http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
SOME STRONG CONVERGENCE RESULTS OF RANDOM ITERATIVE ALGORITHMS WITH ERRORS IN BANACH SPACES
Chugh, Renu,Kumar, Vivek,Narwal, Satish Korean Mathematical Society 2016 대한수학회논문집 Vol.31 No.1
In this paper, we study the strong convergence and stability of a new two step random iterative scheme with errors for accretive Lipschitzian mapping in real Banach spaces. The new iterative scheme is more acceptable because of much better convergence rate and less restrictions on parameters as compared to random Ishikawa iterative scheme with errors. We support our analytic proofs by providing numerical examples. Applications of random iterative schemes with errors to variational inequality are also given. Our results improve and establish random generalization of results obtained by Chang [4], Zhang [31] and many others.
CHUGH, S.,GUHA, R.K.,DHAR, JOYDIP The Korean Society for Computational and Applied M 2022 Journal of applied and pure mathematics Vol.4 No.1/2
An innovation diffusion model is proposed model consists of three classes, namely, a non-adopter class, adopter class innovation-I, and adopter class innovation-II in a partially competitive and cooperative market. The proposed model is analyzed with the help of the qualitative theory of a system of ordinary differential equations. Basic influence numbers associated with first and second innovation $R_{0_1}$ and $R_{0_2}$ respectively in the absence of each other are quantified. Then the overall basic influence number (R<sub>0</sub>) of the system is assessed for analyzing stability in the market in different situations. Sensitivity analysis of basic influence numbers associated with first and second innovation in the absence of each other is carried out. Numerical simulation supports our analytical findings.
S. Chugh,R.K. Guha,Joydip Dhar 한국전산응용수학회 2022 Journal of Applied and Pure Mathematics Vol.4 No.1
An innovation diffusion model is proposed model consists of three classes, namely, a non-adopter class, adopter class innovation-I, and adopter class innovation-II in a partially competitive and cooperative market. The proposed model is analyzed with the help of the qualitative theory of a system of ordinary differential equations. Basic influence numbers associated with first and second innovation {R}_{0_1} and {R}_{0_2} respectively in the absence of each other are quantified. Then the overall basic influence number ({R}_{0}) of the system is assessed for analyzing stability in the market in different situations. Sensitivity analysis of basic influence numbers associated with first and second innovation in the absence of each other is carried out. Numerical simulation supports our analytical findings.
A Study on Parallel Clustering Algorithms based on MapReduce
Garvit Chugh,Nitesh Singh Bhati,Puneet Kumar,Vishal Bharti 대한전자공학회 2022 IEIE Transactions on Smart Processing & Computing Vol.11 No.4
Since the advent of the global computerized market, the volume of digital information has grown exponentially, as has the demand for storing it. As the price of storage devices decreases, the necessity to analyze vast quantities of unstructured digital data to retain only essential information increases. MapReduce is a programming paradigm for producing and generating massive information indices. Using MapReduce to produce meaningful clusters from such a massive amount of raw data is an efficient way to manage such voluminous amounts of data. On the other hand, the existing industry standard for data clustering algorithms presents significant obstacles. The conventional clustering calculation efficiently handles a great deal of information from various sources, such as online media, business, and the web. Nevertheless, the sequential count in clustering approaches is time-intensive in these conventional calculations. The wide varieties of K-Means, including K-Harmonic Means, are sensitive to forming cluster centers in huge datasets. This work suggests a logical evaluation of such calculations. It offers a study of the various k-means clustering algorithms employed in MapReduce, as well as the study on the introduction and the open challenges of parallelism in MapReduce.
Integration of botanicals in contemporary medicine: road blocks, checkpoints and go-ahead signals
Neha Arora Chugh,Shreya Bali,Ashwani Koul 한국한의학연구원 2018 Integrative Medicine Research Vol.7 No.2
The use of botanicals for maintaining good health and preventing diseases is undisputed. The claimed health benefits of natural health products and herbal medicines are based on traditional claims, positive results obtained in preclinical studies and early phase clinical trials that are not backed by safety and efficacy evidences approved by regulatory agencies. Although, the popularity of botanicals is growing, health care practitioners of modern medicine seldom recommend their use because of ill equipped database of their safety and potency. This review discusses problems that preclude botanicals from integrating into the mainstream contemporary therapeutics and cues that provide impetus for their realisation.
Role of continuous hypertonic saline in acute ischemic infarcts: a systematic literature review
Arunit J. S. Chugh,Marquis Maynard,Kerrin Sunshine,Berje H. Shammassian,Adam Sauer,Kolade Odetoyinbo,S. Alan Hoffer 대한신경집중치료학회 2021 대한신경집중치료학회지 Vol.14 No.1
Continuous hypertonic saline for hemispheric ischemic infarcts has been routinely used in neurocritical centers for the management of malignant cerebral edema. However, the data supporting its use are extremely limited. We present a systematic literature review that highlights five studies (one randomized control trial and four retrospective cohort) where the effects of continuous hypertonic saline were studied in patients with acute ischemic infarcts. Collectively, there is a lack of substantial evidence supporting its use. Also, this review emphasizes significant study flaws that make the conclusions largely nongeneralizable. Although the reported studies demonstrate improvement in control of intracranial pressure, there are no significant differences in neurological or functional outcomes or overall mortality.
Purwar Shalini,Chugh Vishal,Singh Poornima,Srivastava Akhilesh Kumar,Singh Akhilesh Kumar,Mishra Akhilesh Chandra,Singh Ashutosh,Singh Chandra Mohan 한국식물생명공학회 2024 Plant biotechnology reports Vol.18 No.1
Subtilisin-like serine proteases (SBT), a serine proteolytic enzymes play an important role in plant growth function and during different stresses responses. The systematic analysis of the SBT gene family in Musa acuminate (MaSBT) has been done and their responses to abiotic stresses in banana variety cv. G-9 were also analyzed. Total of 67 MaSBT genes were identified and based on phylogeny these were grouped into five districted subgroups. Cis-acting element analysis indicated that almost all MaSBT promoters contain regulatory elementary related to growth and development, hormonal regulation, and stress responses. The gene structure and domain analysis showed a maximum of seventeen exons and four functional domains in MaSBT. The 42 orthologous genes, 07 MaSBT paralogous genes were also identified through synteny analysis. The Ka /Ks study indicated that four MaSBT paralogous gene pairs were tandemly duplicated, while the other three were segmental duplications. Further, the expression pattern via RNA-seq data revealed that MaSBTs exhibited differential expres- sion specifically in response to the abiotic stress of low nitrogen. and also during the flowering time. The MaSBT-1.7 gene was found involved in the response to salt stress and flowering. These findings establish a cornerstone for future research on banana's salt stress mechanism. The study offers valuable insights into SBT encoding genes, shedding light on their roles in growth, development, and abiotic stress responses
STABILITY OF GENERALIZED CUBE ROOT FUNCTIONAL (GCRF) EQUATIONS IN RANDOM NORMED SPACES
EENA GUPTA,Renu Chugh,RAMU DUBEY,VISHNU NARAYAN MISHRA 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.1
In this paper, we introduce and investigate the stability of generalized cube root Functional (GCRF) Equation having solution as in the setting of random normed spaces using direct and fixed point approach. After that, we study the stability of GCRF equation in intutionistic random normed space (IR-NS) and non-archimedean random normed space (NA-RNS).
A NOTE ON SOLUTIONS FOR AN ITERATIVE FUNCTIONAL EQUATION IN 2-BANACH SPACES
JYOTSANA JAKHAR,Renu Chugh,RAMU DUBEY,Lakshmi Narayan Mishra 장전수학회 2021 Advanced Studies in Contemporary Mathematics Vol.31 No.1
In this work, we explain an iterative equation for convex solutions in 2-Banach spaces. Our aim is to discuss the existence of monotone solutions in the real 2-Banach spaces and obtain the forward condition under which the solutions are convex or con- cave in order. Using the expansion method, we establish a general construction of the convex solutions for the iterative functional equation.