This story was originally published on HackerNoon at: https://hackernoon.com/exploring-hockey-stick-theorems-abstract-introduction-and-description-of-results.
Investigating hockey stick theorems in Pascal's and trinomial triangles, revealing patterns akin to ball trajectories in combinatorial mathematics.
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This paper is available on arxiv(https://arxiv.org/abs/1404.5106) under CC BY 4.0 DEED license. The big hockey stick theorem is a special case of a general theorem which our goal is to introduce it. We state a hockey Stick theorem in the trinomial triangle too.

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.
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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.

This story was originally published on HackerNoon at: https://hackernoon.com/addressing-the-general-problem-of-studying-linear-stability-and-bifurcations-of-periodic-orbits.
Researchers study linear stability and bifurcations in Hamiltonian systems, using topological/combinatorial methods to refine the Krein–Moser theorem.
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Researchers study linear stability and bifurcations in Hamiltonian systems, using topological/combinatorial methods to refine the Krein–Moser theorem.

This story was originally published on HackerNoon at: https://hackernoon.com/how-fear-can-be-transformed-into-confidence.
This is an article about how fear can be transformed into confidence.
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This is an article about how fear can be transformed into confidence.

This story was originally published on HackerNoon at: https://hackernoon.com/creating-a-systematic-esg-scoring-system-discussion.
This project aims to create a data-driven ESG evaluation system that can provide better guidance and more systemized scores by incorporating social sentiment.
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This story was written by: @carbonization. Learn more about this writer by checking @carbonization's about page, and for more stories, please visit hackernoon.com.

This project aims to create a data-driven ESG evaluation system that can provide better guidance and more systemized scores by incorporating social sentiment.

This story was originally published on HackerNoon at: https://hackernoon.com/creating-a-systematic-esg-scoring-system-conclusion-and-bibliography.
This project aims to create a data-driven ESG evaluation system that can provide better guidance and more systemized scores by incorporating social sentiment.
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This story was written by: @carbonization. Learn more about this writer by checking @carbonization's about page, and for more stories, please visit hackernoon.com.

This project aims to create a data-driven ESG evaluation system that can provide better guidance and more systemized scores by incorporating social sentiment.

This story was originally published on HackerNoon at: https://hackernoon.com/unveiling-the-power-of-self-attention-for-shipping-cost-prediction-related-works.
New AI model (Rate Card Transformer) analyzes package details (size, carrier etc.) to predict shipping costs more accurately.
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New AI model (Rate Card Transformer) analyzes package details (size, carrier etc.) to predict shipping costs more accurately.

This story was originally published on HackerNoon at: https://hackernoon.com/unveiling-the-power-of-self-attention-for-shipping-cost-prediction-references.
New AI model (Rate Card Transformer) analyzes package details (size, carrier etc.) to predict shipping costs more accurately.
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This story was written by: @convolution. Learn more about this writer by checking @convolution's about page, and for more stories, please visit hackernoon.com.

New AI model (Rate Card Transformer) analyzes package details (size, carrier etc.) to predict shipping costs more accurately.