The dunk already happened as you can see but here's the link if you wanna go marvel at the real thing: https://twitter.com/renatokara/status/1412484734949675013?s=19

  • 0karin728 [any]
    ·
    3 years ago

    The df terms in df/dx and df/dt represent fundamentally different things tho, so you couldn't just cancel them like that even if you're thinking of it as a fraction. The df term in df/dt is some function of t (say g(t)dt, if you think of dt as an arbitrarily small incriment in t) and in df/dx it's some function of x (say h(x)dx)).

    This turns df/dx =df/dt into (g(t)dt)/dt) = (h(x)dx)/dx, which reduces to g(t)=h(x), which is fine and doesn't cause any contradictions.

    • Pezevenk [he/him]
      ·
      edit-2
      3 years ago

      The df terms in df/dx and df/dt represent fundamentally different things tho

      That is why you shouldn't think of them as fractions lol

      EDIT: What I mean is that when you look at the notation and treat it as a simple fraction, the dfs look like they're the same thing.