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Cake day: June 15th, 2023

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  • someacnt_@lemmy.worldtoScience Memes@mander.xyzVectors Part 2
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    10 days ago

    When talking about vector space, you usually need the “scalar (field)”, and scalars need inverse to be well-defined.

    So for integers, the scalar should be integer itself. Sadly, inverse of integers stops being an integer, from where all sorts of number theoretic nightmare occurs Instead, integers form a ring, and is a module over scalar of integers.




  • It was far long ago when I learned these stuff, but I recall that orbitals is more about probability to exist at certain points. So orbitals are more “diffuse” and “fuzzy”: there is a probability of an electron to exist 5m away from its nuclei, just the probability is astronomically low. Hence, there is no concept of concrete “touch” at this level.