Zobrazeno 1 - 10
of 353
pro vyhledávání: '"Kotal, P."'
In this article, we study two fundamental questions on polyomino ideals which are radicality and primality. In order to study the question of radicality, we initiate the study of Knutson ideals among polyominoes. Knutson ideals were introduced by Con
Externí odkaz:
http://arxiv.org/abs/2411.16364
We present a comprehensive investigation exploring the theoretical framework of Einstein-Aether gravity theory when combined with two novel cosmological paradigms: the Barrow Agegraphic Dark Energy (BADE) and its newer variant, the New Barrow Agegrap
Externí odkaz:
http://arxiv.org/abs/2410.19897
Autor:
Kotal, Anantaa, Joshi, Anupam
The integration of privacy measures, including differential privacy techniques, ensures a provable privacy guarantee for the synthetic data. However, challenges arise for Generative Deep Learning models when tasked with generating realistic data, esp
Externí odkaz:
http://arxiv.org/abs/2409.17315
In the realm of IoT/CPS systems connected over mobile networks, traditional intrusion detection methods analyze network traffic across multiple devices using anomaly detection techniques to flag potential security threats. However, these methods face
Externí odkaz:
http://arxiv.org/abs/2405.16476
Publikováno v:
International Journal of Geometric Methods in Modern Physics (2024)
In this research, we have reconstructed the extended $f(\mathcal{P})$ cubic gravity and symmetric $f(\mathcal{Q})$ teleparallel gravity from the $(m,n)$-type Barrow Holographic Dark Energy (BHDE) model. We have derived the unknown functions $f(\mathc
Externí odkaz:
http://arxiv.org/abs/2405.08050
Data protection and privacy is becoming increasingly crucial in the digital era. Numerous companies depend on third-party vendors and service providers to carry out critical functions within their operations, encompassing tasks such as data handling
Externí odkaz:
http://arxiv.org/abs/2404.19744
Autor:
Kotal, Nirmal
The notion of Frobenius Betti numbers generalizes the Hilbert-Kunz multiplicity theory and serves as an invariant that measures singularity. However, the explicit computation of the Frobenius Betti numbers of rings has been limited to very few specif
Externí odkaz:
http://arxiv.org/abs/2401.00783
Big Data empowers the farming community with the information needed to optimize resource usage, increase productivity, and enhance the sustainability of agricultural practices. The use of Big Data in farming requires the collection and analysis of da
Externí odkaz:
http://arxiv.org/abs/2311.15460
Autor:
Kotal, Nirmal, Kummini, Manoj
In this note, we give a description of the parameter test submodule of Rees algebras. This, in turn, describes the non-$F$-rational locus.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
http://arxiv.org/abs/2311.07074
Autor:
Kotal, Nirmal, Saha, Kamalesh
In this paper, we show the equality of the (local) $\mathrm{v}$-number and Castelnuovo-Mumford regularity of certain classes of Gorenstein algebras, including the class of Gorenstein monomial algebras. Also, for the same classes of algebras with the
Externí odkaz:
http://arxiv.org/abs/2311.04136