vault backup: 2025-06-07 19:56:31

.obsidian/app.json

@@ -8,5 +8,6 @@
   },
   "alwaysUpdateLinks": true,
   "useMarkdownLinks": true,
-  "promptDelete": false
+  "promptDelete": false,
+  "readableLineLength": false
 }

.obsidian/appearance.json

@@ -3,6 +3,7 @@
   "accentColor": "#efb9fd",
   "theme": "obsidian",
   "enabledCssSnippets": [
-    "dark_pdf"
+    "dark_pdf",
+    "images"
   ]
 }

.obsidian/bookmarks.json

@@ -0,0 +1,10 @@
+{
+  "items": [
+    {
+      "type": "file",
+      "ctime": 1738664322117,
+      "path": "Extracurricular/Misc/Ideas.md",
+      "title": "Ideas"
+    }
+  ]
+}

.obsidian/community-plugins.json

@@ -5,7 +5,6 @@
   "obsidian-icon-folder",
   "obsidian-advanced-slides",
   "obsidian-annotator",
-  "obsidian-markmind",
   "obsidian-wakatime",
   "omnisearch",
   "obsidian-enhancing-export",
@@ -14,5 +13,7 @@
   "obsidian-plugin-toc",
   "emoji-shortcodes",
   "advanced-canvas",
-  "obsidian-tracker"
+  "obsidian-tracker",
+  "better-export-pdf",
+  "obsidian-mind-map"
 ]

.obsidian/core-plugins.json

@@ -26,5 +26,6 @@
   "workspaces": false,
   "file-recovery": true,
   "publish": false,
-  "sync": false
+  "sync": false,
+  "webviewer": false
 }

.obsidian/graph.json

@@ -5,7 +5,7 @@
   "showAttachments": false,
   "hideUnresolved": false,
   "showOrphans": false,
-  "collapse-color-groups": true,
+  "collapse-color-groups": false,
   "colorGroups": [
     {
       "query": "[\"type\":theoretical]",
@@ -38,14 +38,14 @@
   ],
   "collapse-display": false,
   "showArrow": false,
-  "textFadeMultiplier": 0.2,
+  "textFadeMultiplier": -0.4,
-  "nodeSizeMultiplier": 1.22291666666667,
+  "nodeSizeMultiplier": 1.60572916666667,
-  "lineSizeMultiplier": 1.60572916666667,
+  "lineSizeMultiplier": 2.80520833333333,
-  "collapse-forces": true,
+  "collapse-forces": false,
-  "centerStrength": 0.518713248970312,
+  "centerStrength": 0.442708333333333,
-  "repelStrength": 10,
+  "repelStrength": 17.9166666666667,
   "linkStrength": 1,
   "linkDistance": 250,
-  "scale": 0.9999999999999991,
+  "scale": 0.44649054406822863,
   "close": true
 }

.obsidian/plugins/better-export-pdf/data.json

@@ -0,0 +1,29 @@
+{
+  "showTitle": true,
+  "maxLevel": "6",
+  "displayHeader": true,
+  "displayFooter": true,
+  "headerTemplate": "<div style=\"width: 100vw;font-size:10px;text-align:center;\"><span class=\"title\"></span></div>",
+  "footerTemplate": "<div style=\"width: 100vw;font-size:10px;text-align:center;\"><span class=\"pageNumber\"></span> / <span class=\"totalPages\"></span></div>",
+  "printBackground": false,
+  "generateTaggedPDF": false,
+  "displayMetadata": false,
+  "debug": false,
+  "isTimestamp": false,
+  "enabledCss": false,
+  "prevConfig": {
+    "pageSize": "A4",
+    "marginType": "1",
+    "showTitle": true,
+    "open": true,
+    "scale": 100,
+    "landscape": false,
+    "marginTop": "10",
+    "marginBottom": "10",
+    "marginLeft": "10",
+    "marginRight": "10",
+    "displayHeader": true,
+    "displayFooter": true,
+    "cssSnippet": "0"
+  }
+}

.obsidian/plugins/better-export-pdf/manifest.json

@@ -0,0 +1,11 @@
+{
+  "id": "better-export-pdf",
+  "name": "Better Export PDF",
+  "version": "1.10.2",
+  "minAppVersion": "0.15.0",
+  "description": "Export your notes to PDF, support export preview, add bookmarks outline and header/footer.",
+  "author": "l1xnan",
+  "authorUrl": "https://github.com/l1xnan",
+  "fundingUrl": "https://www.buymeacoffee.com/l1xnan",
+  "isDesktopOnly": true
+}

.obsidian/plugins/better-export-pdf/styles.css

@@ -0,0 +1,61 @@
+#better-export-pdf {
+  display: flex;
+  flex-direction: row;
+  height: 75vh;
+}
+
+#better-export-pdf .pdf-preview {
+  flex: auto;
+  position: relative;
+  display: flex;
+  flex-direction: column;
+  overflow-x: hidden;
+  overflow-y: scroll;
+  align-content: flex-start;
+}
+
+#better-export-pdf .pdf-preview .webview-wrapper {
+  position: relative;
+  height: 100%;
+  width: 100%;
+}
+
+#better-export-pdf .pdf-preview .print-size {
+  position: absolute;
+  right: 8px;
+  top: 8px;
+  z-index: 99;
+  font-size: 0.6rem;
+  white-space: pre-wrap;
+  text-align: right;
+  visibility: hidden;
+}
+
+#better-export-pdf .pdf-preview > div {
+  flex: 1;
+  height: 100%;
+  width: 100%;
+}
+
+#better-export-pdf .pdf-preview .filename {
+  font-size: 0.75rem;
+  color: var(--color-base-60);
+}
+#better-export-pdf .pdf-preview .filename:not(:first-child) {
+  padding-top: calc(var(--p-spacing));
+}
+
+#better-export-pdf webview {
+  flex: 1;
+  height: 100%;
+  width: 100%;
+}
+
+#better-export-pdf .setting-wrapper {
+  width: 320px;
+  margin-left: 16px;
+}
+
+#better-export-pdf .setting-wrapper .setting-item[hidden] {
+  display: none;
+}

.obsidian/plugins/obsidian-advanced-slides/data.json

@@ -0,0 +1,21 @@
+{
+  "port": "3000",
+  "autoReload": true,
+  "exportDirectory": "/export",
+  "enableChalkboard": false,
+  "enableOverview": false,
+  "enableMenu": false,
+  "enablePointer": false,
+  "enableTimeBar": false,
+  "theme": "black",
+  "highlightTheme": "zenburn",
+  "transition": "slide",
+  "transitionSpeed": "default",
+  "controls": true,
+  "progress": true,
+  "slideNumber": false,
+  "showGrid": false,
+  "autoComplete": "inPreview",
+  "paneMode": "split",
+  "motm": "2025-04-21T19:43:27.198Z"
+}

.obsidian/plugins/obsidian-enhancing-export/data.json

@@ -0,0 +1,60 @@
+{
+  "items": [
+    {
+      "name": "Markdown"
+    },
+    {
+      "name": "Markdown (Hugo)"
+    },
+    {
+      "name": "Html"
+    },
+    {
+      "name": "TextBundle"
+    },
+    {
+      "name": "Typst"
+    },
+    {
+      "name": "PDF"
+    },
+    {
+      "name": "Word (.docx)"
+    },
+    {
+      "name": "OpenOffice"
+    },
+    {
+      "name": "RTF"
+    },
+    {
+      "name": "Epub"
+    },
+    {
+      "name": "Latex"
+    },
+    {
+      "name": "Media Wiki"
+    },
+    {
+      "name": "reStructuredText"
+    },
+    {
+      "name": "Textile"
+    },
+    {
+      "name": "OPML"
+    },
+    {
+      "name": "Bibliography"
+    }
+  ],
+  "defaultExportDirectoryMode": "Auto",
+  "openExportedFile": true,
+  "env": {},
+  "showExportProgressBar": true,
+  "lastExportDirectory": {
+    "linux": "/home/boyan/Documents"
+  },
+  "lastExportType": "PDF"
+}

.obsidian/plugins/obsidian-icon-folder/data.json

@@ -6,11 +6,11 @@
     "emojiStyle": "native",
     "iconColor": null,
     "recentlyUsedIcons": [
-      "LiSatellite",
+      "LiInfo",
-      "LiBookOpenCheck",
+      "🤖",
-      "📖",
+      "🖥",
-      "📊",
+      "LiComputer",
-      "LiCodeSquare"
+      "LiSatellite"
     ],
     "recentlyUsedIconsSize": 5,
     "rules": [],
@@ -84,5 +84,12 @@
     "iconName": "LiBookOpenCheck",
     "iconColor": "#ffbb00"
   },
-  "Extracurricular/satQuest": "LiSatellite"
+  "Extracurricular/satQuest": "LiSatellite",
+  "Software Engineering": {
+    "iconName": "LiComputer",
+    "iconColor": "#3df2ff"
+  },
+  "Operating Systems": "🖥",
+  "Introduction to Machine Learning": "🤖",
+  "Introduction to Machine Learning/Introductory lecture.md": "LiInfo"
 }

.obsidian/plugins/obsidian-markmind/data.json

@@ -1,18 +0,0 @@
-{
-  "canvasSize": 8000,
-  "headLevel": 2,
-  "fontSize": 16,
-  "background": "transparent",
-  "layout": "mindmap",
-  "layoutDirect": "mindmap",
-  "protocol": "jump-to-pdf",
-  "registerPdfEvent": true,
-  "viewerTheme": 2,
-  "mindmapmode": "basic",
-  "parseMindMap": true,
-  "annotateTop": 0,
-  "annotateBottom": 0,
-  "useCustomShortcut": false,
-  "highlightFormat": "\nPage:{{page}}\n<span style=\"color:rgb({{color}})\">■</span>:{{highlightText}}\nComment:{{comment}}\n[📌]({{link}})\n^{{id}}\n",
-  "uid": "00p01100q00t01300o01300r01300t01200o013"
-}

.obsidian/plugins/obsidian-markmind/manifest.json

@@ -1,10 +0,0 @@
-{
-	"id": "obsidian-markmind",
-	"name": "Markmind",
-	"version": "3.0.2",
-	"minAppVersion": "0.9.12",
-	"description": "This is a mindmap , outline tool for obsidian.",
-	"author": "Mark",
-	"authorUrl": "https://github.com/MarkMindCkm/obsidian-markmind",
-	"isDesktopOnly": false
-}

.obsidian/plugins/obsidian-mind-map/manifest.json

@@ -0,0 +1,8 @@
+{
+  "id": "obsidian-mind-map",
+  "name": "Mind Map",
+  "version": "1.1.0",
+  "description": "A plugin to preview notes as Markmap mind maps",
+  "isDesktopOnly": false,
+  "js": "main.js"
+}

.obsidian/snippets/images.css

@@ -0,0 +1,9 @@
+img {
+    display: block;
+    margin-left: auto;
+    margin-right: auto;
+    max-width:500px;
+}
+div.mermaid {
+    text-align: center;
+}

.obsidian/types.json

@@ -22,6 +22,8 @@
     "excalidraw-css": "text",
     "excalidraw-autoexport": "text",
     "excalidraw-embeddable-theme": "text",
-    "excalidraw-open-md": "checkbox"
+    "excalidraw-open-md": "checkbox",
+    "backlinks": "multitext",
+    "mermaid": "multitext"
   }
 }

.obsidian/workspace.json

@@ -4,35 +4,38 @@
     "type": "split",
     "children": [
       {
-        "id": "91b1494cd808f86c",
+        "id": "31174fbd9a68be49",
         "type": "tabs",
         "children": [
           {
-            "id": "cd8e3009ae40c051",
+            "id": "f9fe04cad473d20c",
             "type": "leaf",
             "state": {
               "type": "markdown",
               "state": {
-                "file": "Extracurricular/satQuest/Meeting Dec 18.md",
+                "file": "Operating Systems/Mass Storage.md",
                 "mode": "source",
                 "source": false
               },
               "icon": "lucide-file",
-              "title": "Meeting Dec 18"
+              "title": "Mass Storage"
             }
           },
           {
-            "id": "3dbe2cc922c4bee2",
+            "id": "5e5f715713d29cb8",
             "type": "leaf",
             "state": {
-              "type": "markdown",
+              "type": "canvas",
               "state": {
-                "file": "Statistics and Probability/Support Lecture.md",
+                "file": "Extracurricular/Plag/Untitled.canvas",
-                "mode": "source",
+                "viewState": {
-                "source": false
+                  "x": -354.95061823931576,
+                  "y": 2689.4480955935114,
+                  "zoom": 0.7529071380352278
+                }
               },
-              "icon": "lucide-file",
+              "icon": "lucide-layout-dashboard",
-              "title": "Support Lecture"
+              "title": "Untitled"
             }
           }
         ],
@@ -55,7 +58,8 @@
             "state": {
               "type": "file-explorer",
               "state": {
-                "sortOrder": "alphabetical"
+                "sortOrder": "alphabetical",
+                "autoReveal": false
               },
               "icon": "lucide-folder-closed",
               "title": "Files"
@@ -92,8 +96,7 @@
       }
     ],
     "direction": "horizontal",
-    "width": 234.5,
+    "width": 234.5
-    "collapsed": true
   },
   "right": {
     "id": "fd4347e6b5300816",
@@ -196,8 +199,7 @@
       }
     ],
     "direction": "horizontal",
-    "width": 200,
+    "width": 200
-    "collapsed": true
   },
   "left-ribbon": {
     "hiddenItems": {
@@ -214,61 +216,61 @@
       "omnisearch:Omnisearch": false
     }
   },
-  "active": "3dbe2cc922c4bee2",
+  "active": "5e5f715713d29cb8",
   "lastOpenFiles": [
-    "Pasted image 20250113151159.png",
+    "Operating Systems/Mass Storage.md",
-    "Extracurricular/Misc/Ideas.md",
+    "Extracurricular/Plag/Untitled.canvas",
-    "Statistics and Probability/Support Lecture.md",
+    "Extracurricular/Plag/AI Checker.md",
-    "Functional Programming/Drawing 2024-12-24 17.52.22.excalidraw.md",
+    "Extracurricular/Plag",
-    "Extracurricular/satQuest/Meeting Dec 18.md",
+    "Extracurricular/AI Checker.md",
-    "Extracurricular/satQuest/img/Pasted image 20241218122110.png",
+    "Operating Systems/Memory Management.md",
-    "Excalidraw/Drawing 2024-12-11 23.27.51.excalidraw.md",
+    "Operating Systems/File Systems Management.md",
-    "Discrete Structures/Midterm/attempt 2.md",
+    "Operating Systems/Virtual Memory.md",
-    "Discrete Structures/Recurrence relations.md",
+    "Operating Systems/Virtualization.md",
-    "Discrete Structures/Midterm/attempt 1.md",
+    "Operating Systems/assets/Pasted image 20250505205120.png",
-    "Discrete Structures/Counting.md",
+    "Operating Systems/assets/Pasted image 20250505203114.png",
-    "Discrete Structures/Midterm/Untitled.md",
+    "Operating Systems/assets/Pasted image 20250505202532.png",
-    "Discrete Structures/Midterm/Midterm prep.md",
+    "Operating Systems/assets/Pasted image 20250505201950.png",
-    "Discrete Structures/Midterm",
+    "Operating Systems/assets/Pasted image 20250505201859.png",
-    "Extracurricular/satQuest/img/Pasted image 20241206134156.png",
+    "Operating Systems/Input Output.md",
-    "Extracurricular/satQuest/Parts Proposal.md",
+    "Operating Systems/Inter-Process Communication.md",
-    "Untitled.md",
+    "README.md",
+    "Operating Systems/assets/Pasted image 20250505195901.png",
+    "Operating Systems/assets/Pasted image 20250505201102.png",
+    "Operating Systems/assets/Pasted image 20250505200548.png",
+    "Operating Systems/assets/Pasted image 20250505200028.png",
+    "Operating Systems/assets/Pasted image 20250505194426.png",
+    "Operating Systems/Processes and Threads.md",
+    "Operating Systems/Scheduling.md",
+    "Operating Systems/Overview.md",
     "Untitled.canvas",
+    "Discrete Structures/Midterm/attempt 2.md",
     "Discrete Structures/Mathematical Data Structures.md",
-    "Discrete Structures/Relations and Digraphs.md",
+    "unicef.org.md",
-    "Discrete Structures/Mathematical Proofs (Induction).md",
-    "Advanced Algorithms/Graphs.md",
-    "Advanced Algorithms/P vs. NP.md",
-    "Advanced Algorithms/Pasted image 20241203234600.png",
-    "Excalidraw",
-    "Extracurricular/satQuest/Initial Meeting.md",
-    "Extracurricular/satQuest/img/Pasted image 20241206134213.png",
-    "Extracurricular/satQuest/img/Pasted image 20241206134207.png",
-    "Extracurricular/satQuest/img/Pasted image 20241206133007.png",
-    "Extracurricular/satQuest/img",
-    "Advanced Algorithms/Recurrence relations.md",
-    "Advanced Algorithms/Graph Algorithms.md",
     "Linear Algebra/Matrices.md",
-    "Advanced Programming/Intro.md",
+    "Languages & Machines/Regular languages.md",
-    "Advanced Programming/Annotation Repository.md",
+    "Extracurricular/Circuitree/Shitter Zero/Timeline.md",
-    "Advanced Programming/projects/API Design Research.md",
+    "Extracurricular/Circuitree/Shitter Zero",
-    "Advanced Algorithms/assets/pnp/Pasted image 20241203234013.png",
+    "Discrete Structures/Mathematical Proofs (Induction).md",
-    "Advanced Algorithms/assets/pnp/Pasted image 20241203234032.png",
+    "Discrete Structures/Recurrence relations.md",
-    "Advanced Algorithms/assets/graph/1_WR4AtjT_nhwSOtAW99Yd5g.gif",
+    "Discrete Structures/Relations and Digraphs.md",
-    "Advanced Algorithms/assets/pnp/Pasted image 20241203233926.png",
+    "Discrete Structures/Counting.md",
-    "Advanced Algorithms/assets/pnp",
+    "Software Engineering/Meeting.md",
-    "Advanced Algorithms/assets/graph",
+    "Software Engineering/Reqirements.md",
-    "Advanced Algorithms/practicals",
+    "Languages & Machines/assets",
-    "Statistics and Probability/R",
+    "Languages & Machines",
-    "Discrete Structures/img",
+    "Extracurricular/Misc/Proposed Routine Plan.canvas",
-    "Algorithmic Programming Contests",
+    "Extracurricular/Circuitree/Antenna Building/Untitled",
-    "Functional Programming/assets",
+    "Extracurricular/Circuitree/Antenna Building",
+    "Software Engineering",
+    "Operating Systems/assets",
+    "Operating Systems",
+    "Introduction to Machine Learning/assets",
     "Web Engineering/canvae/server_client.canvas",
     "Advanced Programming/projects/second/Refactoring.canvas",
     "Advanced Programming/assets/assignment/assignment_organization.canvas",
     "Advanced Programming/assets/spring/Beans.canvas",
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 }

Discrete Structures/Mathematical Proofs (Induction).md

@@ -89,6 +89,8 @@ To prove $P$:
 
 ## Mathematical Induction
 [^2]
+Generalized in [Proofs (FP)](Proofs.md)
+
 
 ![induction](induction.png)
 

Extracurricular/Circuitree/Antenna Building/Idea and proposed timeline.md

@@ -0,0 +1,18 @@
+
+```mermaid
+sequenceDiagram
+   Prototype ->> Order: Meeting with everyone
+   Order ->> Prepare: Not everyone has to be present
+```
+
+
+
+## Next week
+- Early, need to organize a meeting to build the antenna
+- Purchase the materials right after
+- Schedule the event
+
+
+
+## All times
+- Create slides

Extracurricular/Circuitree/Shitter Zero/Timeline.md

@@ -0,0 +1,94 @@
+---
+theme: beige
+highlightTheme: css/vs2015.css
+
+---
+
+<div style="width:100%; transform:scale(1.1)">
+
+```mermaid
+sequenceDiagram
+   Prototyping ->> Order: We need to come up with a working prototype by next week
+   Order ->> Code: ITM - decide the scope (more or less)
+   Order ->> Design: Case? No case?
+   Design ->> Presentation: Slides
+```
+
+</div>
+
+---
+
+## Heads up!
+we got two fucking weeks
+
+
+---
+
+## Features
+
+| Part                                       | Function       |
+| ------------------------------------------ | -------------- |
+| NFC/RFID transceiver                       | Copying cards  |
+| 433 MHz transceiver                        | Replay attacks |
+| HID (RP2040 and **ESP32-C3** support this) | Rubber ducky   |
+==NOTE THAT ESP32 BASIC DOESN'T==
+
+---
+### Anything else come to mind?<sup>*</sup>
+<sub>* Keep in mind that we have 2 fucking weeks</sub> 
+
+---
+### RP2040
+
+- We can reuse the macro pad schematic!
+- Seems like a little bit of an advanced project for it, might be slow
+
+### ESP32
+
+- We can do network stuff!
+- Doesn't seem much more difficult than the RP2040.
+
+
+---
+## Design
+
+ - Screen (we got 50)
+ - MCU
+- Antenna (used by both the NFC and 433Mhz tranceivers)
+- The transceivers
+
+Terminated by a male USB-A
+
+### Should we include a case?
+This question is mostly for Mihai as it involves him designing it.
+
+
+---
+<div style="width:100%;">
+
+<img src="shitter.png" />
+
+</div>
+---
+## Code
+Let's discuss a potential scope for the project!
+- Do we **only** provide bindings for the sensors?
+- Will the attendees be building anything? If yes, **what**?
+- C? Micropython?
+
+
+---
+
+## Let's distribute!
+If we want to achieve *anything* given the short timeframe[^1], we're gonna need to copy the GAPC model. 
+
+**GitHub issues!**
+
+
+
+<small> 1 (CircuitRee trademarked statement) </small>
+
+
+---
+
+# We got this!

Extracurricular/FCG/Meeting - BAPC.md

@@ -1,7 +0,0 @@
-
-## Prelims
-No fancy shit
-
-
-
-## BAPC

Extracurricular/FCG/Meeting 06-09.md

@@ -1,3 +0,0 @@
-
-
-### Tasks

Extracurricular/Misc/Ideas.md

@@ -1,2 +1,5 @@
 1. Anti-AI extension -> Data -> Bachelor's thesis 
-2. Temmies calendar integration (background ical service)
+2. Writing (come on dude, start already)
+3. Temmies calendar integration (background ical service)
+4. o.pm bangle.js reboot: Backend in Rust, frontend grafana?
+5. Markdown parser in Haskell

Extracurricular/Misc/Proposed Routine Plan.canvas

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-		{"id":"163ca037f71a0b6f","type":"group","x":-320,"y":115,"width":838,"height":865,"color":"4","label":"Health"},
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+      "id": "163ca037f71a0b6f",
-		{"id":"5159e3993f95efcb","type":"text","text":"Avoid bad habits (3)","x":-138,"y":135,"width":183,"height":60},
+      "type": "group",
-		{"id":"3b1083b1e372d498","type":"text","text":"Reading (4, 7)","x":42,"y":417,"width":170,"height":60},
+      "styleAttributes": {},
-		{"id":"f897f4ba690283db","type":"text","text":"Sleep Schedule Improvement  (1)","x":-189,"y":600,"width":295,"height":50},
+      "x": -320,
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+      "label": "Health"
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+    },
-		{"id":"6dc127fe4098cce8","type":"text","text":"Enjoy hobbies during day (5)","x":256,"y":417,"width":242,"height":60},
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 }

Functional Programming/Drawing 2024-12-24 17.52.22.excalidraw.md

@@ -1,595 +0,0 @@
----
-
-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
-%%
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-```
-%%

Functional Programming/Eq and Num.md

@@ -0,0 +1,50 @@
+```haskell
+add :: (Int -> Int) -> Int
+add x y = x+y
+
+instance Eq Bool where
+    True == True = True
+    False == False = True
+    _ == _ = False
+
+instance (Eq a, Eq b) => Eq (a, b) where
+    (x1, y1) == (x2, y2) = x1 == x2 && y1 == y2
+
+-- A value that exists
+myValue :: Maybe Int
+myValue = Just 42
+
+-- A value that doesn't exist
+noValue :: Maybe Int
+noValue = Nothing
+
+
+```
+
+
+```python
+
+class Number:
+	# Some implementation
+
+class Float(Number):
+	# Some implentation
+
+class Integer(Number):
+	# Some implementation
+
+
+def add(numA:Number, numB:Number) -> Number:
+	
+```
+
+
+```python
+
+class MyClass:
+	def __eq__(self):
+		# MyClass :: Eq
+    def __str__(self)
+	    # MyClass :: Show
+	def __
+```

Functional Programming/Proofs.md

@@ -0,0 +1,81 @@
+---
+title: Understanding Induction
+abstract: I am fucking stupid and I can't understand this
+author: 
+type: theoretical
+---
+
+## Understanding Induction
+
+There are a few assumptions to be made when performing induction proofs (in general):
+- There is *some* non-decreasing property about the category we're observing (i.e. difference between elements in a sequence, length of a list, height of a tree)
+- The structure needs to be *well-defined*[^1]
+
+And then we move on to the mechanism for proofs itself:
+1. Induction Base Case: The base case(s) must be **sufficient** to cover all minimal or simplest cases of the structure. 
+   For instance, when proving properties of lists, we often start by showing the property holds for the empty list. 
+
+2. Inductive Hypothesis: We assume that the property we're trying to prove holds for an arbitrary case. It must explicitly account for all necessary assumptions about the intermediate state of the structure.
+
+3. Inductive Step: To establish the general inductive step, we should demonstrate that if the property holds for a given category (the induction hypothesis), it also holds for the next element (based on the non-decreasing property mentioned earlier).
+
+We should be able to guarantee termination and avoid ambiguity in the process.
+
+## Induction in Haskell
+Given Haskell's [purity](Introduction%20to%20Functional%20Programming.md), we can perform induction proofs on most of its structure.
+
+The non-decreasing property is defined by the data structure (`data` keyword) and/or the logic we have implemented (i.e. natural numbers - n > n-1 > 0, lists -> length, tree -> height).
+
+We then proceed with the process mentioned above, although slightly altered as to fit the data structure category:
+- **BC**: We must first establish a base case, which is a minimal instance of the structure that satisfies the property being proven. For example, this could be an empty list, a single element, or a tree with only one node. The base case must be simple enough to verify directly.
+
+- **IH**: Assume that the property holds for some arbitrary but fixed instance of the structure. This is often referred to as the **induction step assumption**, where you posit[^2] that the property is valid for a smaller or simpler instance of the structure.
+
+- **IS**: Using the inductive hypothesis, prove that the property holds for a larger or more complex instance of the structure. 
+  
+For example, if the property holds for a list of length $n$, you need to show it holds for a list of length $n+1$. Similarly, for a tree of height $h$, show it holds for a tree of height $h+1$. This step bridges the smaller case to the larger one.
+
+
+
+For example, when proving that reversing twice returns the original list, we can use mathematical induction:
+
+1. **Base Case**: We need to show the property holds for the empty list (`[]`). Here, it's clear that `reverseList [] = []` and `reverseList (reverseList [])` is also `[]` since `reverseList` appends elements to the left `(++)`, and an empty list cannot be appended to anything.
+
+2. **Inductive Step**: Suppose the property holds for a given non-empty list `x:xs` (induction hypothesis). To prove it holds for the longer list xs (`x:xs`), we apply `reverseList` and use the defined function properties as follows:
+   ```haskell
+   -- Induction Hypothesis (property holds for xs)
+   prop_reverseTwice xs =>
+
+   -- Show that property also holds for x:xs (inductive step)
+   prop_reverseTwice (reverseList x:xs) =
+   -- Break down the list using reverseList and pattern matching
+   prop_reverseTwice ((reverseList xs) ++ [x]) =
+   -- Use the definition of concatenation, reverse, and the induction hypothesis
+   prop_reverseTwice (xs ++ reverseList [] ++ [x]) =
+   -- Use the fact that concatenating an empty list with any other list returns the original list.
+   prop_reverseTwice (xs ++ [x]) =
+   -- The property holds for xs by our induction hypothesis
+   True
+   ```
+By showing the base case and inductive step, we have successfully proven that `reverseList` reverses lists twice, returning the original list.
+
+
+### TL;DR
+1. Base case - empty list or tree
+2. Inductive hypothesis - assume it works for an arbitrary list `xs` or tree (i.e.)
+```haskell
+data Tree a = Empty                  -- A tree can be empty
+            | Node a (Tree a) (Tree a) -- Or a node with a value and two
+            deriving (Show, Eq)
+            
+-- when a Tree a is Empty
+
+```
+   
+3. Inductive Step - show that it works for a larger list `x:xs` or a non-empty tree
+   
+This process involves knowing *some* implementation details of higher-order functions (or at least a vague idea as to how they work).
+
+
+[^1]: Clear rules as to how it's constructed
+[^2]: to propose as an explanation **:** [suggest](https://www.merriam-webster.com/dictionary/suggest)

Introduction to Machine Learning/Introductory lecture.md

@@ -0,0 +1,220 @@
+---
+type: theoretical
+---
+
+## We're gonna be doing
+- General intro
+- Unsupervised learning
+- Supervised learning
+
+
+
+### Philosophical Introduction
+- What is intelligence?
+- Can machines **ever** be intelligent?
+
+
+### Intelligent systems
+a system that can:
+
+- Perceive
+Interaction with the environment. e.g. computer vision, speech recognition
+
+- Make decisions 
+process incoming information, analyze it, and make decisions based on it.
+e.g. self-driving cars, game playing
+
+- Learn
+improve performance over time, i.e. data driven adaptation based on observations *only* (for unsupervised learning) or based on observations and feedback (for supervised learning)
+
+## Relevant Mathematical Notation
+
+Models are noted as $m = \gamma (D)$, where $D$ is the data and $\gamma$ is the model.
+
+Example - a model that predicts the price of a house based on its size and location:
+
+$m = \gamma ( \beta_0 + \beta_1 x_1 + \beta_2 x_2)$ 
+
+where $x_1$ is the size of the house and $x_2$ is the location of the house.
+
+## Unsupervised learning
+
+- Compression
+Represent all the data in a more compact form (few features)
+
+- Clustering
+Identify groups of similar data points
+
+- Reduction
+Reduce the dimensionality of the data, i.e. represent large amount of data by few prototypes[^1]
+
+The above aims define a **cost function** or optimization strategy, which is used to teach the machine to learn, but thee is no feedback from the environment. (hence **un**supervised learning).
+
+Example:
+
+Consider a dataset of images of cats and dogs. We can use unsupervised learning to identify the features that are common to all cats and all dogs. This can be used to classify new images of cats and dogs.
+
+
+## Supervised learning
+*Classification/Regression*
+
+Data: observations, e.g. images, text, etc. and labels, e.g. cat/dog, spam/not spam, etc.
+
+Regression problems:
+- Predict quantitative values, e.g. house prices, stock prices, etc.
+
+e.g. predict the weight of a cow based on its size:
+
+$m = \gamma ( \beta_0 + \beta_1 x_1)$
+
+where $x_1$ is the size of the cow.
+
+
+
+Classification problems:
+- Predict qualitative values, e.g. cat/dog, spam/not spam, etc.
+- Binary classification: two classes
+- Multi-class classification: more than two classes
+
+
+> [!IMPORTANT]
+> It is crucial to find the right features to represent the data. The model is only as good as the features used to represent the data.
+
+
+### Some issues
+- Complexity of the model
+- Parametrization[^2] of a hypothesis 
+- Noise in the dataset
+
+## Other forms of learning
+
+- Semi-supervised learning, self-supervised learning
+
+Partially labeled data, e.g. some images are labeled, some are not. Extend by making predictions on the unlabeled data and using the predictions to improve the model.
+
+- Reinforcement learning
+Delayed reward (feedback) from the environment. e.g. game playing, robotics, etc.
+
+- Transfer learning, few-shot learning, single-shot learning
+
+Use knowledge from one task to improve performance on another task. e.g. use knowledge from a large dataset to improve performance on a smaller dataset.
+
+
+## Deeper look of reinforcement learning
+
+There's a reward signal evaluating the outcome of past actions.
+
+Problems involving an agent[^3], an environment, and a reward signal.
+
+The goal is to learn a policy that maximizes the reward signal.
+
+```mermaid
+
+graph TD
+    A[Agent] --> B[Environment]
+    B --> C[Reward signal]
+    C --> A
+
+```
+
+### Mathematical Formulation
+
+[Markov Decision Process](https://en.wikipedia.org/wiki/Markov_decision_process)[^5] (MDP) is a mathematical framework for modeling decision-making in situations where outcomes are partly random and partly under the control of a decision maker.
+
+An MDP consists of:
+
+- A set of states $S$
+- A set of actions $A$
+- A reward function $R$
+- A transition function $P$
+- A discount factor $\gamma$
+
+It can be represented as a tuple $(S, A, R, P, \gamma)$.
+Or a graph:
+
+```mermaid
+graph TD
+    A[States] --> B[Actions]
+    B --> C[Reward function]
+    C --> D[Transition function]
+    D --> E[Discount factor]
+```
+
+The process itself can be represented as a sequence of states, actions, and rewards:
+
+$(s_0, a_0, r_0, s_1, a_1, r_1, s_2, a_2, r_2, \ldots)$
+
+The goal is to learn a policy $\pi$ that maps states to actions, i.e. $\pi(s) = a$.
+
+The policy can be deterministic or stochastic[^4].
+
+
+1. At time step $t=0$, the agent observes the current state $s_0$.
+2. For $t=0$ until end:
+   - The agent selects an action $a_t$ based on the policy $\pi$.
+   - Environment grants reward $r_t$ and transitions to the next state $s_{t+1}$.
+   - Agent updates its policy based on the reward and the next state.
+
+
+To summarize:
+
+$$
+G_t = \Sigma_{t\geq 0}y^t r_t = r_t + \gamma r_{t+1} + \gamma^2 r_{t+2} + \ldots
+$$
+
+where $G_t$ is the return at time step $t$, $r_t$ is the reward at time step $t$, and $\gamma$ is the discount factor. 
+
+
+## The value function
+
+The value function $V(s)$ is the expected return starting from state $s$ and following policy $\pi$.
+
+$$
+V_\pi(s) = \mathbb{E}_\pi(G_t | s_t = s)
+$$
+
+Similarly, the action-value function $Q(s, a)$ is the expected return starting from state $s$, taking action $a$, and following policy $\pi$.
+
+$$
+Q_\pi(s, a) = \mathbb{E}_\pi(G_t | s_t = s, a_t = a)
+$$
+
+### Bellman equation
+
+Like Richard Bellman from the [Graph Algorithms](Graph%20Algorithms.md).
+
+States that the value of a state is the reward for that state plus the value of the next state.
+
+$$
+V_\pi(s) = \mathbb{E}_\pi(r_{t+1} + \gamma V_\pi(s_{t+1}) | s_t = s)
+$$
+
+
+## Q-learning
+Something makes me feel like this will be in the exam.
+
+The goal of Q-learning is to find the optimal policy by learning the optimal Q-values for each state-action pair.
+
+What's a Q-value? It's the expected return starting from state $s$, taking action $a$, and following policy $\pi$.
+
+$$
+Q^*(s, a) = \max_\pi Q_\pi(s, a)
+$$
+
+The optimal Q-value $Q^*(s, a)$ is the maximum Q-value for state $s$ and action $a$. The algorithm iteratively updates the Q-values based on the Bellman equation. This is called **value iteration**.
+
+## Conclusion
+As with every other fucking course that deals with graphs in any way shape or form, we have to deal with A FUCK TON of hard-to-read notation <3.
+
+![Comparison](assets/image.png)
+
+[^1]: Prototypes in this context means a representative sample of the data. For example, if we have a dataset of images of cats and dogs, we can represent the dataset by a few images of cats and dogs that are representative of the whole dataset.
+
+[^2]: Parametrization is the process of defining a model in terms of its parameters. For example, in the model $m = \gamma ( \beta_0 + \beta_1 x_1)$, $\beta_0$ and $\beta_1$ are the parameters of the model.
+
+
+[^3]: An agent is an entity that interacts with the environment. For example, a self-driving car is an agent that interacts with the environment (the road, other cars, etc.) to achieve a goal (e.g. reach a destination).
+
+[^4]: A deterministic policy maps each state to a single action, while a stochastic policy maps each state to a probability distribution over actions. For example, a deterministic policy might map state $s$ to action $a$, while a stochastic policy might map state $s$ to a probability distribution over actions.
+
+[^5]:https://en.wikipedia.org/wiki/Markov_chain

Languages & Machines/Introduction.md

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+---
+type: theoretical
+ty:
+---
+
+## The foundations of computation
+Looking for answers for basic questions like:
+- Computability?
+- Power $\leftrightarrow$ Programming constructs?
+
+Which leads us to fundamental concepts like:
+- State
+- Transitions
+- Non-determinism
+- Undecideability
+
+
+## Models
+### Finite memory
+Finite automata, regexp
+![](Pasted%20image%2020250414190100.png)
+### Finite memory with stack
+Push down automata
+![](Pasted%20image%2020250414190119.png)
+### Unrestricted
+Turing machines
+
+![](Pasted%20image%2020250414190144.png)
+
+
+
+## Grammars
+
+![](Pasted%20image%2020250414190229.png)
+
+
+On a higher level, it seems like grammars and machines are very different, but parsing a language (a set of strings) is quite similar to computation.
+
+## State-based systems and glossary
+An FSM can be a specification for OOP.
+
+- States ($q_0,\ldots, q_n$)
+- Transitions ($a,b,c,\ldots,z$)
+- We can interpret the transitions as class methods and specify the sequences of allowed invocations - **typestate**
+
+
+
+## Notation
+- $x \in X, X\subseteq Y$
+- $\forall x \in X: P(x), \exists x \in X: P(x)$
+- $R \subseteq X \times Y$ is a relation between $X$ and $Y$
+- $xRy \equiv (x,y) \in R$ 
+- $G = (V, E)$, where $E \subseteq V\times V$ is a directed graph
+
+Part of [Relations and Digraphs](Relations%20and%20Digraphs.md)

Languages & Machines/Regular languages.md

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+---
+type: math
+---
+## Induction
+Similar (if not the same) to:
+- [Mathematical Proofs (Induction)](Mathematical%20Proofs%20(Induction).md)
+- [Structural Proofs](Proofs.md)
+
+
+- Base case $0\in \mathbb{N}$
+- Inductive step - if $n\in \mathbb{N} \implies n+1\in \mathbb{N}$
+- We allow a finite number of steps
+
+
+I.e.
+Given $f (n) = n(n + 1)$ for all $n\in N$, then $f (n)$ is even.
+
+**Base case:** $f(0) = 0\times 1 = 0$, which is even
+**I.S.:**
+$$
+f(n+1) = (n+1)(n+2)= n(n+1)+2(n+1) = f(n) + 2(n+1) \blacksquare
+$$
+
+## Strings and Languages
+Literally the same as [Mathematical Data Structures](Mathematical%20Data%20Structures.md), but on strings
+
+How to define the reversal of a string, inductively?
+
+
+Let $w$ be a finite string. We define $w^R$ by induction on $|w|$:
+
+**B.C.:**
+$|w| = 0$, then, trivially, $w = \epsilon \therefore w^R = \epsilon$
+
+**I.S.:**
+$|w| = n \geq 1$, so $w = u a$ with $|u| = n-1$,
+
+
+## Operations on strings
+- Concatenation (associative)
+- Substring, prefix, suffix
+- Replication (exponentiation): a string concatenated with itself
+- Reversal ($u^R$)
+
+## Operations on languages
+- Lifting operations on strings to languages
+- Concatenation of languages
+- Kleene star - $V^*$ -> smallest superset[^1] of V that contains the empty string and is closed under concatenation, i.e. one or more repetitions
+- Reversal
+
+## Regular sets / languages
+This used to be in DS, but I don't have it in this repo.
+
+Recursively defined over an alphabet $\Sigma$ from 
+- $\emptyset$
+- $\{\epsilon\}$
+- $\{a\} | \forall a \in \Sigma$
+
+Regex is  a notatio nto denote regular languages, i.e.:
+
+[^1]: The opposite of a subset - a set which contains all elements of another (and possibly more)

Operating Systems/File Systems Management.md

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+---
+type: theoretical
+backlinks:
+  - "[[Memory Management]]"
+---
+
+
+A file system consists of two parts
+- Collection of files
+- A directory structure -> provides information about all files in the system
+
+## File
+- Logical view -> the unit of storing data
+Files are mapped by the OS onto physical nonvolatile devices
+
+**Types:**
+- Data
+	- Numeric
+	- Character
+	- Binary
+- Program
+
+
+**Attributes**:
+- Name
+- Identifier (unique number)
+- Type[^2]
+- Location -> pointer
+- Size
+- Protection (permissions)
+- Datetime and user id
+All of these are stored in **i-nodes**.
+
+
+### INodes
+- Size in biytes
+- Access permissions
+- Type
+- Creation and last access datetime
+- Owner ID
+- Group ID
+- Hard link count
+### Logical Definition
+- Named collection of related information
+- Files may have free form (text files) or can be rigidly formatted[^1]
+
+### Operations
+- Create
+- Write
+- Read
+- Seek (reposition within file)
+- Delete
+- Truncate - shorten or cut off by removing data from the end
+- Open (load to memory)
+- Close (unload)
+
+### Open files
+Tracked by an **open-file table**, counted by **file-open count**.
+
+In order to [avoid race conditions](Inter-Process%20Communication.md#Avoiding%20race%20conditions), we need to lock the files somehow.
+- **Shared lock** -> several processes can acquire concurrently, used for reads
+- **Exclusive lock** -> writer lock
+- Mandatory vs. advisory -> access is denied depending on locks held and requested vs. processes can find status of locks and decide what to do
+
+
+### Structure
+Could be many:
+- None
+- Simple record
+	- Lines
+	- Fixed length
+	- Variable length
+- Complex
+	- Formatted document
+	- Relocatable load file [^3]
+
+
+## Directories
+Collection of nodes containing information about all files. Also resides on disk.
+
+**Operations**:
+- Search for a file
+- Create a file
+- Delete a file
+- List a directory
+- Rename a file
+- Traverse file system
+
+### Single level directory
+A single directory for all users.
+
+Clearly, we need unique names, which can become a problem real fast. That shit is gonna grow super big.
+
+### Two-level directory
+Users have different directories. In Linux -> `/home/user` is separate, allowing for the same file names. Linux, however, uses a multi-level:
+
+### Tree-Structured Directories
+- Efficient searching
+- Grouping
+- Absolute v. relative path
+
+### Acyclic-Graph
+Have shared subdirectories and files. Symlinks achieve this.
+
+### Structure
+In Linux, it is a table (a file) which stores:
+- File name
+- Inode
+
+
+## Symlinks
+**Hard** vs **Soft**. Hard is a literal copy of the file but keep the same inode info, while soft is just a pointer.
+
+>[!IMPORTANT]
+>We only allow links to files to avoid cycles Every time a new link is added we also use a cycle detection algorithm to determine whether it is OK
+## Disk
+Can be subdivided into **partitions**.
+
+Disk/partition can be used **raw** (no file system) or can be **formatted**. The entity containing the file system is known as a volume.
+
+> [!NOTE]- Typical fs organization
+> ![](Pasted%20image%2020250505144352.png)
+
+
+### Layout
+![](Pasted%20image%2020250505155546.png)
+
+
+- **Boot block**
+	- Contains initial bootstrap program to load the OS
+	- Typically the first sector reads another program from the next few sectors
+- **Super block** - state of the file system
+	- Type -> ext3,ext4,FAT, etc.
+	- Size -> Number of blocks
+	- Block size
+	- Block group information -> number of block groups in file system
+	- Free block count
+	- Free inode count
+	- Inode size
+	- FS mount info
+	- Journal info
+
+### Free space management
+Unix uses a bitmap to show free disk blocks. Zero=free, one=in use
+## Access lists and groups
+Read, write and execute.
+Three classes of users on Linux
+1. Owner -> 7 (Read Write Execute)
+2. Group -> 6 (RW)
+3. Public  -> 1 (X)
+ 
+
+## Blocks
+The IDs of data blocks are stored in [INodes](File%20Systems%20Management.md#INodes), the IDs of the first 12 blocks are stored in direct reference fields.
+
+![](Pasted%20image%2020250505154746.png)
+
+
+
+### Allocation
+- Contiguous -> Stored in a single block
+- Linked Allocation -> blocks contain a pointer to the next one (slower access)
+- Indexed -> Each file has an index block that stores pointers to all its data blocks
+
+
+### Groups
+Subdivision of the entire disk or partition
+Has:
+- A block bitmap
+- An inode bitmap
+- An inode table holding the actual inodes
+
+> [!INFO]
+> Default block group size in ext4 is 128MB
+
+## Journaling
+Ensure the integrity of the file system by keeping track of changes before they are actually applied to the main file system
+
+Phases:
+- Write-ahead logging  -> before any changes are made to the file system
+- Commit -> shit actually happens
+- Crash recovery -> we can replay the journal to apply any uncommitted changes
+
+Types:
+- Write-Ahead Logging (WAL) -> logs changes before they are applied to the file system 
+- Metadata journaling -> only metadata is logged. Metadata is restored to a consistent state if crash.
+- Full journaling -> both
+
+
+## Example: EXT4
+- Journaling
+- Larger file and volume sizes
+- Extents -> range of contiguous blocks, reduces fragmentation
+- Multiblock allocator -> multiple blocks at once
+- `fsck`, optimized file system check
+- Pre-allocation
+- Checksums -> ensure integrity
+
+## Example: Windows FS
+### FAT(32)
+File allocation table.
+
+No hard links :C. Directory contains:
+- File name -> can be up to 8 characters and extension up to 3
+- Attributes (one byte)
+![](Pasted%20image%2020250505160518.png)
+
+- File size -> four byte field for filesize in bytes. Max. 4GB
+- ID of first block (4 byte)
+- File size
+
+Obviously this is trash since it cannot be used with disk of very large capacities. Windows introduced clustering 4,8,16 blocks together.
+
+The table itself is a list of blocks where many links are created and stored. Each entry is 4 bytes. List of empty blocks is also stored.
+
+![](Pasted%20image%2020250505161031.png)
+
+
+
+Note the reserved blocks. They contain:
+- Boot sector (VBR)
+	- Bios parameter block
+	- Bootloader code
+	- Sector, cluster size, FAT count, root directory location
+- FS information Sector (only for FAT32)
+	- Last allocated cluster for speed
+- Backup boot sector
+	- In case of corruption
+
+
+#### Free blocks list
+Stores a value for each cluster which can indicate:
+- `0x00000000` -> Free cluster
+- Next cluster number -> Cluster is allocated and points to the next one
+- `0xFFFFFFF8` - `0xFFFFFFFF` -> EOF
+- `0xFFFFFFF7` -> bad cluster
+
+To find a free block we just need to search for the first available cluster. We keep the last allocated cluster, optimizing search time.
+### NTFS
+New Technologies File System.
+
+- Everything is a cluster
+- Size is a multiple of disk block size
+- Journaling
+- File data compression
+
+![](Pasted%20image%2020250505161542.png)
+
+
+- Boot sector (VBR)
+	- NTFS signature and other boot info
+	- Location of Master File Table (MFT)
+	- Sector 0 of partition
+- MFT
+	- Stores metadata for every file and directory
+	- MFT entry that stores attributes
+		- name
+		- size
+		- timestamps
+		- security
+	- MFT itself is described in the MFT lmfao
+- File system metadata
+	- $MFT, $Bitmap , $LogFile, $Secure, etc. store metadata
+	- System files are treated like regular files
+- Data
+	- Actual file content, either stored in MFT for small entries or in separate clusters (large files)
+	- Uses extents[^4] and B+ trees[^5]
+- Supports encryption
+
+#### MFT entry
+Each file or directory is represented by a 1KB entry:
+- File name
+- Info (timestamps, perms)
+- Data location (resident[^6] or not)
+- Index
+- Attributes
+![](Pasted%20image%2020250505162331.png)
+
+
+
+##### `$DATA`
+- Mft Entry
+- If the file contains regular data, the `$DATA` attribute stores the file content or the location
+- For files that fit in a single MFT record (1KB usually)
+- In-place storage of data (resident)
+- For larger files, the `$DATA` attribute contains data runs, which are pointers that tell NTFS where the file's data is located on the disk. Typically a sequence of three values
+	- offset/ length byte
+	- Cluster count
+	- Cluster offset
+
+##### Bitmaps
+- Map of logical clusters in use and not. Same as FAT.
+
+##### Compression
+Compresses  data in 16-cluster chunks.
+Size of a compression unit (chunk) depends on cluster size:
+- 4 KB cluster size -> 64 KB compression unit (most common on modern volumes)
+- 8 KB cluster size -> 128 KB compression unit
+If a chunk is not compressible to at least 50%, NTFS stores it uncompressed.
+
+Uses LZNT1, a variation of (LZ77)
+
+##### Journaling
+Logs all file system changes in the `$LOGFILE` before applying them.
+- It can detect bad sectors and mark them in `$BadClus`
+- NTFS can recover a corrupted MFT using `$MFTMirr`
+- NTFS uses ACLs to manage permissions
+- Each file stores a `$SECURITY_DESCRIPTOR`
+### Security descriptors
+
+
+```
+Owner: S-1-5-21-3623811015-3361044348-30300820-1001 (User: Alice)
+Group: S-1-5-32-544 (Administrators)
+DACL:
+	Allow: S-1-5-21-3623811015-3361044348-30300820-1001 (Alice) - Full Control
+	Deny: S-1-5-21-3623811015-3361044348-30300820-1002 (Bob) - Read Access
+	Allow: S-1-5-18 (Local System) - Full Control
+SACL:
+	Audit: S-1-5-21-3623811015-3361044348-30300820-1003 (Eve) - Log Failed
+Access
+```
+
+Where DACL = **Discretionary Access Control List** and SACL = **System Access Control List**
+
+
+
+
+---
+
+[^1]: **Columnar**, fixed-format ASCII Files have fixed field lengths, as opposed to **delimited**, i.e. fields can be as large as we want them to
+
+[^2]: Extension (.pdf, .txt) as opposed to format, which specifies the [grammar](Regular%20languages.md) of the file
+
+[^3]: contains information about where to place different parts of the program in memory.
+
+[^4]: contiguous area of storage reserved for a file in a file system, represented as a range of block numbers, or tracks on count key data devices
+
+[^5]: Balanced based on height tree. Nodes can contain multiple keys and pointers. Leaf nodes are the data records, upper nodes only store ketys. Ordered (BST).
+
+[^6]: In the MFT entry straight up.

Operating Systems/Input Output.md

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+---
+type: theoretical
+---
+I/O devices can be divided into two categories:
+- Block devices -> store information in fixed-size blocks, each one with its own address
+- Character devices -> deliver or accepts a stream of characters (no regard to any structure) 
+	- Obviously, it is not addressable
+
+
+They have components:
+- Mechanical -> the thing (sensor blah blah)
+- Electronic -> the controller
+	- Converts serial bit stream to block of bytes
+	- Perform error detection
+	- Make available to main memory
+
+
+## Memory-Mapped I/O
+Controllers have a few registers that are used for communcation with the CPU. Writing in these registers, the OS can command the device to perform an action. By reading the registers, it can tell its state. 
+
+
+> [!IMPORTANT]
+> In memory-mapped I/O each control register is assigned a unique memory address to which no memory is assigned.
+› In most systems, the assigned addresses are at or near the top of the address space.
+
+![](Pasted%20image%2020250505192629.png)
+
+
+### Advantages
+- Special I/O instructions are needed to read and write the control registers
+- Simple device driver
+- With memory-mapped I/O, no special protection mechanism is needed to keep user processes from performing I/O.
+- If each device has its control registers on a different page of the address space, the operating system can give a user control over specific devices but not others by simply including the desired pages in its page table.
+
+### Disadvantages
+- Caching the page of a device control register would be a problem
+	- The DCRs are cached => references would just take value from cache (stale data)
+	- Infinite loop is possible, since the software would never know whether the device is ready
+- Single bus -> everyone looks at every address
+- One address space, then all memory modules *and* all I/O devices must examine all memory references to see which ones to respond to
+
+
+![](Pasted%20image%2020250505193602.png)
+
+
+## DMA
+Requesting one byte at a time from an I/O controller wastes the CPU’s time. Instead, DMA (Direct Memory Access) is often used
+
+DMA controllers has access to the system bus **independently** of the CPU
+Includes registers that can be written and read by the CPU:
+- Memory address register
+- Byte count register
+- One or more control registers to specify the I/O port to use, direction of transfer, transfer unit, number of bytes in one burst
+
+![](Pasted%20image%2020250505194426.png)
+
+
+### Accessing BUS
+- Word-at-a-time -> request the transfer of one word and gets bus, CPU waits (cycle stealing)
+- block mode -> acquire the bus, issue a series of transfers and releast. burst mode.
+
+### Accessing memory
+We can do main memory -> fly-by mode.
+An alternative mode is to have the device controller send the word to DMA controller, which the issues a bus request to write the word.
+
+
+### Device Internal Buffer
+- Read the data into its internal buffer first
+	- Verify the checksum (error checking) before starting a transfer
+	- The bits keep arriving at a constant rate, whether the controller is ready for them or not
+- DMA transfer to memory is not time critical
+
+
+> [!IMPORTANT] No DMA
+> Not all computers use DMA, CPU is often far faster than the DMA controller and can do the job muuuch faster.
+
+
+## Interrupts
+1. I/O device requests a service, it causes an interrupt, asserting a signal on a bus line assigned to it
+2. Signal is detected by the interrupt controller chip
+3. If no other interrupts are pending, interrupt controller handles interrupt
+	- Otherwise, we do priority, with the device sending interrupt signal until its serviced
+4. Controller puts a number on the address lines specifying which device wants attention
+5. Interrupt causes CPU to stop what it is doing
+6. Number on address lines is used as an indexed into a table called the interrupt vector
+
+![](Pasted%20image%2020250505195901.png)
+
+
+![](Pasted%20image%2020250505200028.png)
+
+
+### Handling interrupts
+- Microprogram or hardware checked to see if there was an interrupt pending.
+- Instruction cycle:
+	- Fethc
+	- Decode
+	- Read operands
+	- Execute
+	- Store 
+	- Check for interrupts
+
+This can be pipelined
+
+### Precise interrupts
+1. PC is saved in a known place
+2. All instructions before the one pointed to by the PC have completed
+3. No instruction beyond the current one has vfinished
+4. Execution state is known
+
+An interrupt that doesn't meet the above requirements is called **imprecise**
+
+![](Pasted%20image%2020250505200548.png)
+
+## Clocks
+![](Pasted%20image%2020250505201102.png)
+
+> [!IMPORTANT]
+> Watchdog timers **ARE clocks**
+
+
+
+## Mass Storage
+Secondary storage for modern computers and shit.
+

Operating Systems/Inter-Process Communication.md

@@ -0,0 +1,143 @@
+---
+type: theoretical
+backlinks:
+  - "[[Overview#Multiprogramming]]"
+---
+
+## Intro
+Processes frequently need to communicate with other
+processes.
+
+### Independent
+Cannot affect or be affected by other processes.
+
+### Dependent
+The opposite
+
+### Why?
+- Information sharing
+- Computation speedup
+- Modularity
+- Convenience
+
+## Methods
+### Shared memory
+```mermaid
+block-beta
+  columns 1
+	a["Process A"] Shared b["Process B"] ... Kernel
+
+```
+
+Processes/threads exchange information by writing in shared memory variables. This is where [Concurrency](Inter-Process%20Communication.md#Concurrency) becomes an issue.
+#### Synchronization
+To remedy the race condition issue, we should synchronize shared memory access. In other words, **when a process writes to shared memory, others mustn't be able to**. Multiple read access is allowed though.
+### Message passing (queueing)
+```mermaid
+block-beta
+  columns 1
+	a["Process A"] b["Process B"] ... ... Kernel
+
+```
+
+Processes communicate with each other by exchanging messages. A process may send information to a port, from which another process may receive information.
+We need to at least be able to `send()` and `receive()`.
+## Concurrency
+Accessing the same shared memory might at the same time will cause issues. This occurrence is called a **Race Condition**.
+
+> [!IMPORTANT]- When does it occur? 
+> A race condition occurs when some processes or threads can access (read or write) a shared data variable concurrently and at least one of the accesses is a write access (data manipulation).
+
+The result depends on when context switching[^1] happens.
+
+The part of the program where shared memory is accessed is called the **Critical Section (CS)**.
+
+### Critical Regions/Sections
+![|600](Pasted%20image%2020250502174340.png)
+
+### Avoiding race conditions
+
+> [!IMPORTANT]- Conditions
+>1. No two processes may be simultaneously inside their critical regions. (Mutual Exclusion)
+>2. No assumptions may be made about speeds or the number of CPUs.
+>3. No process running outside its critical region may block other processes.
+>4. No process should have to wait forever to enter its critical region. (Starvation)
+### Locks
+A flag which tells us whether the shared memory is currently being written into.
+
+### Mutexes
+Mutual exclusion - a type of **lock**, specifically to enforce point 1 in [Avoiding race conditions](Inter-Process%20Communication.md#Avoiding%20race%20conditions) (i.e. enforcing mutual exclusion).
+
+### Semaphores
+Can alllow more than one thread to access a resource. Based on amount of permits. Could be a binary one, which is essentially just a lock, otherwise is called a counting semaphore, only allowing as much writes as implemented. 
+
+Use a `wait()`
+```c
+void wait(int *S){  
+	while((*S)<=0);   // busy waiting  
+	(*S)--;  
+}
+
+```
+and a `signal()`:
+```c
+void signal(int *S){  
+	(*S)++;  
+}
+```
+Just keep a fucking list of processes currently semaphoring.
+#### Producer-Consumer Problem
+- The producer produces items and places them in the buffer.  
+- The consumer removes items from the buffer for processing
+We need to ensure that when a producer is placing an item in the buffer, then at the same time consumer should not consume any item. In this problem, the buffer is the **critical section**.
+
+> [!example]- How do we solve this?
+> To solve this problem, we need two counting semaphores – Full and Empty. “Full” keeps track of some items in the buffer at any given time and “Empty” keeps track of many unoccupied slots.
+
+#### Readers-Writers Problem
+* Multiple readers can access the shared data simultaneously without causing any issues because they are only reading and not modifying the data.
+* Only one writer can access the shared data at a time to ensure data integrity
+
+We already mentioned this in[Synchronization](Inter-Process%20Communication.md#Synchronization)
+
+> [!example]- How do we solve this?
+> Two solutions. We either give priority to readers or writers, but we have to do so consistently. This  means that we let read/write happen first until exhaustion.
+### Peterson's Algorithm
+
+Where `i` and `j` are separate processes.
+
+1. Two Boolean flags: one for each process (e.g.,`flag[0]` and `flag[1]`). Each flag indicates whether the corresponding process wants to enter the critical section.
+2. 
+```c
+flag[i] = true;
+turn = j;
+while (flag[j] && turn == j) {
+    // busy wait[^2]
+}
+```
+3. Once the while loop condition fails, process i enters its critical section.
+4. After finishing its critical section, process i sets flag[i] to false.
+5. Repeat!
+
+
+
+## Monitors
+A high-level abstraction that provides a convenient and effective mechanism for process synchronization.
+It defines procedures (i.e. methods).
+
+> [!WARNING]
+> Only one process may be executing any of the monitor's procedures at a time within the monitor at a time
+
+It uses **condition variables** (often with wait and signal[^3]operations) to allow threads to wait for certain conditions to be met before proceeding.
+
+![|600](Pasted%20image%2020250502180811.png)
+
+
+## Endianness
+![](Pasted%20image%2020250505163335.png)
+
+---
+
+[^1]: [Context switching](Processes%20and%20Threads.md#Context%20switching)
+[^2]: Process repeatedly checks a condition (usually in a loop) until a desired event or state is reached. Not too different from polling.
+[^3]: to the other threads

Operating Systems/Mass Storage.md

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+
+## Hard disks (HDDs)
+Spin platters of magnetically-coated material under moving RW heads
+- Rotate at 60 to 250 times/s
+- Transfer rate is rate at which data flows between drive and pc
+- Positioning time (Random access time) to move disk arm to desired cylinder (seek time) and time for desired sector to rotate under the disk head (rotational latency)
+
+![](Pasted%20image%2020250505201859.png)
+
+
+### Controller
+Receives data/ command from the OS, controls I/O operation and sends back results to OS
+![](Pasted%20image%2020250505201950.png)
+
+
+### I/O steps
+- Move head to track -> Seek Time (S)
+- Find sector -> Rotational Latency Time (r)
+- Transfer data to/from controller -> Block Transfer Time (btt)
+- Error checking and report to OS
+
+
+### Disk Formatting
+Each platter must receive a low-level format done by software, i.e. marking the cylinders and tracks, each containing a few sectors, with short gaps in between
+
+Each sector includes:
+- Preamble: starts with start of the sector bit pattern, the cylinder and sector numbers
+- Data: size of the data portion is determined by the formatting program -> 512 bytes usually
+- ECC: error correction, typically 16 bytes
+
+
+Numbering the sectors
+- Position of sector 0 on each track is offset from the previous track when the low-level format is laid down (cylinder skew)
+
+
+![](Pasted%20image%2020250505202532.png)
+
+![](Pasted%20image%2020250505203114.png)

Operating Systems/Memory Management.md

@@ -0,0 +1,158 @@
+---
+type: theoretical
+backlinks:
+  - "[[Inter-Process Communication]]"
+  - "[[Overview#Multiprogramming]]"
+  - "[[Overview#Multitasking/Timesharing]]"
+---
+
+![|300](Pasted%20image%2020250502181012.png)
+
+(C.U. - Control Unit, does FDE and communicates with everything like ALU, registers, etc.)
+
+## Single-Programing Operating Systems
+Can only run one program lmao. MS-DOS is like that.
+
+
+## Address Binding
+- Depends on availability of memory space
+- Addresses of instructions and variables change with memory location (where the program is loaded)
+- Source code addresses are usually **symbolic**, while compiled code addresses bind to **relocatable** addresses
+- Linker[^1] or loader[^2] will bind relocatable addresses to **absolute** addresses.
+This last step is what's called **address binding**
+
+
+## Binding to memory
+Can happen at different "times":
+- Compile time
+- Load time
+- Execution time
+
+
+
+## Multi-Programming Operating systems
+Introduce some decisions that the OS needs to make:
+- Where to load each program
+- Protecting the programs
+- Optimization
+
+### Protection
+Operating system should be protected against unauthorized accesses by user process to its memory space.
+We could do this via hardware, where the CPU must check every memory access generated in user mode to be sure it is between base and limit for that user.
+
+## Contiguous memory -> Segmentation :)
+The first solution for memory management is segmentation.
+- Allocates memory space to each process
+- As big as the process
+
+### Fragmentation
+- Each process requires a contiguous block
+
+> [!caution] But fragmentation bad!
+> It happens when the free space of the main memory is divided up into multiple parts **between** processes. It's pretty clear why that's bad.
+
+![|600](Pasted%20image%2020250502182934.png)
+
+![|600](Pasted%20image%2020250502183002.png)
+### Memory Allocation Algorithms
+Define which free segment should be allocated to a new process.
+
+#### Best Fit
+![|600](Pasted%20image%2020250502183152.png)
+
+#### Worst fit
+![|600](Pasted%20image%2020250502183221.png)
+
+#### First fit
+![|600](Pasted%20image%2020250502183242.png)
+
+#### Compaction
+![|600](Pasted%20image%2020250502183310.png)
+
+
+>[!warning]- Issues with this
+>1. If main memory is large, it can take a long time
+>2. Complex
+>3. Moving a block while it is being used will cause data loss
+
+## Direct Memory Access (DMA)
+In order to let CPU execute process instructions while data is being transferred from disk to memory, direct memory access (DMA) is used.
+
+![|600](Pasted%20image%2020250502183523.png)
+
+## Fix-sized memory blocks
+In this scheme, memory is partitioned into blocks of the same size. Every block has the same number of bytes, which makes it easier for the system to keep track of which portions of memory are allocated or available.
+
+>[!IMPORTANT]- What's a block?
+> A block refers to one of these fixed-size segments. When a process requests memory, the operating system can allocate one or more blocks to satisfy that request. The fixed size means that each block is predictable in terms of its starting address and size.
+
+We can circumvent the problem using fixed and equal-sized memory blocks.
+This, however, introduces another problem - If multiple blocks are allocated to a process, addressing will be a challenge. Which blocks do we address???
+
+>[!example]-
+>If an element of an array is at address 2000, the next element may be at another block at a very different address
+
+### Attributes of a block
+Each block belongs to one of the memory segments of the program:
+- Code
+- Data
+- Stack
+- Heap
+
+For each block, the access permissions can be defined.
+
+>[!question]- What permissions?
+> - A block is defined as execute only if it is part of the code segment
+> - A block from stack segment has read and write permissions but no execute permission
+
+
+### Storing block information
+For each process, a list of allocated blocks is created. This list shows where each block of the program has been loaded in memory. Also, the permissions are set.
+
+## Paging
+Ahaha!
+This is a logical follow-up of blocks. What if we have a lot of blocks? Well, we put them in a **page or frame = page frame**.
+- The memory is divided into equal-size blocks named page frames
+- A page frame has the same size as a page
+
+### Loading
+Each page is loaded onto the first available page frame of the main memory.
+A page can belong to one segment of the program only ([Attributes of a block](Memory%20Management.md#Attributes%20of%20a%20block)).
+
+### Logical v. Physical addresses
+Each page is **numbered**.
+- An instruction or a variable is located by its page number and offset inside the page. This is called a **logical address**.
+- The actual address (i.e. `20010`) is referred to as a **physical address**.
+
+### Page tables
+Yet another box for a box for a box of boxes. This is just a data structure which holds pages.
+- Each process has its own page table.
+- Threads **share** the page table of the process
+-  [The process control block - PCB](Processes%20and%20Threads.md#The%20process%20control%20block%20-%20PCB) includes a pointer to the page table.
+
+
+#### Implementation
+Page table is kept in main memory.
+
+Every data/instruction access requires two memory accesses - one for page table and one for the data. This can significantly slow down execution time.
+
+So:
+>[!question]- How do we solve this?
+>We use Translation Look-Aside Buffers (TLB) - also called memory, which is *another* fucking data structure to hold the boxes of boxes of boxes of boxes.
+
+
+#### TLBs
+- Typically small
+- Parallel and fast
+- On a miss, value is loaded into the TLB for faster access next time
+
+>[!IMPORTANT] **Effective access time** -- Super-duper important for exam
+> - Hit ratio = % hits
+> $$ EAT = (\text{hit ratio} \times T_{hit} + ((1 - \text{hit ratio}) \times T_{miss}) $$
+> When solving these exercises, first identify the times for TLB hit (including TLB access and memory access) and for a TLB miss (which involves an extra memory access), then calculate the Effective Access Time (EAT) using the weighted average with the hit ratio. Finally, plug in the hit ratio and respective access times into the EAT formula and compute the result.
+
+---
+
+
+[^1]: That shit makes your program executable. Officially: The linker takes one or more object modules that contain relocatable addresses and combines them into a single executable.
+[^2]: The loader is takes the executable and loads it into memory when the program is run.

Operating Systems/Overview.md

@@ -0,0 +1,198 @@
+---
+type: theoretical
+backlinks:
+---
+
+## Operating System
+- Manages hardware and software
+- Resource allocator
+	- Manages and routes resources and requests
+- Control program
+	- Prevents errors and improper use
+
+## User v. System
+
+### User
+
+```mermaid
+graph TD;
+
+	A["user"] <--> B["application programs"]
+	B <--> C["operating system"]
+	C <--> D["computer hardware"]
+
+```
+
+
+
+### System
+An operating system is a control program
+
+
+## Major OS Components
+
+
+| Name                     | Description                                        |
+| ------------------------ | -------------------------------------------------- |
+| Kernel                   | Core part of the OS; manages CPU, memory, I/O      |
+| Process manager          | Handles multitasking, scheduling, and execution    |
+| Memory Manager           | Allocates/deallocates RAM, manages virtual memory. |
+| File System              | Organizes, stores, and secures files.              |
+| Device Manager           | Interfaces with hardware peripherals               |
+| User Interface (CLI/GUI) | Allows users to interact with the OS               |
+
+
+## Management of resources
+
+### CPU
+- A program can do nothing unless its instructions are executed by a CPU
+- An executing program becomes a **process**
+- The process needs resources
+- All processes can potentially be executed concurrently by multiplexing on one CPU core or in parallel across multiple
+
+
+### Memory
+- For a program to be executed, it must be loaded into memory.
+- To improve the CPU utilization, several programs are kept in memory.
+
+OS should:
+- Know which parts of memory are currently being used and which process is using htem
+- Allocate and deallocate memory accordingly
+- Decide which processes and data moves in and out of memory
+
+### Cache
+- Cache operates at different levels (L1, L2, L3) and is managed primarily by hardware (CPU cache controllers), not the operating system.
+- **HOWEVER**, the OS can influence this by
+	- Managing process scheduling which affects cache locality[^1]
+	- Optimizing memory access patterns
+	- Supporting cache-aware algorithms[^2]
+
+
+### File System
+
+- The operating system abstracts from the physical properties of its storage devices to define a logical storage unit, the file
+
+### Mass Storage
+The operating system is responsible for:
+-  Mounting and unmounting
+- Free-space management
+- Storage allocation
+- Disk scheduling
+- Partitioning
+- Protection
+
+### I/O
+
+The I/O subsystem consists of several components:
+- A memory-management component that includes buffering, caching, and spooling
+- A general device-driver interface
+-  Drivers for specific hardware devices
+
+
+
+
+## User and Operating System Interface
+![](Pasted%20image%2020250204103541.png)
+
+
+## Command Interpreters
+Special programs that run when a user first logs on. They read and interpret user commands and execute programs.
+
+On Linux, the command interpreter is called a **shell**. The most common shell is the **Bourne Again Shell (bash)**
+
+## System calls
+- System calls are the interface between the user and the operating system
+- They are the only way a user program can request a service from the operating system
+- They are typically written in a high-level language (C) and are accessed via a library
+
+E.g.
+
+```c
+#include <stdio.h>
+#include <unistd.h>
+
+int main() {
+	write(1, "Hello, World!\n", 14); // 1 is the file descriptor for stdout, 14 is the number of bytes to write
+	return 0;
+}
+```
+
+![example syscall](assets/image.png)
+
+
+## APIs in the OS
+
+- APIs are a set of functions that allow the programmer to interact with the OS
+- They are typically written in a high-level language (C) and are accessed via a library
+- They are used to interact with the OS and its services
+
+
+i.e. Under the hood, widely used libraries like `stdlib.h` and `stdio.h` are just APIs that interact with the OS
+
+
+
+## Performance Optimization
+A computer system executes a program by:
+- Loading the program into memory
+- FDE cycle (Fetch, Decode, Execute)
+- Repeat until the program is done
+- The OS must manage resources to ensure that the program runs efficiently
+
+
+### Instruction Types
+- CPU-bound: spends most of its time executing instructions
+- I/O-bound: spends most of its time waiting for I/O operations to complete
+
+Keyword - **waiting**, hence I/O operations are very slow.
+
+### How do we sped it up?
+
+- Replace slow I/O devices
+- Perform I/O operations independently of the CPU
+- Multiprogramming/multitasking
+
+
+#### Spooling
+- Simultaneous Peripheral Operations On-Line
+- A technique that uses a buffer to hold data for devices that are not currently in use
+
+```mermaid
+graph TD;
+
+	A["User"] --> B["Spooling"]
+	B --> C["Printer"]
+	B --> D["Disk"]
+```
+
+#### Multiprogramming
+- The OS keeps several jobs in memory simultaneously
+- Needed for efficiency
+- Single users cannot keep the CPU and I/O devices busy at all times
+- Scheduling is key
+- 
+```mermaid
+graph TD;
+
+	A["User"] --> B["Multiprogramming"]
+	B --> C["Job 1"]
+	B --> D["Job 2"]
+```
+
+#### Multitasking/Timesharing
+- The OS switches between jobs so quickly that it appears as if they are running simultaneously
+- If several jobs are ready to run at the same time, the OS must decide which one to run
+
+```mermaid
+graph TD;
+
+	A["User"] --> B["Multitasking"]
+	B --> C["Job 1"]
+	B --> D["Job 2"]
+```
+
+
+
+---
+
+[^1]: is the tendency of a processor to access the same set of memory locations repetitively over a short period of time
+[^2]: https://stackoverflow.com/questions/473137/a-simple-example-of-a-cache-aware-algorithm

Operating Systems/Processes and Threads.md

@@ -0,0 +1,245 @@
+---
+type: theoretical
+backlinks:
+  - "[[Overview#Multiprogramming]]"
+  - "[[Overview#Multitasking/Timesharing]]"
+---
+## Process
+A program in execution.
+
+Consists of:
+* The program code - **text section**
+* Current activity - **PC**, registers
+* **Stack** -> Function parameters, return addresses, local variables
+* Data section
+* **Heap** -> dynamically allocated (at run time) memory 
+
+
+The difference between a process and a program is that the program is the executable file stored on disk, while the process **is running** (shocker).
+
+
+### Creation
+Four events could cause processes to be created
+1. System init - Daemons
+2. Executing a process by "running a program"
+3. A user process request to create a new process
+4. Initiation of a batch[^1] job
+
+
+### `fork()`
+
+A Linux [system call](Overview.md#System%20calls).
+
+```mermaid
+graph LR;
+
+	A["`fork()`"] --> |parent| B["wait"]
+	A --> |child|C["`exec()`"]
+	C --> D["`exit()`"]
+	D --> B
+	B --> E["Resumes"]
+```
+
+
+### Hierarchy
+Linux creates a parent-child relationship between processes, Windows doesn't.
+
+Linux:
+
+```mermaid
+graph TD;
+	init["init
+	pid = 1"]
+
+	login["login
+	pid = 8415"]
+	
+	kthreadd["kthreadd
+	pid = 2"]
+
+	sshd["sshd
+	pid=3028"]
+
+
+	bash["bash
+	pid=8416"]
+
+
+	ps["ps
+	pid=9298"]
+
+	emacs["emacs
+	pid=9204"]
+
+    khelper["khelper
+    pid=6"]
+
+    pdflush["pdflush
+    pid=200"]
+
+init --> login
+init --> kthreadd
+init --> sshd
+
+login --> bash
+
+bash --> ps
+bash --> emacs
+
+kthreadd --> khelper
+kthreadd --> pdflush
+
+
+```
+
+
+### Termination
+1. Normal 
+	Process should return a code to its parent. Child processes should wait until they know that the parent received it, becoming **zombie processes**. If the parent dies before the child, the child is called an orphan. Absolutely fucking crazy naming. Every linux process should have a parent process [source: unicef](https://unicef.org).
+2. Error - just a special return code
+3. Fatal error, involuntary - division by zero, invalid opcode; process is immediately terminated by the system
+4. Killed
+
+
+### States
+As a state machine
+
+1. Running
+2. Ready
+3. Blocked (blocking == waiting)
+
+```mermaid
+graph TD;
+	A["Running"]
+	B["Ready"]
+	C["Blocked"]
+
+	A --> |1| C
+	A --> |2| B
+	B --> |3| A
+	C --> |4| B
+```
+#### Ready State
+- In this state the process is not waiting for a resoucrce
+- Can be executed
+- Put in a queue (ready queue)
+
+#### I/O queue
+- I/O device has its own
+- Multiple queues are created by OS
+## Timesharing: In-depth
+from [Multitasking/Timesharing](Overview.md#Multitasking/Timesharing)
+The output of running programs should not change when we stop and switch back to the same program later on.
+
+
+### Context switching
+Switching implies that we have to store the values of registers, flags, PC, etc. of the current process and load them into the next one. Then we continue.
+
+
+### The process control block - PCB
+The OS needs a place to store the status of each process. This is that data structure.
+
+
+### Process table
+A list of PCBs (one per process)
+
+![Figure: PS](Pasted%20image%2020250419141856.png)
+
+
+* Timer (`ISR`[^2]) generates multiple interrupts per second
+* Store the status of the process in PCB
+
+
+
+## Threads
+A thread is a basic unit of CPU utilization, consisting of a program counter, a stack, and a set of registers, ( and a thread ID. )
+
+A light-weight process.
+
+![](Pasted%20image%2020250419143713.png)
+
+### Processes vs threads
+
+
+| Processes                                 | Thread                                           |
+| ----------------------------------------- | ------------------------------------------------ |
+| Heavyweight                               | Lighter                                          |
+| Each process has its own memory           | Threads use memory of the process they belong to |
+| Inter-Process Communication (IPC) is slow | Way faster inter-thread communication            |
+| Context switching is more expensive       | Less expensive                                   |
+| Do not share memory                       | do share memory                                  |
+
+### Multithreading
+- Traditional processes have a single thread of control[^3]
+* If a process has multiple threads of control, it can perform more than one task
+
+### Ways to Implement Threads
+* Kernel-Level Threads (KLT)
+	* Managed by the OS kernel
+	* Each thread is a separate scheduling entity
+	* `pthread`, `thread`
+* User-Level Threads (ULT)
+	* Managed by user-space libraries, OS is unaware
+	* Faster context switching
+	* Green threads
+
+### User Threads and Kernel Threads
+- **User threads**
+	- Implemented by a thread library at the user level
+	- thread creation and scheduling are done in user space
+- **Kernel Threads**
+	- Managed by OS
+
+### Relationship models
+#### Many-to-one
+
+* User-level threads to one kernel treads
+* Management done by thread library in user space
+* The entire process blocks whenever a thread makes a blocking sycalls
+* Only **one** thread can access the kernel at a time (you can't run multiple threads in parallel on multiprocessors)
+
+#### One-to-one
+Each user thread is mapped to a kernel thread
+- Provides more concurrency
+Unfortunately:
+- Creating a user thread requires creating the corresponding kernel thread
+- Overhead of creating kernel threads retricts the number of threads
+
+
+#### Many-to-many
+Multiplexes many user threads to a $\leq$ number of kernel threads.
+
+- Allows creation of however many threads the user wants
+- The kernel can schedule another thread for execution whenever a thread performs a blocking system call
+
+
+#### Fork-join
+Parent creates forks (children threads) and then waits for the children to terminate, joining with them, at which point it can retrieve and combine results. 
+
+This is also called **synchronous threading**. Parent **cannot** continue until the work has been completed.
+
+
+[^1]: A batch job is a scheduled task or a set of commands that are executed without manual intervention - **cron**
+
+[^2]: interrupt service routine - like in LC3
+
+[^3]: sequence of programmed instructions that can be managed independently by a scheduler within a computer program
+	
+
+##### Parallelism
+
+![](Pasted%20image%2020250421222538.png)
+
+
+## Thread pool
+Issue wih threads:
+- Overhead when creating
+- Exhausting system resources
+Solution: thread pools - creating a number of threads at startup and place them into a pool where they sit and wait for work.
+
+
+This optimizes everything because:
+Sharing threads:
+- If a thread is blocked (e.g., waiting for I/O), it doesn't remain idle; it can be reassigned to another task
+- Each thread has its own task queue
+- Whenever a thread finishes its tasks it looks through the other threads' queues and "steals" tasks.

Operating Systems/Scheduling.md

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+---
+type: theoretical
+backlinks:
+  - "[[Overview#Multitasking/Timesharing]]"
+  - "[[Processes and Threads#Timesharing In-depth]]"
+---
+Processes take turns to use the CPU.
+
+## Long Term Scheduling
+Processes that are waiting are put in a *ready* queue.
+
+## Short Term Scheduling
+Which process in the ready queue should be assigned the CPU next
+
+
+## Criteria
+We want to:
+- Maximize CPU utilization
+- Minimize Average Turnaround time
+- Maximize throughput
+- Minimize waiting and response time
+
+
+### CPU utilization
+Each process spends $p$ fraction of its time wating for I/O, having $n$ processes in memory. The probability that all processes are waiting for I/O is $p^n$
+Hence, CPU utilization is:
+
+$$
+1- p^n
+$$
+
+### Average Turnaround Time
+The time since the process enters the ready queue until it terminates.
+
+Average is literally the mean of the aforementioned but for many processes.
+
+### Throughput
+Number of processes executed completely in a unit of time.
+
+## Non-Preemptive scheduling
+
+If the process executes to complete, the algorithm is non-preemptive.
+
+- Long average turnaround time
+- Whenever a long process starts, short ones have to wait
+### FCFS
+Read title
+
+## SJF
+Shortest job first. Choose the next process to execute from the processes currently in the ready queue, based on their execution time
+
+
+> [!IMPORTANT]
+> Starvation happens when a process waits for a resource for a long time
+
+
+
+This could happen with SJF.
+
+
+### Attacking starvation by introducing compound priority[^1]
+
+So, SJF uses `1/Execution time` priority. We just add `0.1*waiting time` to it.
+
+
+
+## Preemptive scheduling
+Scheduler stops a process and reclaims the CPU after assigning it
+
+
+### SRTF
+Shortest remaining time first (as opposed to shortest job first which just takes the initial times, this one is dynamic)
+
+We keep track of when the processes start and how much time they've taken, calculating how much time they have left. We pick the minimum based on that.
+
+### RR
+Round robing. Just give everyone a small time window for them to do their jobs.
+
+We need to find a "time quantum"[^2] by balancing minimizing overhead of context switching and maximizing response time
+
+**no priority**
+
+
+## Process categorization
+
+| Category    | Description                                                  | Example                 |
+| ----------- | ------------------------------------------------------------ | ----------------------- |
+| Batch       | No interaction with users, input/output read/written to file | Cron job                |
+| Interactive | Requires input from user. Needs short response times.        | Chat                    |
+| Real-time   | Expects response from user                                   | Industrial applications |
+
+## Multi-queue scheduling
+Multiple priority levels and uses RR for each.
+Choses processes from highest level and recurses downwards whenever a level is exhausted.
+
+### + feedback
+Processes can be moved from one queue to another based on the type of operations executed (i.e. I/O is high priority).
+
+
+## Lottery
+Random number. Set boundaries. e.g.:
+
+$$
+
+\begin{align*}
+p_a \leftarrow 20\% \\
+p_b \leftarrow 50\% \\
+p_c \leftarrow 30\%
+\end{align*}
+$$
+
+So:
+
+$$
+rand() \rightarrow 0.4 \implies S(\{p_i\}) = p_b
+$$
+
+
+## Real-time scheduling
+Dividing the program into a number of short-lived processes.
+
+
+---
+[^1]: I made that shit the fuck up just now
+[^2]: Terrible fucking name, why why why, this should be called a window or some shit.

Operating Systems/Virtual Memory.md

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+---
+type: theoretical
+backlinks:
+  - "[[Memory Management]]"
+---
+Separating logical memory from physical memory.
+- Allows **very large** virtual memory, when only a smaller physical memory is available
+The **virtual address space** of a process refers to the logical view of how a process is stored
+
+## Implementation
+Maintain a copy of the process (including code,data heap and stack segments) in a special area of the HDD named **virtual memory**
+
+> [!IMPORTANT]- Refresher - code, data, heap and stack segments
+> ![](Pasted%20image%2020250505042419.png)
+
+>[!NOTE]- Another refresher - stack vs. heap allocation
+> ![](Pasted%20image%2020250505042548.png)
+
+- Process is divided into pages
+- If a page is referred to, it is brought into main memory (**DEMAND PAGING**)
+
+## Page faults
+When a page is referenced but not present in memory - a main memory access is required.
+
+## Page replacement
+The act of replacing a frame in memory with another one (which we need) from the main memory.
+
+
+### Basic Page Replacement
+Linear search for free frame, if none -> select victim page via **a page replacement algorithm** and do your thing!
+
+
+## Typical pages
+Contain:
+- A P (or V for valid) bit -> page is in RAM (else page fault)
+- M (dirty) bit - page in RAM modified
+- R bit - referenced since last time R was cleared
+
+## Belady’s Anomaly
+
+Increasing the number of page frames (or memory pages) allocated to a process can lead to an increase in the number of page faults, rather than a decrease.
+## Frame-allocation algorithms
+How many frames to give to each process
+
+### Fixed
+Each process receives the same number of frames -> **Equal Allocation**
+
+### Proportional
+Allocate according to size of process.
+
+## Page-replacement algorithms
+Which page to replace, optimizing for lowest page fault rate.
+
+### FIFO
+Read title.
+### Least Recently Used (LRU)
+Replace page that has not been used recently.
+
+**Counter**:
+- Every page entry has a counter; every time page is referenced through this entry, copy the clock into the counter.
+- When a page is to be changed, find smallest value in counters.
+**Stack**:
+- Keep a stack of page numbers in a double link form[^1]
+- On page reference - move to top
+
+### LRU Approximation
+Since LRU is slow as shit, we need an approximation.
+
+We introduce a **Reference bit**:
+- Each page has `R = 0` at first
+- Whenever referenced `R = 1`
+- Replace any page with `R = 0`
+
+#### Second-chance (Clock)
+Do the above. It's called a clock cuz it's like a `itertools.cycle()`. It holds the state of last accessed page (clock hand) and moves on from there on next iteration.
+
+## The Working Set Model
+We want to have the set of pages "in use" in RAM!
+- Working set changes over time
+- Usually approximated by the set of pages used by some amount of most recent references
+
+## Thrashing
+When a process is busy swapping pages. 
+Multiprogramming[^2] is high, CPU utilization[^3] is low.
+
+### Solving it
+Give the process(es) more memory by:
+- Taking it from another process
+- Swap out shit until demand is lower (scheduler)
+
+
+## Inverted page table
+Inverted page tables are a memory management method that uses a single table for the entire system to map physical memory addresses to virtual addresses. Instead of each process having its own page table, the inverted page table has entries for each physical page.
+
+
+## I/O Interlock
+Pages must sometimes be locked into memory (i.e. I/O). This is what this is called.
+
+
+
+---
+[^1]: Doubly-linked list where we can go `prev` and `next`
+[^2]: Many processes wanting resources
+[^3]: Shit actually happening

Operating Systems/Virtualization.md

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+---
+type: theoretical
+---
+- Hypervisor-Based Virtualization
+	- Utilizing hypervisor-based virtualization solutions like VMWare ESXi or Proxmox to create and manage multiple VMs on a single server.
+- Cloud computing
+
+## Requirements
+1. Safety: hypervisor should have **full control** of virtualized resources
+2. Fidelity: behaviour of a program on a virtual machine should be the same as if it were running bare metal
+3. Efficiency: Much of code should run without intervention by hypervisor
+
+
+## Popek and Goldberg
+
+Sensitive instructions behave differently in user vs. kernel mode. IO as an example.
+Privileged instructions cause a trap if executed in user mode.
+
+$$
+\text{Sensitive INS. } \subseteq \text{ Privileged Ins.}
+$$
+
+## Types
+![](Pasted%20image%2020250505205120.png)

Software Engineering/Initial Questions.md

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+
+### Logistics
+- Will we have access to an overview of the project roadmap, including deliverables?\
+> **No. It is a research project, hence no deliverables and such.**
+- Do you need us to use specific project management tools (e.g. GitHub, Jira, etc.)?
+- How often are you available? Is it possible to have weekly progress reports?
+> Every week is good.
+### Formal Verification
+- What is the expected level of background in Coq or formal methods?
+> It's possible to catch up to speed in a couple of months
+- Can you explain the process by which a smart contract's safety properties will be validated formally?
+- Are there any existing case studies or example proofs we might refer to for a better understanding of the expected output?
+>  You will be linked to existing projects
+- Define the contract verification criteria
+### Project scope clarifications
+- Among the seven smart contracts being verified, which ones do you expect us to work on, and why those?
+- Which technologies are we going to be introduced to, if any? Will we have access to guides for Coq and Solidity?
+- How do you envision the high-level Coq framework integrating with existing Solidity projects?
+
+### Optional
+
+- How much of the formal verification process will be based on axioms versus fully constructive proofs?
+- Could you elaborate on the notion of “high-level primitives” (e.g., identity, item, property) and how flexible they need to be for different types of contracts?
+- Could you specify what you mean by "real numbers and integer approximations"? Is it related to precision with math? How does that impact the security of a smart contract? Practical example?

Software Engineering/Meeting.md

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+## Intro
+- Formalland 2 years old
+- Formal verification for code, proofs
+- Find a way to fully specify smart contracts
+- Formal verification as means of security (no bugs -> no stealing)
+	- Alternatives include:
+		- Testing (Unit, Value)
+		- Human expertise
+		- Quite niche in the field of computer science
+- We can be sure that the program follows intended behavior after verification
+
+
+## Smart contracts
+- Notion of users
+- Admin - owner
+- We need to look through some examples [here](https://formal.land/docs/tools/coq-of-solidity/specification-project) to get a feel for them.
+	- Motivated by bugs [listed here](https://github.com/kadenzipfel/smart-contract-vulnerabilities)
+
+### Example of Smart Contract
+- Stablecoins (USDC)
+	- Possible specification(?) is to state that the amount of coins is fixed
+
+## Work
+- Solidity
+- VSC online
+
+### Questions during the meeting
+- What is the difference between a user and an admin in the context of smart contracts?
+
+- You mentioned that one possible specification is to state that the amount of coins is fixed. How does that relate to formal verification? To our project?
+
+- Is the idea to design a DSL? Could you elaborate on the specifics? Do you have a write-up about it or do we need to come up with it?
+> Yes. We want to simplify formal verification of smart contracts by creating a DSL.

Software Engineering/Reqirements.md

@@ -0,0 +1,2 @@
+
+End goal: Represent all 7 smart contracts in our DSL

Software Engineering/TA Meeting 1.md

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+### General Notes
+- 7 smart contracts -> gives us a vague idea as to what we're going to do
+- No specfics available
+	-  Prepare some questions to have a better shot at understanding what the project's about
+	- > What are we going to do exactly?
+
+- Swap around roles in order for all of us to learn as much as possible
+- Think about the approach
+- Start exploring -> have more meetings
+###  Communication tips
+- Need to contact the company, book a meeting and include in CC
+- Try to compress as much information as possible in one cycle of email communication, since companies usually take a while to answer.
+- Make them define a concrete timeline 
+- Ask them what their availability is? How many meetings are possible?
+### What we need to do
+- We need to translate the smart contract to their existing system if they have one (they probably do?)
+### Next week
+- Queries have to be ready

Statistics and Probability/Mock exam run 1.md

@@ -0,0 +1,21 @@
+
+### Null hyposthesis
+
+### Confidence interval
+Interval which is expected to contain the parameter
+$$
+CI = \bar{x} \pm z \frac{s}{\sqrt{n}}
+$$
+Where $z\frac{s}{\sqrt{n}}$ is the variation in our estimate.
+
+
+### T-Test
+Used to determine if there is a significant difference between the means of two groups.
+
+We have to assume:
+- Data follows a normal distribution
+- each observation is independent
+
+$$
+t = \frac{\text{mean} - \text{theoretical value}}{s\sqrt{n}}
+$$