rectangle",
-			"version": 572,
-			"versionNonce": 1480427321,
-			"isDeleted": false,
-			"id": "0Ex-BqljiLV3RvsMU6fkw",
-			"fillStyle": "hachure",
-			"strokeWidth": 1,
-			"strokeStyle": "solid",
-			"roughness": 1,
-			"opacity": 100,
-			"angle": 0,
-			"x": 14.151570638020871,
-			"y": -621.954408557019,
-			"strokeColor": "#000000",
-			"backgroundColor": "transparent",
-			"width": 255.30757393412856,
-			"height": 161.73503112792972,
-			"seed": 669063936,
-			"groupIds": [
-				"gDZ4lXM0eUhkAmZQ2hmmi"
-			],
-			"roundness": null,
-			"boundElements": [],
-			"updated": 1657545264785,
-			"link": null,
-			"locked": false
-		},
-		{
-			"type": "ellipse",
-			"version": 674,
-			"versionNonce": 2041341143,
-			"isDeleted": false,
-			"id": "pA70v3vqb51mAdaaz1w6T",
-			"fillStyle": "hachure",
-			"strokeWidth": 1,
-			"strokeStyle": "solid",
-			"roughness": 1,
-			"opacity": 100,
-			"angle": 0,
-			"x": 110.39815885178638,
-			"y": -520.0006775802449,
-			"strokeColor": "#000000",
-			"backgroundColor": "transparent",
-			"width": 7.047607421875,
-			"height": 7.047607421875,
-			"seed": 1310350080,
-			"groupIds": [
-				"h6mZSp6qhWtZkw8LF4EYQ",
-				"gDZ4lXM0eUhkAmZQ2hmmi"
-			],
-			"roundness": null,
-			"boundElements": [
-				{
-					"id": "3H1YlktcKXc1cfTTITHA9",
-					"type": "arrow"
-				},
-				{
-					"id": "sffXifLvJqJfBJBk5SdEK",
-					"type": "arrow"
-				}
-			],
-			"updated": 1657545264786,
-			"link": null,
-			"locked": false,
-			"customData": {
-				"legacyTextWrap": true
-			}
-		},
-		{
-			"type": "ellipse",
-			"version": 439,
-			"versionNonce": 291125273,
-			"isDeleted": false,
-			"id": "zi2D04wqLw71GF25TaV0y",
-			"fillStyle": "hachure",
-			"strokeWidth": 1,
-			"strokeStyle": "solid",
-			"roughness": 1,
-			"opacity": 100,
-			"angle": 0,
-			"x": 74.54830533616138,
-			"y": -574.744116300948,
-			"strokeColor": "#000000",
-			"backgroundColor": "transparent",
-			"width": 7.047607421875,
-			"height": 7.047607421875,
-			"seed": 148036352,
-			"groupIds": [
-				"h6mZSp6qhWtZkw8LF4EYQ",
-				"gDZ4lXM0eUhkAmZQ2hmmi"
-			],
-			"roundness": null,
-			"boundElements": [
-				{
-					"id": "3H1YlktcKXc1cfTTITHA9",
-					"type": "arrow"
-				}
-			],
-			"updated": 1657545264786,
-			"link": null,
-			"locked": false,
-			"customData": {
-				"legacyTextWrap": true
-			}
-		},
-		{
-			"type": "ellipse",
-			"version": 494,
-			"versionNonce": 1922544119,
-			"isDeleted": false,
-			"id": "WA3Ay43UdGx_wCl395XMV",
-			"fillStyle": "hachure",
-			"strokeWidth": 1,
-			"strokeStyle": "solid",
-			"roughness": 1,
-			"opacity": 100,
-			"angle": 0,
-			"x": 138.65352994553638,
-			"y": -573.2052369064168,
-			"strokeColor": "#000000",
-			"backgroundColor": "transparent",
-			"width": 7.047607421875,
-			"height": 7.047607421875,
-			"seed": 290133248,
-			"groupIds": [
-				"h6mZSp6qhWtZkw8LF4EYQ",
-				"gDZ4lXM0eUhkAmZQ2hmmi"
-			],
-			"roundness": null,
-			"boundElements": [
-				{
-					"id": "sffXifLvJqJfBJBk5SdEK",
-					"type": "arrow"
-				}
-			],
-			"updated": 1657545264786,
-			"link": null,
-			"locked": false,
-			"customData": {
-				"legacyTextWrap": true
-			}
-		},
-		{
-			"type": "arrow",
-			"version": 995,
-			"versionNonce": 1768803577,
-			"isDeleted": false,
-			"id": "3H1YlktcKXc1cfTTITHA9",
-			"fillStyle": "hachure",
-			"strokeWidth": 1,
-			"strokeStyle": "solid",
-			"roughness": 1,
-			"opacity": 100,
-			"angle": 0,
-			"x": 112.63155728928638,
-			"y": -522.8331360763386,
-			"strokeColor": "#000000",
-			"backgroundColor": "transparent",
-			"width": 28.7041015625,
-			"height": 43.1588134765625,
-			"seed": 639497472,
-			"groupIds": [
-				"h6mZSp6qhWtZkw8LF4EYQ",
-				"gDZ4lXM0eUhkAmZQ2hmmi"
-			],
-			"roundness": {
-				"type": 2
-			},
-			"boundElements": [],
-			"updated": 1657545264786,
-			"link": null,
-			"locked": false,
-			"startBinding": {
-				"elementId": "pA70v3vqb51mAdaaz1w6T",
-				"focus": 0.6940055747561916,
-				"gap": 2.9621206652982495
-			},
-			"endBinding": {
-				"elementId": "zi2D04wqLw71GF25TaV0y",
-				"focus": -0.5619256178070863,
-				"gap": 4.326092134686121
-			},
-			"lastCommittedPoint": null,
-			"startArrowhead": null,
-			"endArrowhead": null,
-			"points": [
-				[
-					0,
-					0
-				],
-				[
-					-28.7041015625,
-					-43.1588134765625
-				]
-			]
-		},
-		{
-			"type": "arrow",
-			"version": 979,
-			"versionNonce": 115104535,
-			"isDeleted": false,
-			"id": "sffXifLvJqJfBJBk5SdEK",
-			"fillStyle": "hachure",
-			"strokeWidth": 1,
-			"strokeStyle": "solid",
-			"roughness": 1,
-			"opacity": 100,
-			"angle": 0,
-			"x": 119.77761441819263,
-			"y": -525.6359314864949,
-			"strokeColor": "#000000",
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-			"seed": 889822457,
-			"groupIds": [
-				"qH5-_JATLWmgwzWGaKCh-"
-			],
-			"roundness": null,
-			"boundElements": [
-				{
-					"id": "wVn-ZvtKZ2MJNb67Wwd02",
-					"type": "arrow"
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-			"updated": 1672541018027,
-			"link": null,
-			"locked": false,
-			"customData": {
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-			"fontSize": 20,
-			"fontFamily": 1,
-			"text": "1",
-			"rawText": "1",
-			"textAlign": "left",
-			"verticalAlign": "top",
-			"containerId": null,
-			"originalText": "1"
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-		{
-			"type": "arrow",
-			"version": 788,
-			"versionNonce": 311280814,
-			"isDeleted": false,
-			"id": "wVn-ZvtKZ2MJNb67Wwd02",
-			"fillStyle": "hachure",
-			"strokeWidth": 4,
-			"strokeStyle": "solid",
-			"roughness": 1,
-			"opacity": 40,
-			"angle": 0,
-			"x": -255.68799665135478,
-			"y": -614.6363683748139,
-			"strokeColor": "transparent",
-			"backgroundColor": "transparent",
-			"width": 769.0234375000002,
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-			"groupIds": [],
-			"roundness": null,
-			"boundElements": [],
-			"updated": 1678400898385,
-			"link": null,
-			"locked": true,
-			"customData": {
-				"slideshow": {
-					"originalProps": {
-						"strokeColor": "#c92a2a",
-						"backgroundColor": "transparent",
-						"locked": false
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-					"hidden": true
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-			"startBinding": {
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-				"focus": 0.4626863647944027,
-				"gap": 10.20800649575608
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-			"endBinding": null,
-			"lastCommittedPoint": null,
-			"startArrowhead": null,
-			"endArrowhead": "arrow",
-			"points": [
-				[
-					0,
-					0
-				],
-				[
-					89.49573863636365,
-					142.19460227272725
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-				[
-					116.09374999999997,
-					0.5610795454545041
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-					255.75639204545453,
-					140.80965909090912
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-				[
-					274.71590909090855,
-					-4.272017045455868
-				],
-				[
-					519.8579545454539,
-					150.96235795454407
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-				[
-					-2.027698863636374,
-					164.1299715909089
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-				[
-					441.44176136363615,
-					319.6626420454547
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-				[
-					-1.8536931818181301,
-					329.8970170454556
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-				[
-					766.9957386363639,
-					508.52272727272776
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-			]
-		}
-	],
-	"appState": {
-		"theme": "dark",
-		"viewBackgroundColor": "#ffffff",
-		"currentItemStrokeColor": "#c92a2a",
-		"currentItemBackgroundColor": "transparent",
-		"currentItemFillStyle": "hachure",
-		"currentItemStrokeWidth": 4,
-		"currentItemStrokeStyle": "solid",
-		"currentItemRoughness": 1,
-		"currentItemOpacity": 40,
-		"currentItemFontFamily": 1,
-		"currentItemFontSize": 20,
-		"currentItemTextAlign": "left",
-		"currentItemStartArrowhead": null,
-		"currentItemEndArrowhead": "arrow",
-		"scrollX": 257.5416898331729,
-		"scrollY": 436.02610978886673,
-		"zoom": {
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-		"currentItemRoundness": "sharp",
-		"gridSize": null,
-		"colorPalette": {},
-		"currentStrokeOptions": null,
-		"previousGridSize": null
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-	"files": {}
-}
+## Drawing
+```compressed-json
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 %%
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\ No newline at end of file
diff --git a/Excalidraw/nombre de régions avec n+1 cercles.excalidraw.md b/Excalidraw/nombre de régions avec n+1 cercles.excalidraw.md
index 4623f97f..330471ef 100644
--- a/Excalidraw/nombre de régions avec n+1 cercles.excalidraw.md	
+++ b/Excalidraw/nombre de régions avec n+1 cercles.excalidraw.md	
@@ -7,824 +7,92 @@ tags: [excalidraw]
 ==⚠  Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
 
 
-# Text Elements
+# Excalidraw Data
+
+## Text Elements
 %%
-# Drawing
-```json
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+## Drawing
+```compressed-json
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