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#discretemath — Public Fediverse posts

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  1. Alright, future engineers!

    **Cartesian Product:** The set of all ordered pairs (a,b) where 'a' is from set A & 'b' from set B.
    Ex: A={1,2}, B={x,y} => AxB = {(1,x), (1,y), (2,x), (2,y)}.
    Pro-Tip: `|AxB| = |A| * |B|`. Use for counting total outcomes!

    #SetTheory #DiscreteMath #STEM #StudyNotes

  2. Alright, future engineers!

    **Vertex Degree:** The number of edges connected to a vertex (node) in a graph.
    Ex: If 'A' connects to 'B' & 'C', deg(A)=2.
    Pro-Tip: Sum of all degrees = 2 * (total edges). Great for checking graph validity!

    #GraphTheory #DiscreteMath #STEM #StudyNotes