PM_ME_VINTAGE_30S [he/him]

Anarchist, autistic, engineer, and Certified Professional Life-Regretter. I mosty comment bricks of text with footnotes, so don’t be alarmed if you get one.

You posted something really worrying, are you okay?

No, but I’m not at risk of self-harm. I’m just waiting on the good times now.

Alt account of PM_ME_VINTAGE_30S@lemmy.sdf.org. Also if you’re reading this, it means that you can totally get around the limitations for display names and bio length by editing the JSON of your exported profile directly. Lol.

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Joined 1 year ago
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Cake day: July 9th, 2023

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  • Infinite-dimensional vector spaces also show up in another context: functional analysis.

    From an engineering perspective, functional analysis is the main mathematical framework behind (1) and (2) in my previous comment. Although they didn’t teach functional analysis for real in any of my coursework, I kinda picked up that it was going to be an important topic for what I want to do when I kept seeing textbooks for it cited in PDE and “signals and systems” books. I’ve been learning it on my own since I finished Calc III like four years ago.

    Such an incredibly interesting and deep topic IMO.


  • I actually designed a digital equalizer using an IIR filter this semester, which actually does theoretically work on sequences of numbers, which constitutes an infinite dimensional vector space. The actual math was just algebra and programming, but it was an implementation of a Z-transform transfer function which is a sequence operator (maps input sequence to output sequence).

    IMO infinite-dimensional stuff shows up in two types of problems:

    1. For some reason, you need to solve the partial differential equation you started with, i.e. you can’t use symmetry or approximations to simplify it into an ordinary differential equation.

    2. When you’re dealing with signals that change in time or space, you have to decompose those signals into simpler signals that are easier to analyze.



  • IMO LyX is way simpler than LaTeX for basic stuff, but because it is literally not Microsoft Word I couldn’t really use it to collaborate with people this semester, let alone convince them to work on a full LaTeX document. LyX would be the way to go if my colleagues were even remotely interested in learning about literally anything. You can lead a horse to water, but you can’t make it drink…