Kevin Lieber of Vsauce2 explores the hidden patterns and complex mathematical secrets of Pascal's Triangle.

Kevin Lieber of Vsauce2 explores the fascinating mathematical structures found within Pascal's triangle and probability.

A famous problem at the intersection of topology and combinatorial graph theory is the Utility Problem. Say you have three houses and three utilities and you need to connect each house to each utility ...

Abstract: The decoding complexity of polarization-adjusted convolutional (PAC) codes and Polar codes is significantly affected by the efficiency of partial-sum updates. In this letter, we propose a ...

This paper provides a useful new theory of the hallucinatory effects of 5-HT2A psychedelics. The authors present convincing evidence that a computational model trained with the Wake-Sleep algorithm ...

Smart agriculture is a key link in the modernization of agriculture, bringing together the latest findings of modern science and technology, while working with agricultural production techniques to ...

Abstract: As individuals age, their facial features change, which can hinder the accuracy of face recognition technology. To address this challenge, a new cross-age face recognition algorithm, ...

Fractals are repeating patterns in which substructures at smaller scales resemble structures at larger scales 1. These shapes are fascinating because they can be constructed using simple mathematical ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. Non-Commercial (NC): Only non-commercial uses of the work are permitted. Simulating ...

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.jpca.0c08029. Smart citations by scite.ai include citation statements ...