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Joined 1 year ago
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Cake day: July 4th, 2023

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  • nachom97@lemmy.worldtoMemes@lemmy.mlMind=Blown
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    1 year ago

    Yes, thats what we’re saying. No one said it’s an infinitesimally small difference as in hyperbolically its there but really small. Like literally, if you start with 0.9 = 1-0.1, 0.99 = 1-0.01, 0.9… n nines …9 = 1-0.1^n. You’ll start to approach one, and the difference with one would be 0.1^n correct? So if you make that difference infinitely small (infinite: to an infinite extent or amount): lim n -> inf of 0.1^n = 0. And therefore 0.999… = lim n -> inf of 1-0.1^n = 1-0 = 1.

    I think it’s a good way to rationalize, why 0.999… is THE SAME as 1. The more 9s you add, the smaller the difference, at infinite nines, you’ll have an infinitely small difference which is the same as no difference at all. It’s the literal proof, idk how to make it more clear. I think you’re confusing infinitely and infinitesimally which are not at all the same.


  • nachom97@lemmy.worldtoMemes@lemmy.mlMind=Blown
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    1 year ago

    They said its the same number though, not basically the same. The idea that as you keep adding 9s to 0.9 you reduce the difference, an infinite amount of 9s yields an infinitely small difference (i.e. no difference) seems sound to me. I think they’re spot on.



  • for sure a proxmox server is great, id just say don’t go for the cluster just yet. Frankly, most self hosted stuff is dockerized and thats a huge plus. And it seems you already have that sorted out (id even ask you if casa OSs fileshare and an external drive could handle the NAS aspect).

    I say this not to be a killjoy, but because I have a proxmox node I both overbuilt (for small services and running off a UPS) and underbuilt (for multiple big VMs) all because bought it to, and i kid you mot, “use it for NAS, and a window VM and run other random things that I don’t know yet”. 2 years in and i still don’t know what those random things are.

    So, my two cents: start cheap get a node to learn and understand where you want to go from there.