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#prooftech — Public Fediverse posts

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  1. **Mathematical Induction:** A powerful proof technique to show a statement holds for all natural numbers.
    Ex: Prove 1+2+...+n = n(n+1)/2 for all n>=1.
    Pro-Tip: Think of it like a chain of dominoes! If the first falls & each falling domino knocks the next, they all fall.
    #DiscreteMath #ProofTech #STEM #StudyNotes

  2. Alright, future engineers!
    **Proof by Induction:** Show P(1) is true, then assume P(k) true to prove P(k+1) true.
    Ex: Proving `1+...+n = n(n+1)/2`.
    Pro-Tip: Think of it like dominoes! Knock down the first, then show if one falls, the next does too.
    #ProofTech #DiscreteMath #STEM #StudyNotes