• Exploring Hockey Stick Theorems: Proof of Results and References

  • Jun 27 2024
  • Length: 2 mins
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Exploring Hockey Stick Theorems: Proof of Results and References

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  • This story was originally published on HackerNoon at: https://hackernoon.com/exploring-hockey-stick-theorems-proof-of-results-and-references.
    Investigating hockey stick theorems in Pascal's and trinomial triangles, revealing patterns akin to ball trajectories in combinatorial mathematics.
    Check more stories related to science at: https://hackernoon.com/c/science. You can also check exclusive content about #math, #pascal's-triangle, #trinomial-triangle, #hockey-stick-theorem, #combinatorial-mathematics, #mathematical-theorems, #pascal's-identity, #mathematical-patterns, and more.

    This story was written by: @hockeystick. Learn more about this writer by checking @hockeystick's about page, and for more stories, please visit hackernoon.com.

    In the proof of both theorems, we use induction. This paper is available on arxiv(https://arxiv.org/abs/1404.5106) under CC BY 4.0 DEED license. The hockey stick theorem in the trinomial triangles has been proved. It can be translated in Pascal pyramid as follows.

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