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UNIQUE RANGE SETS WITHOUT FUJIMOTO'S HYPOTHESIS
Chakraborty, Bikash Korean Mathematical Society 2022 대한수학회보 Vol.59 No.5
This paper studies the uniqueness of two non-constant meromorphic functions when they share a finite set. Moreover, we will give an existence of unique range sets for meromorphic functions that are the zero sets of some polynomials that do not necessarily satisfy the Fujimoto's hypothesis ([6]).
Spirituality bestowing self-transcendence amid COVID-19 through slow fashion
Chakraborty Swagata,Sadachar Amrut 한국마케팅과학회 2023 Journal of Global Fashion Marketing Vol.14 No.3
We proposed and tested a conceptual model exploring how (i) COVID-stress evokes spirituality; (ii) COVID-stress and spirituality engender positive attitude toward the different dimensions of slow fashion (i.e. equity, authenticity, functionality, localism, and exclusivity) as a symbol of self-transcendence and (iii) spirituality mediates the relationships between COVID-stress and the different dimensions of slow fashion. We conducted an online survey in Amazon Mechanical Turk (n = 317) and analyzed the data through structural equation modeling. (i) COVID-stress positively influences spirituality; (ii) both COVID-stress and spirituality positively influ- ence attitude toward slow fashion in terms of equity, authenticity, localism, and exclusivity; (iii) spirituality mediates the relationships between COVID-stress and all the dimensions of slow fashion except for functionality. Due to the fast-changing situations amid the pandemic and the uneven severity of the pandemic globally, a cross-sectional study may have limited the scope for capturing nuances of retail consumer behavior. In summary, we suggest that the consumption of slow fashion apparel as a symbol of self- transcendence may help consumers cope with COVID-stress in the hope of building spiritual ties with a higher power through the process of ethical consumption amid the pandemic.
Wind load on irregular plan shaped tall building - a case study
Chakraborty, Souvik,Dalui, Sujit Kumar,Ahuja, Ashok Kumar Techno-Press 2014 Wind and Structures, An International Journal (WAS Vol.19 No.1
This paper presents the results of wind tunnel studies and numerical studies on a '+' plan shaped tall building. The experiment was carried out in an open circuit wind tunnel on a 1:300 scale rigid model. The mean wind pressure coefficients on all the surfaces were studied for wind incidence angle of $0^{\circ}$ and $45^{\circ}$. Certain faces were subjected to peculiar pressure distribution due to irregular formation of eddies caused by the separation of wind flow. Moreover, commercial CFD packages of ANSYS were used to demonstrate the flow pattern around the model and pressure distribution on various faces. k-${\varepsilon}$ and SST viscosity models were used for numerical study to simulate the wind flow. Although there are some differences on certain wall faces, the numerical result is having a good agreement with the experimental results for both wind incidence angle.
Edwards polaron formation : From one to three dimensions
Chakraborty, M.,Mohanta, N.,Taraphder, A.,Min, B. I.,Fehske, H. American Physical Society 2016 Physical Review B Vol.93 No.15
<P>Employing a self-consistent (optimized) variational diagonalization scheme, we investigate the formation of polaronic quasiparticles in a spinless fermion-boson transport model that couples the movement of charge carriers to fluctuations and correlations of a background medium. The background is parameterized by bosonic degrees of freedom. The variational fermion-boson Hilbert space is constructed to achieve high accuracy in one to three spatial dimensions with modest computational requirements. To characterize the ground-state properties of the Edwards model in the single-particle sector, we present exact numerical results for the polaron band dispersion, quasiparticle weight, Drude weight, mass enhancement, and the particle-boson correlations in a wide parameter regime. In the Edwards model, transport will be quasifree, diffusive or boson-assisted in the weakly fermion-boson coupled, fluctuation-dominated or strongly correlated regimes, respectively. Thereby correlated transport is not only assisted but also limited by the bosonic excitations. As a result, the Drude weight remains finite even in the limit of very small boson frequencies. For a strongly correlated background, closed loops are important, in any dimension, to generate a finite effective particle mass even when the free fermion has an infinite mass.</P>
Some pharmacological findings of non therapeutic importance of an Ayurvedic preparation Chandanasav
Chakraborty, Sharmila,Rajia, Sultana,Choudhuri, M. Shahabuddin Kabir,Hossain, M. Faruk,Sattar, Mafruhi,Shrestha, Tripti Kyung Hee Oriental Medicine Research Center 2006 Oriental pharmacy and experimental medicine Vol.6 No.2
Chandanasav is an Ayurvedic preparation slightly reduced the gastrointestinal motility at the 15 min time interval. It increased the latent period of castor oil induced diarrhoea, slightly decreased number of stool count and lowered the purging index values. Chandanasav significantly reduced the onset and increased the duration of pentobarbital induced sleeping time. No significant analgesic effect was observed from the hot plate study Thus it may have mild constipating and central nervous system depressant activity without any effect on peripheral nervous system.
ON RELATIVE CLASS NUMBER AND CONTINUED FRACTIONS
CHAKRABORTY, DEBOPAM,SAIKIA, ANUPAM Korean Mathematical Society 2015 대한수학회보 Vol.52 No.5
The relative class number $H_d(f)$ of a real quadratic field $K=\mathbb{Q}(\sqrt{m})$ of discriminant d is the ratio of class numbers of $O_f$ and $O_K$, where $O_K$ denotes the ring of integers of K and $O_f$ is the order of conductor f given by $\mathbb{Z}+fO_K$. In a recent paper of A. Furness and E. A. Parker the relative class number of $\mathbb{Q}(\sqrt{m})$ has been investigated using continued fraction in the special case when $(\sqrt{m})$ has a diagonal form. Here, we extend their result and show that there exists a conductor f of relative class number 1 when the continued fraction of $(\sqrt{m})$ is non-diagonal of period 4 or 5. We also show that there exist infinitely many real quadratic fields with any power of 2 as relative class number if there are infinitely many Mersenne primes.
Analysis of regeneration protocols for micropropagation of Pterocarpus santalinus
Chakraborty Tanushree,Chaitanya K. Viswanatha,Akhtar Nasim 한국식물생명공학회 2022 Plant biotechnology reports Vol.16 No.1
A micropropagation is a powerful tool in the era of the biotechnology revolution. It has a broad range of potentiality as compared to conventional vegetative propagation attracting researchers, industrialists, governmental and nongovernmental organizations at the national and international level. The potential methods of organogenesis and somatic embryogenesis, primarily through callogenesis, allow the production of genotypically identical and pharmacologically conserved disease- free healthy stocks in shorter times. Pterocarpus santalinus, the pride of Andhra Pradesh, has become endangered due to medicinal and commercial overexploitation. The micropropagation of P. santalinus poses many cultural challenges due to limited regeneration potential through callogenesis, organogenesis, and somatic embryogenesis. The lack of proper explant treatment and the effect of plant growth regulators limit the application of published protocols to reproduce the results. The challenge, such as heavy contamination of mature explants with endophytic fungi, forced us to explore the potential of immature tissues for regeneration through induction of somatic embryogenesis. We observed that immature tissues (zygotic embryo, petal, ovary, and anther) are better responsive than mature tissues with the scantiest contamination and phenolic release. The present study analyzed, evaluated, and interpreted the different parameters applied in the micropropagation of P. santalinus. The aim is to solve the discrepancies of existing protocols to present complete insight for future needs in the successful regeneration of the species. The review also compared various treatments to overcome dormancy and promote germination. It also discussed the possibilities of induction of somatic embryogenesis for future research.