Science Tech Brief By HackerNoon
Trailer
Bonus
Episode null
Season 1
Exploring Hockey Stick Theorems: Proof of Results and References
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.