Abstract: Machine learning is a rapidly advancing field with diverse applications across various domains. One prominent area of research is the utilization of deep learning techniques for solving ...

All methods which include treatment of relativistic effects are ultimately based on the Dirac equation, which has a four component wave function. The solutions to the Dirac equation describe both ...

Hausdorff's math unveils the beauty in distance and dimension, a world of self-similar wonder. Hausdorff's math unveils the beauty in distance and dimension, a world of self-similar wonder.

A behind-the-scenes blog about research methods at Pew Research Center. For our latest findings, visit pewresearch.org. Every survey finding published by Pew Research ...

1 Warwick Mathematics Institute, The University of Warwick, Coventry, United Kingdom 2 School of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, China To ...

Abstract: We derive novel deterministic bounds on the approximation error of data-based bilinear surrogate models for unknown nonlinear systems. The surrogate models ...

Sports card collectors tend to want absolute perfection in the cards they are collecting. That is not the case though when it comes to chasing after true error cards ...

Recent approaches to leveraging deep learning for computing reachable sets of continuous-time dynamical systems have gained popularity over traditional level-set methods, as they overcome the curse of ...

ABSTRACT: In order to introduce left and right truncated versions of the modified lognormal with a power-law distribution, we derive its probability density function, its distribution function, its ...

ABSTRACT: This paper presents two sets of considerations on the use of approximations to estimate freight trip generation (FTG) and freight generation (FG) rates, based on a single variable. Following ...