From b88ded3ac98b025d6fb77eebcdef63d6728badbe Mon Sep 17 00:00:00 2001 From: VectorKappa Date: Fri, 10 Mar 2023 08:18:20 +0100 Subject: [PATCH] vault backup: 2023-03-10 08:18:20 --- ...ebra Boola 2023-03-08 11.10.24.excalidraw.md | 23 + ...ebra Boola 2023-03-08 11.11.50.excalidraw.md | 2466 +++++++++++++++++ ...ebra Boola 2023-03-08 11.17.37.excalidraw.md | 1372 +++++++++ ...ebra Boola 2023-03-08 11.38.40.excalidraw.md | 874 ++++++ .../obsidian-completr/scanned_words.txt | 13 + .obsidian/workspace.json | 119 +- TC/ALGEBRA BOOLOWSKA.md | 19 +- TC/Ćwiczenia/1. Algebra Boola.md | 31 + TC/Ćwiczenia/Ćwiczenia.md | 6 + 9 files changed, 4834 insertions(+), 89 deletions(-) create mode 100644 !Załączniki/1. Algebra Boola 2023-03-08 11.10.24.excalidraw.md create mode 100644 !Załączniki/1. Algebra Boola 2023-03-08 11.11.50.excalidraw.md create mode 100644 !Załączniki/1. Algebra Boola 2023-03-08 11.17.37.excalidraw.md create mode 100644 !Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md create mode 100644 TC/Ćwiczenia/1. Algebra Boola.md create mode 100644 TC/Ćwiczenia/Ćwiczenia.md diff --git a/!Załączniki/1. Algebra Boola 2023-03-08 11.10.24.excalidraw.md b/!Załączniki/1. Algebra Boola 2023-03-08 11.10.24.excalidraw.md new file mode 100644 index 0000000..7135b71 --- /dev/null +++ b/!Załączniki/1. Algebra Boola 2023-03-08 11.10.24.excalidraw.md @@ -0,0 +1,23 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +%% +# Drawing +```compressed-json +N4IgLgngDgpiBcIYA8DGBDANgSwCYCd0B3EAGhADcZ8BnbAewDsEAmcm+gV31TkQ + +AswYKDXgB6MQHNsYfpwBGAOlT0AtmIBeNCtlQbs6RmPry6uA4wC0KDDgLFLUTJ2l + +H8MTDHQ0YNMWHRJMQBGRQAORWCAdjIkT1UYRjAaBABtAF1ydCgoAGUAsD5QWRgEh + +BBcdHwAa1jJfDxc7A0+Rk5MTHIdGCIAIXRUavquRlwAYXpMenxygGIAM0WlkABfF + +aA== +``` +%% \ No newline at end of file diff --git a/!Załączniki/1. Algebra Boola 2023-03-08 11.11.50.excalidraw.md b/!Załączniki/1. Algebra Boola 2023-03-08 11.11.50.excalidraw.md new file mode 100644 index 0000000..9daa551 --- /dev/null +++ b/!Załączniki/1. Algebra Boola 2023-03-08 11.11.50.excalidraw.md @@ -0,0 +1,2466 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm1YgHYaOiCEfQQOKGZuAG1wMFAw + +MogSbggABgoAEXoAJQA5AGtNAHUAKRhqgFYAeQAWaoA2AGUAcUwANXSyyFhEKoAz + +QIRPKn5yzG5nAGZYvu3IGD3UlO0+gE59lOPiyAoSdW5Y/ZOpBEJlaTfqz7WZTBbg + +Ax4QZhQUhsVoIADCbHwbFIVQAxNUMZj5uVNLhsK1lNChBxiAikSiJFDrMw4LhArl + +sZAVoR8PhxrAQRJJHiNIFGRCoTCEB0XpJQVdPpDobD2TBOehBB5+UTfhxwvk0LFP + +mxadg1GdNRjPoThHAAJLEDWoAoAXU+RJJauYVo4QlZkoQGzeI1GQwSoz6KVGn0YL + +HYXDQoxSIaYrE4zU4Ym41z61R4Qz6Q3Tn0IzDqmSgXrQKwIYU+mmEJIAosFsrkXW + +78J8hHBiLhC8Q3lGEjwUv1qkNRvswQsIEQOK1uK73eCkfii6gS/gy+C4GxCPXCo8 + 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Algebra Boola 2023-03-08 11.17.37.excalidraw.md b/!Załączniki/1. Algebra Boola 2023-03-08 11.17.37.excalidraw.md new file mode 100644 index 0000000..4f9385f --- /dev/null +++ b/!Załączniki/1. Algebra Boola 2023-03-08 11.17.37.excalidraw.md @@ -0,0 +1,1372 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm1YgHYaOiCEfQQOKGZuAG1wMFAw + +MogSbggAMwBhfASARViAVgANAE5GgGYUgDUAEWIAJTgoAEFnIXSyyFhEKurAhE8q + +fnLMbmdu7oT1yBgtgBZ4lo7elv2IChJ1blSryQRCZWl7lKvrZWDuAAYr5hQUhsAD + +WCFqbHwbFIVQAxL8EYiZuVNLhsCDlMChBxiBCoTCJEDrMw4LhArlkZBqoR8PgAMq + +wH4SSRojSBSkQQHAsEAdVukj+2kuxQEQNBCAZMCZ6EEHg5WNeHHC+TQsSubFJ2DU + +h1VCKumOEcAAksQVagCgBdK5YnFK5hmjhCWkAhArbgdI7nHYIgBsV0YLHYXDQPDV + +IoYTFYnAAcpwxNweL8fQkfR1Yt0jldCMwBpkoG60NUCGErpphDiAKLBbK5B1O/BX + +IRwYi4fPEe4+lIJHgpJM+3o7K5EDgg7iO53hqHoguoIv4EvhuBsQi1woisBFWZlf + 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Algebra Boola 2023-03-08 11.38.40.excalidraw.md b/!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md new file mode 100644 index 0000000..572cbf0 --- /dev/null +++ b/!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md @@ -0,0 +1,874 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```compressed-json +N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATL + +ZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHAL + +RY8RMpWdx8Q1TdIEfARcZgRmBShcZQUARm0ADm1YgHYaOiCEfQQOKGZuAG1wMFAw + +MogSbggAaSEeACUALQBlZx4AdQAVABEYAEUAMQA5AGEAMwBHIwAhAHF0sshYRCqx + +wIRPKn5yzG5nWIBmAFZtyBhuWKOU7QAWAAYANh4T4sgKEnVuI4fTqQRCZTSC5HAC + +cv2symC3Duv2YUFIbAA1ggRmx8GxSFUAMR3XF4hblTS4bCI5QIoQcYio9GYiTw6z + +MOC4QK5AmQMaEfD4ZqwKESSTEjSBNkQOEI5HtD6SC6w+FIhA8mB89CCDwi8mAjjh + +fJoWK/NhM7Bqc663G/MnCOAASWIOtQBQAur9yZStcw7RwhFzYQgNhcUiDYrEEncj + +gkEr9GCx2Fw0AcDpGmKxOENOGJuDcHikjscQ79CMxupkoH60GMCGFfpphJSAKLBb + +K5D1e/C/IRwYi4EvEC5ZhI8FKxEE8Yd3G6/IgcRHcT3e14QdEk0uocv4SvzuBsQh + 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a/.obsidian/plugins/obsidian-completr/scanned_words.txt b/.obsidian/plugins/obsidian-completr/scanned_words.txt index 2fb6e12..e6ef611 100644 --- a/.obsidian/plugins/obsidian-completr/scanned_words.txt +++ b/.obsidian/plugins/obsidian-completr/scanned_words.txt @@ -1346,6 +1346,7 @@ Poleg Przyrządy Pierwsza Please +Poprzednie obj oh oq @@ -6650,6 +6651,7 @@ endElkId elkEl error endBindingEl +elementem Length Link LN @@ -10680,6 +10682,8 @@ startElkId sources selectedIndividualArrows startBindingEl +sumy +stykach JQ Js JX @@ -17275,6 +17279,7 @@ Błędów Błędy BRANDES Between +Bramki Trans Type TF @@ -18652,6 +18657,7 @@ TGxa TIiK Techniki Teoria +Tautologie Annots Annot Aac @@ -22558,6 +22564,7 @@ RuF REO RAU Raw +Rozdzielność Navigation No Nj @@ -30525,6 +30532,7 @@ initTopX initTopY intersectA intersectElementWithLine +iloczynu vK vE vD @@ -54345,6 +54353,7 @@ wielkośni wskazuje większy will +względem pDJ parenleftbigg parenrightbigg @@ -55760,6 +55769,7 @@ powered placement parse points +przemienności HD Ho Hg @@ -63613,6 +63623,8 @@ nodePlacementStrategy nodeNodeSpacing nodeNodeBetweenLayersSpacing normalizeSelectedArrows +negacji +neutralnym gNx gHI gri @@ -69022,6 +69034,7 @@ znamionowa zakresu zakresowy zgrozo +zadanie ÜI Üj ÜX diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index ee7e35c..3934019 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -8,79 +8,36 @@ "type": "tabs", "children": [ { - "id": "ed54f57e5b23f1d2", + "id": "b73cf13cf0f76801", "type": "leaf", "state": { "type": "markdown", "state": { - "file": "AMiAL/Wykłady/Wykłady.md", - "mode": "source", - "source": false - } - } - }, - { - "id": "dd7d6d61fda973a2", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "AMiAL/Wykłady/1 SEM/Untitled.md", - "mode": "source", - "source": false - } - } - }, - { - "id": "d22b7f26e7085367", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "EiM/EiM.md", - "mode": 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Wstęp.md", - "mode": "source", - "source": false - } - } - }, - { - "id": "2ac8472781358939", - "type": "leaf", - "state": { - "type": "markdown", - "state": { - "file": "TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md", + "file": "TC/Ćwiczenia/1. Algebra Boola.md", "mode": "source", "source": false } } } - ], - "currentTab": 5 + ] + }, + { + "id": "6cac8048b3de6e65", + "type": "tabs", + "children": [ + { + "id": "98355ea40f905ecf", + "type": "leaf", + "state": { + "type": "markdown", + "state": { + "file": "TC/ALGEBRA BOOLOWSKA.md", + "mode": "source", + "source": false + } + } + } + ] } ], "direction": "vertical" @@ -146,7 +103,7 @@ "state": { "type": "backlink", "state": { - "file": "TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md", + "file": "TC/Ćwiczenia/1. Algebra Boola.md", "collapseAll": false, "extraContext": false, "sortOrder": "alphabetical", @@ -163,7 +120,7 @@ "state": { "type": "outgoing-link", "state": { - "file": "TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md", + "file": "TC/Ćwiczenia/1. Algebra Boola.md", "linksCollapsed": false, "unlinkedCollapsed": true } @@ -186,7 +143,7 @@ "state": { "type": "outline", "state": { - "file": "TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md" + "file": "TC/Ćwiczenia/1. Algebra Boola.md" } } }, @@ -244,10 +201,22 @@ "obsidian-excalidraw-plugin:Create new drawing": false } }, - "active": "2ac8472781358939", + "active": "b73cf13cf0f76801", "lastOpenFiles": [ - "!Załączniki/2. Optymalizacja ze stanem nieokreślonym 2023-03-08 08.59.49.excalidraw.md", + "!Załączniki/1. Algebra Boola 2023-03-08 11.38.40.excalidraw.md", + "TC/Ćwiczenia/1. Algebra Boola.md", + "TC/ALGEBRA BOOLOWSKA.md", + "!Załączniki/1. Algebra Boola 2023-03-08 11.17.37.excalidraw.md", + "!Załączniki/1. Algebra Boola 2023-03-08 11.11.50.excalidraw.md", + "AMiAL/Wykłady/Wykłady.md", + "AMiAL/Wykłady/1 SEM/Untitled.md", + "EiM/EiM.md", + "EiM/Wykłady/Untitled.md", + "TC/Wykład/0. Wstęp.md", + "TC/Ćwiczenia/Ćwiczenia.md", + "TC/Laboratorium/Laboratorium.md", "TC/Wykład/2. Optymalizacja ze stanem nieokreślonym.md", + "!Załączniki/2. Optymalizacja ze stanem nieokreślonym 2023-03-08 08.59.49.excalidraw.md", "!Załączniki/Excalidraw/Scripts/Downloaded/Auto Layout.md", "!Załączniki/Excalidraw/Scripts/Downloaded/Box Selected Elements.svg", "!Załączniki/Excalidraw/Scripts/Downloaded/Text Arch.md", @@ -268,19 +237,7 @@ "!Załączniki/Excalidraw/Scripts/Downloaded/Auto Layout.svg", "!Załączniki/Excalidraw/Scripts/Downloaded", "!Załączniki/Excalidraw/Scripts", - "TC/Wykład/0. Wstęp.md", - "TC/ALGEBRA BOOLOWSKA.md", "TC/Wykład/1. Optymalizacja.md", - "TC/Wykład/Wykład.md", - "TC/TC.md", - "EiM/EiM.md", - "EiM/Wykłady/1. Wstęp.md", - "EiM/Wykłady/Untitled.md", - "PI/PI.md", - "EP/EP.md", - "AiSD/AiSD.md", - "AMiAL/AMiAL.md", - "AMiAL/Wykłady/Wykłady.md", "!Załączniki/Recording 20230307101855.webm", "!Załączniki/Drawing 2022-10-28 10.29.21.excalidraw.svg", "!Załączniki/Recording 20230307101521.webm", diff --git a/TC/ALGEBRA BOOLOWSKA.md b/TC/ALGEBRA BOOLOWSKA.md index c015c4f..5cffe66 100644 --- a/TC/ALGEBRA BOOLOWSKA.md +++ b/TC/ALGEBRA BOOLOWSKA.md @@ -1,14 +1,14 @@ # Aksjomaty algebry boola 1. $(\bar 0 = 1) \cap (\bar 1 = 0)$ -2. $\forall x\in B (x+1=1) \cap (x \cdot 1 = x)$ -3. $\forall x\in B (x+0=x) \cap (x \cdot 0 = 0)$ -4. $(x + \bar x = 1) \cap (x \cdot \bar x = 0)$ -5. $(x+x=x)\cap (x\cdot x = x)$ +2. $(x+1=1) \cap (x \cdot 1 = x)$ - 1 elementem neutralnym dla iloczynu +3. $(x+0=x) \cap (x \cdot 0 = 0)$ - 0 elementem neutralnym dla sumy +4. $(x + \bar x = 1) \cap (x \cdot \bar x = 0)$ - Prawo negacji +5. $(x+x=x)\cap (x\cdot x = x)$ - Prawo idempotentności 6. $\bar{\bar x} = x$ -7. $\forall x,y \in B\ \ (\overline{x+y}=\bar{x}\cdot \bar{y})\cap (\overline{xy}=\bar{x}+\bar{y})$ prawo de morgana -8. $(x+y = y+x) \cap (x\cdot y = y \cdot x)$ -9. $x+(y+z)=(x+y)+z\cap x(yz)=(xy)z$ -10. $x(y+z)=xy+xz\cap x+(yz)=x+y \cdot x+z$ +7. $(\overline{x+y}=\bar{x}\cdot \bar{y})\cap (\overline{xy}=\bar{x}+\bar{y})$ - Prawo de morgana +8. $(x+y = y+x) \cap (x\cdot y = y \cdot x)$ - Prawo przemienności iloczynu/sumy +9. $x+(y+z)=(x+y)+z\cap x(yz)=(xy)z$ +10. $x(y+z)=xy+xz\cap x+(yz)=x+y \cdot x+z$ - Rozdzielność iloczynu względem sumy # Prawa Pochłaniania 1. $x+xy=x \cap x(x+y)=x$ @@ -16,3 +16,6 @@ # Prawo Wklejania 1. $(yx+\bar x=y)\cap[(y+x)(y+\bar x)=y]$ + +%%za a+a=a^2 ban na życie%% + diff --git a/TC/Ćwiczenia/1. Algebra Boola.md b/TC/Ćwiczenia/1. Algebra Boola.md new file mode 100644 index 0000000..81e0f93 --- /dev/null +++ b/TC/Ćwiczenia/1. Algebra Boola.md @@ -0,0 +1,31 @@ + +--- +Date: [20230308101739] +--- + +![[ALGEBRA BOOLOWSKA]] + + + +# Tautologie +## 1 +$$\begin{gathered} +x\cdot y + \bar{y} \cdot z = (x+z)\cdot(y+\bar{x}) +\\\\ + P=(x+z)\cdot(y+\bar{x}){=}^{10}(x+z)\cdot y + (x+z)\cdot \bar{x}\\=^{8}y\cdot(x+z)+\bar{x}\cdot(x+z)=^{10}y\cdot x+ y \cdot z + \bar{x}\cdot x + \bar{x} \cdot z\\ =^{4}y\cdot x + y \cdot z + 0 +\bar{x}\cdot z =^{3}y\cdot x + y \cdot z + \bar{x}\cdot z\\=^{2}y\cdot x + y \cdot z \cdot 1 + \bar{x}\cdot z =^{4} y\cdot x + y\cdot z \cdot (x+\bar{x})+\bar{x}\cdot z \\=^{10}y\cdot x + y\cdot z \cdot x + y \cdot z \cdot \bar{x}+\bar{x}\cdot z =^{8} x*y+xyz+\bar{x}zy+\bar{x}z \\=^{2}xy(1+z)+\bar{x}z(y+1)=^{8}xy(z+1)+\bar{x}z(y+1)=^{2}xy\cdot1+\bar{x}z\cdot 1\\=^{2}xy+\bar{x}z = L + +\end{gathered}$$ + + + + + +# Bramki na stykach + +![[1. Algebra Boola 2023-03-08 11.11.50.excalidraw]] + + +## Poprzednie zadanie: +![[1. Algebra Boola 2023-03-08 11.17.37.excalidraw]] + +![[1. Algebra Boola 2023-03-08 11.38.40.excalidraw]] \ No newline at end of file diff --git a/TC/Ćwiczenia/Ćwiczenia.md b/TC/Ćwiczenia/Ćwiczenia.md new file mode 100644 index 0000000..6b0a562 --- /dev/null +++ b/TC/Ćwiczenia/Ćwiczenia.md @@ -0,0 +1,6 @@ +# Ćwiczenia Overview + +```ccard +type: folder_brief_live +``` +