Axial symmetry cosmological constant vacuum solution of field equations with a curvature singularity, closed time-like curves and deviation of geodesics

In this paper, we present a type D, non-vanishing cosmological constant, vacuum solution of the Einstein's field equations, extension of an axially symmetric, asymptotically flat vacuum metric with a curvature singularity. The space-time admits closed time-like curves (CTCs) that appear after a certain instant of time from an initial spacelike hypersurface, indicating it represents a time-machine space-time. We wish to discuss the physical properties and show that this solution can be interpreted as gravitational waves of Coulomb-type propagate on anti-de Sitter space backgrounds. Our treatment focuses on the analysis of the equation of geodesic deviation.Comment: 17 pages, accepted for publication in Adv. High Energy Physics journa

Nabla fractional derivative and fractional integral on time scales

In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.publishe

An overview of the unexplored underutilized fruit crops of Assam, India

Assam is the largest state of North-East India. This state is considered as one of the most extravagant biodiversity hotspots of the world because of its different geography, atmosphere and agro-environmental conditions. Various plant species that incorporate natural products have their starting point in this locale. A considerable number of these are yet to be developed in wild or semi-wild states. Regardless of the huge hereditary decent variety of these natural products, just a couple have been grown as business crops for their monetary, social and strict significance. Some of the explored fruit crops of Assam that have many potentials of being used not only in culinary purpose but also in much Ayurvedic medicine which is still underutilized Some of the underutilized fruit (UUF) crops of Assam are Kordoi/Carambola (Averrhoa Carambola), Leteku/Burmese grape (Baccurea sapida), Amra/Hog plum (Spondius mangifera), Jalphai/Olive (Olea europaea), Bael/Stone apple (Aegle marmelos), Imli/Tamarind (Tamarindus indica), Jamun/Wild Jamun (Sygium cuminii), Thekera/Garcinia spp., Poniol/Govorners plum (Falcourita jangomas), Outenga/Elephant fruit (Delinia indica ) and Amlokhi/ Indian Goose berry (Phyllanthus emblica) etc. Fruits have multipurpose utilisations and consequently assume critical job, particularly, for the prosperity of country individuals by giving sustenance, family pay and business. Huge numbers of these natural fruits have been utilised as customary restorative plants and some have discovered a significant spot in the Indian arrangement of Ayurvedic medicine and Unani since days of yore. Regardless of their latent capacity, these indigenous fruit crops are less known both at scientific and farmers level particularly in our region and some of them like wild jackfruit (Artocarpus hirsutus), Rattan (Calamus rotang) , Naga tenga (Myrica esculenta) etc. which are nearer to extinction

A comparison of hedonic and utilitarian digital products based on consumer evaluation and technology frustration

This study explores how hedonic mobile applications (apps) compare to utilitarian apps in consumer evaluation. We posit that achieving a set of passionate consumers is a pre-cursor to product success in markets, whereas technology frustration is a negative hindrance to the product success. Also, we argue that technology frustration may act as a negative complementing factor to consumer passion, and this effect is higher for hedonic products than utilitarian products. We contextualize our study to the android apps, and used a dataset that tracked 19,121 apps in the android market for three months and coded our variables from this dataset. We conducted empirical analysis and found support for our hypotheses. This study contributes to the information systems and marketing literature in providing a new dimension associated with consumer evaluation of digital products, and draws evaluative comparisons between hedonic and utilitarian digital products

Impulsive fractional dynamic equation with non-local initial condition on time scales

In this manuscript we investigate the existence and uniqueness of an im-pulsive fractional dynamic equation on time scales involving non-local initial condition with help of Caputo nabla derivative. The existency is based on the Scheafer’s fixed point theorem along with the Arzela-Ascoli theorem and Banach contraction theorem. The comparison of the Caputo nabla derivative and Riemann-Liouvile nabla derivative of fractional order are also discussed in the context of time scale

Minimizing Risk with Users Who Embrace it: Innovative Approaches to Online Gambling

In recent years online innovations in Internet content offerings has produced a myriad of highly interactive fantasy sports and gambling sites designed to entice users to wage funds. Although factors such as accessibility and anonymity help motivate people to bet online, many hesitate to wager for reasons that must be examined if online betting websites (OBW) are to continue to innovate and grow. Our research examines how OBW users’ past experiences and perceived reputation influences psychological contract violation (PCV) and perceived institutional effectiveness as they pertain to OBW offerings. We also investigate the effect of institutional effectiveness on users’ concerns and betting behavioral intention. Initial results suggest that OBW users have concerns about transactional information even though they tend to be less risk adverse than non-OBW users. This study also found that psychological contract violation minimizes users’ perception about overall OBW structures’ effectiveness developed to protect online gamblers

Influence of Crop Geometry, Fruit Thinning and Nutrient Management on Yield and Yield -related Attributes of Watermelon (Citrullus lanatus Thumb.)

The present experiment was carried out during 2020-21 and 2021-22 in Jorhat, Assam with the objective to optimize the planting density for maximum yield and yield related attributes. The experiment was laid out in factorial randomized block Design with 3 factors viz. spacing, fruit thinning and INM (Integrated nutrient management) with three replications and the data of individual years were subjected to pooled analysis. The spacing levels were D1 (2.5m x 2m), D2 (1.5m x 1m) and D3 (1mx 1m) where F1 (no thinning), F2 (Thinning up-to 1 fruits /primary vine) and F3 (Thinning up-to2 fruits/primary vine) were the fruit thinning levels. A total of 4 INM treatments were given i.e. N1 (100% RDF), N2 (50% RDF + 50% RDN through FYM), N3 (50% RDF + 50% RDN through vermicompost) and N4 (50% RDF + 25% RDN through vermicompost + 25% RDN through FYM). The treatments significantly influenced the various parameters except a few. The experiment's findings showed that thinning the fruit and increasing the spacing between them had a favorable effect on the watermelon's growth and yield-related characteristics. Additionally, integrated nutrient management and fruit thinning at level F2 enhanced the watermelon's growth, yield, and quality metrics. Among the levels, N3 (50% RDF + 50% RDN through vemicompost was found to be the best