From a9e92b4b31c9486d168f21e87735d908cc6c2b56 Mon Sep 17 00:00:00 2001 From: VectorKappa Date: Mon, 11 Sep 2023 15:47:34 +0200 Subject: [PATCH] vault backup: 2023-09-11 15:47:34 --- .obsidian/app.json | 5 +-- .obsidian/core-plugins-migration.json | 3 +- .obsidian/core-plugins.json | 1 + .obsidian/workspace.json | 39 +++++++++++++--------- AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md | 9 ++++- AMiAL/Ściągi.md | 3 +- 6 files changed, 37 insertions(+), 23 deletions(-) diff --git a/.obsidian/app.json b/.obsidian/app.json index 690681a..dc93200 100644 --- a/.obsidian/app.json +++ b/.obsidian/app.json @@ -2,10 +2,7 @@ "attachmentFolderPath": "!Załączniki", "showFrontmatter": true, "spellcheck": true, - "spellcheckLanguages": [ - "en-GB", - "pl" - ], + "spellcheckLanguages": null, "pdfExportSettings": { "includeName": true, "pageSize": "A4", diff --git a/.obsidian/core-plugins-migration.json b/.obsidian/core-plugins-migration.json index 8b99a82..685c6ec 100644 --- a/.obsidian/core-plugins-migration.json +++ b/.obsidian/core-plugins-migration.json @@ -26,5 +26,6 @@ "publish": false, "sync": false, "canvas": true, - "bookmarks": true + "bookmarks": true, + "properties": true } \ No newline at end of file diff --git a/.obsidian/core-plugins.json b/.obsidian/core-plugins.json index 8a856ef..47f89df 100644 --- a/.obsidian/core-plugins.json +++ b/.obsidian/core-plugins.json @@ -7,6 +7,7 @@ "canvas", "outgoing-link", "tag-pane", + "properties", "page-preview", "daily-notes", "templates", diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 5a00847..26ed93b 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -11,8 +11,12 @@ "id": "11755906ffae0147", "type": "leaf", "state": { - "type": "3d_graph_view", - "state": {} + "type": "markdown", + "state": { + "file": "AMiAL/Ćwiczenia/Zadania/Pochodne/Zadanie 1.md", + "mode": "source", + "source": false + } } } ] @@ -89,6 +93,7 @@ "state": { "type": "backlink", "state": { + "file": "AMiAL/Ćwiczenia/Zadania/Pochodne/Zadanie 1.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -105,6 +110,7 @@ "state": { "type": "outgoing-link", "state": { + "file": "AMiAL/Ćwiczenia/Zadania/Pochodne/Zadanie 1.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -126,7 +132,9 @@ "type": "leaf", "state": { "type": "outline", - "state": {} + "state": { + "file": "AMiAL/Ćwiczenia/Zadania/Pochodne/Zadanie 1.md" + } } }, { @@ -190,8 +198,7 @@ } ], "direction": "horizontal", - "width": 300, - "collapsed": true + "width": 300 }, "left-ribbon": { "hiddenItems": { @@ -213,10 +220,20 @@ }, "active": "11755906ffae0147", "lastOpenFiles": [ + "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 2.md", + "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md", + "AMiAL/!Materiały/calki_1.pdf", + "AMiAL/Ćwiczenia/2 SEM/20230303081617.md", + "AMiAL/Wykłady/1 SEM/20221202082251.md", + "AMiAL/Wykłady/1 SEM/20221014083923.md", + "AMiAL/Ściągi.md", + "AMiAL/Wykłady/2 SEM/10. Całka niewłaściwa.md", + "AMiAL/Wykłady/2 SEM/Podstawienie Eulera.md", + "AMiAL/Wykłady/Wykłady.md", + "AMiAL/AMiAL.md", "TC/Wykład/0. Wstęp.md", "!Załączniki/Transformata 2023-06-23 11.33.32.excalidraw.md", "Elektrotechnika/Ściągi/Transformata.md", - "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md", "Elektrotechnika/Ćwiczenia/20230317101750.md", "Elektrotechnika/Ćwiczenia/20221014103322.md", "Elektrotechnika/Ściągi/1 Semestr.md", @@ -231,19 +248,9 @@ "Elektrotechnika/Ćwiczenia/20221125102535.md", "Elektrotechnika/Ściągi", "EiM/Ćwiczenia/Untitled.md", - "AiSD/Wykład/1. Wprowadzenie, złożoność czasowa i pamięciowa.md", - "TC/Wykład/6. Układy Sekwencyjne.md", - "!Załączniki/20221125102535 2022-11-25 10.26.06.excalidraw.md", - "AMiAL/Ćwiczenia/Zadania/Pochodne/Zadanie 2.md", - "AMiAL/Ćwiczenia/Zadania/Pochodne/Zadanie 1.md", - "AMiAL/AMiAL.md", - "AiSD/AiSD.md", - "TC/TC.md", - "TC/Ćwiczenia/Ćwiczenia.md", "TC/Ściągi", "EiM/Ściągi", "!Załączniki/Pasted image 20230620141025.png", - "AMiAL/!Materiały/calki_1.pdf", "!Załączniki/Recording 20230418135018.webm", "!Załączniki/Recording 20230418134959.webm", "EiM/Ćwiczenia", diff --git a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md index 2fb9232..4db3cf7 100644 --- a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md +++ b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md @@ -74,4 +74,11 @@ $$ ## 17. $$\int \frac{\sqrt[3]{x}-1}{\sqrt[6]{x}-1}dx=\int\frac{x^{\frac{1}{3}}-1}{x^{\frac{1}{6}}-1}dx=\int\frac{x^{\frac{1}{3}}}{x^{\frac{1}{6}}-1}-\int\frac{1}{x^{\frac{1}{6}}-1}=$$ ## 18. -$$\int (4^{x}+2^{-x})dx=\frac{4x}{\ln 4}+ \int (\frac{1}{2})^{x}dx=\frac{4^{x}}{\ln 4}+\frac{(\frac{1}{2})^{x}}{\ln \frac{1}{2}}+c$$ \ No newline at end of file +$$\int (4^{x}+2^{-x})dx=\frac{4x}{\ln 4}+ \int (\frac{1}{2})^{x}dx=\frac{4^{x}}{\ln 4}+\frac{(\frac{1}{2})^{x}}{\ln \frac{1}{2}}+c$$ +## 19. +$$ +\begin{gathered} +\int5^{x}e^{x}dx= \int(5e)^x + +\end{gathered} +$$ \ No newline at end of file diff --git a/AMiAL/Ściągi.md b/AMiAL/Ściągi.md index 2fbd034..1aa750b 100644 --- a/AMiAL/Ściągi.md +++ b/AMiAL/Ściągi.md @@ -1,8 +1,9 @@ ## Tabela funkcji trygonometrycznych + |rad|0|$\frac{\pi}{6}$|$\frac{\pi}{4}$|$\frac{\pi}{3}$|$\frac{\pi}{2}$|$\pi$| |:-|-|-|-|-|-|-| -|deg|0°|30°|45°|60°|90°|180°| +|deg|$0°$|$30°$|$45°$|$60°$|$90°$|$180°$| |$\sin{\alpha}$|$0$|$\frac{1}{2}$|$\frac{1}{2}$|$\frac{1}{2}$|$1$|$0$| |$\cos{\alpha}$|$1$|$\frac{\sqrt{3}}{2}$|$\frac{\sqrt{2}}{2}$|$\frac{1}{2}$|$0$|$-1$| |$\tan{\alpha}$|$0$|$\frac{\sqrt{3}}{3}$|1|$\sqrt{3}$|$-$|$0$|