Uluberia College (Bengali: উলুবেড়িয়া কলেজ) is an undergraduate college in Uluberia, in Howrah district, West Bengal, India. The college is affiliated with the University of Calcutta.
Atomic system in fuzzy Hilbert space is introduced and the existence of the fuzzy atomic systems for a strongly fuzzy bounded linear operator is studied. The notion of a K-frame in fuzzy Hilbert space is presented and some of their characterizations are given. We will see that fuzzy frame operator of a fuzzy K-frame in fuzzy Hilbert space is invertible under some sufficient condition and validates this by giving some examples. Fuzzy K-frame property in fuzzy Hilbert space preserve by a strongly fuzzy bounded linear operator is established. We will describe stability condition of fuzzy K-frame in fuzzy Hilbert space under some perturbations. We construct new types of fuzzy K-frame using fuzzy K-frame in fuzzy Hilbert space. Further, it is seen that scalar combinations and product of two fuzzy K-frames is also a fuzzy K-frame in fuzzy Hilbert space
Archaeal genomes are known to contain intronless, intron-containing, and split transfer RNA (tRNA) genes; yet identifying all of them remains a challenging task in bioinformatics due to their unusual structures and complex features. Many rare or hidden tRNA genes are often missed by standard computational tools. In this study, we aimed to identify such overlooked tRNA genes by examining whether distant regions of the genome can together form a functional tRNA molecule. To achieve this, we developed a computational method, tRNA search algorithm. This method scans the genome for conserved sequence motifs at the 5′ and 3′ ends and reconstructs possible tRNA structures following the split tRNA concept. The predicted sequences were further analyzed for their cloverleaf secondary structure and characteristic splice-site motifs such as bulge–helix–bulge (BHB). Using this approach, we analyzed the genome of Methanosarcina barkeri strain Wiesmoor (MBSW) and identified several previously undetected split tRNA genes. Notably, we found rare tRNAs with adenine at position 34 of the anticodon and observed unique exon arrangements where a common exon combines with different variable exons to form functional tRNAs. These findings improve genome annotation and enhance understanding of tRNA diversity and evolution.
In this work, we explore a unified gravity framework referred to as Rastall-Rainbow (R-R) gravity, which synthesizes features of Rastall gravity with the energy-dependent spacetime of Rainbow gravity. Within this formulation, we examine the dynamical behavior of a Friedmann-Robertson-Walker (FRW) universe by employing phase-plane techniques. The stability of the system is investigated through trajectories in the (zeta,chi) plane, highlighting conditions under which cosmic evolution remains dynamically consistent. Furthermore, we connect the theory to observationally motivated quantities by reconstructing cosmographic parameters such as the deceleration, jerk, snap, and lerk indices. These diagnostics provide a model-independent description of cosmic kinematics, enabling a deeper understanding of the expansion history in the R-R framework. Graphical analysis illustrates distinct evolutionary features and possible departures from standard cosmology, suggesting that the unified approach can serve as a viable alternative gravitational model for describing the universe's late-time acceleration.
We introduce the notion of weaving continuous controlled K-g-fusion frame in Hilbert space. Some characterizations of weaving continuous controlled K-g-fusion frame have been presented. We extend some of the recent results of woven K-g-fusion frame and controlled K-g-fusion frame to woven continuous controlled K-g-fusion frame. Finally, a perturbation result of woven continuous controlled K-g-fusion frame has been studied.
This paper presents the reconstructed [Formula: see text] cubic gravity from Barrow Holographic Dark Energy (BHDE), Barrow Agegraphic Dark Energy (BADE) and New Barrow Agegraphic Dark Energy (NBADE). By considering the scale factor of the universe as [Formula: see text] and the deformation quantity of the quantum gravity by [Formula: see text], we have reconstructed the [Formula: see text] cubic gravity and then we have analyzed the reconstructed models through cosmic parameters, namely, by deceleration and state parameters taking different values of deformation quantity [Formula: see text]. Also, we have focused on the dark energy perturbation stability through the sound-squared speed parameter. Again, we have projected the evolution of the universe in the plane of [Formula: see text]-[Formula: see text].
