diff --git a/content/-2x(x-3) exp(2)+8.svg b/content/-2x(x-3) exp(2)+8.svg deleted file mode 100644 index 6cda687bc7ebf..0000000000000 --- a/content/-2x(x-3) exp(2)+8.svg +++ /dev/null @@ -1,98 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -5 - -5 - - - 5 - 5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/-8x exp(4)+2x-1.svg b/content/-8x exp(4)+2x-1.svg deleted file mode 100644 index f8eeb310a1db5..0000000000000 --- a/content/-8x exp(4)+2x-1.svg +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/-8x exp5+2x exp2-1.svg b/content/-8x exp5+2x exp2-1.svg deleted file mode 100644 index c85c3c94df3b8..0000000000000 --- a/content/-8x exp5+2x exp2-1.svg +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/.gitkeep b/content/.gitkeep deleted file mode 100644 index e69de29bb2d1d..0000000000000 diff --git a/content/8x exp(4)+2x-1.svg b/content/8x exp(4)+2x-1.svg deleted file mode 100644 index 9d5e031ebf1de..0000000000000 --- a/content/8x exp(4)+2x-1.svg +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/8x exp(5)+2x exp(2)-1.svg b/content/8x exp(5)+2x exp(2)-1.svg deleted file mode 100644 index e2cf15287b39f..0000000000000 --- a/content/8x exp(5)+2x exp(2)-1.svg +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/Absolute Values in Algebra.md b/content/Absolute Values in Algebra.md deleted file mode 100644 index 37965116b507d..0000000000000 --- a/content/Absolute Values in Algebra.md +++ /dev/null @@ -1,66 +0,0 @@ ---- -publish: true ---- - -Absolute values in algebra is a bit weird but aside from some specific rules they're pretty fun to solve. - -First off, **you cannot change the inside signs of an absolute value**. Here's an example: -$$ --3+|x-4|=2 -$$ -When solving for this, the first step is to make sure that once you get **just** the absolute values on one side and the rest of the equation on the other, the rest of the equation must be **positive**, if it's negative it's not a number. - -$$ -\begin{gather} --3+|x-4|=2 \\ -\downarrow \\ -|x-4|=2 + 3 \\ -\downarrow \\ -|x-4|=5 -\end{gather} -$$ - -If that works, then you must do two things rewrite the equation twice without the abs signs, one as normal and the other where the result is negative. Then solve the equation - -$$ -\begin{gather} --3+|x-4|=2 \\ -\downarrow \\ -|x-4|=2 + 3 \\ -\downarrow \\ -|x-4|=5 \\ -\downarrow \\ -x-4=5 \ \ \ \ \ \ \ \ \ \ x-4=-5 -\\ -x=9 \ \ \ \ \ \ \ \ \ \ x=-1 \\ -\textcolor{blue}{x = -1,9} -\end{gather} -$$ -## Absolute Values in Equality Equations -Handling equality equations are pretty much the same, aside from a couple things. - -First, rewrite the equality as a normal equation: -$$ -\begin{gather} --3+|x-4| \geq 2 \\ -\downarrow \\ --3+|x-4| = 2 \\ -\end{gather} -$$ -Solve like normal, however instead of writing the solution like normal, you need to perform an additional check to see how many intervals it has. - -An ABS value can result in either a single interval like $(x,y)$, or two intervals like $(-\infty,x)u(y,\infty)$ - -In order to test, replace x in the equation with a number (or two, or three) and if it fails where it should be true (or vice versa) that will tell you all you need to know! - -I personally test something *between the two values*, but any value can work. - -$$ -\begin{gather} -\textcolor{blue}{(-1,9)}\\ --3+|(7)-4|\geq2\\ -\color{red}0\geq2\\ -\end{gather} -$$ - -As you can see in the above, 7 results in 0, which fails the equality, therefore the answer is $(-\infty,-1)u(9,\infty)$! diff --git a/content/Big Unorganized Math Notes.md b/content/Big Unorganized Math Notes.md deleted file mode 100644 index efe158900a687..0000000000000 --- a/content/Big Unorganized Math Notes.md +++ /dev/null @@ -1,134 +0,0 @@ ---- -publish: true ---- - - -Turns out making specific pages for each note has been bad for me actually making notes, so here I'm just gonna spam all the notes without much explaining. I'll spin em off into their own notes later, or not, we'll see lmao - -## Polynomial functions -### Graph Behavior -When the degree is **even** and the leading coefficient is **positive** -$$ -x\rightarrow-\infty,\; y\rightarrow\infty\\ -$$ -$$ -x\rightarrow\infty,\; y\rightarrow\infty -$$ -> [!graph] -> ![[8x exp(4)+2x-1.svg|8x exp(4)+2x-1.svg]] - - -When the degree is **even** and the leading coefficient is **negative** -$$ -x\rightarrow-\infty,\; y\rightarrow-\infty -$$ -$$ -x\rightarrow\infty,\; y\rightarrow-\infty -$$ -> [!graph] -> ![[-8x exp(4)+2x-1.svg|-8x exp(4)+2x-1.svg]] - -When the degree is **odd** and the leading coefficient is **positive** -$$ -x\rightarrow-\infty,\; y\rightarrow-\infty -$$ -$$ -x\rightarrow\infty,\; y\rightarrow\infty -$$ -> [!graph] -> ![[8x exp(5)+2x exp(2)-1.svg|8x exp(5)+2x exp(2)-1.svg]] - -When the degree is **odd** and the leading coefficient is **negative** -$$ -x\rightarrow-\infty,\; y\rightarrow\infty -$$ -$$ -x\rightarrow\infty,\; y\rightarrow-\infty -$$ -> [!graph] -> ![[-8x exp5+2x exp2-1.svg|-8x exp5+2x exp2-1.svg]] - -Because of this you can determine the the behavior just by looking at the function - -## Zeroes of a Polynomial function -All x-intercepts are zeroes (also known as *roots*) of a polynomial function, but not all zeroes of a polynomial function are x-intercepts. - -Also all zeroes of function are a part of its factor! If $x=a$ is a zero of $f(x)$ then $(x-a)$ is a factor of $f(x)$. - - -To find the zeroes of a function, you set $f(x)$ to be 0, and then solve by factoring (You probably will need the [[Important Formulas|Important Formulas]]). -$$ -\begin{gather} -f(x)=2x^2+11x-6\\ -2x^2+11x-6=0\\ -(x+6)(2x-1)=0\\ -x=-6,\,\frac{1}{2} -\end{gather} -$$ - -There can't be more zeroes than the degree of a function. - -If you use the [[Important Formulas|Important Formulas]] and get an imaginary number, it's still a valid zero, even if it's not a valid x-intercept. - -So a function with a degree of 8, can have up to 8 zeroes, but they can be less. - -### Multiplicities -A repeated zero is one that's repeated, usually denoted by raising it to a certain power. - -For example: - -$$ -g(x)=x^3-3x-2=(x-2)(x+1)^2 -$$ -As a result, the zeroes of this function are $x=2,\,x-1$. You don't write the duplicated zero twice, however you describe it by having a multiplicity of 2 (or 3, or however many times that zero shows up) - -For example: -$$ -h(x)=x^3+9x^2+27x+27=(x+3)^3 -$$ -The zero for this would be $x=-3$ with a multiplicity of 3. - -When the multiplicity is **even**, the graph **bounces** off the x-axis but does not cross it. - -When the multiplicity is **odd**, then the graph **crosses** the x-axis. - -## Characteristics of a graph -Let's step through how to find the following characteristics of the following function and graph -$$ -f(x)=-2x(x-3)^2+8 -$$ -> [!graph] -> ![[-2x(x-3) exp(2)+8.svg|-2x(x-3) exp(2)+8.svg]] - -- [[Big Unorganized Math Notes#Determine if the graph opens up or down|Determine if the graph opens up or down]] -- [[Big Unorganized Math Notes#Find any x-intercepts|Find any x-intercepts]] -- [[Big Unorganized Math Notes#Find any y-intercepts|Find any y-intercepts]] -- [[Big Unorganized Math Notes#Find the Vertex|Find the Vertex]] -- [[Big Unorganized Math Notes#Determine if it is maximum or minimum|Determine if it is maximum or minimum]] -- [[Big Unorganized Math Notes#Graph the function by hand|Graph the function by hand]] -- [[Big Unorganized Math Notes#Determine the intervals on which the function is increasing and/or decreasing|Determine the intervals on which the function is increasing and/or decreasing]] -- [[Big Unorganized Math Notes#Find the domain|Find the domain]] -- [[Big Unorganized Math Notes#Find the range|Find the range ]] - -### Determine if the graph opens up or down -This is determined by whether or not the **leading coefficient** is **positive or negative** -### Find any x-intercepts -### Find any y-intercepts -### Find the Vertex -### Determine if it is maximum or minimum -### Graph the function by hand -### Determine the intervals on which the function is increasing and/or decreasing -### Find the domain -#### Find the range - - -## Synthetic division -given this equation -$$ -3x^3+17x^2+12x-6 -$$ -You can find all the real zeros by first either checking it by calc and picking one of the x intercepts, or listing all the possible zeroes by dividing the factors o the leading coefficient by the factors of the constant! Once you have one zero use synthetic division to keep reducing it until it's a quadratic equation! -$$ -\begin{array}{c|rrr}&3&17&12&-6\\\frac{1}{3}&&1&6&6\\\hline\\&3&18&18&0\\\end{array} - -$$ \ No newline at end of file diff --git a/content/Books.md b/content/Books.md deleted file mode 100644 index 7a8d152ebd6f8..0000000000000 --- a/content/Books.md +++ /dev/null @@ -1,18 +0,0 @@ ---- -tags: - - personal -publish: true ---- - -A place for me to talk about books. - -## Favorite books -- The Locked Tomb series - - I actually have a (neglected) web shrine [ninthtomb.rip](https://ninthtomb.rip) but unfortunately I haven't done much with it yet. -- The Raven Cycle -- The Spiderwick Chronicles -- This Discworld Series -- Six of Crows Duology - -## Path Forks -- [[Textbook Collection|Textbook Collection]] \ No newline at end of file diff --git a/content/Completing The Square.md b/content/Completing The Square.md deleted file mode 100644 index bab256c3f2b3e..0000000000000 --- a/content/Completing The Square.md +++ /dev/null @@ -1,35 +0,0 @@ ---- -publish: true ---- - -Sometimes it's easier to modify an equation so it becomes a full quadradic equation. - -Take the following: - -$$ -x^2+8x+11=0 -$$ -As it is this is not factorable, and while you can use quadratic method instead, you can force it to be factorable! - -You can do this whenever the b term is *even*, this will not work if b term is *odd*. - -First, move the c term to the other side of the equation, then multiply the middle term by 2 and add it to both sides of the equation -$$ -\begin{align} -x^2+8x+16 &=-11+16 \\ -\color{blue}x^2+8x+16&=\color{blue}5 -\end{align} -$$ -Now, because the equation is in the format of $x^2+bx+2(b)=c$, we can rewrite it as the following! -$$ -(x+4)^2=5 -$$ -Now you can use the square root property! - -$$ -\begin{align} -\sqrt{ (x+4)^2 }&=\pm\sqrt{ 5 }\\ -x+4&=\pm \sqrt{ 5 } \\ -\color{blue}x&=\color{blue}-4\pm \sqrt{ 5 } -\end{align} -$$ \ No newline at end of file diff --git a/content/Domains.md b/content/Domains.md deleted file mode 100644 index 2877b88fb17b9..0000000000000 --- a/content/Domains.md +++ /dev/null @@ -1,11 +0,0 @@ ---- -publish: true ---- - - -## Languages & Frameworks -[[Rustlang|Rust]] -[[Svelte|Svelte]] / [[Svelte#Sveltekit|Sveltekit]] -Godot - -## Software diff --git a/content/Drawing Functions & Back Again.md b/content/Drawing Functions & Back Again.md deleted file mode 100644 index 31a5d3874f774..0000000000000 --- a/content/Drawing Functions & Back Again.md +++ /dev/null @@ -1,16 +0,0 @@ ---- -publish: true ---- - -Take the following graph -![[drawing functions 2.svg|drawing functions 2.svg]] - -In order to recreate (one possible) function we need to do the following: -1. Determine the end-behavior, and decide if it's a reflection or not (this one is a reflection of a ^2!) -2. Determine its stretch/squash - - count the squares, if its over more than 1 then add that many as the denominator (the above would be 1/2) and you got the coefficient! - - Otherwise if its taller more than 1 before it crosses a point add that many and add that as the coefficient! - - ![[Pasted image 20231203190826.png|Pasted image 20231203190826.png]] - - This would be 2! - - Think of it like when you find the slope, by going $\frac{rise}{run}$ -3. Next add the adjustments to the vertex as appropriate! inside the parathesis for horizontal movement and outside for vertical movement \ No newline at end of file diff --git a/content/Exponents.md b/content/Exponents.md deleted file mode 100644 index 415000565889c..0000000000000 --- a/content/Exponents.md +++ /dev/null @@ -1,5 +0,0 @@ ---- -publish: true ---- - -Exponents are pretty easy to understand if you understand what squaring and cubing are, but exponential functions are a little wacky. \ No newline at end of file diff --git a/content/Flutter & Dart.md b/content/Flutter & Dart.md deleted file mode 100644 index 25c0dcc9df7f3..0000000000000 --- a/content/Flutter & Dart.md +++ /dev/null @@ -1,11 +0,0 @@ ---- -publish: true ---- - -Interesting!!! -## Resources -[Flame](https://docs.flame-engine.org/latest/) - -[Casual Games Toolkit](https://flutter.dev/games) - -[Schedule Local](https://pub.dev/packages/flutter_local_notifications) \ No newline at end of file diff --git a/content/Flutter.md b/content/Flutter.md deleted file mode 100644 index c392a8468a1f7..0000000000000 --- a/content/Flutter.md +++ /dev/null @@ -1,9 +0,0 @@ ---- -publish: true ---- - -Interesting. -## Resources -[Flame](https://docs.flame-engine.org/latest/) -[Casual Games Toolkit](https://flutter.dev/games) -[Schedule Local](https://pub.dev/packages/flutter_local_notifications) \ No newline at end of file diff --git a/content/Formulas.md b/content/Formulas.md deleted file mode 100644 index 8c898698ef58b..0000000000000 --- a/content/Formulas.md +++ /dev/null @@ -1,22 +0,0 @@ ---- -publish: true ---- - -You can't have math without formulas!!!!!!!!!!!!!!!!!!!!!!!!! - -## Continuous Growth -$$ -A=Pe^{rt} -$$ -## Annual Growth -$$ -A=P(1+\frac{r}{n})^{nt} -$$ -## Circle -$$ -(x-h)^2+(y-k)^2=r^2 -$$ -## Find all the possible zeroes -$$ -\frac{\pm\text{All factors of coefficient}}{\pm \text{All factors of constant}} -$$ \ No newline at end of file diff --git a/content/Goals.md b/content/Goals.md deleted file mode 100644 index f329e86afcc89..0000000000000 --- a/content/Goals.md +++ /dev/null @@ -1,42 +0,0 @@ ---- -publish: true -tags: - - personal ---- - -A place for me to just talk off the cuff about my personal goals and plans. - -## Winter Break 2023 - -- Draw! Daily! - - Read and practice [The artist's way](https://en.wikipedia.org/wiki/The_Artist%27s_Way) -- Learn [[Typescript|Typescript]] - - I already know a lot of Javascript! -- Learn Processing and do some [[creative coding|creative coding]] - - [Looks like a great video about it](https://youtu.be/4JzDttgdILQ) -- Make EXEdeus - - Will be made with [[Godot|Godot]] - - A PWA app with most (if not all) local running - - I've already started a bit on it, but I need to workout the command parsing - - The goal is to create a good system for AFK dungeon delving, similar to how it's done in [Logging Quest](https://play.google.com/store/apps/details?id=com.shirobakama.logquest2&hl=en_US&gl=US&pli=1) for use in faemon eventually. -- Restart learning [[Japanese|Japanese]] - - Especially using my new [[Textbook Collection#Japanese|textbooks]] -- [[Books|Read more!!]] -- Play Games!! -- Get my [custom markdown blog](https://github.com/bluerosegarden/magical-musings) setup -- [[Exercise|Exercise]] - - Improve endurance, I need to do research on it and find a good method to do so. - - Wait until treadmill is installed? -- Meditate -- Organize my Obsidian Vault - - [ ] Remove unused plugins - - [ ] Decide on organizing structure - - I need a system that both works with my ADHD and still makes it easier to find things long-term - - Excalibrain? - - [Johnny Decimal](https://johnnydecimal.com/) didn't work out before, and I ended up spending more time trying to organize before just writing down files. Maybe only implement this for folders and not files? And only for long-term storage - - Also use tags!! Tags are important. Also links!! - - But what to tag and what to just put in folders? Maybe little to no folders? - - [LATCH](https://www.youtube.com/watch?v=vS-b_RUtL1A) method sounds nice maybe. - - [A.C.C.E.S.S.](https://www.youtube.com/watch?v=p0zWJ-TLghw) method. - - [ ] Delete & Consolidate useless notes - - [ ] Pull everything out of old vault and into new vault diff --git a/content/Important Formulas.md b/content/Important Formulas.md deleted file mode 100644 index 9b1dd740a2364..0000000000000 --- a/content/Important Formulas.md +++ /dev/null @@ -1,12 +0,0 @@ ---- -publish: true -tags: - - math ---- - - -## Quadratic formula -The classic -$$ -\frac{-b\pm \sqrt{ b^2-4ac }}{2a} -$$ diff --git a/content/Inverse Functions 2.svg b/content/Inverse Functions 2.svg deleted file mode 100644 index b41f0ed155714..0000000000000 --- a/content/Inverse Functions 2.svg +++ /dev/null @@ -1 +0,0 @@ -Y axisX axis00-1-1112233-1-1112233Expression 1Expression 2Expression 3 \ No newline at end of file diff --git a/content/Japanese.md b/content/Japanese.md deleted file mode 100644 index 628088336e97f..0000000000000 --- a/content/Japanese.md +++ /dev/null @@ -1,11 +0,0 @@ ---- -publish: true -tags: - - learning ---- - -This is my main page for collecting resources and planning my Japanese journey - -# Resources - -![[Textbook Collection#Japanese|Textbook Collection > Japanese]] \ No newline at end of file diff --git a/content/Linguistics.md b/content/Linguistics.md deleted file mode 100644 index d100f144550c4..0000000000000 --- a/content/Linguistics.md +++ /dev/null @@ -1,34 +0,0 @@ ---- -publish: true -tags: - - learning ---- - -I am fascinated by language and the ways they evolve and the forms they take. While I mainly want to study linguistics in order to better help me learn [[Japanese|Japanese]], I would love to develop a conlang or two with it. - -## Resources -### Sites -+ https://iamautodidact.com/how-to-study-linguistics-on-your-own/ -+ https://allthingslinguistic.com/post/164874346205/how-to-teach-yourself-linguistics-online-for-free -+ https://www.reddit.com/r/linguistics/comments/tua48/faq_i_want_to_learn_more_about_linguistics_where/ -+ https://linguistics.stackexchange.com/questions/15207/method-for-self-teaching -+ https://www.newyorker.com/magazine/2021/04/19/how-did-a-self-taught-linguist-come-to-own-an-indigenous-language - -### Books -Describing Morphosyntax by Thomas Payne - -#### Unorgqnized -Introduction to Linguistics -Contrastive Phonology -Semantics -Sociolinguistics - Additional Required reading -Bilingualism -African-American Vernacular English - Additional Required Reading -Structure of Modern English - -Other good books on language: -The Unfolding of Language -Through the Language Glass: Why the World Looks Different in Other Languages -The Loom of Language: An Approach to the Mastery of Many Languages -The Language Instinct (+) - diff --git a/content/Logarithms.md b/content/Logarithms.md deleted file mode 100644 index 406321dd09deb..0000000000000 --- a/content/Logarithms.md +++ /dev/null @@ -1,159 +0,0 @@ ---- -publish: true -tags: - - learning - - school ---- - -Logarithms are weird. - -Logarithms are really, *really* weird. - -They have lots of properties that are similar to both functions and variables, but they aren't either. They're lying to you. They're *[[Exponents|Exponents]]*! - -## Logarithms basics -At its core, a logarithm is the inverse of the following exponential function: -$$ -\begin{gathered} -f(x)=a^x \\ -y=a^x \\ -x=a^y -\end{gathered} -$$ -The graph of which is: -> [!note] -> -> -> - blue is $10^x$ -> - red is $x=10^y$, aka $\log x$ - -The above is reformatted as this: -$$ -\begin{align} -\color{blue}a^{\color{red}y}&=\color{green}x\\ -&\downarrow\\ -\log_{\color{blue}a}\color{green}x&=\color{red}y\\ -\end{align} -$$ -For reasons I do not know why, of the time it's assumed that the $a$ is 10 and is left out, so you usually see $\log_{10}x$ as $\log x$. Also for reasons I do not know why atm, is that $\log_{e}x$ is used so much that it gets its own dedicated shorthand, $\ln x$ - -## Logarithm interactions -When adding, subtracting, dividing, or even exponentially increasing logarithms, you can't simply do it. Remember, these are *exponents in disguise!* - -Because of that, they behave like exponents when they interact with each other! - -$$ -\begin{align} -\log(w \cdot n)&=\log w+ \log n \\ -\log(\frac{w}{n})&=\log w-\log n \\ -\log w^n&=n\cdot \log w -\end{align} -$$ - -But the *really* weird bit about logarithms is how if you want to evaluate a logarithm that isn't base 10, you can use the change of base formula and you get the answer, no extra steps needed!! - -$$ -\log_{a}x=\frac{\log_{b}x}{\log_{b}a} -$$ -The crazy thing is, b can be anything, not just base 10 and it'll work! For that reason it's often that people just use $\ln$ for $\log$ and vice versa. - -## Solving Logarithmic (and exponential!) equations - -There are a few different ways you can solve logarithm problems when the x variable is in the exponent or inside the logarithmic argument. - -However, remember that if the original problem was a $log$ then **x cannot be** $x <= 0$ - -### Special Cases -Since logs are exponents, there are a few special cases when it comes to solving them. - -#### A log of 1 equals zero -If you take the log of 1, it always equals zero no matter the base. This is because any number raised to 0 equals 1! -$$ -\begin{align} -\log_41&=0\\ -4^0&=1 -\end{align} -$$ -#### A log that matches the base equals 1 -This is because the only exponent that results in the same number, is 1, virtually no exponent! - -$$ -\begin{align} -\log10&=1\\ -10^1&=10\\ -&\downarrow\\ -10&=10 -\end{align} -$$ - -Same goes for $\ln$ and $e$ -$$ -\begin{align} -\ln e&=1\\ -e^1&=e\\ -&\downarrow\\ -e&=e -\end{align} -$$ - -### Set bases to be the same -If both sides of the equation are able to be rewritten so the bases are the same, you can set them to the same -$$ -\begin{align} -2^{4x}&=8 \\ -2^{4x}&=2^3 -\end{align} -$$ -Then you can simply ignore the bases and solve as normal! -$$ -\begin{align} -\cancel{2}^{4x}&=\cancel{2}^3 \\ -4x&=3 -\end{align} -$$ -### Rewrite as exponential (or logarithmic) -Sometimes its easiest to just convert an exponent to a logarithm! - -$$ -\begin{align} -4^{3x}&=7 \\ -&\downarrow \\ -\log_4 7&=3x \\ -&\downarrow\\ -\frac{\ln 7}{\ln 4}&=3x -\end{align} -$$ -Or an logarithm to an exponent! -$$ -\begin{align} -\log(2x+1)&=3 \\ -&\downarrow\\ -10^3&=2x+1 -\end{align} -$$ -> [!warning] -> If the problem was originally an exponent and *you* converted it into a logarithm, it's totally ok if the one of the solutions results in a negative log nor zero. However, **if the original problem is a logarithm then it cannot be a negative.** -> Example, $\log -3$ is incorrect. However $10^{-3}$ is totally fine! -### Log both sides first -Sometimes (especially if you have an $e$) simply taking the log of both sides is the easiest way to simplify it, because it removes it! - -$$ -\begin{align} -e^{x+1}&=2 \\ -&\downarrow\\ -\cancel\ln(\cancel{e}^{x+1})&=\ln(2)\\ -&\downarrow\\ -x+1&=0.69314718056 -\end{align} -$$ -### Ignore! -if both sides of the equation are logs, just ignore them! - -$$ -\begin{align} -\log(2x+1)&=\log(3x+6) \\ -&\downarrow \\ -2x+1&=3x+6 -\end{align} -$$ - diff --git a/content/Math Constellation Game Ideas.md b/content/Math Constellation Game Ideas.md deleted file mode 100644 index e7ba97a0fa9e9..0000000000000 --- a/content/Math Constellation Game Ideas.md +++ /dev/null @@ -1,37 +0,0 @@ ---- -publish: true -tags: - - gamedev - - programming - - learning ---- - -A game where you recreate a constellation using as few functions as possible - -Other ideas: the normal get problems to solve to reveal points for a map. Maybe ask teacher for help - -Draw mockup I guess?? And print out and show during class yeah - -Ok basically do this - -For programming create a dictionary containing the problems and their components, like {fx:2, fy:3: a:x, b:8, c:8} or however many elemenrs there are - -You build this by taking the actual end result (fx and fy) and fuckin with them until you get a function - -Ok how do you get the x's? By solving *another* math problem like -$$\begin{align} -4a+a=10\\ -a=2\\ -b-2=8\\ -b=10 -\end{align} -$$ - -Then swap em out or add them (or multiply) them together - -Generate huge formulae to get those values too - -$$ -x^4+3x^3-5x^2+2x+8=0 -$$ - diff --git a/content/Math Index.md b/content/Math Index.md deleted file mode 100644 index fd6bac4f943fb..0000000000000 --- a/content/Math Index.md +++ /dev/null @@ -1,23 +0,0 @@ ---- -publish: true ---- - -These are going to be all of my notes on math, ones that work specifically for me but may work for you - -## Resources -- [GeoGebra](https://www.geogebra.org/calculator) - - Great site to graph and export graphs to SVG. A little wonky if you want a specific size, but it works! -- [Desmos](https://www.desmos.com/calculator) - - The best site for graphing if you JUST want a line, no points or anything. You can export in png or SVG in a constant size (unlike GeoGebra) -- [Manim](https://www.manim.community/) - - Python library for animating math. Used by the likes of [3blue1brown](https://youtube.com/@3blue1brown?si=EvEK9JgeDwFAPkSk) - -## Paths -- [[Shortcuts|Shortcuts]] -- [[Absolute Values in Algebra|Absolute Values in Algebra]] -- [[Completing The Square|Completing The Square]] -- [[Big Unorganized Math Notes|Big Unorganized Math Notes]] -- [[Logarithms|Logarithms]] - - - diff --git a/content/Math/Absolute Values in Algebra.md b/content/Math/Absolute Values in Algebra.md deleted file mode 100644 index 37965116b507d..0000000000000 --- a/content/Math/Absolute Values in Algebra.md +++ /dev/null @@ -1,66 +0,0 @@ ---- -publish: true ---- - -Absolute values in algebra is a bit weird but aside from some specific rules they're pretty fun to solve. - -First off, **you cannot change the inside signs of an absolute value**. Here's an example: -$$ --3+|x-4|=2 -$$ -When solving for this, the first step is to make sure that once you get **just** the absolute values on one side and the rest of the equation on the other, the rest of the equation must be **positive**, if it's negative it's not a number. - -$$ -\begin{gather} --3+|x-4|=2 \\ -\downarrow \\ -|x-4|=2 + 3 \\ -\downarrow \\ -|x-4|=5 -\end{gather} -$$ - -If that works, then you must do two things rewrite the equation twice without the abs signs, one as normal and the other where the result is negative. Then solve the equation - -$$ -\begin{gather} --3+|x-4|=2 \\ -\downarrow \\ -|x-4|=2 + 3 \\ -\downarrow \\ -|x-4|=5 \\ -\downarrow \\ -x-4=5 \ \ \ \ \ \ \ \ \ \ x-4=-5 -\\ -x=9 \ \ \ \ \ \ \ \ \ \ x=-1 \\ -\textcolor{blue}{x = -1,9} -\end{gather} -$$ -## Absolute Values in Equality Equations -Handling equality equations are pretty much the same, aside from a couple things. - -First, rewrite the equality as a normal equation: -$$ -\begin{gather} --3+|x-4| \geq 2 \\ -\downarrow \\ --3+|x-4| = 2 \\ -\end{gather} -$$ -Solve like normal, however instead of writing the solution like normal, you need to perform an additional check to see how many intervals it has. - -An ABS value can result in either a single interval like $(x,y)$, or two intervals like $(-\infty,x)u(y,\infty)$ - -In order to test, replace x in the equation with a number (or two, or three) and if it fails where it should be true (or vice versa) that will tell you all you need to know! - -I personally test something *between the two values*, but any value can work. - -$$ -\begin{gather} -\textcolor{blue}{(-1,9)}\\ --3+|(7)-4|\geq2\\ -\color{red}0\geq2\\ -\end{gather} -$$ - -As you can see in the above, 7 results in 0, which fails the equality, therefore the answer is $(-\infty,-1)u(9,\infty)$! diff --git a/content/Math/Big Unorganized Math Notes.md b/content/Math/Big Unorganized Math Notes.md deleted file mode 100644 index efe158900a687..0000000000000 --- a/content/Math/Big Unorganized Math Notes.md +++ /dev/null @@ -1,134 +0,0 @@ ---- -publish: true ---- - - -Turns out making specific pages for each note has been bad for me actually making notes, so here I'm just gonna spam all the notes without much explaining. I'll spin em off into their own notes later, or not, we'll see lmao - -## Polynomial functions -### Graph Behavior -When the degree is **even** and the leading coefficient is **positive** -$$ -x\rightarrow-\infty,\; y\rightarrow\infty\\ -$$ -$$ -x\rightarrow\infty,\; y\rightarrow\infty -$$ -> [!graph] -> ![[8x exp(4)+2x-1.svg|8x exp(4)+2x-1.svg]] - - -When the degree is **even** and the leading coefficient is **negative** -$$ -x\rightarrow-\infty,\; y\rightarrow-\infty -$$ -$$ -x\rightarrow\infty,\; y\rightarrow-\infty -$$ -> [!graph] -> ![[-8x exp(4)+2x-1.svg|-8x exp(4)+2x-1.svg]] - -When the degree is **odd** and the leading coefficient is **positive** -$$ -x\rightarrow-\infty,\; y\rightarrow-\infty -$$ -$$ -x\rightarrow\infty,\; y\rightarrow\infty -$$ -> [!graph] -> ![[8x exp(5)+2x exp(2)-1.svg|8x exp(5)+2x exp(2)-1.svg]] - -When the degree is **odd** and the leading coefficient is **negative** -$$ -x\rightarrow-\infty,\; y\rightarrow\infty -$$ -$$ -x\rightarrow\infty,\; y\rightarrow-\infty -$$ -> [!graph] -> ![[-8x exp5+2x exp2-1.svg|-8x exp5+2x exp2-1.svg]] - -Because of this you can determine the the behavior just by looking at the function - -## Zeroes of a Polynomial function -All x-intercepts are zeroes (also known as *roots*) of a polynomial function, but not all zeroes of a polynomial function are x-intercepts. - -Also all zeroes of function are a part of its factor! If $x=a$ is a zero of $f(x)$ then $(x-a)$ is a factor of $f(x)$. - - -To find the zeroes of a function, you set $f(x)$ to be 0, and then solve by factoring (You probably will need the [[Important Formulas|Important Formulas]]). -$$ -\begin{gather} -f(x)=2x^2+11x-6\\ -2x^2+11x-6=0\\ -(x+6)(2x-1)=0\\ -x=-6,\,\frac{1}{2} -\end{gather} -$$ - -There can't be more zeroes than the degree of a function. - -If you use the [[Important Formulas|Important Formulas]] and get an imaginary number, it's still a valid zero, even if it's not a valid x-intercept. - -So a function with a degree of 8, can have up to 8 zeroes, but they can be less. - -### Multiplicities -A repeated zero is one that's repeated, usually denoted by raising it to a certain power. - -For example: - -$$ -g(x)=x^3-3x-2=(x-2)(x+1)^2 -$$ -As a result, the zeroes of this function are $x=2,\,x-1$. You don't write the duplicated zero twice, however you describe it by having a multiplicity of 2 (or 3, or however many times that zero shows up) - -For example: -$$ -h(x)=x^3+9x^2+27x+27=(x+3)^3 -$$ -The zero for this would be $x=-3$ with a multiplicity of 3. - -When the multiplicity is **even**, the graph **bounces** off the x-axis but does not cross it. - -When the multiplicity is **odd**, then the graph **crosses** the x-axis. - -## Characteristics of a graph -Let's step through how to find the following characteristics of the following function and graph -$$ -f(x)=-2x(x-3)^2+8 -$$ -> [!graph] -> ![[-2x(x-3) exp(2)+8.svg|-2x(x-3) exp(2)+8.svg]] - -- [[Big Unorganized Math Notes#Determine if the graph opens up or down|Determine if the graph opens up or down]] -- [[Big Unorganized Math Notes#Find any x-intercepts|Find any x-intercepts]] -- [[Big Unorganized Math Notes#Find any y-intercepts|Find any y-intercepts]] -- [[Big Unorganized Math Notes#Find the Vertex|Find the Vertex]] -- [[Big Unorganized Math Notes#Determine if it is maximum or minimum|Determine if it is maximum or minimum]] -- [[Big Unorganized Math Notes#Graph the function by hand|Graph the function by hand]] -- [[Big Unorganized Math Notes#Determine the intervals on which the function is increasing and/or decreasing|Determine the intervals on which the function is increasing and/or decreasing]] -- [[Big Unorganized Math Notes#Find the domain|Find the domain]] -- [[Big Unorganized Math Notes#Find the range|Find the range ]] - -### Determine if the graph opens up or down -This is determined by whether or not the **leading coefficient** is **positive or negative** -### Find any x-intercepts -### Find any y-intercepts -### Find the Vertex -### Determine if it is maximum or minimum -### Graph the function by hand -### Determine the intervals on which the function is increasing and/or decreasing -### Find the domain -#### Find the range - - -## Synthetic division -given this equation -$$ -3x^3+17x^2+12x-6 -$$ -You can find all the real zeros by first either checking it by calc and picking one of the x intercepts, or listing all the possible zeroes by dividing the factors o the leading coefficient by the factors of the constant! Once you have one zero use synthetic division to keep reducing it until it's a quadratic equation! -$$ -\begin{array}{c|rrr}&3&17&12&-6\\\frac{1}{3}&&1&6&6\\\hline\\&3&18&18&0\\\end{array} - -$$ \ No newline at end of file diff --git a/content/Math/Completing The Square.md b/content/Math/Completing The Square.md deleted file mode 100644 index bab256c3f2b3e..0000000000000 --- a/content/Math/Completing The Square.md +++ /dev/null @@ -1,35 +0,0 @@ ---- -publish: true ---- - -Sometimes it's easier to modify an equation so it becomes a full quadradic equation. - -Take the following: - -$$ -x^2+8x+11=0 -$$ -As it is this is not factorable, and while you can use quadratic method instead, you can force it to be factorable! - -You can do this whenever the b term is *even*, this will not work if b term is *odd*. - -First, move the c term to the other side of the equation, then multiply the middle term by 2 and add it to both sides of the equation -$$ -\begin{align} -x^2+8x+16 &=-11+16 \\ -\color{blue}x^2+8x+16&=\color{blue}5 -\end{align} -$$ -Now, because the equation is in the format of $x^2+bx+2(b)=c$, we can rewrite it as the following! -$$ -(x+4)^2=5 -$$ -Now you can use the square root property! - -$$ -\begin{align} -\sqrt{ (x+4)^2 }&=\pm\sqrt{ 5 }\\ -x+4&=\pm \sqrt{ 5 } \\ -\color{blue}x&=\color{blue}-4\pm \sqrt{ 5 } -\end{align} -$$ \ No newline at end of file diff --git a/content/Math/Drawing Functions & Back Again.md b/content/Math/Drawing Functions & Back Again.md deleted file mode 100644 index 31a5d3874f774..0000000000000 --- a/content/Math/Drawing Functions & Back Again.md +++ /dev/null @@ -1,16 +0,0 @@ ---- -publish: true ---- - -Take the following graph -![[drawing functions 2.svg|drawing functions 2.svg]] - -In order to recreate (one possible) function we need to do the following: -1. Determine the end-behavior, and decide if it's a reflection or not (this one is a reflection of a ^2!) -2. Determine its stretch/squash - - count the squares, if its over more than 1 then add that many as the denominator (the above would be 1/2) and you got the coefficient! - - Otherwise if its taller more than 1 before it crosses a point add that many and add that as the coefficient! - - ![[Pasted image 20231203190826.png|Pasted image 20231203190826.png]] - - This would be 2! - - Think of it like when you find the slope, by going $\frac{rise}{run}$ -3. Next add the adjustments to the vertex as appropriate! inside the parathesis for horizontal movement and outside for vertical movement \ No newline at end of file diff --git a/content/Math/Exponents.md b/content/Math/Exponents.md deleted file mode 100644 index 415000565889c..0000000000000 --- a/content/Math/Exponents.md +++ /dev/null @@ -1,5 +0,0 @@ ---- -publish: true ---- - -Exponents are pretty easy to understand if you understand what squaring and cubing are, but exponential functions are a little wacky. \ No newline at end of file diff --git a/content/Math/Formulas.md b/content/Math/Formulas.md deleted file mode 100644 index 8c898698ef58b..0000000000000 --- a/content/Math/Formulas.md +++ /dev/null @@ -1,22 +0,0 @@ ---- -publish: true ---- - -You can't have math without formulas!!!!!!!!!!!!!!!!!!!!!!!!! - -## Continuous Growth -$$ -A=Pe^{rt} -$$ -## Annual Growth -$$ -A=P(1+\frac{r}{n})^{nt} -$$ -## Circle -$$ -(x-h)^2+(y-k)^2=r^2 -$$ -## Find all the possible zeroes -$$ -\frac{\pm\text{All factors of coefficient}}{\pm \text{All factors of constant}} -$$ \ No newline at end of file diff --git a/content/Math/Important Formulas.md b/content/Math/Important Formulas.md deleted file mode 100644 index 9b1dd740a2364..0000000000000 --- a/content/Math/Important Formulas.md +++ /dev/null @@ -1,12 +0,0 @@ ---- -publish: true -tags: - - math ---- - - -## Quadratic formula -The classic -$$ -\frac{-b\pm \sqrt{ b^2-4ac }}{2a} -$$ diff --git a/content/Math/Logarithms.md b/content/Math/Logarithms.md deleted file mode 100644 index 406321dd09deb..0000000000000 --- a/content/Math/Logarithms.md +++ /dev/null @@ -1,159 +0,0 @@ ---- -publish: true -tags: - - learning - - school ---- - -Logarithms are weird. - -Logarithms are really, *really* weird. - -They have lots of properties that are similar to both functions and variables, but they aren't either. They're lying to you. They're *[[Exponents|Exponents]]*! - -## Logarithms basics -At its core, a logarithm is the inverse of the following exponential function: -$$ -\begin{gathered} -f(x)=a^x \\ -y=a^x \\ -x=a^y -\end{gathered} -$$ -The graph of which is: -> [!note] -> -> -> - blue is $10^x$ -> - red is $x=10^y$, aka $\log x$ - -The above is reformatted as this: -$$ -\begin{align} -\color{blue}a^{\color{red}y}&=\color{green}x\\ -&\downarrow\\ -\log_{\color{blue}a}\color{green}x&=\color{red}y\\ -\end{align} -$$ -For reasons I do not know why, of the time it's assumed that the $a$ is 10 and is left out, so you usually see $\log_{10}x$ as $\log x$. Also for reasons I do not know why atm, is that $\log_{e}x$ is used so much that it gets its own dedicated shorthand, $\ln x$ - -## Logarithm interactions -When adding, subtracting, dividing, or even exponentially increasing logarithms, you can't simply do it. Remember, these are *exponents in disguise!* - -Because of that, they behave like exponents when they interact with each other! - -$$ -\begin{align} -\log(w \cdot n)&=\log w+ \log n \\ -\log(\frac{w}{n})&=\log w-\log n \\ -\log w^n&=n\cdot \log w -\end{align} -$$ - -But the *really* weird bit about logarithms is how if you want to evaluate a logarithm that isn't base 10, you can use the change of base formula and you get the answer, no extra steps needed!! - -$$ -\log_{a}x=\frac{\log_{b}x}{\log_{b}a} -$$ -The crazy thing is, b can be anything, not just base 10 and it'll work! For that reason it's often that people just use $\ln$ for $\log$ and vice versa. - -## Solving Logarithmic (and exponential!) equations - -There are a few different ways you can solve logarithm problems when the x variable is in the exponent or inside the logarithmic argument. - -However, remember that if the original problem was a $log$ then **x cannot be** $x <= 0$ - -### Special Cases -Since logs are exponents, there are a few special cases when it comes to solving them. - -#### A log of 1 equals zero -If you take the log of 1, it always equals zero no matter the base. This is because any number raised to 0 equals 1! -$$ -\begin{align} -\log_41&=0\\ -4^0&=1 -\end{align} -$$ -#### A log that matches the base equals 1 -This is because the only exponent that results in the same number, is 1, virtually no exponent! - -$$ -\begin{align} -\log10&=1\\ -10^1&=10\\ -&\downarrow\\ -10&=10 -\end{align} -$$ - -Same goes for $\ln$ and $e$ -$$ -\begin{align} -\ln e&=1\\ -e^1&=e\\ -&\downarrow\\ -e&=e -\end{align} -$$ - -### Set bases to be the same -If both sides of the equation are able to be rewritten so the bases are the same, you can set them to the same -$$ -\begin{align} -2^{4x}&=8 \\ -2^{4x}&=2^3 -\end{align} -$$ -Then you can simply ignore the bases and solve as normal! -$$ -\begin{align} -\cancel{2}^{4x}&=\cancel{2}^3 \\ -4x&=3 -\end{align} -$$ -### Rewrite as exponential (or logarithmic) -Sometimes its easiest to just convert an exponent to a logarithm! - -$$ -\begin{align} -4^{3x}&=7 \\ -&\downarrow \\ -\log_4 7&=3x \\ -&\downarrow\\ -\frac{\ln 7}{\ln 4}&=3x -\end{align} -$$ -Or an logarithm to an exponent! -$$ -\begin{align} -\log(2x+1)&=3 \\ -&\downarrow\\ -10^3&=2x+1 -\end{align} -$$ -> [!warning] -> If the problem was originally an exponent and *you* converted it into a logarithm, it's totally ok if the one of the solutions results in a negative log nor zero. However, **if the original problem is a logarithm then it cannot be a negative.** -> Example, $\log -3$ is incorrect. However $10^{-3}$ is totally fine! -### Log both sides first -Sometimes (especially if you have an $e$) simply taking the log of both sides is the easiest way to simplify it, because it removes it! - -$$ -\begin{align} -e^{x+1}&=2 \\ -&\downarrow\\ -\cancel\ln(\cancel{e}^{x+1})&=\ln(2)\\ -&\downarrow\\ -x+1&=0.69314718056 -\end{align} -$$ -### Ignore! -if both sides of the equation are logs, just ignore them! - -$$ -\begin{align} -\log(2x+1)&=\log(3x+6) \\ -&\downarrow \\ -2x+1&=3x+6 -\end{align} -$$ - diff --git a/content/Math/Math Constellation Game Ideas.md b/content/Math/Math Constellation Game Ideas.md deleted file mode 100644 index e7ba97a0fa9e9..0000000000000 --- a/content/Math/Math Constellation Game Ideas.md +++ /dev/null @@ -1,37 +0,0 @@ ---- -publish: true -tags: - - gamedev - - programming - - learning ---- - -A game where you recreate a constellation using as few functions as possible - -Other ideas: the normal get problems to solve to reveal points for a map. Maybe ask teacher for help - -Draw mockup I guess?? And print out and show during class yeah - -Ok basically do this - -For programming create a dictionary containing the problems and their components, like {fx:2, fy:3: a:x, b:8, c:8} or however many elemenrs there are - -You build this by taking the actual end result (fx and fy) and fuckin with them until you get a function - -Ok how do you get the x's? By solving *another* math problem like -$$\begin{align} -4a+a=10\\ -a=2\\ -b-2=8\\ -b=10 -\end{align} -$$ - -Then swap em out or add them (or multiply) them together - -Generate huge formulae to get those values too - -$$ -x^4+3x^3-5x^2+2x+8=0 -$$ - diff --git a/content/Math/Math Index.md b/content/Math/Math Index.md deleted file mode 100644 index fd6bac4f943fb..0000000000000 --- a/content/Math/Math Index.md +++ /dev/null @@ -1,23 +0,0 @@ ---- -publish: true ---- - -These are going to be all of my notes on math, ones that work specifically for me but may work for you - -## Resources -- [GeoGebra](https://www.geogebra.org/calculator) - - Great site to graph and export graphs to SVG. A little wonky if you want a specific size, but it works! -- [Desmos](https://www.desmos.com/calculator) - - The best site for graphing if you JUST want a line, no points or anything. You can export in png or SVG in a constant size (unlike GeoGebra) -- [Manim](https://www.manim.community/) - - Python library for animating math. Used by the likes of [3blue1brown](https://youtube.com/@3blue1brown?si=EvEK9JgeDwFAPkSk) - -## Paths -- [[Shortcuts|Shortcuts]] -- [[Absolute Values in Algebra|Absolute Values in Algebra]] -- [[Completing The Square|Completing The Square]] -- [[Big Unorganized Math Notes|Big Unorganized Math Notes]] -- [[Logarithms|Logarithms]] - - - diff --git a/content/Math/More Functions.md b/content/Math/More Functions.md deleted file mode 100644 index 4afaf02aa3924..0000000000000 --- a/content/Math/More Functions.md +++ /dev/null @@ -1,27 +0,0 @@ ---- -publish: true ---- - -## Inverse Functions - -It's possible for a function to have an inverse function. in order for there to be an inverse function, the base function must satisfy the **horizontal test**, meaning for every $y$ value, theres only one possible $x$ value. Because if that, each pair of numbers must not repeat. - -Because of that, you get some interesting phenomenon! - -For example, they are always mirrored on the $y=x$ axis! - -Also, if you have the point $(a,b)$ on on function, on the mirrored function you'll have the point $(b,a)$ - - -> [!info|ttl-c] Graph -> ```desmos-graph -> height=300 -> width=300 -> --- -> -> f(x)=\sqrt{x} -> ``` - - -> [!note] Graph -> ![[Inverse Functions 2.svg|Inverse Functions 2.svg]] diff --git a/content/Math/Shortcuts.md b/content/Math/Shortcuts.md deleted file mode 100644 index 76e2c0778d830..0000000000000 --- a/content/Math/Shortcuts.md +++ /dev/null @@ -1,43 +0,0 @@ ---- -publish: true ---- - - - -This is where I'll have various shortcuts. - -## Quickly Foil $(x-b)^2$ -If you have something like this - -$$ -\begin{align} -(x-8)^2 \\ -(x+3)^2 \\ -\end{align} -$$ -Instead of manually FOILing it out, you can just do this: -First, be sure to keep the b's sign the same when doubling it, weird I know! -$$ -\begin{gather} \\ -x^2+2(b)+b^2 -\end{gather} -$$ -So the above examples would be -$$ -\begin{gather} \\ -x^2+2(-8)+(-8)^2\\ -\downarrow \\ -x^2 -16+64\\ -\\ -x^2+2(3)+(3)^2\\ -\downarrow\\ -x^2+6+9 -\end{gather} -$$ - - -## Head shortcuts -These are shortcuts that're quick enough to do in your head! -- If the last two digits are divisible by 4 then the whole thing is divisible by 4! $\frac{2949\color{red}28}{4}=73732$ -- If you want to multiply 11 by any number with 2 digits, add the two digits together and put it in between the two digits! $11 \cdot42=462$ - - if it goes over 9 then you just roll it over! $11 \cdot 89 = 979$ \ No newline at end of file diff --git a/content/More Functions.md b/content/More Functions.md deleted file mode 100644 index 4afaf02aa3924..0000000000000 --- a/content/More Functions.md +++ /dev/null @@ -1,27 +0,0 @@ ---- -publish: true ---- - -## Inverse Functions - -It's possible for a function to have an inverse function. in order for there to be an inverse function, the base function must satisfy the **horizontal test**, meaning for every $y$ value, theres only one possible $x$ value. Because if that, each pair of numbers must not repeat. - -Because of that, you get some interesting phenomenon! - -For example, they are always mirrored on the $y=x$ axis! - -Also, if you have the point $(a,b)$ on on function, on the mirrored function you'll have the point $(b,a)$ - - -> [!info|ttl-c] Graph -> ```desmos-graph -> height=300 -> width=300 -> --- -> -> f(x)=\sqrt{x} -> ``` - - -> [!note] Graph -> ![[Inverse Functions 2.svg|Inverse Functions 2.svg]] diff --git a/content/My Big Huge Collection of Links.md b/content/My Big Huge Collection of Links.md deleted file mode 100644 index 80ac919805669..0000000000000 --- a/content/My Big Huge Collection of Links.md +++ /dev/null @@ -1,353 +0,0 @@ ---- -tags: [] -summary: -id: ♧✤✷🌻✽🏵❋❉🏵 -publish: true ---- - -Hoo boy. This is a gigantic collection of links to sites to learn stuff or just have interesting resources. This was made before I spun up my [public bookmarks site](https://bookmarks.blurose.garden), and these could (and should) be moved there, but for now enjoy this page while you can! -# Coding -## web -### Books and Guides -[learn css layout](https://learnlayout.com/) 🌟 -[practical typography](https://practicaltypography.com/) 🌟 -[Learn Javascript fast](https://learnjavascriptfast.com/) ⭐ -[Refactoring.Guru](https://refactoring.guru/) ⭐ -[Typography Handbook](https://typographyhandbook.com/) ⭐ -[Git from the inside out](https://codewords.recurse.com/issues/two/git-from-the-inside-out) ⭐ -[css pro tips](https://github.com/AllThingsSmitty/css-protips#readme) -[Wriing your own sudo(in python)](https://rtpg.co/2022/02/13/your-own-sudo.html) -[PHP Apprentice](https://phpapprentice.com/) -[Clean Code Javacript](https://github.com/ryanmcdermott/clean-code-javascript) -[Interneting is hard](https://www.internetingishard.com/) -[Don't fear the internet](http://www.dontfeartheinternet.com/) -[svg on the web - a pratical guide](https://svgontheweb.com/) -https://www.theodinproject.com/home -https://github.com/donnemartin/system-design-primer -http://mark.masmcode.com/ -https://braydie.gitbooks.io/how-to-be-a-programmer/content/en/ -https://git-send-email.io/ -http://think-like-a-git.net/ -https://betterexplained.com/cheatsheet/ -https://docs.python-guide.org/ -https://github.com/AllThingsSmitty/css-protips#readme -https://github.com/jbelmont/pragmatic-programmer-and-clean-code-workshop -https://github.com/bahamas10/bash-style-guide -https://github.com/braydie/HowToBeAProgrammer -https://github.com/DopplerHQ/awesome-interview-questions -https://github.com/Droogans/unmaintainable-code -https://github.com/kdeldycke/awesome-falsehood -https://github.com/elsewhencode/project-guidelines -https://github.com/miloyip/game-programmer -https://gitlab.com/Penaz/2dgd_f0th -https://practicaltypography.com/ - -### Docs and cheatsheets -[devhints.io](https://devhints.io/) ⭐ -[Html Elements](https://developer.mozilla.org/en-US/docs/Web/HTML/Element) -[DevDocs](https://devdocs.io/) -http://justinhileman.info/article/git-pretty/git-pretty.png -http://ndpsoftware.com/git-cheatsheet.html#loc=index; -https://choosealicense.com/licenses/ -https://codepen.io/carolineartz/full/ogVXZj -https://github.com/git-tips/tips -https://github.com/kettanaito/naming-cheatsheet - -### Lectures -[servers for hackers](https://serversforhackers.com/) ⭐ -[Egghead.io](https://egghead.io/) -https://m.youtube.com/user/TheChernoProject -https://m.youtube.com/watch?v=A3yDvM8aplY -https://m.youtube.com/watch?v=v34NqCbAA1c - -### Articles -https://medium.com/@fredrikmorken/why-you-should-stop-using-git-rebase-5552bee4fed1 -https://mislav.net/2014/02/hidden-documentation/ -https://medium.com/athennian-dev-life/what-a-kids-cartoon-taught-me-about-software-7cbd3bf45c6a -https://austinkleon.com/2018/08/30/reading-with-a-pencil/ -https://m.signalvnoise.com/move-slowly-and-fix-things/ -https://matt.might.net/articles/what-cs-majors-should-know/ -https://groups.google.com/g/mozilla.dev.developer-tools/c/W17drvVMFhY -http://yourcodesucksexception.blogspot.com/2014/11/your-code-sucks.html?m=1 -https://fs.blog/category/productivity/ -https://fs.blog/reading/ -http://yourcodesucksexception.blogspot.com/2015/08/the-clean-code-trap.html?m=1 -https://blog.haschek.at/2017/how-to-defend-your-website-with-zip-bombs.html -https://blog.jbrains.ca/permalink/avoid-distractions-while-programming -https://blog.jrheard.com/procedural-dungeon-generation-drunkards-walk-in-clojurescript -https://code.dblock.org/2015/08/31/getting-out-of-your-first-git-mess.html -https://codewords.recurse.com/issues/two/git-from-the-inside-out -https://en.m.wikipedia.org/wiki/G%C3%B6del,_Escher,_Bach -https://en.m.wikipedia.org/wiki/Rule_of_three_(computer_programming) -https://en.m.wikipedia.org/wiki/Structure_and_Interpretation_of_Computer_Programs -https://en.m.wikipedia.org/wiki/The_Art_of_Computer_Programming -https://dev.to/msscohen/3-effective-ways-to-maintain-high-energy-levels-at-work-for-software-engineers -https://en.m.wikipedia.org/wiki/Code_Complete - - -### Inspiration -https://www.behance.net/ - -### Interactive Learning -[Warriorjs](https://warriorjs.com) 🌟 -[Exercism](https://exercism.org) ⭐ -[Loupe](http://latentflip.com/loupe/) -[sharpen.design](https://sharpen.design/) -[Box-sizing](https://codepen.io/carolineartz/full/ogVXZj) -[a11lyphant](https://a11yphant.com/) -[CSS Diner](https://flukeout.github.io/) - -### Tools -[haikei](https://haikei.app/) 🌟 -[Animista](https://animista.net/) 🌟 -[keyframes.app](https://keyframes.app/) ⭐ -[fontjoy](https://fontjoy.com/) ⭐ -[ngrok](https://ngrok.com/) ⭐ -[glitch.me](https://glitch.com) ⭐ -[Git history editor](https://bokub.github.io/git-history-editor/) -[carbon](https://carbon.now.sh/) -[namae](https://namae.dev/) -[happyhues](https://www.happyhues.co/) -[codelf](https://unbug.github.io/codelf/) -[learn-anything](https://learn-anything.xyz/) -[fontello](https://fontello.com/) -https://app.naker.io/back/ -https://geenes.app/editor/explore -http://www.repetition-detector.com/?p=online -http://www.boardgamizer.com/ -https://asoftmurmur.com/ -https://bokub.github.io/git-history-editor/ -https://calcolor.co/ -https://builtwith.com/ -https://everynoise.com/ -https://extendsclass.com/ -https://colorkit.io/ -https://www.noisli.com/ -https://grammica.com/ - -### APIs -[hopscotch (postman replacement)](https://hoppscotch.io/) -[nasa apis](https://api.nasa.gov/) -[public apis](https://github.com/public-apis/public-apis) -[devdocs](https://devdocs.io/) -[insomnia](https://insomnia.rest/) - -### Resources -[pattern monster](https://pattern.monster) ⭐ -[IcoMoon](https://icomoon.io/) ⭐ -[tailwindcss](https://tailwindcss.com/) ⭐ -[icons8](https://icons8.com/) -[Fontello](https://fontello.com/) -[SVGBackgrounds](https://www.svgbackgrounds.com/) -https://codemyui.com/ -https://poly.pizza/ -http://www.stickpng.com/ -https://game-icons.net/ -https://freesound.org/ -https://b-ok.cc/ -https://game-icons.net/ -https://iconmonstr.com/ -https://musopen.org/ - -### Resource lists -[Learn Vanilla Javascript](https://learnvanillajs.com/) -[Awesome Canvas](https://github.com/raphamorim/awesome-canvas#readme) -[unDraw](https://undraw.co/illustrations) -[public apis](https://github.com/public-apis/public-apis) -http://c9x.me/compile/bib/ -https://gamesounds.xyz/ -https://github.com/asciamanna/software-craft-catalog/blob/main/catalog.md -https://github.com/dhilipsiva/awesome-programmer -https://github.com/benas/awesome-software-craftsmanship -https://github.com/hkirat/awesome-chess -https://github.com/kevindeasis/awesome-fullstack -https://github.com/Kristories/awesome-guidelines -https://github.com/raphamorim/awesome-canvas#readme - -### Project ideas -https://github.com/karan/Projects -https://github.com/vicky002/1000_Projects - -### Unsorted apps Apps -https://onivim.io/ -https://www.cacher.io/ -https://color.obscuredetour.com/ -https://neovim.io/ -http://nukesaq88.github.io/Pngyu/ -https://ctjs.rocks/ -http://meldmerge.org/ -https://spacevim.org/ -http://kakoune.org/ -http://openmidiproject.osdn.jp/Sekaiju_en.html -http://phaser.io/ -http://speedcrunch.org/ -http://www.aimp.ru/ -http://www.amulet.xyz/ -http://www.makehumancommunity.org/ -https://amethyst.rs/ -https://ngrok.com/ -https://www.bluemail.me/desktop/ -https://brettterpstra.com/projects/doing/ -https://brm.io/matter-js/ -https://bvckup2.com/ -https://cataclysmdda.org/ -https://davidgriffith.gitlab.io/frotz/ -https://deepnight.net/tools/ldtk-2d-level-editor/ -https://ephtracy.github.io/ -https://fishshell.com/ -https://fossil-scm.org/home/doc/trunk/www/fossil-v-git.wiki -https://gitextensions.github.io/ -https://github.com/arialdomartini/oh-my-git -https://github.com/boardgameio/boardgame.io -https://github.com/borgbackup/borg -https://github.com/chubin/wttr.in -https://github.com/denisidoro/navi -https://github.com/donnemartin/gitsome -https://github.com/dylanaraps/pywal -https://github.com/File-New-Project/EarTrumpet -https://github.com/gleitz/howdoi -https://github.com/heroiclabs/nakama -https://github.com/IonicaBizau/idea -https://github.com/jhspetersson/fselect -https://github.com/lirantal/dockly -https://github.com/nylas/nylas-mail -https://github.com/RolandPheasant/TailBlazer -https://github.com/sharkdp/pastel -https://github.com/wting/autojump -https://github.com/tldr-pages/tldr/ -https://hluk.github.io/CopyQ/ -https://macpaw.com/encrypto -https://micro-editor.github.io/ -https://hub.github.com/ -https://led.itch.io/tilemancer -https://meetfranz.com/ -https://ogmo-editor-3.github.io/ -https://vassalengine.org/ -https://www.freeoffice.com/en/ -https://www.freshrss.org/ -https://www.gbstudio.dev/ -https://processhacker.sourceforge.io/ -https://nikkhokkho.sourceforge.io/static.php?page=FileOptimizer - -### Libraries -https://github.com/toml-lang/toml -https://melonjs.org/ -https://impactjs.com/ -https://prismjs.com/ - -## Unsorted -https://musicforprogramming.net/latest/ -https://mynoise.net/noiseMachines.php -https://nomoregoogle.com/ -https://notes.eatonphil.com/the-case-for-comments-in-code.html -https://okepi.wordpress.com/2014/08/21/how-to-become-a-programmer-or-the-art-of-googling-well/ -https://phpapprentice.com/ -https://pngquant.org/ - -https://qtractor.org/#Downloads -https://ramensoftware.com/7-taskbar-tweaker -https://rateyourmusic.com/ -https://robomongo.org/ -https://rodiongork.tumblr.com/post/108155476418/wrong-big-projects-for-beginners -https://rtpg.co/2022/02/13/your-own-sudo.html -https://rufus.ie/en/ -https://rx.cloudhead.io/ -https://sethrobertson.github.io/GitFixUm/fixup.html -https://shansvex.wordpress.com/2013/12/03/being-a-slow-programmer/ -https://sharpen.design/ -https://sourcemaking.com/design_patterns -https://sqlitebrowser.org/ -https://squircley.app/ -https://stackoverflow.com/questions/1711/what-is-the-single-most-influential-book-every-programmer-should-read -https://svgontheweb.com/ -https://tabbied.com/?ref=evernote.design -https://taskwarrior.org/ -https://tastedive.com/ -https://thoughtbot.com/playbook -https://tone-analyzer-demo.ng.bluemix.net/ -https://typographyhandbook.com/ -https://undraw.co/illustrations - -https://ventrellathing.wordpress.com/2013/06/18/the-case-for-slow-programming/ -https://warriorjs.com/campaigns/uDjgvoDcvxe -https://whatdoesmysitecost.com/ -https://whatwebcando.today/ -https://whimsical.club/1/ -https://wickedbackgrounds.com/?ref=evernote.design -https://widderune.wixsite.com/widderune/wolf-rpg-editor-english -https://wikisummaries.org/ -https://www.16personalities.com/articles/music-preferences-by-personality-type -https://www.advancedrenamer.com/ -https://www.autohotkey.com/ - -https://www.blackbirdcode.com/ -https://www.blobmaker.app/ - -https://www.catalog.style/ -https://www.ccleaner.com/recuva -https://www.cgsecurity.org/wiki/TestDisk -https://www.codecks.io/ -https://www.codementor.io/ -https://www.colorhexa.com/40523f -https://www.dreamincode.net/forums/topic/78802-martyr2s-mega-project-ideas-list/ -https://www.duplicati.com/ -https://www.evernote.design/post/mockupsforfree/ -https://www.filejuggler.com/ -https://www.freecodecamp.org/news/every-time-you-build-a-to-do-list-app-a-puppy-dies-505b54637a5d?gi=c786640fbd11 -https://www.freecodecamp.org/news/git-please-a182f28efeb5 - -https://www.getzola.org/ -https://www.ghisler.com/ -https://www.gnoosic.com/ -https://www.gutenberg.org/ -https://www.gutenberg.org/cache/epub/5614/pg5614-images.html -https://www.heidisql.com/ -https://www.httrack.com/page/2/en/index.html -https://www.internetingishard.com/ -https://www.iterary.com/ -https://www.joelonsoftware.com/2009/09/23/the-duct-tape-programmer/ -https://www.kevinlondon.com/2015/05/05/code-review-best-practices -https://www.ledger-cli.org/ -https://www.linkedin.com/pulse/20140805002649-50578967-how-successful-people-stay-calm -https://www.listary.com/ -https://www.mamp.info/en/windows/ -https://www.my90stv.com/ -https://www.onlyoffice.com/?affChecked=1 -https://www.openoffice.org/ -https://www.pcloud.com/ -https://www.phpied.com/hello-stylelint/ -https://www.plaintextures.com/ -https://www.planetgeek.ch/2014/11/18/clean-code-cheat-sheet-v-2-4/ -https://www.planimeter.org/grid-sdk/ -https://www.postbox-inc.com/ -https://www.privacytools.io/ -https://www.programmableweb.com/category/music/apis?category=19990 -https://www.prosofteng.com/data-rescue-pc-3 -https://www.raywenderlich.com/467-learning-techniques-for-programmers-by-programmers -https://www.razorsql.com/ -https://www.reddit.com/r/coolgithubprojects/ -https://www.reddit.com/r/SomebodyMakeThis/ -https://www.reddit.com/r/SomebodyMakeThis/comments/sxkjnt/a_website_to_discuss_books_on_a_chapter_per/ -https://www.reddit.com/r/tinycode/ -https://www.reddit.com/r/Windows10/comments/3f38ed/guide_how_to_disable_data_logging_in_w10/ -https://www.romhacking.net/hacks/4505/ -https://www.shellcheck.net/ -https://www.shotcut.org/download/ -https://www.smashingmagazine.com/2015/09/principles-of-html5-game-design/ -https://www.softpedia.com/get/System/System-Miscellaneous/Unlocker.shtml -https://www.spammimic.com/ -https://www.spicefly.com/article.php?page=what-is-musicip -https://www.svgator.com/ -https://www.svgbackgrounds.com/ -https://www.tilesetter.org/ -https://www.toptal.com/designers/colourcode -https://www.vagrantup.com/ -https://www.whynopadlock.com/ -https://www.widgetworx.com/spritelib/ -https://www.wps.com/office/windows/ -https://www.zhornsoftware.co.uk/archive/index.html#zbar -https://xyproblem.info/ -https://youmightnotneedjs.com/ -https://dotnet.microsoft.com/en-us/apps/aspnet/web-apps/blazor - - diff --git a/content/My Obsidian Plugins.md b/content/My Obsidian Plugins.md deleted file mode 100644 index 3749e38e75072..0000000000000 --- a/content/My Obsidian Plugins.md +++ /dev/null @@ -1,66 +0,0 @@ ---- -publish: true ---- - -This is an absolutely gigantic list of obsidian plugins I use. I need to cull a lot and organize what I consider Must Haves and just Fun, but that's for another day! - -[obsidian://show-plugin?id=at-symbol-linking](obsidian://show-plugin?id=at-symbol-linking) -[obsidian://show-plugin?id=obsidian-admonition](obsidian://show-plugin?id=obsidian-admonition) -[obsidian://show-plugin?id=table-editor-obsidian](obsidian://show-plugin?id=table-editor-obsidian) -[obsidian://show-plugin?id=obsidian-task-archiver](obsidian://show-plugin?id=obsidian-task-archiver) -[obsidian://show-plugin?id=badges](obsidian://show-plugin?id=badges) -[obsidian://show-plugin?id=buttons](obsidian://show-plugin?id=buttons) -[obsidian://show-plugin?id=calendar](obsidian://show-plugin?id=calendar) -[obsidian://show-plugin?id=canvas-links](obsidian://show-plugin?id=canvas-links) -[obsidian://show-plugin?id=obsidian-chartsview-plugin](obsidian://show-plugin?id=obsidian-chartsview-plugin) -[obsidian://show-plugin?id=codename](obsidian://show-plugin?id=codename) -[obsidian://show-plugin?id=color-palette](obsidian://show-plugin?id=color-palette) -[obsidian://show-plugin?id=colored-tags](obsidian://show-plugin?id=colored-tags) -[obsidian://show-plugin?id=colorful-note-borders](obsidian://show-plugin?id=colorful-note-borders) -[obsidian://show-plugin?id=cmdr](obsidian://show-plugin?id=cmdr) -[obsidian://show-plugin?id=crossbow](obsidian://show-plugin?id=crossbow) -[obsidian://show-plugin?id=dataview](obsidian://show-plugin?id=dataview) -[obsidian://show-plugin?id=obsidian-desmos](obsidian://show-plugin?id=obsidian-desmos) -[obsidian://show-plugin?id=emoji-magic](obsidian://show-plugin?id=emoji-magic) -[obsidian://show-plugin?id=excalibrain](obsidian://show-plugin?id=excalibrain) -[obsidian://show-plugin?id=obsidian-excalidraw-plugin](obsidian://show-plugin?id=obsidian-excalidraw-plugin) -[obsidian://show-plugin?id=obsidian-5e-statblocks](obsidian://show-plugin?id=obsidian-5e-statblocks) -[obsidian://show-plugin?id=obsidian-file-color](obsidian://show-plugin?id=obsidian-file-color) -[obsidian://show-plugin?id=file-explorer-plus](obsidian://show-plugin?id=file-explorer-plus) -[obsidian://show-plugin?id=obsidian-view-mode-by-frontmatter](obsidian://show-plugin?id=obsidian-view-mode-by-frontmatter) -[obsidian://show-plugin?id=obsidian-full-calendar](obsidian://show-plugin?id=obsidian-full-calendar) -[obsidian://show-plugin?id=obsidian-mkdocs-publisher](obsidian://show-plugin?id=obsidian-mkdocs-publisher) -[obsidian://show-plugin?id=habit-calendar](obsidian://show-plugin?id=habit-calendar) -[obsidian://show-plugin?id=heatmap-calendar](obsidian://show-plugin?id=heatmap-calendar) -[obsidian://show-plugin?id=homepage](obsidian://show-plugin?id=homepage) -[obsidian://show-plugin?id=obsidian-icon-folder](obsidian://show-plugin?id=obsidian-icon-folder) -[obsidian://show-plugin?id=ics](obsidian://show-plugin?id=ics) -[obsidian://show-plugin?id=js-engine](obsidian://show-plugin?id=js-engine) -[obsidian://show-plugin?id=obsidian-linter](obsidian://show-plugin?id=obsidian-linter) -[obsidian://show-plugin?id=lovely-mindmap](obsidian://show-plugin?id=lovely-mindmap) -[obsidian://show-plugin?id=make-md](obsidian://show-plugin?id=make-md) -[obsidian://show-plugin?id=obsidian-meta-bind-plugin](obsidian://show-plugin?id=obsidian-meta-bind-plugin) -[obsidian://show-plugin?id=metaedit](obsidian://show-plugin?id=metaedit) -[obsidian://show-plugin?id=obsidian42-brat](obsidian://show-plugin?id=obsidian42-brat) -[obsidian://show-plugin?id=obsidian-open-file-by-magic-date](obsidian://show-plugin?id=obsidian-open-file-by-magic-date) -[obsidian://show-plugin?id=open-plugin-settings](obsidian://show-plugin?id=open-plugin-settings) -[obsidian://show-plugin?id=permalink-opener](obsidian://show-plugin?id=permalink-opener) -[obsidian://show-plugin?id=personal-assistant](obsidian://show-plugin?id=personal-assistant) -[obsidian://show-plugin?id=plugin-manager](obsidian://show-plugin?id=plugin-manager) -[obsidian://show-plugin?id=obsidian-projects](obsidian://show-plugin?id=obsidian-projects) -[obsidian://show-plugin?id=darlal-switcher-plus](obsidian://show-plugin?id=darlal-switcher-plus) -[obsidian://show-plugin?id=quickadd](obsidian://show-plugin?id=quickadd) -[obsidian://show-plugin?id=shukuchi](obsidian://show-plugin?id=shukuchi) -[obsidian://show-plugin?id=solve](obsidian://show-plugin?id=solve) -[obsidian://show-plugin?id=obsidian-style-settings](obsidian://show-plugin?id=obsidian-style-settings) -[obsidian://show-plugin?id=supercharged-links-obsidian](obsidian://show-plugin?id=supercharged-links-obsidian) -[obsidian://show-plugin?id=obsidian-tagfolder](obsidian://show-plugin?id=obsidian-tagfolder) -[obsidian://show-plugin?id=templater-obsidian](obsidian://show-plugin?id=templater-obsidian) -[obsidian://show-plugin?id=todotxt-codeblocks](obsidian://show-plugin?id=todotxt-codeblocks) -[obsidian://show-plugin?id=writing-goals](obsidian://show-plugin?id=writing-goals) -[obsidian://show-plugin?id=typing](obsidian://show-plugin?id=typing) -[obsidian://show-plugin?id=typewriter-mode](obsidian://show-plugin?id=typewriter-mode) -[obsidian://show-plugin?id=file-explorer-plus](obsidian://show-plugin?id=file-explorer-plus) - -[obsidian://show-plugin?id=helpmate](obsidian://show-plugin?id=helpmate) -[obsidian://show-plugin?id=incomplete-files](obsidian://show-plugin?id=incomplete-files) diff --git a/content/My Obsidian Setup.md b/content/My Obsidian Setup.md deleted file mode 100644 index 16f01b8b5082c..0000000000000 --- a/content/My Obsidian Setup.md +++ /dev/null @@ -1,10 +0,0 @@ ---- -publish: true ---- - - -Everyone's obsidian setup is very specific and customized, and I'm no different. I figured I might as well share my themes, how I sync, plugins, and the way I publish on this very site. - -[[My Obsidian Plugins|My Obsidian Plugins]] - -[[Using Quartz & Github Publisher|Using Quartz & Github Publisher]] diff --git a/content/Pasted image 20231203190826.png b/content/Pasted image 20231203190826.png deleted file mode 100644 index c9978c49ad4a3..0000000000000 Binary files a/content/Pasted image 20231203190826.png and /dev/null differ diff --git a/content/Programming.md b/content/Programming.md deleted file mode 100644 index 3325427d607d2..0000000000000 --- a/content/Programming.md +++ /dev/null @@ -1,8 +0,0 @@ ---- -publish: true ---- - -[[❀Code/Rust|Rust]] -[[Flutter & Dart|Flutter & Dart]] -[[Typescript|Typescript]] -[[Svelte|Svelte]] diff --git a/content/Rust.md b/content/Rust.md deleted file mode 100644 index 065fdf78b0191..0000000000000 --- a/content/Rust.md +++ /dev/null @@ -1,5 +0,0 @@ ---- -publish: true ---- - -[Rust by Practice](https://github.com/sunface/rust-by-practice) diff --git a/content/Shortcuts.md b/content/Shortcuts.md deleted file mode 100644 index 76e2c0778d830..0000000000000 --- a/content/Shortcuts.md +++ /dev/null @@ -1,43 +0,0 @@ ---- -publish: true ---- - - - -This is where I'll have various shortcuts. - -## Quickly Foil $(x-b)^2$ -If you have something like this - -$$ -\begin{align} -(x-8)^2 \\ -(x+3)^2 \\ -\end{align} -$$ -Instead of manually FOILing it out, you can just do this: -First, be sure to keep the b's sign the same when doubling it, weird I know! -$$ -\begin{gather} \\ -x^2+2(b)+b^2 -\end{gather} -$$ -So the above examples would be -$$ -\begin{gather} \\ -x^2+2(-8)+(-8)^2\\ -\downarrow \\ -x^2 -16+64\\ -\\ -x^2+2(3)+(3)^2\\ -\downarrow\\ -x^2+6+9 -\end{gather} -$$ - - -## Head shortcuts -These are shortcuts that're quick enough to do in your head! -- If the last two digits are divisible by 4 then the whole thing is divisible by 4! $\frac{2949\color{red}28}{4}=73732$ -- If you want to multiply 11 by any number with 2 digits, add the two digits together and put it in between the two digits! $11 \cdot42=462$ - - if it goes over 9 then you just roll it over! $11 \cdot 89 = 979$ \ No newline at end of file diff --git a/content/Svelte.md b/content/Svelte.md deleted file mode 100644 index 6969270857733..0000000000000 --- a/content/Svelte.md +++ /dev/null @@ -1,7 +0,0 @@ ---- -publish: true ---- - -This is by far my favorite framework for making sites. -## Sveltekit -This is what my wip markdown blog framework is written in. \ No newline at end of file diff --git a/content/Textbook Collection.md b/content/Textbook Collection.md deleted file mode 100644 index fe31cf354d2b2..0000000000000 --- a/content/Textbook Collection.md +++ /dev/null @@ -1,13 +0,0 @@ ---- -publish: true -tags: - - learning ---- - -This is a collection of textbooks that I have found interesting! Only the ones with stars are ones I have read -## [[Math|Math]] & [[Programming|Programming]] -o'reilly designing data intensive (ebook) - -## [[Japanese|Japanese]] -- Minna No Nihongo -- Japanese the Manga Way \ No newline at end of file diff --git a/content/Typescript.md b/content/Typescript.md deleted file mode 100644 index fa670331da026..0000000000000 --- a/content/Typescript.md +++ /dev/null @@ -1,5 +0,0 @@ ---- -publish: true ---- - -I'm gonna learn typescript, partially so I can contribute to [quartz](https://quartz.jzhao.xyz/) but also so I don't have to keep relying solely on my pure JavaScript knowledge. \ No newline at end of file diff --git a/content/Using Quartz & Github Publisher.md b/content/Using Quartz & Github Publisher.md deleted file mode 100644 index b01915c2605fd..0000000000000 --- a/content/Using Quartz & Github Publisher.md +++ /dev/null @@ -1,26 +0,0 @@ ---- -publish: "true" ---- - -The Obsidian Plugin [Github Publisher](obsidian://show-plugin?id=obsidian-mkdocs-publisher) ([github link](https://github.com/ObsidianPublisher/obsidian-github-publisher)) works amazingly well with quartz! Not only does it allow you to update your digitalgarden straight from Obsidian (on both mobile & desktop no less!) but it also only uploads your published & public files to the repo! It also converts dataview queries into markdown before uploading! - -Not only that but this is deployment agnostic, so if you don't want to use GitHub Pages you don't have to! - -## Setup -This guide assumes you have both run through the quartz setup and [configured a deployment host](https://quartz.jzhao.xyz/hosting). After that, follow these steps: - -1. Install the plugin (obviously) -2. [Generate a GitHub Token](https://github.com/settings/tokens) that has permissions to push and perform automatic PRs to your quartz repo - - Consider using a [finegrained token](https://github.com/settings/tokens?type=beta) for more security, though you're forced to select a expiration date unlike the general one -3. Open your GitHub Publisher options, and in the **GitHub Config** tab: - 1. Fill in your **github username** - 2. Fill in the name of your **quartz repo** - 3. Paste in the **token you generated earlier** - 4. Enter **the branch** your digital garden lives on (which is **v4** by default) - 5. Toggle **Automatically Merge Pull Requests** to **on** -4. Next, in the **upload config** tab, set file tree option to **Obsidian Path** and the root folder to **content** -5. Finally, under the **Plugin Settings** tab, set the share key to **publish** if you are using the filter plugin ExplicitPublish -- (Optional) If you use dataview, in the **Text & Link Converters** tab toggle the **Dataview** option -- (optional) in the **Plugin Settings** tab, turn on **Copy Link** and set **Base Link** to your site's domain! - -And that's it! Now just run **Github Publisher: Upload all shared notes** and wait for the deployment to build! There are many other settings you can apply, such as automatically [renaming a file or path](https://obsidian-publisher.netlify.app/plugin/settings/upload/?h=edit#regex-on-filename-folder-path) (I use this for my index.md!) To explore all of your options, [check out the plugin's documentation](https://obsidian-publisher.netlify.app/) \ No newline at end of file diff --git a/content/attachments/-2x(x-3) exp(2)+8.svg b/content/attachments/-2x(x-3) exp(2)+8.svg deleted file mode 100644 index 6cda687bc7ebf..0000000000000 --- a/content/attachments/-2x(x-3) exp(2)+8.svg +++ /dev/null @@ -1,98 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -5 - -5 - - - 5 - 5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/attachments/-8x exp(4)+2x-1.svg b/content/attachments/-8x exp(4)+2x-1.svg deleted file mode 100644 index f8eeb310a1db5..0000000000000 --- a/content/attachments/-8x exp(4)+2x-1.svg +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/attachments/-8x exp5+2x exp2-1.svg b/content/attachments/-8x exp5+2x exp2-1.svg deleted file mode 100644 index c85c3c94df3b8..0000000000000 --- a/content/attachments/-8x exp5+2x exp2-1.svg +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/attachments/8x exp(4)+2x-1.svg b/content/attachments/8x exp(4)+2x-1.svg deleted file mode 100644 index 9d5e031ebf1de..0000000000000 --- a/content/attachments/8x exp(4)+2x-1.svg +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/attachments/8x exp(5)+2x exp(2)-1.svg b/content/attachments/8x exp(5)+2x exp(2)-1.svg deleted file mode 100644 index e2cf15287b39f..0000000000000 --- a/content/attachments/8x exp(5)+2x exp(2)-1.svg +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git a/content/attachments/Inverse Functions 2.svg b/content/attachments/Inverse Functions 2.svg deleted file mode 100644 index b41f0ed155714..0000000000000 --- a/content/attachments/Inverse Functions 2.svg +++ /dev/null @@ -1 +0,0 @@ -Y axisX axis00-1-1112233-1-1112233Expression 1Expression 2Expression 3 \ No newline at end of file diff --git a/content/digital garden resources.md b/content/digital garden resources.md deleted file mode 100644 index 24263dfeeaa33..0000000000000 --- a/content/digital garden resources.md +++ /dev/null @@ -1,7 +0,0 @@ ---- -publish: true ---- - - -- [A Brief History & Ethos of the Digital Garden](https://maggieappleton.com/garden-history) -- [Digital Gardening Tools and Resources on GitHub](https://github.com/MaggieAppleton/digital-gardeners) \ No newline at end of file diff --git a/content/drawing functions 2.svg b/content/drawing functions 2.svg deleted file mode 100644 index ccdec8223b6bb..0000000000000 --- a/content/drawing functions 2.svg +++ /dev/null @@ -1 +0,0 @@ -Y axisX axis00-3-3-2-2-1-1112233-2-2-1-1112233Expression 1 \ No newline at end of file diff --git a/content/index.md b/content/index.md deleted file mode 100644 index 2d327a348d819..0000000000000 --- a/content/index.md +++ /dev/null @@ -1,26 +0,0 @@ ---- -publish: true -title: The Pathway into the Hedges ---- - - -Welcome to my digital garden: The Flowerbed. A multi layered and sporadically growing hedgemaze of musings and curiosities. - -If you've never heard of a digital garden before, check out [[digital garden resources|this page]] for links to articles and resources. - -This is not going to be a orderly and finely maintained wiki, far from it. This is going to be a constantly shifting and changing place, with some paths being pristine and lovingly poliahed, and others being covered in cobwebs and dust. Despite my best intentions, the information therein will always be somewhere within the spectrum of correct and incorrect. If there is anything glaringly wrong, *please* email me at [mail@bluerose.garden](mailto:mail@bluerose.garden) and I will address it as soon as I can. - -Now go forth and explore some of the winding paths that lay before you. Use the graph at the bottom of the page as your map, and the back links to discover alternate paths and little tucked away corners that pocket this place. - - - -Here are some starting paths: - -## Path Forks -- [[Math Index|Math]] -- [[Books|Books]] -- [[Linguistics|Linguistics]] -- [[Japanese|Japanese]] -- [[Goals|Goals]] -- [[Using Quartz & Github Publisher|Using Quartz & Github Publisher]] -- [[tags|Tags]] diff --git "a/content/\302\247Attachments/-2x(x-3) exp(2)+8.svg" "b/content/\302\247Attachments/-2x(x-3) exp(2)+8.svg" deleted file mode 100644 index 6cda687bc7ebf..0000000000000 --- "a/content/\302\247Attachments/-2x(x-3) exp(2)+8.svg" +++ /dev/null @@ -1,98 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -5 - -5 - - - 5 - 5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git "a/content/\302\247Attachments/-8x exp(4)+2x-1.svg" "b/content/\302\247Attachments/-8x exp(4)+2x-1.svg" deleted file mode 100644 index f8eeb310a1db5..0000000000000 --- "a/content/\302\247Attachments/-8x exp(4)+2x-1.svg" +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git "a/content/\302\247Attachments/-8x exp5+2x exp2-1.svg" "b/content/\302\247Attachments/-8x exp5+2x exp2-1.svg" deleted file mode 100644 index c85c3c94df3b8..0000000000000 --- "a/content/\302\247Attachments/-8x exp5+2x exp2-1.svg" +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git "a/content/\302\247Attachments/8x exp(4)+2x-1.svg" "b/content/\302\247Attachments/8x exp(4)+2x-1.svg" deleted file mode 100644 index 9d5e031ebf1de..0000000000000 --- "a/content/\302\247Attachments/8x exp(4)+2x-1.svg" +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git "a/content/\302\247Attachments/8x exp(5)+2x exp(2)-1.svg" "b/content/\302\247Attachments/8x exp(5)+2x exp(2)-1.svg" deleted file mode 100644 index e2cf15287b39f..0000000000000 --- "a/content/\302\247Attachments/8x exp(5)+2x exp(2)-1.svg" +++ /dev/null @@ -1,119 +0,0 @@ - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Y axis - - - - - - X axis - - - - - - - 0 - 0 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - -10 - -10 - - - -5 - -5 - - - 5 - 5 - - - 10 - 10 - - - - - - - Expression 1 - - - - - - - - - \ No newline at end of file diff --git "a/content/\302\247Attachments/Inverse Functions 2.svg" "b/content/\302\247Attachments/Inverse Functions 2.svg" deleted file mode 100644 index b41f0ed155714..0000000000000 --- "a/content/\302\247Attachments/Inverse Functions 2.svg" +++ /dev/null @@ -1 +0,0 @@ -Y axisX axis00-1-1112233-1-1112233Expression 1Expression 2Expression 3 \ No newline at end of file diff --git "a/content/\342\210\206-Landing.md" "b/content/\342\210\206-Landing.md" deleted file mode 100644 index 2d327a348d819..0000000000000 --- "a/content/\342\210\206-Landing.md" +++ /dev/null @@ -1,26 +0,0 @@ ---- -publish: true -title: The Pathway into the Hedges ---- - - -Welcome to my digital garden: The Flowerbed. A multi layered and sporadically growing hedgemaze of musings and curiosities. - -If you've never heard of a digital garden before, check out [[digital garden resources|this page]] for links to articles and resources. - -This is not going to be a orderly and finely maintained wiki, far from it. This is going to be a constantly shifting and changing place, with some paths being pristine and lovingly poliahed, and others being covered in cobwebs and dust. Despite my best intentions, the information therein will always be somewhere within the spectrum of correct and incorrect. If there is anything glaringly wrong, *please* email me at [mail@bluerose.garden](mailto:mail@bluerose.garden) and I will address it as soon as I can. - -Now go forth and explore some of the winding paths that lay before you. Use the graph at the bottom of the page as your map, and the back links to discover alternate paths and little tucked away corners that pocket this place. - - - -Here are some starting paths: - -## Path Forks -- [[Math Index|Math]] -- [[Books|Books]] -- [[Linguistics|Linguistics]] -- [[Japanese|Japanese]] -- [[Goals|Goals]] -- [[Using Quartz & Github Publisher|Using Quartz & Github Publisher]] -- [[tags|Tags]] diff --git "a/content/\342\235\200Code/Flutter & Dart.md" "b/content/\342\235\200Code/Flutter & Dart.md" deleted file mode 100644 index 25c0dcc9df7f3..0000000000000 --- "a/content/\342\235\200Code/Flutter & Dart.md" +++ /dev/null @@ -1,11 +0,0 @@ ---- -publish: true ---- - -Interesting!!! -## Resources -[Flame](https://docs.flame-engine.org/latest/) - -[Casual Games Toolkit](https://flutter.dev/games) - -[Schedule Local](https://pub.dev/packages/flutter_local_notifications) \ No newline at end of file diff --git "a/content/\342\235\200Code/Programming.md" "b/content/\342\235\200Code/Programming.md" deleted file mode 100644 index 3325427d607d2..0000000000000 --- "a/content/\342\235\200Code/Programming.md" +++ /dev/null @@ -1,8 +0,0 @@ ---- -publish: true ---- - -[[❀Code/Rust|Rust]] -[[Flutter & Dart|Flutter & Dart]] -[[Typescript|Typescript]] -[[Svelte|Svelte]] diff --git "a/content/\342\235\200Code/Rust.md" "b/content/\342\235\200Code/Rust.md" deleted file mode 100644 index 065fdf78b0191..0000000000000 --- "a/content/\342\235\200Code/Rust.md" +++ /dev/null @@ -1,5 +0,0 @@ ---- -publish: true ---- - -[Rust by Practice](https://github.com/sunface/rust-by-practice) diff --git "a/content/\342\235\200Code/Svelte.md" "b/content/\342\235\200Code/Svelte.md" deleted file mode 100644 index 6969270857733..0000000000000 --- "a/content/\342\235\200Code/Svelte.md" +++ /dev/null @@ -1,7 +0,0 @@ ---- -publish: true ---- - -This is by far my favorite framework for making sites. -## Sveltekit -This is what my wip markdown blog framework is written in. \ No newline at end of file diff --git "a/content/\342\235\200Code/Typescript.md" "b/content/\342\235\200Code/Typescript.md" deleted file mode 100644 index fa670331da026..0000000000000 --- "a/content/\342\235\200Code/Typescript.md" +++ /dev/null @@ -1,5 +0,0 @@ ---- -publish: true ---- - -I'm gonna learn typescript, partially so I can contribute to [quartz](https://quartz.jzhao.xyz/) but also so I don't have to keep relying solely on my pure JavaScript knowledge. \ No newline at end of file