The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number ...

Discover what exponential growth is, learn how it differs from other growth types, and explore real-life examples like compounding interest and population growth.

Abstract: Deciphering the three-dimensional structure of proteins remains a grand challenge in biology and medicine, as it holds the key to understanding their biological functions and facilitating ...

ABSTRACT: This paper presents a nonlinear micropolar nonclassical mathematical continuum theory for finite deformation/finite strain deformation physics of compressible thermoviscoelastic solids based ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Graph database vendor Neo4j Inc. is teaming up with Snowflake Inc. to make a library of Neo4j’s graph analytics functions available in the Snowflake cloud. The deal announced today allows users to ...

Biological systems can process information without expending energy, and the limit to what can be achieved in this way is known as a Hopfield barrier. We characterize this barrier for the sharpness of ...

State-space models (SSMs) are crucial in deep learning for sequence modeling. They represent systems where the output depends on both current and past inputs. SSMs are widely applied in signal ...

Abstract: In this paper, a decentralized implementation of heat kernel smoothing (HKS) is presented by using a rational graph filtering method. First, the basics of graph signal processing (GSP) are ...

Department of Systems Biology, Harvard Medical School, Boston, MA, United States The linear framework uses finite, directed graphs with labelled edges to model biomolecular systems. Graph vertices ...