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37 Commits

Author SHA1 Message Date
oskar ed4d0e40c2 MacBook-Pro-de-Oscar.local 2026-4-19:20:1:12 2026-04-19 20:01:14 +02:00
oskar 9a7c4c68c8 MacBook-Pro-de-Oscar.local 2026-4-19:18:40:43 2026-04-19 18:40:43 +02:00
oskar 957644c7e7 MacBook-Pro-de-Oscar.local 2026-4-19:11:36:1 2026-04-19 11:36:01 +02:00
oskar bdbeb211a5 device-89.home 2026-4-18:18:5:36 2026-04-18 18:05:37 +02:00
oskar f248b3aea3 device-89.home 2026-4-18:17:5:37 2026-04-18 17:05:37 +02:00
oskar 584e74eea1 device-89.home 2026-4-18:16:5:36 2026-04-18 16:05:36 +02:00
oskar a5e63eadb9 MacBookPro.lan 2026-4-18:2:44:43 2026-04-18 02:44:44 +02:00
oskar aa6942dd07 MacBookPro.lan 2026-4-17:19:44:35 2026-04-17 19:44:36 +02:00
oskar 684411fb7c MacBookPro.lan 2026-4-17:18:44:35 2026-04-17 18:44:35 +02:00
oskar 878f79f5c4 MacBookPro.lan 2026-4-17:17:44:34 2026-04-17 17:44:35 +02:00
oskar de58e1e56e MacBookPro.lan 2026-4-17:16:44:34 2026-04-17 16:44:34 +02:00
oskar 8f4d8164bc MacBookPro.lan 2026-4-17:15:44:34 2026-04-17 15:44:34 +02:00
oskar 769c65fdcd MacBookPro.lan 2026-4-17:14:44:34 2026-04-17 14:44:34 +02:00
oskar 25c6173cb8 MacBookPro.lan 2026-4-17:13:44:34 2026-04-17 13:44:34 +02:00
oskar 474a4a3a12 MacBookPro.lan 2026-4-17:4:44:26 2026-04-17 04:44:27 +02:00
oskar f2aaa00fa9 MacBookPro.lan 2026-4-17:3:44:25 2026-04-17 03:44:25 +02:00
oskar 1c7e844e9f MacBookPro.lan 2026-4-16:19:55:36 2026-04-16 19:55:36 +02:00
oskar 636281b174 MacBookPro.lan 2026-4-16:17:55:35 2026-04-16 17:55:36 +02:00
oskar 90537b3181 MacBookPro.lan 2026-4-16:16:55:34 2026-04-16 16:55:35 +02:00
oskar 654decd27f MacBookPro.lan 2026-4-16:15:55:33 2026-04-16 15:55:33 +02:00
oskar fac8887c32 MacBookPro.lan 2026-4-16:2:55:21 2026-04-16 02:55:21 +02:00
oskar 0c700153eb MacBookPro.lan 2026-4-16:1:55:21 2026-04-16 01:55:21 +02:00
oskar 7688bdc9c8 MacBookPro.lan 2026-4-14:20:11:7 2026-04-14 20:11:08 +02:00
oskar a5f8cde4ad MacBookPro.lan 2026-4-14:17:1:22 2026-04-14 17:01:23 +02:00
oskar 2d908c75e3 MacBookPro.lan 2026-4-14:15:37:51 2026-04-14 15:37:51 +02:00
oskar 35ea344131 MacBookPro.lan 2026-4-14:14:37:51 2026-04-14 14:37:52 +02:00
oskar c13fb819e1 MacBookPro.lan 2026-4-14:2:8:18 2026-04-14 02:08:19 +02:00
oskar 8573e8c523 MacBookPro.lan 2026-4-14:1:8:18 2026-04-14 01:08:19 +02:00
oskar 747fe85e65 MacBookPro.lan 2026-4-14:0:8:17 2026-04-14 00:08:17 +02:00
oskar 16017e9cfd MacBookPro.lan 2026-4-13:22:8:16 2026-04-13 22:08:17 +02:00
oskar 4663a35885 MacBookPro.lan 2026-4-13:21:8:15 2026-04-13 21:08:16 +02:00
oskar ae109198ac MacBookPro.lan 2026-4-13:19:24:6 2026-04-13 19:24:07 +02:00
oskar 196e9b4c3e MacBookPro.lan 2026-4-13:17:24:5 2026-04-13 17:24:05 +02:00
oskar 7df02cf8e7 MacBookPro.lan 2026-4-13:16:24:5 2026-04-13 16:24:06 +02:00
oskar 8a16e6a4f7 MacBookPro.lan 2026-4-12:22:8:38 2026-04-12 22:08:38 +02:00
oskar 49ea2fe0f4 MacBookPro.lan 2026-4-12:21:8:38 2026-04-12 21:08:38 +02:00
oskar 76f2eec32b MacBookPro.lan 2026-4-12:20:8:38 2026-04-12 20:08:38 +02:00
70 changed files with 17161 additions and 2145 deletions
+2 -1
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@@ -4,7 +4,8 @@
imap jk <Esc>la
imap kj <Esc>i
nmap <C-n> }
"nmap <C-n> }
nmap <C-n> :e<CR>
nmap <C-p> {
" these break some behaviors like dj
+9 -7
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@@ -1,7 +1,7 @@
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@@ -20,7 +20,6 @@
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"omts-Day Planner (Ivan Lednev)",
"omts-[ui] Compact Sidebar",
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@@ -32,14 +31,17 @@
"stacked_tabs",
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"general_interface",
"checkboxes",
"headers",
"omts-[editor] Compact Right Sidebar notes",
"omts-Excalidraw - Compact",
"popup_preview_size",
"dark_pdf",
"breadcrumbs"
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"textFontFamily": "CMU Sans Serif,CMU Serif,FiraCode Nerd Font",
+4 -1
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@@ -37,5 +37,8 @@
"note-aliases",
"share-note",
"templater-obsidian",
"link-tree"
"link-tree",
"obsidian-sequence-hotkeys",
"notebook-navigator",
"obsidian-pandoc"
]
+30 -6
View File
@@ -26,7 +26,7 @@
"label": "wrote"
},
{
"label": "excerpt_of"
"label": "part"
}
],
"edge_field_groups": [
@@ -43,7 +43,7 @@
"fields": [
"down",
"wrote",
"excerpt_of"
"part"
]
},
{
@@ -121,6 +121,28 @@
],
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"close_reversed": true
},
{
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"chain": [
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"field": "wrote"
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"rounds": 10,
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"close_field": "author"
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"chain": [
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"close_field": "wrote"
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@@ -160,12 +182,12 @@
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"ups"
@@ -225,7 +247,7 @@
"show_attributes": [],
"merge_fields": false,
"lock_view": false,
"lock_path": "Baruch de Spinoza.md",
"lock_path": "désintégration audioactive.md",
"field_group_labels": [
"downs"
],
@@ -277,7 +299,9 @@
"freeze_implied_edges": {
"default_options": {
"destination": "frontmatter",
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"included_fields": [
"ups"
],
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},
+12 -10
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+12 -1
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@@ -1 +1,12 @@
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"version": "4.4.4",
"minAppVersion": "1.0.0",
"description": "Add structured hierarchies to your notes",
"author": "SkepticMystic",
"authorUrl": "https://github.com/SkepticMystic/breadcrumbs",
"fundingUrl": "https://github.com/SkepticMystic/breadcrumbs#donations",
"helpUrl": "https://publish.obsidian.md/breadcrumbs-docs",
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+1 -1
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+9 -9
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@@ -1,11 +1,11 @@
{
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"description": "Customize your workspace by adding commands everywhere, create Macros and supercharge your mobile toolbar.",
"author": "jsmorabito & phibr0",
"authorUrl": "https://github.com/phibr0",
"fundingUrl": "https://ko-fi.com/phibr0",
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"id": "cmdr",
"name": "Commander",
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"description": "Customize your workspace by adding commands everywhere, create Macros and supercharge your mobile toolbar.",
"author": "jsmorabito & phibr0",
"authorUrl": "https://github.com/phibr0",
"fundingUrl": "https://ko-fi.com/phibr0",
"isDesktopOnly": false
}
+1 -1
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+1 -1
View File
@@ -1,7 +1,7 @@
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"description": "The Obsidian Editing Toolbar is modified from cmenu, which provides more powerful customization settings and has many built-in editing commands to be a MS Word-like toolbar editing experience.",
"author": "Cuman",
File diff suppressed because it is too large Load Diff
+1 -1
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@@ -16,7 +16,7 @@
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+539
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"daily",
"env",
"Excalidraw",
"exports",
"gists",
"informatique",
"kanban",
"media",
"quickadd_scripts",
"templates"
],
"rootTagOrder": [
"__untagged__",
"s",
"t",
"task",
"zotero",
"excalidraw",
"flashcards",
"not-done",
"dataview-test",
"devoir-fait",
"howto",
"micrometa",
"obsidan_export",
"pocket"
],
"rootPropertyOrder": []
}
File diff suppressed because one or more lines are too long
+11
View File
@@ -0,0 +1,11 @@
{
"id": "notebook-navigator",
"name": "Notebook Navigator",
"version": "2.5.7",
"minAppVersion": "1.8.7",
"description": "Replace the default file explorer with a clean two-pane interface featuring folder tree, tag browsing, file previews, keyboard navigation, drag-and-drop, pinned notes, and customizable display options.",
"author": "Johan Sanneblad",
"authorUrl": "https://github.com/johansan",
"fundingUrl": "https://github.com/sponsors/johansan/",
"isDesktopOnly": false
}
File diff suppressed because it is too large Load Diff
File diff suppressed because one or more lines are too long
+1 -1
View File
@@ -1,7 +1,7 @@
{
"id": "obsidian-asciimath",
"name": "asciimath",
"version": "0.8.1",
"version": "0.8.2",
"minAppVersion": "0.15.0",
"description": "Add asciimath support for Obsidian.",
"author": "widcardw",
File diff suppressed because one or more lines are too long
+2 -2
View File
@@ -113,7 +113,7 @@
"library2": {
"type": "excalidrawlib",
"version": 2,
"source": "https://github.com/zsviczian/obsidian-excalidraw-plugin/releases/tag/2.21.2",
"source": "https://github.com/zsviczian/obsidian-excalidraw-plugin/releases/tag/2.22.0",
"libraryItems": []
},
"imageElementNotice": true,
@@ -149,7 +149,7 @@
}
}
},
"previousRelease": "2.21.2",
"previousRelease": "2.22.0",
"showReleaseNotes": true,
"compareManifestToPluginVersion": true,
"showNewVersionNotification": true,
File diff suppressed because one or more lines are too long
+1 -1
View File
@@ -1,7 +1,7 @@
{
"id": "obsidian-excalidraw-plugin",
"name": "Excalidraw",
"version": "2.21.2",
"version": "2.22.0",
"minAppVersion": "1.5.7",
"description": "Sketch Your Mind. An Obsidian plugin to edit and view Excalidraw drawings. Enter the world of 4D Visual PKM.",
"author": "Zsolt Viczian",
File diff suppressed because one or more lines are too long
+254 -254
View File
File diff suppressed because one or more lines are too long
+1 -1
View File
@@ -6,5 +6,5 @@
"description": "Integrate Git version control with automatic backup and other advanced features.",
"isDesktopOnly": false,
"fundingUrl": "https://ko-fi.com/vinzent",
"version": "2.38.0"
"version": "2.38.1"
}
File diff suppressed because one or more lines are too long
+1 -1
View File
@@ -1,7 +1,7 @@
{
"id": "obsidian-latex-suite",
"name": "Latex Suite",
"version": "1.11.0",
"version": "1.11.3",
"minAppVersion": "1.0.0",
"description": "Make typesetting LaTeX math as fast as handwriting through snippets, text expansion, and editor enhancements",
"author": "artisticat",
File diff suppressed because one or more lines are too long
+1 -1
View File
@@ -1,7 +1,7 @@
{
"id": "obsidian-markmind",
"name": "Markmind",
"version": "3.4.6",
"version": "3.4.7",
"minAppVersion": "0.9.12",
"description": "This is a mindmap , outline tool for obsidian.",
"author": "Mark",
+10 -1
View File
@@ -3794,7 +3794,7 @@ span.mm-sline .line {
display: flex;
justify-content: center;
align-items: center;
margin-right:4px;
margin-right: 4px;
cursor: pointer;
border-radius: 5px;
background-color: #333;
@@ -3814,4 +3814,13 @@ span.mm-sline .line {
.theme-light .cm-mindmap-mobile div svg {
fill: #333;
}
.mm-node-size .mm-node-edit {
max-width: none !important;
}
.mm-node-size .mm-node-icon {
display: flex;
}
+1 -1
View File
@@ -8,7 +8,7 @@
"lineWidth": 40,
"lineWidthWide": 50,
"maxWidth": 98,
"textNormal": 25.5,
"textNormal": 26,
"textSmall": 18,
"imgGrid": false,
"imgWidth": "img-default-width",
+1 -1
View File
@@ -5,7 +5,7 @@
{
"id": 1,
"name": "Ma bibliothèque",
"lastUpdate": 1775656727556
"lastUpdate": 1776186666489
}
],
"renderCitations": true,
+189
View File
@@ -41,6 +41,195 @@
"C-KeyN",
"KeyQ"
]
},
{
"command": "workspace:split-horizontal",
"chords": [
"C-KeyZ",
"KeyS"
]
},
{
"command": "workspace:split-vertical",
"chords": [
"C-KeyZ",
"KeyV"
]
},
{
"command": "editor:focus-top",
"chords": [
"C-KeyZ",
"C-KeyK"
]
},
{
"command": "editor:focus-top",
"chords": [
"C-KeyZ",
"KeyK"
]
},
{
"command": "editor:focus-bottom",
"chords": [
"C-KeyZ",
"C-KeyJ"
]
},
{
"command": "editor:focus-bottom",
"chords": [
"C-KeyZ",
"KeyJ"
]
},
{
"command": "editor:focus-left",
"chords": [
"C-KeyZ",
"KeyH"
]
},
{
"command": "editor:focus-right",
"chords": [
"C-KeyZ",
"C-KeyL"
]
},
{
"command": "editor:focus-right",
"chords": [
"C-KeyZ",
"KeyL"
]
},
{
"command": "workspace:next-tab",
"chords": [
"C-KeyB",
"ArrowRight"
]
},
{
"command": "workspace:previous-tab",
"chords": [
"C-KeyB",
"ArrowLeft"
]
},
{
"command": "workspace:goto-tab-1",
"chords": [
"C-KeyB",
"Numpad1"
]
},
{
"command": "workspace:goto-tab-1",
"chords": [
"C-KeyB",
"S-Digit1"
]
},
{
"command": "workspace:goto-tab-2",
"chords": [
"C-KeyB",
"Numpad2"
]
},
{
"command": "workspace:goto-tab-2",
"chords": [
"C-KeyB",
"S-Digit2"
]
},
{
"command": "workspace:goto-tab-3",
"chords": [
"C-KeyB",
"Numpad3"
]
},
{
"command": "workspace:goto-tab-3",
"chords": [
"C-KeyB",
"S-Digit3"
]
},
{
"command": "workspace:goto-tab-4",
"chords": [
"C-KeyB",
"Numpad4"
]
},
{
"command": "workspace:goto-tab-4",
"chords": [
"C-KeyB",
"S-Digit4"
]
},
{
"command": "workspace:goto-tab-5",
"chords": [
"C-KeyB",
"Numpad5"
]
},
{
"command": "workspace:goto-tab-5",
"chords": [
"C-KeyB",
"S-Digit5"
]
},
{
"command": "workspace:goto-tab-6",
"chords": [
"C-KeyB",
"Numpad6"
]
},
{
"command": "workspace:goto-tab-6",
"chords": [
"C-KeyB",
"S-Digit6"
]
},
{
"command": "workspace:goto-tab-7",
"chords": [
"C-KeyB",
"Numpad7"
]
},
{
"command": "workspace:goto-tab-7",
"chords": [
"C-KeyB",
"S-Digit7"
]
},
{
"command": "workspace:goto-tab-8",
"chords": [
"C-KeyB",
"Numpad8"
]
},
{
"command": "workspace:goto-tab-8",
"chords": [
"C-KeyB",
"S-Digit8"
]
}
]
}
+1 -1
View File
@@ -55,7 +55,7 @@
},
{
"name": "bullet point",
"template": " - <span style='display: inline-block; vertical-align: baseline; padding: 0.6ex; height: 0px; margin-bottom: -2pt; border: 2pt solid var(--text-normal); background: {{ ({\"yellow\": \"#F9CF04\", \"red\": \"#EA5151\", \"note\": \"#2F6DDE\", \"important\": \"#BA60E5\", \"\": \"transparent\"})[color.toString()]}}; border-radius: 100%'></span> {{display}} {{linkWithDisplay}}"
"template": " - \" <span style='display: inline-block; vertical-align: baseline; padding: 0.6ex; height: 0px; margin-bottom: -2pt; border: 2pt solid var(--text-normal); background: {{ ({\"yellow\": \"#F9CF04\", \"red\": \"#EA5151\", \"note\": \"#2F6DDE\", \"important\": \"#BA60E5\", \"\": \"transparent\"})[color.toString()]}}; border-radius: 100%'></span> {{text}} {{linkWithDisplay}}"
}
],
"useAnotherCopyTemplateWhenNoSelection": false,
File diff suppressed because one or more lines are too long
+2 -2
View File
@@ -1,9 +1,9 @@
{
"id": "templater-obsidian",
"name": "Templater",
"version": "2.18.1",
"version": "2.19.0",
"description": "Create and use templates",
"minAppVersion": "1.5.0",
"minAppVersion": "1.12.2",
"author": "SilentVoid",
"authorUrl": "https://github.com/SilentVoid13",
"helpUrl": "https://silentvoid13.github.io/Templater/",
+83 -14
View File
@@ -1059,6 +1059,29 @@ var AppHelper = class {
}
return !!((_c = (_b = cm5or6 == null ? void 0 : cm5or6.display) == null ? void 0 : _b.input) == null ? void 0 : _c.composing);
}
/**
* Unsafe method
*/
getVisibleLineRange() {
var _a;
const markdownView = this.unsafeApp.workspace.getActiveViewOfType(import_obsidian.MarkdownView);
if (!markdownView) {
return null;
}
const cm = markdownView.editor.cm;
if (!(cm == null ? void 0 : cm.visibleRanges) || !((_a = cm == null ? void 0 : cm.state) == null ? void 0 : _a.doc)) {
return null;
}
const visibleRanges = cm.visibleRanges;
if (visibleRanges.length === 0) {
return null;
}
const first = visibleRanges[0];
const last = visibleRanges[visibleRanges.length - 1];
const fromLine = cm.state.doc.lineAt(first.from).number - 1;
const toLine = cm.state.doc.lineAt(last.to).number - 1;
return { from: fromLine, to: toLine };
}
isMobile() {
return this.unsafeApp.isMobile;
}
@@ -7245,6 +7268,7 @@ var AutoCompleteSuggest = class _AutoCompleteSuggest extends import_obsidian7.Ed
this.previousLinksCacheInActiveFile = /* @__PURE__ */ new Set();
this.keymapEventHandler = [];
this.spareEditorSuggestContext = null;
this.predictableCycleState = null;
this.appHelper = new AppHelper(app);
this.statusBar = statusBar;
}
@@ -7310,6 +7334,7 @@ var AutoCompleteSuggest = class _AutoCompleteSuggest extends import_obsidian7.Ed
ins.activeLeafChangeRef = app.workspace.on(
"active-leaf-change",
async (_) => {
ins.predictableCycleState = null;
await ins.refreshCurrentFileTokens();
ins.refreshInternalLinkTokens();
ins.updateFrontMatterToken();
@@ -7345,32 +7370,76 @@ var AutoCompleteSuggest = class _AutoCompleteSuggest extends import_obsidian7.Ed
return;
}
const cursor = editor.getCursor();
if (this.predictableCycleState) {
const state = this.predictableCycleState;
const currentCandidate = state.candidates[state.currentIndex];
const expectedCh = state.replacementStartCh + currentCandidate.length;
if (cursor.line === state.line && cursor.ch === expectedCh) {
state.currentIndex = (state.currentIndex + 1) % state.candidates.length;
const nextCandidate = state.candidates[state.currentIndex];
editor.replaceRange(
nextCandidate,
{ line: state.line, ch: state.replacementStartCh },
cursor
);
this.close();
this.debounceClose();
return;
}
this.predictableCycleState = null;
}
const currentToken = this.tokenizer.tokenize(editor.getLine(cursor.line).slice(0, cursor.ch)).last();
if (!currentToken) {
return;
}
let suggestion = this.tokenizer.tokenize(
editor.getRange({ line: Math.max(cursor.line - 50, 0), ch: 0 }, cursor)
).reverse().slice(1).find((x) => x.startsWith(currentToken));
if (!suggestion) {
suggestion = this.tokenizer.tokenize(
editor.getRange(cursor, {
line: Math.min(cursor.line + 50, editor.lineCount() - 1),
ch: 0
})
).find((x) => x.startsWith(currentToken));
}
if (!suggestion) {
const candidates = this.collectPredictableCandidates(
editor,
cursor,
currentToken
);
if (candidates.length <= 1) {
return;
}
const replacementStartCh = cursor.ch - currentToken.length;
this.predictableCycleState = {
originalToken: currentToken,
replacementStartCh,
line: cursor.line,
candidates,
currentIndex: 0
};
const suggestion = candidates[0];
editor.replaceRange(
suggestion,
{ line: cursor.line, ch: cursor.ch - currentToken.length },
{ line: cursor.line, ch: cursor.ch }
{ line: cursor.line, ch: replacementStartCh },
cursor
);
this.close();
this.debounceClose();
}
collectPredictableCandidates(editor, cursor, originalToken) {
var _a, _b;
const seen = /* @__PURE__ */ new Set();
const candidates = [];
const addIfNew = (token) => {
if (token.startsWith(originalToken) && token !== originalToken && !seen.has(token)) {
seen.add(token);
candidates.push(token);
}
};
const visibleRange = this.appHelper.getVisibleLineRange();
const rangeStart = (_a = visibleRange == null ? void 0 : visibleRange.from) != null ? _a : Math.max(cursor.line - 50, 0);
const rangeEnd = (_b = visibleRange == null ? void 0 : visibleRange.to) != null ? _b : Math.min(cursor.line + 50, editor.lineCount() - 1);
const textAbove = editor.getRange({ line: rangeStart, ch: 0 }, cursor);
this.tokenizer.tokenize(textAbove).reverse().slice(1).forEach(addIfNew);
const textBelow = editor.getRange(cursor, {
line: rangeEnd,
ch: editor.getLine(rangeEnd).length
});
this.tokenizer.tokenize(textBelow).forEach(addIfNew);
candidates.push(originalToken);
return candidates;
}
unregister() {
this.app.vault.offref(this.modifyEventRef);
this.app.workspace.offref(this.activeLeafChangeRef);
+1 -1
View File
@@ -1,7 +1,7 @@
{
"id": "various-complements",
"name": "Various Complements",
"version": "11.0.0",
"version": "11.1.0",
"minAppVersion": "1.11.4",
"description": "This plugin enables you to complete words like the auto-completion of IDE",
"author": "tadashi-aikawa",
+8
View File
@@ -0,0 +1,8 @@
.workspace-leaf-content[data-type="link-tree"] #link-tree {
/* color: red; */
font-size: var(--font-adaptive-small);
}
+9
View File
@@ -0,0 +1,9 @@
@media print {
.markdown-preview-view {
/* font-family: georgia, serif !important; */
font-family: "CMU Serif", serif;
}
}
+2 -1
View File
@@ -99,6 +99,7 @@
"sport": "checkbox",
"date-birth": "date",
"date-death": "date",
"excerpt_of": "multitext"
"excerpt_of": "multitext",
"part": "multitext"
}
}
@@ -0,0 +1,154 @@
---
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
le tableau de variations est évident étant donné le problème considéré.
On pourra toujours montrer que cet unique extrémum est bien un maximum à partir du fait que 𝑎 ∈ [0; π/2] ^OnHRRJcd
## Embedded Files
8923efd922b888d467179262d7b788641d043cc7: $$l$$
b3d5701da7f512bb6c2cfeefa687ef9448961a27: $$L$$
a745f1dc9892805697eb7dc6df5134ce60d3e778: $$\alpha$$
b76ee720d7e0bdf63f408ee39db94f3d31ca9f0e: $$r$$
13099823a77cd5a2252736e0f029c959c6ee8e2c: $$=\begin{pmatrix}l\\L\end{pmatrix}$$
e8b51e7e123fde3009046ff7524c05292519716e: $$=\begin{pmatrix}r \cos \alpha\\ r \sin \alpha\end{pmatrix}$$
2eb73fd7a8bd07b84080b3bb149f4819930587be: $$= \begin{pmatrix}l + r \cos \alpha\\ L + r \sin \alpha\end{pmatrix}$$
4dd7657e8aff3434304e0c34035d8f6e3e9c7c5d: $$\text{donc :}$$
ce7a3ec53f89ae18583ec0042233662e411ba23b: $$\begin{align} \left\| \begin{pmatrix}l+r\cos \alpha\\L+r \sin \alpha\end{pmatrix} \right\| &= l^{2}+2lr\cos\alpha + r^{2}\cos ^{2}\alpha + L^{2} + 2Lr\sin\alpha + r^{2}\sin ^{2}\alpha \\&= (l^{2}+L^{2}+r^{2}) + 2r(l\cos\alpha+L\sin\alpha)\end{align}$$
16647f064fb7a498cb3e96cfa483672e387b3557: $$\text{on veut donc maximiser } f: f(\alpha) = l\cos\alpha+L\sin\alpha$$
c07e13d38824e5b0021dd5fdfadb2c55ad79c69a: $$f'(\alpha) = -l\sin\alpha + L\cos\alpha$$
fafa660ca9b7e22e4de89da24218f9436103d840: $$\begin{align} f'(\alpha) = 0 &\iff L \cos \alpha = l \sin \alpha \\&\iff \frac{L}{l} \frac{\cos \alpha}{\sin\alpha} = 1 \\&\iff \tan \alpha = \frac{l}{L} \\&\iff \boxed {\alpha = \arctan \frac{l}{L}} \end{align}$$
%%
## Drawing
```compressed-json
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TT/IDIaBdqCigIAGOHqBTHjB7h9ARoNZrA1i3/aILUF7BLBfSCAWTyYis0+nkUGQWLdMFuC7Vzu7BSpOBF6C1kAwvwWApEOlk4RaotwWELm4lLR4QovoW4LPQGHbXnYtEX0gv7Z08bXouUX3FxFh3e2YgNdmCgvFxi+kENlZAADB54or+bQt8X9AajUc/XoHMqWGLol9IM+d4wqb0AgmVC7peovnhpe97YGrowkw6WRL1F+pH0GM0oJTL9l4i4rC
4vug28/S5kPqEOjRUA5tmEiMuA0h6oaW0l5gCk31AaYZyAcj9FZBUjLdNCEAIwGwCNlHyGABAF3bSE+iB9NImYmS3pf0BcXJEoRBkPllIB85fz0oEgIpeAPSWarxAI0AgGEm3IqVJAbemwC3QWXYT8Ldq3HIyslQuQc8UgMoHFA0yfgdtC2FNcmvUAYsj0VmRaCcPKB8wEmWZGNdwATXOIc12jjte2vzWRgi1gXIVeYtsgBLxZyrcjoQBOHiwgA4
Mvqql69XBocZ5JhwUPPHmKQ0rD87GaPPedhAUAdyj9Y+slAdM35pgLOGuzvXvOoNtkKQB6v0Hnrv1463YAPimbmABoaVnAE6vdXpWCNoRpSHmSEBGAfQNKxjQytbrsiwQQmwtGqUkSnLJ6Qfi3MzAGADQaQam0VwUZE5GQLQQm8TdJtsnfzjgZgL1c5CIHz829TIEIHxuh7pKIyQIN/k1DjYMAuN4IORdlSVJ4bqtqG7+dlTb0SAeLDG7gEfNNRN
b5sF600UwCs2qbxZ7G9zF11RAiwiBa1MkvCD6wmwIAJsEAA=
```
%%
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id: Gilles deleuze, cours sur Spinoza
aliases: []
tags:
- #t/source
-
author:
- "[[Gilles Deleuze]]"
date-seen: "2025-05-26"
date-seen: 2025-05-26
up:
- "[[philosophie.spinoza]]"
- "[[éthique de spinoza]]"
---
```breadcrumbs
@@ -1,12 +0,0 @@
author:: [[Baruch de Spinoza]]
source::
link::
date-seen::2024-05-15
#t/citation #s/philosophie
> [!cite] Titre
> Il n'y a pas de force intrinsèque des idées vraies.
^cite
## Interprétation
- [[Pierre Bourdieu]] en à dit que c'était la phrase la plus triste de toute la philosophie
+6 -7
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@@ -1,13 +1,11 @@
---
id: philosophie.spinoza
aliases: []
tags:
- s/philosophie
author:
- "[[Baruch de Spinoza|Spinoza]]"
up:
- "[[philosophie]]"
tags:
- "#t/personne"
aliases:
link: ""
---
```breadcrumbs
title: "Sous-notes"
type: tree
@@ -16,3 +14,4 @@ show-attributes: [field]
field-groups: [downs]
depth: [0, 0]
```
@@ -0,0 +1,20 @@
---
author: "[[Baruch de Spinoza]]"
source:
- "[[éthique de spinoza]]"
link:
date-seen: 2024-05-15
tags:
- "#t/citation"
- "#s/philosophie"
alias:
- Il n'y a pas de force intrinsèque des idées vraies
---
> [!cite] (_Ethique_ IV, 1).
> _Rien de ce quune idée fausse a de positif nest supprimé par la présence du vrai en tant que vrai._ 
^cite
## Interprétation
- résumé par "il n'y a pas de force intrinsèque des idées vraies"
- [[Pierre Bourdieu]] en à dit que c'était la phrase la plus triste de toute la philosophie
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-1
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---
BC-list-note-field: down
up: "[[cours L3]]"
tags: "#s/maths/topologie"
---
+147 -12
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@@ -28,12 +28,12 @@ header-auto-numbering:
- On note aussi $L \longrightarrow L' \longrightarrow L'' \longrightarrow \cdots$ pour $L \longrightarrow L'$ et $L' \longrightarrow L''$ et $L'' \longrightarrow \cdots$
- $L_{n}$ 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 $L \overset{n}{\to} L_{n}$
- 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 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 $1^{2}1^{3}$)
- 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)
- $X$ désigne un chiffre arbitraire (non nul)
- = $X^{0}a^{\alpha}b^{\beta}c^{\gamma}$ correspond à $[a^{\alpha}b^{\beta}c^{\gamma}$
- = $a^{\alpha}b^{\beta}c^{\gamma}X^{0}$ correspond à $a^{\alpha}b^{\beta}c^{\gamma}]$
@@ -45,6 +45,14 @@ header-auto-numbering:
- = $n^{n}] \overset{(n\neq 2)}{\longrightarrow} n^{\neq n}] \to n'$
- On utilisera des analogies temporelles pour désigner le nombre de dérivations :
- "après 1 jour" pour "après une dérivation"
- "chaine âgée d'au moins 2 jour" pour "chaine issue de 2 dérivations successives"
- "après un certain temps" pour "après un certain nombre de dérivations"
- On notera $E_{n}$ l'élément de numéro $n$ (voir le [[désintégration audioactive#^liste-elements|tableau des éléments]])
# Propriétés
> [!proposition]+ conséquence du regroupement
@@ -75,7 +83,7 @@ header-auto-numbering:
## Théorèmes préliminaires
> [!proposition]+ Théorème du jour 1 [[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=185&rect=12,336,372,470|p.185]]
> [!proposition]+ Théorème du jour 1
> Les morceaux de type :
> 1. $,ax,bx,$
> 2. $x^{\geq 4}$
@@ -100,7 +108,7 @@ header-auto-numbering:
> > Cela montre bien qu'aucune de ces formes ne peut exister après dérivation.
^thm-jour-1
> [!proposition]+ Théorème du jour 2 [[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=185&rect=12,225,373,331|p.185]]
> [!proposition]+ Théorème du jour 2
> - Aucun chiffre $\geq 4$ ne peut apparaître au jour 2 ou ensuite (sauf conservation d'un chiffre qui était déjà présent).
> - Un morceau $3 X 3$ (en particulier $3^{3}$) ne peut pas apparaître dans aucune chaîne âgée d'au moins 2 jours.
>
@@ -111,7 +119,7 @@ header-auto-numbering:
> > On doit donc nécessairement parser $3X 3$ comme $,3x,3y,$. Pour obtenir $,3x,3y,$, on doit avoir obtenu $x^{3}y^{3}$ au jour précédent, ce qui est impossible dès le jour 1 (par le [[désintégration audioactive#^thm-jour-1|Théorème du jour 1]]). Cela montre bien que $3X 3$ est impossible dès le jour 2.
^thm-jour-2
> [!proposition]+ Théorème du début [[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=185&rect=11,33,374,186|p.185]]
> [!proposition]+ Théorème du début
> Soit $R$ un morceau d'une chaîne âgée de 2 jours ou plus.
> Le début de ses descendants finira toujours par se constituer en l'un des cycles suivants :
> - $\overparen{[ \; ]} \longrightarrow [\;] \longrightarrow [\;] \longrightarrow \cdots$
@@ -313,21 +321,148 @@ header-auto-numbering:
Avant de continuer, il est nécessaire de poser une liste particulières de 92 atomes.
On a défini plus tôt ce qu'était un [[désintégration audioactive#^def-atome|atome]].
On peut alors décrire 92 atomes. Il est trivial de montrer que chacune de ces 92 chaînes est bien un atome (à l'aide du [[désintégration audioactive#^theoreme-de-decoupage|théorème de découpage]]).
Par analogie avec le tableau périodique des éléments
## Théorèmes
Conway leur donne des noms d'éléments (de l'hydrogène à l'uranium, ce qui fait bien 92 éléments).
> [!info]+ Liste des éléments
> | $n$ | nom | éléments dans la dérivée | chaîne | dérivée |
> | ------- | --- | ---------------- | ------------------------------------------ | ---------------------------------------------------- |
> | 1 | H | H (stable) | 22 | 22 |
> | 2 | He | Hf Pa H Ca Li | 13112221133211322112211213322112 | 11132132212312211322212221121123222112 |
> | 3 | Li | He | 312211322212221121123222112 | 13112221133211322112211213322112 |
> | 4 | Be | Ge Ca Li | 111312211312113221133211322112211213322112 | 3113112221131112211322212312211322212221121123222112 |
> | 5 | B | Be | 1321132122211322212221121123222112 | 111312211312113221133211322112211213322112 |
> | 6 | C | B | 3113112211322112211213322112 | 1321132122211322212221121123222112 |
> | 7 | N | C | 111312212221121123222112 | 3113112211322112211213322112 |
> | 8 | O | N | 132112211213322112 | 111312212221121123222112 |
> | 9 | F | O | 31121123222112 | 132112211213322112 |
> | 10 | Ne | F | 111213322112 | 31121123222112 |
> | 11 | Na | Ne | 123222112 | 111213322112 |
> | 12 | Mg | Pm Na | 3113322112 | 132123222112 |
> | 13 | Al | Mg | 1113222112 | 3113322112 |
> | 14 | Si | Al | 1322112 | 1113222112 |
> | 15 | P | Ho Si | 311311222112 | 13211321322112 |
> | 16 | S | P | 1113122112 | 311311222112 |
> | 17 | Cl | S | 132112 | 1113122112 |
> | 18 | Ar | Cl | 3112 | 132112 |
> | 19 | K | Ar | 1112 | 3112 |
> | 20 | Ca | K | 12 | 1112 |
> | 21 | Sc | Ho Pa H Ca Co | 3113112221133112 | 132113213221232112 |
> | 22 | Ti | Sc | 11131221131112 | 3113112221133112 |
> | 23 | V | Ti | 13211312 | 11131221131112 |
> | 24 | Cr | V | 31132 | 13211312 |
> | 25 | Mn | Cr Si | 111311222112 | 311321322112 |
> | 26 | Fe | Mn | 13122112 | 111311222112 |
> | 27 | Co | Fe | 32112 | 13122112 |
> | 28 | Ni | Zn Co | 11133112 | 31232112 |
> | 29 | Cu | Ni | 131112 | 11133112 |
> | 30 | Zn | Cu | 312 | 131112 |
> | 31 | Ga | Eu Ca Ac H Ca Zn | 13221133122211332 | 11132221231132212312 |
> | 32 | Ge | Ho Ga | 31131122211311122113222 | 132113213221133122211332 |
> | 33 | As | Ge Na | 11131221131211322113322112 | 31131122211311122113222123222112 |
> | 34 | Se | As | 13211321222113222112 | 11131221131211322113322112 |
> | 35 | Br | Se | 3113112211322112 | 13211321222113222112 |
> | 36 | Kr | Br | 11131221222112 | 3113112211322112 |
> | 37 | Rb | Kr | 1321122112 | 11131221222112 |
> | 38 | Sr | Rb | 3112112 | 1321122112 |
> | 39 | Y | Sr U | 1112133 | 31121123 |
> | 40 | Zr | Y H Ca Tc | 12322211331222113112211 | 11121332212311322113212221 |
> | 41 | Nb | Er Zr | 1113122113322113111221131221 | 31131122212322211331222113112211 |
> | 42 | Mo | Nb | 13211322211312113211 | 1113122113322113111221131221 |
> | 43 | Tc | Mo | 311322113212221 | 13211322211312113211 |
> | 44 | Ru | Eu Ca Tc | 132211331222113112211 | 111322212311322113212221 |
> | 45 | Rh | Ho Ru | 311311222113111221131221 | 1321132132211331222113112211 |
> | 46 | Pd | Rh | 111312211312113211 | 311311222113111221131221 |
> | 47 | Ag | Pd | 132113212221 | 111312211312113211 |
> | 48 | Cd | Ag | 3113112211 | 132113212221 |
> | 49 | In | Cd | 11131221 | 3113112211 |
> | 50 | Sn | In | 13211 | 11131221 |
> | 51 | Sb | Pm Sn | 3112221 | 13213211 |
> | 52 | Te | Eu Ca Sb | 1322113312211 | 1113222123112221 |
> | 53 | I | Ho Te | 311311222113111221 | 13211321322113312211 |
> | 54 | Xe | I | 11131221131211 | 311311222113111221 |
> | 55 | Cs | Xe | 13211321 | 11131221131211 |
> | 56 | Ba | Cs | 311311 | 13211321 |
> | 57 | La | Ba | 11131 | 311311 |
> | 58 | Ce | La H Ca Co | 1321133112 | 11131221232112 |
> | 59 | Pr | Ce | 31131112 | 1321133112 |
> | 60 | Nd | Pr | 111312 | 31131112 |
> | 61 | Pm | Nd | 132 | 111312 |
> | 62 | Sm | Pm Ca Zn | 311332 | 13212312 |
> | 63 | Eu | Sm | 1113222 | 311332 |
> | 64 | Gd | Eu Ca Co | 13221133112 | 11132221232112 |
> | 65 | Tb | Ho Gd | 3113112221131112 | 132113213221133112 |
> | 66 | Dy | Tb | 111312211312 | 3113112221131112 |
> | 67 | Ho | Dy | 1321132 | 111312211312 |
> | 68 | Er | Ho Pm | 311311222 | 1321132132 |
> | 69 | Tm | Er Ca Co | 11131221133112 | 3113112221232112 |
> | 70 | Yb | Tm | 1321131112 | 11131221133112 |
> | 71 | Lu | Yb | 311312 | 1321131112 |
> | 72 | Hf | Lu | 11132 | 311312 |
> | 73 | Ta | Hf Pa H Ca W | 13112221133211322112211213322113 | 11132132212312211322212221121123222113 |
> | 74 | W | Ta | 312211322212221121123222113 | 13112221133211322112211213322113 |
> | 75 | Re | Ge Ca W | 111312211312113221133211322112211213322113 | 3113112221131112211322212312211322212221121123222113 |
> | 76 | Os | Re | 1321132122211322212221121123222113 | 111312211312113221133211322112211213322113 |
> | 77 | Ir | Os | 3113112211322112211213322113 | 1321132122211322212221121123222113 |
> | 78 | Pt | Ir | 111312212221121123222113 | 3113112211322112211213322113 |
> | 79 | Au | Pt | 132112211213322113 | 111312212221121123222113 |
> | 80 | Hg | Au | 31121123222113 | 132112211213322113 |
> | 81 | Tl | Hg | 111213322113 | 31121123222113 |
> | 82 | Pb | Tl | 123222113 | 111213322113 |
> | 83 | Bi | Pm Pb | 3113322113 | 132123222113 |
> | 84 | Po | Bi | 1113222113 | 3113322113 |
> | 85 | At | Po | 1322113 | 1113222113 |
> | 86 | Rn | Ho At | 311311222113 | 13211321322113 |
> | 87 | Fr | Rn | 1113122113 | 311311222113 |
> | 88 | Ra | Fr | 132113 | 1113122113 |
> | 89 | Ac | Ra | 3113 | 132113 |
> | 90 | Th | Ac | 1113 | 3113 |
> | 91 | Pa | Th | 13 | 1113 |
> | 92 | U | Pa | 3 | 13 |
^liste-elements
- Par la suite, on notera $E_{n}$ l'élément de numéro $n$ (par exemple, $E_1$ correspond à l'hydrogène, $22$)
## Théorèmes sur les éléments
> [!proposition]+ Théorème chimique
> 1. les descendents
> 1. les descendents de chacun des 92 éléments sont des composés de ces éléments
> Autrement dit : $\forall A \text{ élément},\quad A \longrightarrow X_1\cdot X_2\cdot \cdots \quad \text{ où }X_1,X_2,\dots \text{ sont des éléments}$
> 2. Tous les descendants suffisament âgés de chacun des éléments (autres que l'Hydrogène $22$) contiennent simultanément les 92 éléments.
> Autrement dit : $\forall A \text{ élément},\quad \exists n\in \mathbb{N},\quad A \longrightarrow^{(n)} X \quad \text{où } X \text{ contient tous les 92 éléments}$
> 3. Les descendants de toutes les chaînes autres que $[\;]$ et $[22]$ finissent par contenir les 92 éléments simultanément.
>
> > [!démonstration]- Démonstration
## Tableau des éléments
1. Cela est montré par la table des éléments donnée plus haut. Le lecteur sceptique pourra vérifier la correction des dérivations.
2. Cela est également montré par la table des élément.
Le principe de la démonstration est le suivant :
1. montrer que si un élément apparaît, alors n'importe quel autre élément finira par apparaître
2. montrer que si le Lithium ($Li = E_{3}$) apparaît, alors il finira par être présent dans toutes les chaînes après un certain temps
3. montrer que le Lithium engendre l'Uranium
4. montrer que l'Uranium engendre tous les autres éléments
5. conclure
En effet, pour tout $E_{n}$ (pour $n\geq 2$) contient, dans sa chaine dérivée, l'élément $E_{n-1}$.
Pour plus de clarté, on utilisera la notation $E_{n} \xrightarrow{k} E_{i} \& E_{j} \& \cdots$ au lieu de $\forall C \text{ chaine},\quad \forall t\in \mathbb{N},\quad E_{n} \in C_{t} \implies E_{i} \in C_{t+k} \wedge E_{j}\in C_{t+k}\dots$
Ainsi, si l'on considère une chaine $C$ telle que l'élément $E_{n}$ apparaît après $t$ dérivations (dans $C_{t}$), et soit $m\leq n$ on peut affirmer que tous les éléments présents dans la dérivée de l'élément $E_{m}$ (colonne "éléments dans la dérivée", ligne $m$ du tableau) seront présents après $t+n-m$ dérivations (dans $C_{t+n-m}$). Autrement dit : $E_{n} \xrightarrow{n-m} \text{éléments dans la dérivée de }E_{m}$
Ainsi on obtient que :
- $E_{n} \xrightarrow{n-1} \ce{Hf} \& \ce{Li}$ (dès que $n\geq 2$)
- $\begin{cases} \ce{Hf}\&\ce{Li} \xrightarrow{2} \ce{Hf}\&\ce{Li} \\\ce{Hf}\&\ce{Li} \xrightarrow{71} \ce{Hf}\&\ce{Li} \end{cases}$ (car $\ce{Li} \xrightarrow{2} \ce{Hf}\&\ce{Li}$ et car $\ce{Hf} \xrightarrow{69} \ce{Li} \xrightarrow{2} \ce{Hf}\& \ce{Li}$)
- $\ce{Hf} \xrightarrow{34} \ce{Sr}\& \ce{U}$
- $\ce{U} \xrightarrow{92-n} E_{n}$
De ces propriétés, on peut déduire que si l'un des éléments (différent de l'Hydrogène) contenu dans une chaîne $C_{t_0}$ à une étape $t_0$, alors :
- Un $C_{\leq t_0 + 100}$ contiendra simultanément du Hafnium et du Lithium (la borne de $t_0+100$ n'est pas la plus petite possible mais elle est suffisante)
- cela est montré par $E_{n}\xrightarrow{n-1} \ce{Hf}\& \ce{Li}$ pour $n\geq 2$, et par le fait qu'il y à 92 (donc moins de 100) éléments.
- Tous les $C_{\geq t_0+ 200}$ contiendront simultanément du Hafnium et du Lithium
- on sait déjà qu'un $C_{\leq t_0+100}$ contient simultanément du Hafnium et du Lithium. Comme $\ce{Hf}\&\ce{Li} \xrightarrow{2} \ce{Hf}\&\ce{Li}$, on sait qu'un descendant sur deux contiendra également du Hafnium et du Lithium, autrement dit : $\exists t \leq t_0 + 100,\quad \forall k \in \mathbb{N},\quad \ce{Hf}\&\ce{Li} \in C_{t + 2k}$. Pour les $t$ pairs, on utilise le fait que $\ce{Hf}\&\ce{Li} \xrightarrow{71} \ce{Hf}\&\ce{Li}$, ainsi $\exists t \leq t_0 + 100,\quad \forall k \in \mathbb{N},\quad \ce{Hf}\&\ce{Li} \in C_{t + 2k + 71}$. En combinant les deux résultat on a bien la propriété voulue.
- Tous les $C_{\geq t_0 + 300}$ contiendront de l'Uranium
- Cela découle de deux propriétés déjà montrées : que tous les $C_{\geq t_0 + 200}$ contiennent du Hafnium, et que $\ce{Hf}\xrightarrow{34}\ce{U}$.
- Tous les $C_{\geq t_0 + 400}$ contiendront simultanément tous les éléments
- $\ce{U} \in C_{t_0+300}$ donc $\ce{Pa} \in C_{t_0+301}$, et même $\ce{U\&}\ce{Pa} \in C_{t_0 + 301}$ par la propriété précédente. Pour les mêmes raison : $\ce{U\&Pa\&Th} \in C_{t_0+302},\quad$ $\ce{U\&Pa\&Th\&Ac} \in C_{t_0+303},\quad$ $\ce{U\&Pa\&Th\&Ac\&Ra} \in C_{t_0+303},\dots$ et ainsi de suite.
![[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=183&rect=15,26,369,536&color=note|(John Horton Conway, 1987)]]
![[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=184&rect=15,30,372,536&color=note|(John Horton Conway, 1987)]]
- = $\ce{He -> Hf.Pa.H.Ca.Li}$
# Exemples
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+275 -206
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@@ -1,5 +1,6 @@
---
up:
- "[[éthique de spinoza]]"
tags:
- s/philosophie
- excalidraw
@@ -240,6 +241,32 @@ f2 ^cCc7n8KO
Digressions sur l'infini ^zP8eynoR
Retenue ^YDXmEhjj
Peur de la honte ^CILt0TUo
Panique ^C9muqkNM
crainte qui ne nous
permet pas de choisir
ce mal plutôt que celui-ci. ^l9trb56d
Colère ^6Q0t311x
effort pour faire du mal
à celui que nous haïssons ^YVZ4C1Se
Vengeance ^TctPr8l1
effort pour rendre le
mal qui nous a été fait ^bt5RcXZD
Reconnaissance,
Gratitude ^o6dobpko
effort de faire du bien à
celui qui nous aime ^y8DwZBUx
## Embedded Files
43d7aa67c57b181f89f10820da2bb08f84c325d7: $$\forall x, x > \omega \implies x \notin \mathbb{N}$$
@@ -247,416 +274,458 @@ e9894d7bda60af851e0fb13a19aa0e8095919e3e: [[attachments/Pasted Image 20260221211
## Drawing
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---
up:
- "[[sources/0 - cours/LOGOS S2/le savoir en mathématiques/Spinoza lettre 12 à Lodewijk Meyer|Spinoza lettre 12 à Lodewijk Meyer]]"
tags:
- s/philosophie/spinoza
aliases:
- test
pdf: "[[sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Camerini) La Lettre 12 et ses cercles non-concentriques.pdf|(Camerini) La Lettre 12 et ses cercles non-concentriques]]"
header-auto-numbering:
- state off
---
> [!PDF|yellow] [[sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Camerini) La Lettre 12 et ses cercles non-concentriques.pdf#page=4&selection=86,0,128,1&color=yellow|(Camerini) La Lettre 12 et ses cercles non-concentriques, p.4]]
> Pour autant, si lon suit fidèlement le texte, Spinoza ne semble pas vouloir opérer une sélection entre ce qui est infini et ce qui ne lest pas. Le philosophe néerlandais ne veut pas distinguer entre un vrai et un faux, un bon et un mauvais infini, comme si, dans les six cas exposés, seuls trois dentre eux en méritaient le nom. Son objectif, au contraire, semble être plutôt danalyser les situations d’équivocité, cest-à-dire les cas où deux choses différentes sont appelées par le même nom. Or, il sagit précisément de revendiquer la possibilité dutiliser le concept dinfini dans des cas différents, avec des significations différentes. Même dans le cas de limagination, en effet, Spinoza ne semble pas vouloir éliminer ou exclure, mais plutôt réguler cette faculté[^1].
> - so [[sources/0 - cours/LOGOS S2/le savoir en mathématiques/Éthique.pdf|Éthique (Rovère)]], note 403, p.470 : Spinoza et ses amis s'intéressent beaucoup aux aspects linguistiques, mais *"les préoccupations du groupe concernent principalement, au fond, la difficulté d'exprimer correctement les choses (idées, corps, passions, etc.)"*, avec un but de faire circuler la connaissance de manière non-ambigue
[^1]:Comme souligne Rabouin, « si lon voulait trouver un trait commun à Descartes, Spinoza ou Leibniz sur cette question, ce serait plutôt de relier les mathématiques à limagination. […] ils [les auteurs classiques] ne cessent dinsister sur le fait que sa solution est à trouver dans un règlement de limagination (par lintellect), non dans un rejet pur et simple » (D. Rabouin, « Spinoza, quelle norme mathématique ? », *Les Chemins du scepticisme en mathématiques. DAristote et de Sextus Empiricus aux arguments gödeliens et au fictionnalisme*, éd. J.-P. Cléro, Paris, Hermann, 2021, p. 32.)].
> [!PDF|yellow] [[sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Camerini) La Lettre 12 et ses cercles non-concentriques.pdf#page=5&selection=53,0,83,6&color=yellow|(Camerini) La Lettre 12 et ses cercles non-concentriques]]
> En dautres termes, Spinoza naffirme ni que linfini est divisible, ni quil ne lest pas, mais quil peut ou non être divisible sans aucune contradiction tout comme il peut ou non être comparé en ordre de grandeur à un autre infini à condition toutefois de bien comprendre de quel infini il sagit
> [!PDF|yellow] [[sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Camerini) La Lettre 12 et ses cercles non-concentriques.pdf#page=5&selection=143,44,150,1&color=yellow|(Camerini) La Lettre 12 et ses cercles non-concentriques]]
> La première distinction remonte au problème théologico-cosmologique de la tradition antique et médiévale concernant la création du monde et lexistence de Dieu.
> - i similaire à la philo. de [[Hasdaï Crescas]].
# Interprétation du *omnes inaequalitates spatii*
## Première interprétation
Traduit en "Somme des distances inégales"
- infini entre $AB$ et $CD$ comme une somme infinie de parties finies
- so impossibilité de terminer l'opération $\implies$ infini (indéfini)
## Deuxième interprétation
Traduit en "somme des différences de l'espace"
- présence implicite de l'idée d'une quantité infinitésimale
- pas une somme de quantités finies, mais de quantités infinitésimales, numériquement indéterminables
- ! s'oppose à d'autres auteurs :
- " <span style='display: inline-block; vertical-align: baseline; padding: 0.6ex; height: 0px; margin-bottom: -2pt; border: 2pt solid var(--text-normal); background: #EA5151; border-radius: 100%'></span> Cette approche soppose à ceux qui, comme Brunschvicg, soutiennent quil y a chez Spinoza une « absence dintérêt à l’égard du calcul nouveau », qui représente « la limitation technique du spinozisme20 ». [[sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Camerini) La Lettre 12 et ses cercles non-concentriques.pdf#page=9&selection=55,2,77,2&color=red|📖]]
## Troisième interprétation
Traduit "*omnes*" non pas par "somme", mais par "toutes"
- sens **distributif** (plutôt que collectif)
- " <span style='display: inline-block; vertical-align: baseline; padding: 0.6ex; height: 0px; margin-bottom: -2pt; border: 2pt solid var(--text-normal); background: #F9CF04; border-radius: 100%'></span> Pour Granger, « cest-à-dire en termes modernes, la *puissance de leur ensemble*, qui est inexprimable par un nombre puisque tout nombre est pour Spinoza nécessairement fini. Cet ensemble est cependant borné quant à sa mesure, et ses éléments, les *inaequalitates*, sont également bornés » et ce en raison de la nature de lespace entre les deux cercles, cest-à-dire un ensemble continu d’éléments partout différents, qui ne peut être considéré comme une collection de parties discrètes et quantifiables. [[sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Camerini) La Lettre 12 et ses cercles non-concentriques.pdf#page=9&selection=93,27,123,26&color=yellow|📖]]
Pour Camerini, c'est la meilleure explication :
- " <span style='display: inline-block; vertical-align: baseline; padding: 0.6ex; height: 0px; margin-bottom: -2pt; border: 2pt solid var(--text-normal); background: #F9CF04; border-radius: 100%'></span> les deux premières nexpliquent pas la nécessité pour Spinoza dexaminer deux cercles non concentriques au lieu de cercles concentriques. [[sources/0 - cours/LOGOS S2/le savoir en mathématiques/(Camerini) La Lettre 12 et ses cercles non-concentriques.pdf#page=9&selection=126,17,136,1&color=yellow|📖]]

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@@ -66,4 +66,5 @@ retention = min_age + (-max_age + min_age) * pow((file_size / max_size - 1), 3)
> if you would like to request permanent deletion, please
> send an email to hostmaster@envs.net.
>
> please allow up to 24 hours for a response.
> please allow up to 24 hours for a response.
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@@ -19,3 +19,7 @@ Client IRC
- `/bar toggle <name>`
- affichage de l'heure des messages
- `/set weechat.look.buffer_time_format "${252}%H${245}%M${240}%S"`
$\mathcal{LA RAZINE CARRÉE}$
$\mathfrak{LA RAZINE CARRÉE}$
$\mathbb{LA RAZINE CARRÉE}$
+9
View File
@@ -9,3 +9,12 @@ author:
year: 1677
---
```breadcrumbs
title: "Sous-notes"
type: tree
collapse: true
show-attributes: [field]
field-groups: [downs]
depth: [0, 0]
```