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Cake day: June 16th, 2023

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  • rImITywR@lemmy.worldtoLemmy Shitpost@lemmy.worldHeh heh
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    12 days ago

    Windows, radiators and water heater are 30+ years old and heat has to be on full blast 24/7 to keep the place above 20C in the winter, and multiple window AC units are required to keep the place below 30C in the summer. Landlord pays nothing to update, and renter keeps paying huge energy bills, and being uncomfortable the whole time. - renting

    Homeowner spends a few grand to buy efficient furnace, central AC, and windows and saves money on energy bills every month and upgelrades pay for themselves while staying nice and comfy. - home owner







  • It’s more that all the interesting things that come from prime numbers don’t really work if you include 1 as a prime. So every time you talked about primes you would have to say “something something prime number, other than 1, yadda yadda”.

    For example: The Fundamental Theorem of Arithmetic states that every natural number can be expressed as a finite product of primes, and that prime factorization is unique.

    So

    12 = 2^2 x 3
    

    is the only way to express 12 as a product of primes. But if we include 1 as a prime, then

    12 = 1 x 2^2 x 3
        = 1^2 x 2^2 x 3
        = 1^3 x 2^2 x 3
    

    etc. There are infinite prime factorization of every natural number, and the most interesting part of the Fundamental Theorem of Arithmetic no longer holds.