diff options
Diffstat (limited to 'mindmap')
| -rw-r--r-- | mindmap/duality.org | 9 | ||||
| -rw-r--r-- | mindmap/emergence.org | 9 | ||||
| -rw-r--r-- | mindmap/everything.org | 36 | ||||
| -rw-r--r-- | mindmap/factorial.org | 8 | ||||
| -rw-r--r-- | mindmap/index.org | 21 | ||||
| -rw-r--r-- | mindmap/python.org | 6 | ||||
| -rw-r--r-- | mindmap/recursion.org | 71 | ||||
| -rw-r--r-- | mindmap/self-assembly.org | 9 | ||||
| -rw-r--r-- | mindmap/stack.org | 6 |
9 files changed, 175 insertions, 0 deletions
diff --git a/mindmap/duality.org b/mindmap/duality.org new file mode 100644 index 0000000..3836272 --- /dev/null +++ b/mindmap/duality.org @@ -0,0 +1,9 @@ +:PROPERTIES: +:ID: 1b1a8cff-1d20-4689-8466-ea88411007d7 +:END: +#+title: duality +#+author: Preston Pan +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> +#+date: <2023-06-10 Sat> +* One or Two? +This is placeholder text. diff --git a/mindmap/emergence.org b/mindmap/emergence.org new file mode 100644 index 0000000..9a146cf --- /dev/null +++ b/mindmap/emergence.org @@ -0,0 +1,9 @@ +:PROPERTIES: +:ID: b005fb71-2a16-40f9-9bb6-29138f4719a2 +:END: +#+title: emergence +#+author: Preston Pan +#+html_head: <link rel="stylesheet" type="text/css" href="style.css" /> + +* Emergence systems are… +Many things. diff --git a/mindmap/everything.org b/mindmap/everything.org new file mode 100644 index 0000000..8e93fe7 --- /dev/null +++ b/mindmap/everything.org @@ -0,0 +1,36 @@ +:PROPERTIES: +:ID: 2b8515d8-9f3c-44a3-a40d-147f6a2bbb25 +:END: +#+title: everything +#+author: Preston Pan +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> +#+date: <2023-06-10 Sat> + +* Everything? +This article is about everything. No, really, it is. +Every possible thought you could have is encapsulated +inside a digital copy of my brain. + +You can model everything in terms of [[id:1b1a8cff-1d20-4689-8466-ea88411007d7][duality]] and [[id:8f265f93-e5fd-4150-a845-a60ab7063164][recursion]]. +There are other ways to model everything as well; for example, +circular structures and self destructing structures. However, these +other frameworks I posit can be explained well with these other +general ones, and for the purpose of saving time in explaining +everything, I'll start with these two things. +** What is the point in explaining everything? +So you can be a god! All knowing! Who wouldn't want that? +** But you have to explain this article in order to explain everything +No I don't. See? I explained this article! +** This is not very coherent +I'd like to see you try. +** Okay, but seriously… +Yeah. I get your complaint. It's a hard task to actually explain everything +and you have to omit details. However, I think this is a pretty reasonable +attempt at doing so and you will soon notice that the frameworks that I +am presenting can in fact be used to explain the article itself, albeit +in a somewhat contradictory way. +* Something +I linked them above, but if you want to read about something that is not +everything, go here: +- [[id:8f265f93-e5fd-4150-a845-a60ab7063164][recursion]] +- [[id:1b1a8cff-1d20-4689-8466-ea88411007d7][duality]] diff --git a/mindmap/factorial.org b/mindmap/factorial.org new file mode 100644 index 0000000..345fe39 --- /dev/null +++ b/mindmap/factorial.org @@ -0,0 +1,8 @@ +:PROPERTIES: +:ID: aed6b5dc-c2ec-4e8c-b793-538cd5d6e355 +:END: +#+title: factorial +#+author: Preston Pan +#+options: num:nil +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> +#+options: tex:dvipng diff --git a/mindmap/index.org b/mindmap/index.org new file mode 100644 index 0000000..b2d1015 --- /dev/null +++ b/mindmap/index.org @@ -0,0 +1,21 @@ +#+title: Mindmap +#+author: Preston Pan +#+date: <2023-06-10 Sat> +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> + +* Introducing: the Mindmap +Do you want to know everything like me and be a smart person instead of dumb? +Well, you've come to the right place! 👍 + +** What is this? +It's a place that hopes to explain *EVERYTHING!!* +** Isn't that unrealistic? +I answer that in my [[file:everything.org][mindmap]]! It has all the answers! +** Doesn't it have to explain itself? +Yeah, we answered that one too. Just read the [[file:everything.org][mindmap]]. +** Batteries included? +No, it's a mindmap you fucking idiot. +* Rules +- Don't use the back button on your browser +- Everything here is going to be a link to another mindmap page. +- Therefore, if there is a page you want to go back to, you must navigate until you find a loop back to the original page. diff --git a/mindmap/python.org b/mindmap/python.org new file mode 100644 index 0000000..6234beb --- /dev/null +++ b/mindmap/python.org @@ -0,0 +1,6 @@ +:PROPERTIES: +:ID: 5d2e2f3b-96ac-4196-9baf-4c3d6d349c98 +:END: +#+title: python +#+author: Preston Pan +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> diff --git a/mindmap/recursion.org b/mindmap/recursion.org new file mode 100644 index 0000000..bf42261 --- /dev/null +++ b/mindmap/recursion.org @@ -0,0 +1,71 @@ +:PROPERTIES: +:ID: 8f265f93-e5fd-4150-a845-a60ab7063164 +:END: +#+title: recursion +#+author: Preston Pan +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> +#+html_head: <script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script> +#+html_head: <script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script> +#+startup: latexpreview +#+OPTIONS: broken-links:t +* Recursion is Recursion +Exactly as I say in the title. +** but what is recursion? +Recursion. +** No, seriously, what is it? +Self reference. +** haha, very clever, it's not like that joke has been made 10 million times +Yeah, but I think it's a good introduction to the subject. You can think of recursion +as [[id:42dbae12-827c-43c4-8dfc-a2cb1e835efa][self-assembly]] and it has deep connections to topics such as [[id:b005fb71-2a16-40f9-9bb6-29138f4719a2][emergence]]. I will first +describe it in a mathematics context, and then a programming context. +For demonstration purposes, I will use [[id:5d2e2f3b-96ac-4196-9baf-4c3d6d349c98][python]]. +* Mathematics Describes Recursion +For this example, I will be using the factorial. One might define it like so: +\begin{align*} +f: \mathbb{N}\rightarrow\mathbb{N}\ s.t. \\ +f(0) = 1 \\ +f(n) = nf(n - 1) \\ +\end{align*} + +* Programming Describes Recursion +#+begin_src python :exports both +def factorial(x): + if x <= 0: + return 1 + return x * factorial(x - 1) +return factorial(5) +#+end_src + +#+RESULTS: +: 120 +** The stack frame +We are now going to modify the code to be more transparent in the sense that it is going to print +each factorial call out: +#+begin_src python :results output :exports both +def factorial(x): + if x <= 0: + print(1) + return 1 + n = x * factorial(x - 1) + print(n) + return n +factorial(5) +#+end_src + +#+RESULTS: +: 1 +: 1 +: 2 +: 6 +: 24 +: 120 + +what is happening here? Why is it printing in the reverse order? Well, it is because we are calling +the factorial function from within itself /before/ we print out the return value, which then +keeps on happening for each iteration until it reaches the "base case" (the case in which x <= 0). + +You can model this behavior with a [[id:52d255d2-114c-42f4-b362-f0b4a2f7b83d][stack]], which is why it is called a stack frame. Think about each +iteration as getting put on the top of the stack waiting to be printed, until the base case is evaluated +and printed all in one step. +* Recursion is not Recursion +* Recursion is [[id:1b1a8cff-1d20-4689-8466-ea88411007d7][duality]]? diff --git a/mindmap/self-assembly.org b/mindmap/self-assembly.org new file mode 100644 index 0000000..a9ef3a1 --- /dev/null +++ b/mindmap/self-assembly.org @@ -0,0 +1,9 @@ +:PROPERTIES: +:ID: 42dbae12-827c-43c4-8dfc-a2cb1e835efa +:END: +#+title: self-assembly +#+author: Preston Pan +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> + +* Introduction +bla bla bla. diff --git a/mindmap/stack.org b/mindmap/stack.org new file mode 100644 index 0000000..74d0138 --- /dev/null +++ b/mindmap/stack.org @@ -0,0 +1,6 @@ +:PROPERTIES: +:ID: 52d255d2-114c-42f4-b362-f0b4a2f7b83d +:END: +#+title: stack +#+author: Preston Pan +#+html_head: <link rel="stylesheet" type="text/css" href="../style.css" /> |