On the singular problem involving gg-Laplacian

In this paper, we show that the existence of a positive weak solution to the equation (-\Delta_g)^s u=f u^{-q(x)}\;\mbox{in}\; \Omega, where $\Omega$ is a smooth bounded domain in $R^N$, $q\in C^1(\overline{\Omega})$, and $(-\Delta_g)^s$ is the fractional $g$-Laplacian with $g$ is the antiderivative of a Young function and $f$ in suitable Orlicz space subjected to zero Dirichlet condition. This includes the mixed fractional $(p,q)-$Laplacian as a special case. The solution so obtained is also shown to be locally H\"older continuous.Comment: 15p

Media Literacy and Women Empowerment: An Evidence from India

In the present times the role of media and its impact on holistic development of the society is a topic of scholastic and as well as political discussions across the globe. The power of media to empower the underprivileged, especially the women is a topic that attracts lot of public discourse. Previous studies have proved that for any society to develop and prosper, its women are to be developed first and development is the outcome of empowerment. The ability to develop self-control, independence, and confidence in the face of a patriarchal culture is women empowerment and studies claim that having access to information is one of the major factors of empowerment. And the ability to access, understand, evaluate, and disseminate messages in a variety of forms is referred to as media literacy. This study is aimed at understanding the relationship between media literacy and women empowerment in the context of India. The study highlights the scope and challenges of Indian media and its treatment towards women related issues in India. Further, an attempt has been made to identify the disconnect between the various facets of Indian society which has widened due to the media's distorting of reality with special reference to women

Task irrelevant external cues can influence language selection in voluntary object naming: evidence from Hindi-English bilinguals

We examined if external cues such as other agents’ actions can influence the choice of language during voluntary and cued object naming in bilinguals in three experiments. Hindi– English bilinguals first saw a cartoon waving at a color patch. They were then asked to either name a picture in the language of their choice (voluntary block) or to name in the instructed language (cued block). The colors waved at by the cartoon were also the colors used as language cues (Hindi or English). We compared the influence of the cartoon’s choice of color on naming when speakers had to indicate their choice explicitly before naming (Experiment 1) as opposed to when they named directly on seeing the pictures (Experiment 2 and 3). Results showed that participants chose the language indicated by the cartoon greater number of times (Experiment 1 and 3). Speakers also switched significantly to the language primed by the cartoon greater number of times (Experiment 1 and 2). These results suggest that choices leading to voluntary action, as in the case of object naming can be influenced significantly by external non-linguistic cues. Importantly, these symbolic influences can work even when other agents are merely indicating their choices and are not interlocutors in bilingual communicatio

Spin effects in Spherical Harmonic Modes of Gravitational Waves from Eccentric Compact Binary Inspirals

We compute the leading and sub-leading spin effects through the second post-Newtonian order (2PN) in spherical harmonic modes of gravitational waveforms from inspiralling compact binaries in non-circular orbits with non-precessing components. The two spin couplings, linear-in-spin (spin-orbit; SO) and quadratic-in-spin (spin-spin; SS), that appear in 2PN waveforms are computed with desired accuracy and explicit expressions for relevant modes are derived. The modes that have spin corrections through 2PN include $(\ell, |m|)$=$((2,2),\,(2,1),\,(3,3),\,(3,2),\,(3,1),\,(4,3),\,(4,1))$ modes. Closed form expressions for these modes for compact binaries in general orbits as well as in elliptical orbits are being provided. While the general orbit results can be used to study signals from binaries in orbits of arbitrary shape and nature, elliptical orbit results are applicable to systems with arbitrary eccentricities. We also express the elliptical orbit results as leading eccentric corrections to the circular results. Our prescription represents, the first, fully analytical treatment that combines spins, eccentricity and higher modes together and completes computation of spin effects through 2PN order. These should find immediate applications in inspiral-merger-ringdown modelling for eccentric mergers including the effect of non-precessing spins and higher modes as well as in parameter estimation analyses employing inspiral waveform

Scheduling of automated guided vehicles in a FMS Environment using particle swarm optimization

Efficiency in management of the material handling system plays an important role in planning and operation of a flexible manufacturing system. Many researchers have addressed material handling and vehicle scheduling as two different problems. The following work focuses on cheduling of both machines and automated guided vehicles (AGVs) in a flexible manufacturing system (FMS). We have made an attempt to consider the scheduling of machines and vehicles in an integrated manner. Particle swarm optimization (PSO) is one of the efficient algorithms that aims to converge and give optimal solution in shorter time. Therefore we have considered PSO for such scheduling

LOFAR search for radio emission from galaxies hosting tidal disruption events

Radio emission from 23 tidal disruption event host galaxies were searched in the 144 MHz LOFAR-LoTSS2 images. Three host galaxies are detected with diffuse radio emission, which can be interpreted as either galactic synchrotron radio emission or diffuse radio halo in dense galactic environments. Non-detection of (transient) radio emission in majority of galaxies could be due to self-absorption of radio emission associated with the tidal disruption event. The detected objects are AT2018iih, RBS 1032, and NGC 5905. Non-detection for Sw 1644+57 is also reported.Comment: 3 pages, 3 figures, In Research Notes AAS (RNAAS