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Exploring Hockey Stick Theorems: Proof of Results and References

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Manage episode 425998942 series 3474373
Indhold leveret af HackerNoon. Alt podcastindhold inklusive episoder, grafik og podcastbeskrivelser uploades og leveres direkte af HackerNoon eller deres podcastplatformspartner. Hvis du mener, at nogen bruger dit ophavsretligt beskyttede værk uden din tilladelse, kan du følge processen beskrevet her https://da.player.fm/legal.

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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135 episoder

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Manage episode 425998942 series 3474373
Indhold leveret af HackerNoon. Alt podcastindhold inklusive episoder, grafik og podcastbeskrivelser uploades og leveres direkte af HackerNoon eller deres podcastplatformspartner. Hvis du mener, at nogen bruger dit ophavsretligt beskyttede værk uden din tilladelse, kan du følge processen beskrevet her https://da.player.fm/legal.

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.

  continue reading

135 episoder

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