.obsidian/file-recovery.json

@@ -1,4 +0,0 @@
-{
-  "intervalMinutes": 5,
-  "keepDays": 7
-}

.obsidian/plugins/execute-code/data.json

@@ -1,169 +0,0 @@
-{
-  "lastOpenLanguageTab": "c",
-  "timeout": 10000,
-  "allowInput": true,
-  "wslMode": false,
-  "shellWSLMode": false,
-  "onlyCurrentBlock": false,
-  "nodePath": "node",
-  "nodeArgs": "",
-  "jsFileExtension": "js",
-  "jsInject": "",
-  "tsPath": "ts-node",
-  "tsArgs": "",
-  "tsInject": "",
-  "leanPath": "lean",
-  "leanArgs": "",
-  "leanInject": "",
-  "luaPath": "lua",
-  "luaArgs": "",
-  "luaFileExtension": "lua",
-  "luaInject": "",
-  "dartPath": "dart",
-  "dartArgs": "",
-  "dartFileExtension": "dart",
-  "dartInject": "",
-  "csPath": "dotnet-script",
-  "csArgs": "",
-  "csFileExtension": "csx",
-  "csInject": "",
-  "pythonPath": "python",
-  "pythonArgs": "",
-  "pythonEmbedPlots": true,
-  "pythonFileExtension": "py",
-  "pythonInject": "",
-  "shellPath": "bash",
-  "shellArgs": "",
-  "shellFileExtension": "sh",
-  "shellInject": "",
-  "batchPath": "call",
-  "batchArgs": "",
-  "batchFileExtension": "bat",
-  "batchInject": "",
-  "groovyPath": "groovy",
-  "groovyArgs": "",
-  "groovyFileExtension": "groovy",
-  "groovyInject": "",
-  "golangPath": "go",
-  "golangArgs": "run",
-  "golangFileExtension": "go",
-  "goInject": "",
-  "javaPath": "java",
-  "javaArgs": "-ea",
-  "javaFileExtension": "java",
-  "javaInject": "",
-  "maxPrologAnswers": 15,
-  "prologInject": "",
-  "powershellPath": "powershell",
-  "powershellArgs": "-file",
-  "powershellFileExtension": "ps1",
-  "powershellInject": "$OutputEncoding = [console]::InputEncoding = [console]::OutputEncoding = New-Object System.Text.UTF8Encoding",
-  "powershellEncoding": "latin1",
-  "cargoPath": "cargo",
-  "cargoEvalArgs": "",
-  "rustInject": "",
-  "cppRunner": "cling",
-  "cppFileExtension": "cpp",
-  "cppInject": "",
-  "cppArgs": "",
-  "cppUseMain": false,
-  "clingPath": "gcc",
-  "clingArgs": "",
-  "clingStd": "c++17",
-  "rustFileExtension": "rs",
-  "RPath": "Rscript",
-  "RArgs": "",
-  "REmbedPlots": true,
-  "RFileExtension": "R",
-  "rInject": "",
-  "kotlinPath": "kotlinc",
-  "kotlinArgs": "-script",
-  "kotlinFileExtension": "kts",
-  "kotlinInject": "",
-  "swiftPath": "swift",
-  "swiftArgs": "",
-  "swiftFileExtension": "swift",
-  "swiftInject": "",
-  "runghcPath": "runghc",
-  "ghcPath": "ghc",
-  "ghciPath": "ghci",
-  "useGhci": false,
-  "haskellInject": "",
-  "mathematicaPath": "wolframscript",
-  "mathematicaArgs": "-file",
-  "mathematicaFileExtension": "wls",
-  "mathematicaInject": "",
-  "scalaPath": "scala",
-  "scalaArgs": "",
-  "scalaFileExtension": "scala",
-  "scalaInject": "",
-  "racketPath": "racket",
-  "racketArgs": "",
-  "racketFileExtension": "rkt",
-  "racketInject": "#lang racket",
-  "fsharpPath": "dotnet",
-  "fsharpArgs": "",
-  "fsharpInject": "",
-  "fsharpFileExtension": "fsx",
-  "cArgs": "",
-  "cUseMain": true,
-  "cInject": "",
-  "rubyPath": "ruby",
-  "rubyArgs": "",
-  "rubyFileExtension": "rb",
-  "rubyInject": "",
-  "sqlPath": "psql",
-  "sqlArgs": "-d <database> -U <user> -f",
-  "sqlInject": "",
-  "octavePath": "octave",
-  "octaveArgs": "-q",
-  "octaveFileExtension": "m",
-  "octaveInject": "figure('visible','off')  # Necessary to embed plots",
-  "maximaPath": "maxima",
-  "maximaArgs": "-qb",
-  "maximaFileExtension": "mx",
-  "maximaInject": "",
-  "applescriptPath": "osascript",
-  "applescriptArgs": "",
-  "applescriptFileExtension": "scpt",
-  "applescriptInject": "",
-  "zigPath": "zig",
-  "zigArgs": "run",
-  "zigInject": "",
-  "ocamlPath": "ocaml",
-  "ocamlArgs": "",
-  "ocamlInject": "",
-  "jsInteractive": true,
-  "tsInteractive": false,
-  "csInteractive": false,
-  "leanInteractive": false,
-  "luaInteractive": false,
-  "dartInteractive": false,
-  "pythonInteractive": true,
-  "cppInteractive": false,
-  "prologInteractive": false,
-  "shellInteractive": false,
-  "batchInteractive": false,
-  "bashInteractive": false,
-  "groovyInteractive": false,
-  "rInteractive": false,
-  "goInteractive": false,
-  "rustInteractive": false,
-  "javaInteractive": false,
-  "powershellInteractive": false,
-  "kotlinInteractive": false,
-  "swiftInteractive": false,
-  "mathematicaInteractive": false,
-  "haskellInteractive": false,
-  "scalaInteractive": false,
-  "fsharpInteractive": false,
-  "cInteractive": false,
-  "racketInteractive": false,
-  "rubyInteractive": false,
-  "sqlInteractive": false,
-  "octaveInteractive": false,
-  "maximaInteractive": false,
-  "applescriptInteractive": false,
-  "zigInteractive": false,
-  "ocamlInteractive": false
-}

education/math/MATH1060 (trig)/Graphing.md

@@ -74,53 +74,11 @@ Given the form $y = A\tan(Bx - C) + D$ (the same applies for $\cot$)
 - The range of both is $(-\infty, \infty)$
 - The phase shift is $\frac{C}{B}$
 - The vertical shift is $D$
-
-# Secant
-$$ y = \sec(x) $$
-![Graph of secant](assets/graphsec.jpg)
-
-$$ sec(x) = \frac{1}{\cos{x}} $$
-Because secant is the reciprocal of cosine, when $\cos{x} = 0$, then secant is undefined. $|\cos$| is never *greater than* 1, so secant is never *less than* 1 in absolute value. When the graph of cosine crosses the x axis, an asymptote for a matching graph of secant will appear there. 
-
-The general form of secant is:
-$$ y = A\sec(B{x} - C) + D $$
-$A$, $B$, $C$, and $D$ will have similar meanings to the secant function as they did to the sine and cosine functions. 
-
-# Cosecant
-$$ y = \csc(x) $$
-![Graph of cosecant](assets/graphsec.jpg)
-
-$$ \csc(x) = \frac{1}{\sin(x)} $$
-
-Because cosecant is the reciprocal of sine, when $\sin{x} = 0$, then cosecant is undefined. $|\sin$| is never *greater than* 1, so secant is never *less than* 1 in absolute value. When the graph of sine crosses the x axis, an asymptote for a matching graph of cosecant will appear there. 
-
-The general form of cosecant is:
-$$ y = A\csc(B{x} - C) + D $$
-$A$, $B$, $C$, and $D$ will have similar meanings to the cosecant function as they did to the sine and cosine functions. 
-
-# Features of Secant and Cosecant
-- The stretching factor is $|A|$
-- The period is $\frac{2\pi}{|B|}$
-- The domain of secant is all $x$, where $x \ne \frac{C}{B} + \frac{\pi}{2} + \frac{\pi}{|B|}k$, where $k$ is an integer. (Every half period + phase shift is where asymptotes appear)
-- The domain of cosecant is all $x$, where $x \ne \frac{C}{B} + \frac{\pi}{|B|}k$, where $k$ is an integer.
-- The range is $(\infty, -|A| +D]\cup [|A| + D], \infty)$
-- The vertical asymptotes of secant occur at $x = \frac{C}{B} + \frac{\pi}{2} + \frac{\pi}{2} + \frac{\pi}{|B|}k$, where $k$ is an integer.
-- The vertical asymptotes of cosecant occur at $x = \frac{C}{B} + \frac{\pi}{|B|}k$, where $k$ is an integer.
-- The vertical shift is $D$. 
 # Examples
 > Given $-2\tan(\pi*x + \pi) - 1$
 
  $A = -2$, $B = \pi$, $C = -\pi$, $D = -1$
   
-> Identify the vertical stretch/compress factor, period, phase shift, and vertical shift of the function $y = 4\sec(\frac{\pi}{3}x - \frac{\pi}{2}) + 1$ 
-
-$A = 4$, $B = \frac{\pi}{3}$, $C = \frac{\pi}{2}$, $D = 4$
-
-Vertical stretch: $|4| = 4$
-Period: $\frac{2\pi}{\frac{\pi}{3}} = \frac{2\pi}{1} * \frac{3}{\pi} = 6$
-Phase shift: $\dfrac{\frac{\pi}{2}}{\frac{\pi}{3}} = \frac{3}{2}$
-Vertical shift: $1$
-
 | Transformation | Equation                  |
 | -------------- | ------------------------- |
 | Stretch        | $\|-2\| = 2$              |