(Inspired by Reddit post of the last month)

      • Zagorath@aussie.zone
        link
        fedilink
        English
        arrow-up
        3
        ·
        1 year ago

        F-holes are the name specifically for the holes in the violin family and the contrabass. The more general term is sound hole, which also includes the c-holes of the viol family or the large round hole of a guitar.

        F-holes, in particular, are shaped pretty much exactly like an integration sign.

      • SuperSpruce@lemmy.ml
        link
        fedilink
        English
        arrow-up
        1
        ·
        1 year ago

        AP scores go from 1 to 5, with 5 being the best. A 3 indicates an average score. It will most likely not be enough to pass out of a college course, unless the university is less intensive in its calculus courses.

      • Magnetar@feddit.de
        link
        fedilink
        English
        arrow-up
        1
        ·
        1 year ago

        I mean they’re right, Leibniz used a modified s for summa, sum. And an integral is just a sum, an infinite sum over infinitesimal summands, but a sum nevertheless.

        • CanadaPlus@lemmy.sdf.org
          link
          fedilink
          English
          arrow-up
          1
          ·
          edit-2
          1 year ago

          No judgement, but you should know it’s not that simple. You can’t just pull out your calculator and add together an uncountably infinite collection of values one-by-one.

          I mean, you could add together a finite subset of the values, which turns out to be the only practical way fairly often because a symbolic solution is too hard to find. You don’t get the actual answer that way, though, just an approximation.

          The actual symbolic approaches to integrals are very algebra-heavy and they often require more than one whiteboard to solve by hand. Blackpenredpen “math for fun” on YouTube if you want to see it done at peak performance.

      • CanadaPlus@lemmy.sdf.org
        link
        fedilink
        English
        arrow-up
        0
        ·
        edit-2
        1 year ago

        ACKTUALLY neither. It’s most simply thought of as a limit of progressively longer sums. Infinitesimals help people understand but they’re kind of logically questionable.

        • nLuLukna @sh.itjust.works
          link
          fedilink
          English
          arrow-up
          1
          ·
          edit-2
          1 year ago

          Actually that last point isn’t quite right, in the 1960s Robinson proved that the set of hyperreals were logically consistent if and only if the reals were.

          This put to rest the age-long speculation that the hyperreals were questionable.

          This speculation is a pain in the ass since it means that we primarily use limits when talking about this sort of thing.

          Which is fine, but infinitesimals are the coolest shit ever