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Cake day: July 6th, 2023

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  • In case you’re in this situation in future, you can use section breaks before and after the page and give the middle section a different header/footer. It’s still not great because you can’t (to my knowledge) tie the section before to the section after so now you have to change both the first and third sections any time you want to adjust the main header/footer.









  • If we know the values of ln(-1)¹⁰ and pi¹⁰ we hypothetically could calculate their divided result as -1 instead of using strict logic, but it is missing a few steps. Moreover logs of negative numbers just end up with an imaginary component anyway so there isn’t really any progress to be made on that front. Typing ln(-1)¹⁰ into my scientific calculator just yields i¹⁰pi¹⁰, (I’m guessing stored rather than calculated? Maybe calculated with built in Euler) so the result of division is just i¹⁰ anyway and we’re back where we started.









  • Dalvoron@lemm.eetoScience Memes@mander.xyzApplications
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    5 months ago

    I have seen 1 called a trivial factor, but I have never seen it excluded entirely from a factor list: perhaps it’s a cultural thing like how 0 is/isn’t a natural number depending on where you are from.

    On further research it seems like my earlier critique about requiring exactly two prime factors is a little off in any case, as it would exclude e.g. 4 (which only has one prime factor). It seems like semi primes must be a product of exactly two prime numbers so I think any definition based on number of factors is doomed to over- or under- define these semi primes as they could have either three or four factors.