• 0 Posts
  • 174 Comments
Joined 1 year ago
cake
Cake day: June 12th, 2023

help-circle
  • Kogasa@programming.devtoMemes@lemmy.mlMath
    link
    fedilink
    arrow-up
    14
    ·
    edit-2
    18 days ago

    Stokes’ theorem. Almost the same thing as the high school one. It generalizes the fundamental theorem of calculus to arbitrary smooth manifolds. In the case that M is the interval [a, x] and ω is the differential 1-form f(t)dt on M, one has dω = f’(t)dt and ∂M is the oriented tuple {+x, -a}. Integrating f(t)dt over a finite set of oriented points is the same as evaluating at each point and summing, with negatively-oriented points getting a negative sign. Then Stokes’ theorem as written says that f(x) - f(a) = integral from a to x of f’(t) dt.







  • I tend to agree, but I also don’t see it as a fault of Linux/Arch. If you’re not the sysadmin for your own system, who is? I’d rather do it, assisted by the collective knowledge of the community, than have Microsoft do it for me. For the last few years it’s only required a handful of interventions, with the vast majority of time being spent on initial setup and (re) configuration rather than fixing bugs or addressing breaking changes. So IMO it’s more of a test of your personal willingness to invest time into learning and building things than your ability to diagnose and solve technical issues.









  • Kogasa@programming.devtoMemes@lemmy.ml6÷2(1+2)
    link
    fedilink
    arrow-up
    2
    arrow-down
    1
    ·
    4 months ago

    The distributive law has nothing to do with brackets.

    The distributive law can be written in PEMDAS as a(b+c) = ab + ac, or PEASMD as ab+c = (ab)+(ac). It has no relation to the notation in which it is expressed, and brackets are purely notational.