eigenℝesidue

WHAAAT THE FUUUUCCKIN FUCK

MY CODE WORKS OH MY GOD FINALLY IT WORKS OH MY GOD

what business does Elmo have to be connected to my university’s lecture streaming platform :(

I’ll try to explore this more rigorously somewhere later

7/12/2025 9:49AM --------------------- photos 1-4 After hovering over numerous different topics in mathematical physics, I decided to finally start learning calculus of variations to support my further study downstream in classical mechanics. I have always really struggled with going from physics -> math and upon reading a junior-level classical mechanics textbook three weeks ago, I felt like an actual Physics major -- constantly lost and confused at what I'm reading or doing. So, I decided to study the mathematical theory behind it first before tackling anything (which is just simply something I should have done to begin with since I've known that works...) I first got the idea because my friends in Physics learned classical mechanics last semester and I found it very interesting - but could barely follow whatsoever. Granted I only showed up to two of their courses halfway through the semester, I still found a common theme of 'optimization' or at least efficient calculation in order to determine some parameter or value. It immediately resonated to a memory I had in high school, when we were learning about basic optimization theory in calculus AB and I found myself absolutely bewildered. I mean, coming from a purely middle-school geometric and algebraic standpoint, it was insane to me that you had such a simple process to the maximization of some parameter. I mean, to me, this is the heart of applied calculus - sure it can get complex, but it will always be something as simple as f'(x) = 0, f''(x) > 0r f''(x) < 0. Even in a multivariate sense this rings true, ∇f = 0, ∇⋅∇f/H and its properties, etc. I decided to use the little analysis I learned last semester and apply the basic ideas we learned (and honestly I might not have applied them correctly, I might have written something wrong or weird, you can detonate a bomb within 2 km of me if you want) and attempt to prove or the very least provide an outline on what I think you would need to prove things like the extreme value theorem or f'(x) = 0. My general philosophy on life and take is a novelty-based approach, and I've always been incredibly impatient when it comes to experiencing things I've already experienced before and provide no value, but applying the analysis to see things I already knew in a different light or way was satisfying and sort of a message to myself that it's okay to go back and redevelop your foundations. It's never a bad idea and in fact, I'm pretty sure neuroscience supports this position of *meaningful* repetition being the optimization of learning (haha). So, whenever you can, change your basis -- the result might be the same but the new process can be quite enlightening. (This is still consistent with my approach on life, see? I love new things) Resources I am using: https://youtu.be/6HeQc7CSkZs?si=-5AJtuXTkTbh7AqZ Classical Mechanics by John Taylor Fractals Everywhere by Michael Barnsely, which covers precisely the same exact sequence (haha) and concepts that I learned in my proofs + analysis course, was a good review and nice read. Might read a little more later. 5th image is just me trying to understand ray angles and construct them for some software I am making at work. 6th was my work outfit because this is my Tumblr and I can be as slutty and weird as I fucking want. Bye

>written from the perspective of an open individualist or panpsychism, nov14 2023. fun lil thought experiment. although you can definitely tell i don't share the same beliefs as you read (i pose some strange questions and lines of thought i imagine someone who adopts this framework wouldn't ask or talk about) >what do you think about panpsychism? do you think it's a better explanation for consciousness by explaining or describing an idea that typical frameworks do not? or does it lose accuracy in its romanticism