Discover a fast and powerful calculus-based method for finding square roots with impressive accuracy. This explanation shows how derivatives and iterative approximation can be used to quickly zero in ...

ABSTRACT: In this paper, we investigate fixed point results for Jaggi-type F-contractions in the framework of cone b-metric spaces. Motivated by the need for faster convergence in iterative methods, ...

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: Developing a coordinated optimal dispatch (COD) strategy for distribution systems (DS) and accessed microgrids (MGs) is one of the solutions to enhance the flexible operation of power ...

Abstract: In various video-language learning tasks, the challenge of achieving cross-modality alignment with multi-grained data persists. We propose a method to tackle this challenge from two crucial ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

ABSTRACT: In this paper, we establish an SIR reaction-diffusion infectious disease model with saturated incidence rate and vaccination. Firstly, we prove the uniform boundedness of the solution of ...

Iteration has always been at the heart of human engagement and learning. From the probing questions of Socratic dialogues to the collaborative discussions in hospital rounds, and even the storytelling ...

A startup called Iterative Inc., which is focused on helping to improve and streamline workflows for artificial intelligence engineers, today announced a new open-source tool called DataChain that it ...