vault backup: 2025-02-18 09:36:10

.obsidian/community-plugins.json

@@ -2,5 +2,6 @@
   "obsidian-git",
   "d2-obsidian",
   "execute-code",
-  "better-export-pdf"
+  "better-export-pdf",
+  "obsidian-excalidraw-plugin"
 ]

.obsidian/plugins/obsidian-excalidraw-plugin/data.json

@@ -0,0 +1,799 @@
+{
+  "folder": "Excalidraw",
+  "cropFolder": "",
+  "annotateFolder": "",
+  "embedUseExcalidrawFolder": false,
+  "templateFilePath": "Excalidraw/Template.excalidraw",
+  "scriptFolderPath": "Excalidraw/Scripts",
+  "fontAssetsPath": "Excalidraw/CJK Fonts",
+  "loadChineseFonts": false,
+  "loadJapaneseFonts": false,
+  "loadKoreanFonts": false,
+  "compress": true,
+  "decompressForMDView": false,
+  "onceOffCompressFlagReset": true,
+  "onceOffGPTVersionReset": true,
+  "autosave": true,
+  "autosaveIntervalDesktop": 60000,
+  "autosaveIntervalMobile": 30000,
+  "drawingFilenamePrefix": "Drawing ",
+  "drawingEmbedPrefixWithFilename": true,
+  "drawingFilnameEmbedPostfix": " ",
+  "drawingFilenameDateTime": "YYYY-MM-DD HH.mm.ss",
+  "useExcalidrawExtension": true,
+  "cropPrefix": "cropped_",
+  "annotatePrefix": "annotated_",
+  "annotatePreserveSize": false,
+  "previewImageType": "SVGIMG",
+  "renderingConcurrency": 3,
+  "allowImageCache": true,
+  "allowImageCacheInScene": true,
+  "displayExportedImageIfAvailable": false,
+  "previewMatchObsidianTheme": false,
+  "width": "400",
+  "height": "",
+  "overrideObsidianFontSize": false,
+  "dynamicStyling": "colorful",
+  "isLeftHanded": false,
+  "iframeMatchExcalidrawTheme": true,
+  "matchTheme": false,
+  "matchThemeAlways": false,
+  "matchThemeTrigger": false,
+  "defaultMode": "normal",
+  "defaultPenMode": "never",
+  "penModeDoubleTapEraser": true,
+  "penModeSingleFingerPanning": true,
+  "penModeCrosshairVisible": true,
+  "renderImageInMarkdownReadingMode": false,
+  "renderImageInHoverPreviewForMDNotes": false,
+  "renderImageInMarkdownToPDF": false,
+  "allowPinchZoom": false,
+  "allowWheelZoom": false,
+  "zoomToFitOnOpen": true,
+  "zoomToFitOnResize": true,
+  "zoomToFitMaxLevel": 2,
+  "linkPrefix": "📍",
+  "urlPrefix": "🌐",
+  "parseTODO": false,
+  "todo": "☐",
+  "done": "🗹",
+  "hoverPreviewWithoutCTRL": false,
+  "linkOpacity": 1,
+  "openInAdjacentPane": true,
+  "showSecondOrderLinks": true,
+  "focusOnFileTab": true,
+  "openInMainWorkspace": true,
+  "showLinkBrackets": true,
+  "allowCtrlClick": true,
+  "forceWrap": false,
+  "pageTransclusionCharLimit": 200,
+  "wordWrappingDefault": 0,
+  "removeTransclusionQuoteSigns": true,
+  "iframelyAllowed": true,
+  "pngExportScale": 1,
+  "exportWithTheme": true,
+  "exportWithBackground": true,
+  "exportPaddingSVG": 10,
+  "exportEmbedScene": false,
+  "keepInSync": false,
+  "autoexportSVG": false,
+  "autoexportPNG": false,
+  "autoExportLightAndDark": false,
+  "autoexportExcalidraw": false,
+  "embedType": "excalidraw",
+  "embedMarkdownCommentLinks": true,
+  "embedWikiLink": true,
+  "syncExcalidraw": false,
+  "experimentalFileType": false,
+  "experimentalFileTag": "✏️",
+  "experimentalLivePreview": true,
+  "fadeOutExcalidrawMarkup": false,
+  "loadPropertySuggestions": true,
+  "experimentalEnableFourthFont": false,
+  "experimantalFourthFont": "Virgil",
+  "addDummyTextElement": false,
+  "zoteroCompatibility": false,
+  "fieldSuggester": true,
+  "compatibilityMode": false,
+  "drawingOpenCount": 0,
+  "library": "deprecated",
+  "library2": {
+    "type": "excalidrawlib",
+    "version": 2,
+    "source": "https://github.com/zsviczian/obsidian-excalidraw-plugin/releases/tag/2.8.3",
+    "libraryItems": []
+  },
+  "imageElementNotice": true,
+  "mdSVGwidth": 500,
+  "mdSVGmaxHeight": 800,
+  "mdFont": "Virgil",
+  "mdFontColor": "Black",
+  "mdBorderColor": "Black",
+  "mdCSS": "",
+  "scriptEngineSettings": {},
+  "defaultTrayMode": true,
+  "previousRelease": "2.8.3",
+  "showReleaseNotes": true,
+  "showNewVersionNotification": true,
+  "latexBoilerplate": "\\color{blue}",
+  "latexPreambleLocation": "preamble.sty",
+  "taskboneEnabled": false,
+  "taskboneAPIkey": "",
+  "pinnedScripts": [],
+  "customPens": [
+    {
+      "type": "default",
+      "freedrawOnly": false,
+      "strokeColor": "#000000",
+      "backgroundColor": "transparent",
+      "fillStyle": "hachure",
+      "strokeWidth": 0,
+      "roughness": 0,
+      "penOptions": {
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+        "constantPressure": false,
+        "hasOutline": false,
+        "outlineWidth": 1,
+        "options": {
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+          "smoothing": 0.5,
+          "streamline": 0.5,
+          "easing": "easeOutSine",
+          "start": {
+            "cap": true,
+            "taper": 0,
+            "easing": "linear"
+          },
+          "end": {
+            "cap": true,
+            "taper": 0,
+            "easing": "linear"
+          }
+        }
+      }
+    },
+    {
+      "type": "highlighter",
+      "freedrawOnly": true,
+      "strokeColor": "#FFC47C",
+      "backgroundColor": "#FFC47C",
+      "fillStyle": "solid",
+      "strokeWidth": 2,
+      "roughness": null,
+      "penOptions": {
+        "highlighter": true,
+        "constantPressure": true,
+        "hasOutline": true,
+        "outlineWidth": 4,
+        "options": {
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+          "smoothing": 0.5,
+          "streamline": 0.5,
+          "easing": "linear",
+          "start": {
+            "taper": 0,
+            "cap": true,
+            "easing": "linear"
+          },
+          "end": {
+            "taper": 0,
+            "cap": true,
+            "easing": "linear"
+          }
+        }
+      }
+    },
+    {
+      "type": "finetip",
+      "freedrawOnly": false,
+      "strokeColor": "#3E6F8D",
+      "backgroundColor": "transparent",
+      "fillStyle": "hachure",
+      "strokeWidth": 0.5,
+      "roughness": 0,
+      "penOptions": {
+        "highlighter": false,
+        "hasOutline": false,
+        "outlineWidth": 1,
+        "constantPressure": true,
+        "options": {
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+          "thinning": -0.5,
+          "streamline": 0.4,
+          "easing": "linear",
+          "start": {
+            "taper": 5,
+            "cap": false,
+            "easing": "linear"
+          },
+          "end": {
+            "taper": 5,
+            "cap": false,
+            "easing": "linear"
+          }
+        }
+      }
+    },
+    {
+      "type": "fountain",
+      "freedrawOnly": false,
+      "strokeColor": "#000000",
+      "backgroundColor": "transparent",
+      "fillStyle": "hachure",
+      "strokeWidth": 2,
+      "roughness": 0,
+      "penOptions": {
+        "highlighter": false,
+        "constantPressure": false,
+        "hasOutline": false,
+        "outlineWidth": 1,
+        "options": {
+          "smoothing": 0.2,
+          "thinning": 0.6,
+          "streamline": 0.2,
+          "easing": "easeInOutSine",
+          "start": {
+            "taper": 150,
+            "cap": true,
+            "easing": "linear"
+          },
+          "end": {
+            "taper": 1,
+            "cap": true,
+            "easing": "linear"
+          }
+        }
+      }
+    },
+    {
+      "type": "marker",
+      "freedrawOnly": true,
+      "strokeColor": "#B83E3E",
+      "backgroundColor": "#FF7C7C",
+      "fillStyle": "dashed",
+      "strokeWidth": 2,
+      "roughness": 3,
+      "penOptions": {
+        "highlighter": false,
+        "constantPressure": true,
+        "hasOutline": true,
+        "outlineWidth": 4,
+        "options": {
+          "thinning": 1,
+          "smoothing": 0.5,
+          "streamline": 0.5,
+          "easing": "linear",
+          "start": {
+            "taper": 0,
+            "cap": true,
+            "easing": "linear"
+          },
+          "end": {
+            "taper": 0,
+            "cap": true,
+            "easing": "linear"
+          }
+        }
+      }
+    },
+    {
+      "type": "thick-thin",
+      "freedrawOnly": true,
+      "strokeColor": "#CECDCC",
+      "backgroundColor": "transparent",
+      "fillStyle": "hachure",
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+      "roughness": null,
+      "penOptions": {
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+        "outlineWidth": 1,
+        "options": {
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+            "cap": true,
+            "taper": true,
+            "easing": "linear"
+          }
+        }
+      }
+    },
+    {
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+      "strokeColor": "#CECDCC",
+      "backgroundColor": "transparent",
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+      "roughness": null,
+      "penOptions": {
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+        "options": {
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+          }
+        }
+      }
+    },
+    {
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+      "strokeColor": "#000000",
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+      "fillStyle": "hachure",
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+          }
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+      }
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+      "strokeColor": "#000000",
+      "backgroundColor": "transparent",
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+        "outlineWidth": 1,
+        "options": {
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+            "easing": "linear"
+          }
+        }
+      }
+    },
+    {
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+      "strokeColor": "#000000",
+      "backgroundColor": "transparent",
+      "fillStyle": "hachure",
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+      "roughness": 0,
+      "penOptions": {
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+            "taper": 0,
+            "easing": "linear"
+          }
+        }
+      }
+    }
+  ],
+  "numberOfCustomPens": 0,
+  "pdfScale": 4,
+  "pdfBorderBox": true,
+  "pdfFrame": false,
+  "pdfGapSize": 20,
+  "pdfGroupPages": false,
+  "pdfLockAfterImport": true,
+  "pdfNumColumns": 1,
+  "pdfNumRows": 1,
+  "pdfDirection": "right",
+  "pdfImportScale": 0.3,
+  "gridSettings": {
+    "DYNAMIC_COLOR": true,
+    "COLOR": "#000000",
+    "OPACITY": 50
+  },
+  "laserSettings": {
+    "DECAY_LENGTH": 50,
+    "DECAY_TIME": 1000,
+    "COLOR": "#ff0000"
+  },
+  "embeddableMarkdownDefaults": {
+    "useObsidianDefaults": false,
+    "backgroundMatchCanvas": false,
+    "backgroundMatchElement": true,
+    "backgroundColor": "#fff",
+    "backgroundOpacity": 60,
+    "borderMatchElement": true,
+    "borderColor": "#fff",
+    "borderOpacity": 0,
+    "filenameVisible": false
+  },
+  "markdownNodeOneClickEditing": false,
+  "canvasImmersiveEmbed": true,
+  "startupScriptPath": "",
+  "openAIAPIToken": "",
+  "openAIDefaultTextModel": "gpt-3.5-turbo-1106",
+  "openAIDefaultVisionModel": "gpt-4o",
+  "openAIDefaultImageGenerationModel": "dall-e-3",
+  "openAIURL": "https://api.openai.com/v1/chat/completions",
+  "openAIImageGenerationURL": "https://api.openai.com/v1/images/generations",
+  "openAIImageEditsURL": "https://api.openai.com/v1/images/edits",
+  "openAIImageVariationURL": "https://api.openai.com/v1/images/variations",
+  "modifierKeyConfig": {
+    "Mac": {
+      "LocalFileDragAction": {
+        "defaultAction": "image-import",
+        "rules": [
+          {
+            "shift": false,
+            "ctrl_cmd": false,
+            "alt_opt": false,
+            "meta_ctrl": false,
+            "result": "image-import"
+          },
+          {
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+            "ctrl_cmd": false,
+            "alt_opt": true,
+            "meta_ctrl": false,
+            "result": "link"
+          },
+          {
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+            "ctrl_cmd": false,
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+            "meta_ctrl": false,
+            "result": "image-url"
+          },
+          {
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+            "ctrl_cmd": false,
+            "alt_opt": true,
+            "meta_ctrl": false,
+            "result": "embeddable"
+          }
+        ]
+      },
+      "WebBrowserDragAction": {
+        "defaultAction": "image-url",
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+          },
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+            "result": "embeddable"
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+          }
+        ]
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+            "result": "embeddable"
+          },
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+          },
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+          }
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+            "meta_ctrl": false,
+            "result": "active-pane"
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+            "result": "new-tab"
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+            "meta_ctrl": false,
+            "result": "new-pane"
+          },
+          {
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+            "ctrl_cmd": true,
+            "alt_opt": true,
+            "meta_ctrl": false,
+            "result": "popout-window"
+          },
+          {
+            "shift": false,
+            "ctrl_cmd": true,
+            "alt_opt": false,
+            "meta_ctrl": true,
+            "result": "md-properties"
+          }
+        ]
+      }
+    },
+    "Win": {
+      "LocalFileDragAction": {
+        "defaultAction": "image-import",
+        "rules": [
+          {
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+            "alt_opt": false,
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+            "result": "image-import"
+          },
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+            "result": "embeddable"
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+            "result": "image-import"
+          }
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+            "result": "active-pane"
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+            "result": "new-pane"
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+            "ctrl_cmd": true,
+            "alt_opt": true,
+            "meta_ctrl": false,
+            "result": "popout-window"
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+            "alt_opt": false,
+            "meta_ctrl": true,
+            "result": "md-properties"
+          }
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+    }
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+  "areaZoomLimit": 1,
+  "longPressDesktop": 500,
+  "longPressMobile": 500,
+  "doubleClickLinkOpenViewMode": true,
+  "isDebugMode": false,
+  "rank": "Bronze",
+  "modifierKeyOverrides": [
+    {
+      "modifiers": [
+        "Mod"
+      ],
+      "key": "Enter"
+    },
+    {
+      "modifiers": [
+        "Mod"
+      ],
+      "key": "k"
+    },
+    {
+      "modifiers": [
+        "Mod"
+      ],
+      "key": "G"
+    }
+  ],
+  "showSplashscreen": true,
+  "pdfSettings": {
+    "pageSize": "A4",
+    "pageOrientation": "portrait",
+    "fitToPage": 1,
+    "paperColor": "white",
+    "customPaperColor": "#ffffff",
+    "alignment": "center",
+    "margin": "normal"
+  }
+}

.obsidian/plugins/obsidian-excalidraw-plugin/manifest.json

@@ -0,0 +1,12 @@
+{
+  "id": "obsidian-excalidraw-plugin",
+  "name": "Excalidraw",
+  "version": "2.8.3",
+  "minAppVersion": "1.1.6",
+  "description": "An Obsidian plugin to edit and view Excalidraw drawings",
+  "author": "Zsolt Viczian",
+  "authorUrl": "https://www.zsolt.blog",
+  "fundingUrl": "https://ko-fi.com/zsolt",
+  "helpUrl": "https://github.com/zsviczian/obsidian-excalidraw-plugin#readme",
+  "isDesktopOnly": false
+}

.obsidian/types.json

@@ -0,0 +1,27 @@
+{
+  "types": {
+    "aliases": "aliases",
+    "cssclasses": "multitext",
+    "tags": "tags",
+    "excalidraw-plugin": "text",
+    "excalidraw-export-transparent": "checkbox",
+    "excalidraw-mask": "checkbox",
+    "excalidraw-export-dark": "checkbox",
+    "excalidraw-export-padding": "number",
+    "excalidraw-export-pngscale": "number",
+    "excalidraw-export-embed-scene": "checkbox",
+    "excalidraw-link-prefix": "text",
+    "excalidraw-url-prefix": "text",
+    "excalidraw-link-brackets": "checkbox",
+    "excalidraw-onload-script": "text",
+    "excalidraw-linkbutton-opacity": "number",
+    "excalidraw-default-mode": "text",
+    "excalidraw-font": "text",
+    "excalidraw-font-color": "text",
+    "excalidraw-border-color": "text",
+    "excalidraw-css": "text",
+    "excalidraw-autoexport": "text",
+    "excalidraw-embeddable-theme": "text",
+    "excalidraw-open-md": "checkbox"
+  }
+}

education/math/MATH1210 (calc 1)/Derivatives.md

@@ -122,7 +122,15 @@ $$ \dfrac{d}{dx}(\dfrac{f(x)}{g(x)}) = \dfrac{f'(x)g(x) -f(x)g'(x)}{(g(x))^2}  $
 $$ \dfrac{d}{dx} e^x = e^x $$
 $$ \dfrac{d}{dx}a^x = a^x*(\ln(a)) $$
 for all $a > 0$
+# Logarithms
 
+For natural logarithms:
+$$ \dfrac{d}{dx} \ln |x| = \dfrac{1}{x} $$
+
+For other logarithms:
+$$ \dfrac{d}{dx} \log_a x = \dfrac{1}{(\ln a) x}$$
+When solving problems that make use of logarithms, consider making use of logarithmic properties to make life easier, eg:
+$$ \ln(\dfrac{x}{y}) = \ln(x) - \ln(y) $$
 # Chain Rule
 $$ \dfrac{d}{dx} f(g(x)) = f'(g(x))*g'(x) $$
 ## Examples
@@ -171,4 +179,3 @@ Given these facts:
 8. $\dfrac{d}{dx} x = 1$
 9. $\dfrac{d}{dx} y = \dfrac{dy}{dx}$\
 
-## Examples