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Exploring Hockey Stick Theorems: Proof of Results and References
Manage episode 425998942 series 3474373
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.
135 قسمت
Manage episode 425998942 series 3474373
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.
135 قسمت
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