Abstract: Spectral graph theory is the study of the eigenvalues and eigenvectors of matrices associated with graphs. In this tutorial, we will try to provide some intuition as to why these ...

In the modern digital age, managing and extracting information from extensive PDF documents can be a daunting task. However, with the advancement of AI technology, tools like Bing AI in Microsoft Edge ...

Abstract: Markov chains are a class of probabilistic models that have achieved widespread application in the quantitative sciences. This is in part due to their versatility, but is compounded by the ...

On March 15, intriguing seminar announcements sent rumblings through the field of combinatorics, the mathematical study of counting. Three collaborators planned to give coordinated talks the following ...

Over the last few decades, enhanced sampling methods have been continuously improved. Here, we exploit this progress and propose a modular workflow for blind reaction discovery and determination of ...

The SGTL library is deprecated and will not be updated. The functionality currently available in SGTL will soon be included in the STAG library and the corresponding python package. SGTL is a python ...

In a regular icosahedron (purple), six main interior diagonals (red lines) make equal angles with each other. Credit: Image: Zilin Jiang How many lines can be pairwise separated by the same angle in ...

ABSTRACT: In this work we study two types of Discrete Hill’s equation. The first comes from the discretization process of a Continuous-time Hill’s equation, we called Discretized Hill’s equation. The ...