• @FilthyShrooms@lemmy.world
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      1623 days ago

      Studying engineering made me hate pure math more than I should lol, I really wish I learned linear algebra in a practical sense. Like really when will I ever be working in infinite dimensions?

      • PM_ME_VINTAGE_30S [he/him]
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        22 days ago

        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.

        • @affiliate@lemmy.world
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          422 days ago

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

          If you stretch your imagination a bit, then you can think of vectors as functions. A (real) n-dimensional vector is a list of numbers (v1, v2, …, vn), which can be thought of as a function {1, 2, …, n} → ℝ, where k ∊ {1, …, n} gets sent to vk. So, an n-dimensional (real) vector space is a collection of functions {1, 2, …, n} -> ℝ, where you can add two functions together and multiply functions by a real number.

          Under this interpretation, the idea of “infinite-dimensional” vector spaces becomes much more reasonable (in my opinion anyway), since it’s not too hard to imagine that there are situations where you want to look at functions with an infinite domain. For example, you can think of an infinite sequence of numbers as a function with infinite domain. (i.e., an infinite sequence (v1, v2, …) is a function ℕ → ℝ, where k ∊ ℕ gets sent to vk.)

          and this idea works for both “countable” and “uncountable” “vectors”. i.e., you can use this framework to study a vector space where each “vector” is a function f: ℝ → ℝ. why would you want do this? because in this setting, integration and differentiation are linear maps. (e.g., if f, g: ℝ → ℝ are “vectors”, then D(f + g) = Df + Dg, and ∫*(f+g) = ∫f + ∫g, where D denotes taking the derivative.)

          • PM_ME_VINTAGE_30S [he/him]
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            121 days ago

            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.

    • @drolex@sopuli.xyz
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      423 days ago

      Truly, the flesh is weak, if you value her mortal and imperfect form above the pure essence of theory.

      Alas, I am concerned about the future of humanity.

      • @LibertyLizard@slrpnk.net
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        622 days ago

        Lol I agree with her though. She’s just more passionate about it since she is a professional math-er and I’m not. Corrupted in both flesh and spirit, and we like it that way.

    • @ThatWeirdGuy1001@lemmy.world
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      23 days ago

      The original comic her dad finds a Bible. Originally she yelled “God bless you dad” to which the dad responded “Go have premarital sex and get an abortion right now!”

      It’s a comic by a right wing nut who thinks women are oppressed by having free will.

    • @fossilesqueOPM
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      1923 days ago

      I’m pretty sure it’s some crazy right-wing artist, which kind of makes the edit even funnier, IMO.

  • @xantoxis@lemmy.world
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    1022 days ago

    I recognize the art style and so I know that this is a bigot’s comic, originally. I humbly request that you don’t elevate this bigot’s comics. Even if you’re changing the words, it still puts him in front of more people.

    • @fossilesqueOPM
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      22 days ago

      After growing up around people like this, I prefer to bully and ridicule other bullies and bastardise their work. Public shaming is effective and they lose agency over their own hateful tools. Ignoring problems doesn’t work, they are a festering disgusting wound. Make them the joke they are and I encourage others to warn others what they are. They are fundamentally insecure, weaponise their own bullshit back at them.

      • @xantoxis@lemmy.world
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        22 days ago

        Public shaming is effective

        This isn’t public shaming. The original creator didn’t make this version of the comic and has no responsibility for it.

        Had you ever heard of stonetoss before people started posting his shit to “publicly shame” it? Well, neither had thousands of chuds who probably read it every day now.

    • @InFerNo@lemmy.ml
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      2022 days ago

      Because you’re NoT eXpLaiNiNg why and nothing about this image implies anything to be up in arms about. Just say why and clear things up.

    • @Slovene@feddit.nl
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      21 days ago

      Because the bigot’s name or face aren’t shown.

      Edit: just noticed that their name IS still shown. Please edit it out before posting, like we do with pebbleyeet edits.

  • @Gustephan@lemmy.world
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    221 days ago

    WE DONT BELIEVE IN KUTTING ANY RUNGES IN THIS HOUSE. YOURE GROUNDED UNTIL YOU PROVE OR DISPROVE THE EQUIVALENCE BETWEEN THESE TWO KNOTS!!