diff --git a/!Załączniki/20230428101941 2023-04-28 10.22.19.excalidraw.md b/!Załączniki/20230428101941 2023-04-28 10.22.19.excalidraw.md new file mode 100644 index 0000000..f52020f --- /dev/null +++ b/!Załączniki/20230428101941 2023-04-28 10.22.19.excalidraw.md @@ -0,0 +1,1564 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm0eWJo6IIR9BA4oZm4AbXAwUDBS + +iBJuCCMABXwAfRgATkyAUQBVABYAOQ6AaQBZAEliOoBWTABhNNLIWERKgDNAhE8q + +fjLMbmdYgGZRxL2U0Y6Oxp3zviLIGC3d+IB2Hkf7xoA2V52ABgTRxo71yAUEjqbi + +PZKNM73e4nWIdT6vHijAFSBCEZTSbgJJL3HaxT4vPGxUYIpFXCDWZTBbifZHMKCk + +NgAawQEzY+DYpEqAGJPry+dMyppcNhGcoGUIOMRWezORJ6dZmHBcIEcgLIAtCPh8 + 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index 0000000..791f541 --- /dev/null +++ b/!Załączniki/20230428101941 2023-04-28 10.39.09.excalidraw.md @@ -0,0 +1,1862 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm0eWJo6IIR9BA4oZm4AbXAwUDBS + +iBJuCABxZx4OADkATQB2CjYALWcAfQAGAEVMZoBmCmV2rn4y2ERKgDNAhE8qSchM + +bmcAFg2ATm1YoZ4AVg2ElKGensOe5pWIGHX9nu0ANiHY057n5oTm2J7tja3CgkdT + +cA5JV5DQ6xLY9DY8bbPba3SQIQjKaTcb6JZo8a49N5HW7WZTBbg9W7MKCkNgAawQ + +AGE2Pg2KRKgBiC5cnppUqQTS4bC05Q0oQcYhMllsiTU6zMOC4QI5XllWaEfD4ADK + +sDJEkkgo0gRVAmpdIQAHUQZJuLFKab6dqYLr0IIPMaIKKMRxwnk0LaipA2ArsGp7 + +n6LrcRcI4ABJYi+1D5AC6t1F4u9zATHCEGspCEWNueh0R20RB1ujBY7C4aCGgIDD + +CYrE49U4Ym420eCQ2zUOfAbhGYABEMlAC2hZgQwrdNMJxQBRYJZHJZnP4W5CODEX + 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-25,5 +25,6 @@ "file-recovery": true, "publish": false, "sync": false, - "canvas": true + "canvas": true, + "bookmarks": true } \ No newline at end of file diff --git a/.obsidian/core-plugins.json b/.obsidian/core-plugins.json index e5aba82..692f785 100644 --- a/.obsidian/core-plugins.json +++ b/.obsidian/core-plugins.json @@ -13,7 +13,7 @@ "note-composer", "command-palette", "editor-status", - "starred", + "bookmarks", "markdown-importer", "zk-prefixer", "outline", diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index e80a9ac..c7555f7 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -8,18 +8,29 @@ "type": "tabs", "children": [ { - "id": "1eb42644e92dcb17", + "id": "938ad38d86b932c5", "type": "leaf", "state": { "type": "markdown", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md", + "file": "TC/Wykład/7..md", "mode": "source", "source": false } } + }, + { + "id": "455e8a63d7cbabc4", + "type": "leaf", + "state": { + "type": "release-notes", + "state": { + "currentVersion": "1.2.8" + } + } } - ] + ], + "currentTab": 1 } ], "direction": "vertical" @@ -64,6 +75,14 @@ "type": "starred", "state": {} } + }, + { + "id": "562379ddd83ebec1", + "type": "leaf", + "state": { + "type": "bookmarks", + "state": {} + } } ] } @@ -85,7 +104,7 @@ "state": { "type": "backlink", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md", + "file": "TC/Wykład/7..md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -102,7 +121,7 @@ "state": { "type": "outgoing-link", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md", + "file": "TC/Wykład/7..md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -125,7 +144,7 @@ "state": { "type": "outline", "state": { - "file": "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md" + "file": "TC/Wykład/7..md" } } }, @@ -206,42 +225,41 @@ "audio-recorder:Start/stop recording": false, "3d-graph:3D Graph": false, "juggl:Juggl global graph": false, - "obsidian-excalidraw-plugin:Create new drawing": false, - "breadcrumbs:Breadcrumbs Visualisation": false + "obsidian-excalidraw-plugin:Create new drawing": false } }, - "active": "1eb42644e92dcb17", + "active": "455e8a63d7cbabc4", "lastOpenFiles": [ - "AMiAL/Ćwiczenia/2 SEM/20230303081617.md", - "AMiAL/AMiAL.md", - "EiM/EiM.md", + "TC/Wykład/8. Przerzutniki.md", + "TC/Wykład/7..md", + "TC/Wykład/3. ?.md", + "TC/Ćwiczenia/aaa.md", + "TC/Ćwiczenia/Ćwiczenia.md", "TC/TC.md", + "EiM/Ćwiczenia/Analiza stałoprądowa.md", + "!Załączniki/Analiza stałoprądowa 2023-05-09 13.50.06.excalidraw.md", + "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md", + "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 2.md", + "AMiAL/!Materiały/calki_1.pdf", + "AMiAL/AMiAL.md", + "AiSD/AiSD.md", + "Elektrotechnika/Ćwiczenia/20230428101941.md", + "!Załączniki/20230428101941 2023-04-28 10.39.09.excalidraw.md", + "!Załączniki/20230428101941 2023-04-28 10.22.19.excalidraw.md", + "AMiAL/Ćwiczenia/2 SEM/20230303081617.md", + "EiM/EiM.md", "TC/Ćwiczenia/Untitled.md", "TC/Wykład/0. Wstęp.md", "TC/Wykład/Wykład.md", "TC/Ćwiczenia/1. Algebra Boola.md", - "TC/Ćwiczenia/aaa.md", "TC/Ćwiczenia/2. Realizacja układów na stykach.md", "TC/Ćwiczenia/3. Układy iteracyjne.md", - "TC/Ćwiczenia/Ćwiczenia.md", "TC/Laboratorium/Laboratorium.md", - "TC/Wykład/8. Przerzutniki.md", "!Załączniki/2. Charakterystyki 2023-04-25 13.49.32.excalidraw.md", "EiM/Ćwiczenia/2. Charakterystyki.md", - "TIiK/Ćwiczenia/1. Logarytmy.md", - "TIiK/Wykład/4..md", - "AiSD/Ćwiczenia/2. Ćwiczenia.md", - "AiSD/Ćwiczenia/3. Złożoność i czynnik sumacyjny.md", - "AiSD/AiSD.md", - "AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 5.md", - "TC/Wykład/6. Układy Sekwencyjne.md", - "EiM/Wykłady/1. Wstęp.md", - "TIiK/Wykład/2..md", - "TIiK/Wykład/3. Łańcuchy markowa.md", "!Załączniki/Recording 20230418135018.webm", "!Załączniki/Recording 20230418134959.webm", "EiM/Ćwiczenia", - "AMiAL/!Materiały/calki_1.pdf", "AMiAL/!Materiały/w0_intro.pdf", "!Załączniki/Excalidraw/Scripts/Downloaded/Normalize Selected Arrows.svg", "!Załączniki/Excalidraw/Scripts/Downloaded/Fixed inner distance.svg", diff --git a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md index dc8ab6d..2fb9232 100644 --- a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md +++ b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 1.md @@ -56,9 +56,22 @@ $$ \begin{gather} \int\frac{x^{2}-x-2}{\sqrt[3]{x^{2}}}dx=\int\frac{x^{2}-x-2}{x^{\frac{2}{3}}}dx=\int \frac{x^{2}}{x^{\frac{2}{3}}}dx-\int \frac{x}{x^{\frac{2}{3}}}dx-\int \frac{2}{x^{\frac{2}{3}}}dx=\\ -= - +=\int x^{\frac{4}{3}}dx- \int x^{\frac{1}{3}}dx - \int \frac{2}{x^{\frac{2}{3}}}dx= \frac{3x^{\frac{7}{3}}}{7}- \frac{3x^{\frac{4}{3}}}{4}-2\cdot3x^\frac{1}{3}+C=\\ +=\frac{3x^{2}\sqrt[3]{x}}{7} - \frac{3x\sqrt[3]{x}}{4} -6 \sqrt[3]{x}+C + \end{gather} $$ + +## 15. +$$\begin{gather} +\int \frac{(x+\sqrt{x})(\sqrt{x}+\sqrt[4]{x})(\sqrt{x}-\sqrt[4]{x})}{x}dx=\int \frac{(x+\sqrt{x})(x - \sqrt{x})}{x}dx= \\ += \int\frac{x^{2}-x}{x}dx=\int x-1dx = \frac{x^{2}}{2}-x+C +\end{gather}$$ +## 16. +$$ +\int\frac{\sqrt{x+2\sqrt{x}+1}}{x}dx=\int \frac{x^{\frac{1}{2}}+1}{x}dx= \int \frac{x^{\frac{1}{2}}}{x}+\int \frac{1}{x}dx=2x^{\frac{1}{2}}+\ln|x|+C +$$ +## 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 diff --git a/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 2.md b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 2.md new file mode 100644 index 0000000..82e3fb6 --- /dev/null +++ b/AMiAL/Ćwiczenia/Zadania/Całki/Zadanie 2.md @@ -0,0 +1,3 @@ +# Obliczyć całki. +## 1. +$$\int x \cos x dx=\sin x +C$$ \ No newline at end of file diff --git a/EiM/Ćwiczenia/Analiza stałoprądowa.md b/EiM/Ćwiczenia/Analiza stałoprądowa.md new file mode 100644 index 0000000..1053003 --- /dev/null +++ b/EiM/Ćwiczenia/Analiza stałoprądowa.md @@ -0,0 +1,2 @@ +![[Analiza stałoprądowa 2023-05-09 13.50.06.excalidraw]] + diff --git a/Elektrotechnika/Ćwiczenia/20230428101941.md b/Elektrotechnika/Ćwiczenia/20230428101941.md new file mode 100644 index 0000000..0556a19 --- /dev/null +++ b/Elektrotechnika/Ćwiczenia/20230428101941.md @@ -0,0 +1,10 @@ +| |S|jω| +|-|-|-| +|R|R|R| +|L|Z$_L$=sL|Z$_L$=jωL| + + +![[20230428101941 2023-04-28 10.22.19.excalidraw]] + + +![[20230428101941 2023-04-28 10.39.09.excalidraw]]