home.social

#discretemath — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #discretemath, aggregated by home.social.

  1. Alright, future engineers!

    **Modulo Arithmetic:** The remainder after division.
    Ex: `10 mod 3 = 1` (since `10 = 3*3 + 1`).
    Pro-Tip: Super useful for clocks & cyclical patterns – it wraps around!

    #DiscreteMath #NumberTheory #STEM #StudyNotes

  2. Alright, future engineers!
    **Pigeonhole Principle:** If `n` items go into `m` containers & `n > m`, at least one container has >1 item.
    Ex: 7 pigeons, 6 holes => one hole has >= 2 pigeons.
    Pro-Tip: Great for proving existence without finding *which* one!
    #DiscreteMath #Proof #STEM #StudyNotes

  3. Alright, future engineers!
    **Combinations:** Ways to choose items from a set where order *doesn't* matter.
    Ex: Picking 3 ice cream flavors from 10: C(10,3) = 120 ways.
    Pro-Tip: Think teams or groups – the order of selection is irrelevant!
    #Combinatorics #DiscreteMath #STEM #StudyNotes