Blog

Having a blog is addictive, isn't it?

After 1.75 years, the Math Identities Proofs page is still severely lacking. There are a few reasons for this. The first is that the format as it is now was only created about this time last year, and some effort was put into learning how to format it properly, even having to get creative with KaTex itself. The second has been due to limited time and emotional exhaustion from working too much and juggling that with being a voluntary caregiver, so the motivation pops in during short bursts and then dies for a while.

The third is a weird mental block in my mind that creating or finding the right image for scenarios that require them always feels difficult to start even though it is fairly easy, if that makes any sense. It's also the same mental hang-up for when I have to cover things I've never actually used before so that I can apply them to later sections, and even though those are also fairly easy.

The project started when I was keeping flash cards of identities to stay fresh on memory in college, and ending up with something like 350 of them, categorized. It didn't take me long to figure out that sometimes the internet and occasionally, to my surprise, somehow, even a textbook can give the wrong information. So I decided to learn the Insert - Equation feature on MS Word, added them all to a document, and started working on proofs here and there to show that they were in fact right. This was on and off for several years until about two years ago when I went over each category to make sure they were complete and everything was in order by how they could be proven, and I started making PDFs to share online. The only trouble is that nobody looks at PDFs anymore.

You wouldn't believe the number of proofs I've had to sift through on some of these, especially for derivatives where there's probably 4-5 for each one, and some vastly more complicated than others. I chose the simple and necessary routes and made them clearer. I've come across some that make me just angry because they use "proofs" in a higher category with assumptions in previous sections and circular logic, or they use circular logic for definitions that are assumed... wait... because they're just straight up incoherent.

This is all too common in hyperbolic trigonometry, where the analytic functions are the definitions, effectively leaving out a bunch of shit on how those are proven, and then using those to "prove" the other things with which you need to prove them. In fact, this is one of my renewed motivations, to get to that point in the page and spell it out, since I've had to figure out a final geometric proof in the process for it on my own. I've already set up the headers for it, which, unironically, mirrors the entire process for getting to the analytic circular trig functions. Curious how the circular analytic functions aren't considered definitions but the hyperbolic analytic functions are, by the way. I guess the use of imaginary units is too complicated to simply look at by trigonometry, even though they collapse into real numbers 100% of the time.

Anyways, I decided on the format of the existing page around this time last year and have worked on it when I can ever since, which has been a pretty great learning experience in itself. No one has ever provided any specific feedback, so there's no telling how many errors or how much confusion permeates the page. At least when I find it myself, the fixes are simple. And the good thing about it is that I am pressuring myself to make it right by putting myself on blast.

I want to finish. I want the links to expand the headers. Nobody wants this more than I do. It's like a baby I'm trying to teach how to walk so that it can grow up and function in the world. One person did offer to help with that and said it was easy, but I haven't heard from them since, which was early this year. So, I aim to make another focused attempt at it before officially moving onto derivatives, because it is bothersome and I can't let it go unfinished before everything else gets finished.

It feels weird getting compliments on the page at all because of that one element, but I'm grateful that people are looking at it and seeing its value.

Side note: I'm cranky as hell because my teeth have decided to torture me into insanity.

There's so much I want to say, but there's not really anywhere to say it, so I'm starting this blog. I started this website almost two years ago, because I found Neocities to be a friendlier and more inclusive environment than the Spacehey environment that I was primarily on. Now it seems like emotionally disturbed individuals from there are spilling over onto here anyways and bringing their behavior with them. Fortunately, that is something that can be ignored for the most part, which is why I'm selective with whom I follow and interact.

I started on Spacehey because a friend had recommended it to me, even though he never created an account. Lol. I found that I could somewhat share some old projects on there with a sense of permanence, but it was fairly limited, being unable to upload files or turn them into pages to an extent. I found Neocities when searching for alternatives and was not disappointed. The pages under featured on my index are what I wanted to spread awareness about the most. That's still very hard to do when most people in general are stuck on humanities and entertainment subjects and don't care about science at all, but I'm still not disappointed, because at least now they are being seen. With at least someone out there seeing the information, I'm satisfied to be doing my part in contributing to peoples' knowledge.

I'm a frustrated individual because of peoples' ignorance and dumbass decisions I've been forced to witness and even suffer throughout life, so I'm doing what I can to draw attention to the site now. It's not about me or my other projects anymore, which is why I use an alias, it's about influencing society to dig ourselves out of the idiocracy in which we are deeply entrenched. I'm tired of dealing with loud mouth stupid assholes who just go around irritating everyone with dumb bullshit and getting ahead by doing it, because they attract people that are even dumber than they are. Sound like anyone, someone in a lead role perhaps? Isn't anyone else tired of this?

Well guess what? Education is going to be the primary motivating force that will eventually change that, and that doesn't mean forcing bibles into schools before Project 2025 dissolves the Department of Education. I'm talking about informative books and resources, not the most boring form fiction has to offer. I'm going to continue to grow a hub of links to where fantastic sources of information can be found, and I'm going to inspire others to do the same in one way or another. The truth is we could never count on public school to teach us anyways, so we have to start by owning the responsibility for ourselves.