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THE GENERALIZED HYPERSTABILITY OF GENERAL LINEAR EQUATION IN QUASI-2-BANACH SPACE

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Acta Mathematica Scientia 2022年第4期42卷 1357-1372页

作者： Ravinder kumar sharma Sumit CHANDOK School of Mathematics Thapar Institute of Engineering and TechnologyPatiala-147004India

In this paper,we study the hyperstability for the general linear equation f(ax+by)=Af(x)+Bf(y)in the setting of complete quasi-2-Banach *** first extend the main fixed point result of Brzdek and Ciepliński(Acta Mathematica Scientia,2018,38 B(2):377-390)to quasi-2-Banach spaces by defining an equivalent quasi-2-Banach *** we use this result to generalize the main results on the hyperstability for the general linear equation in quasi-2-Banach *** results improve and generalize many results of literature.

关键词： Hyperstability quasi-2-Banach spaces fixed point general linear equation

Biodiverse rotifer assemblage (Rotifera： Eurotatoria) of floodplain lakes of the Brahmaputra basin of lower Assam, northeast India： composition and ecosystem diversity

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Journal of Oceanology and Limnology 2018年第2期36卷 362-375页

作者： bhushan kumar sharma shaikhul islam khan sumita sharma Freshwater Biology Laboratory Department of Zoology North-Eastern Hill University Shillong-793 022 Meghalaya Indi

The study aims to ascertain the hypothesis on the rich rotifer biodiversity of the floodplain lakes （beels） of the Brahmaputra river basin and to use these metazoans to assess trophic status or to characterize habitat variations of wetlands. The plankton samples collected from four beels of lower Assam revealed 160 Rotifera species belonging to 35 genera and 19 families. The richness is of biodiversity value as -38.0% and -57.0% of the rotifer species known till date from India and northeast India （NEI）, respectively. One species each is new to the Oriental region and NEI, and three species are new to Assam; 23 species merit global biogeography interest and several exhibit distribution values in the Indian sub-region. The diverse Lecanidae 〉 Brachionidae 〉 Lepadellidae 〉 Trichocercidae and speciose littoral-periphytic Lecane〉 Lepadella〉Trichocerca, and richness of Brachionus spp. following removal of aquatic macrophytes are noteworthy. Overall rotifer composition showed homogeneity amongst beels while lower monthly richness and community similarities affirmed heterogeneity within individual beels. We propose L/B quotient based on Lecane： Brachionus species ratios to characterize habitat variations of the sampled wetlands. Slfide^ek＇s B/T quotient based on Brachionus： Trichocerca species ratios affirmed general ＇meso-trophic＇ status of different beels. Our results provided little insight on the influence of individual abiotic factors but the canonical correspondence analyses asserted higher cumulative influence of ten abiotic parameters on Rotifera richness in each beel.

关键词： B/T quotient L/B quotient intensive fishing habitat disturbance interesting taxa richness tropical beels

Cubic Auto-Catalysis Reactions in Three-Dimensional Nanofluid Flow Considering Viscous and Joule Dissipations Under Thermal Jump

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Communications in Theoretical Physics 2019年第7期71卷 779-792页

作者： rakesh kumar Ravinder kumar Reena Koundal Sabir Ali Shehzad Mohsen Sheikholeslami Department of Mathematics Central University of Himachal PradeshDharamshalaIndia Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department of Mechanical Engineering Babol Noshirvani University of TechnologyBabolIran

In this problem,simultaneous effects of Joule and viscous dissipation in three-dimensional flow of nanoliquid have been addressed in slip flow regime under time dependent rotational *** nanoparticles are submerged in the base fluid(water)due to their chemical and biological *** increment the novelty,effects of cubic autocatalysis chemical reactions and radiative heat transfer have been incorporated in the related boundary layer *** partial differential system is solved by employing the proposed implicit finite difference *** conditions and stability criteria are obtained to ensure the convergence and accuracy of solutions.A comparative analysis is proposed for no-slip nanofluid flow(NSNF)and slip nanofluid flow(SNF).Variations in skin-friction coefficients,Sherwood and Nusselt numbers against physical parameters are *** is investigated that velocity slip and temperature jump significantly control drag forces and rate of heat transfer.

关键词： cubic autocatalysis reactions viscous dissipation Joule heating rotating-fluctuating environment slip flow regime

FDTD based transition time dependent crosstalk analysis for coupled RLC interconnects

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Journal of Semiconductors 2014年第5期35卷 69-73页

作者： Devendra kumar sharma Brajesh kumar Kaushik R.K.sharma Department of ECE Meerut Institute of Engineering and TechnologyMeerut India Department of Electronics & Computer Engineering Indian Institute of TechnologyRoorkee India Department of ECE National Institute of TechnologyKurukshetra Haryana India

The performance of high density chips operating in the GHz range is mostly affected by on-chip interconnects. The interconnect delay depends on many factors, a few of them are inputs toggling patterns, line ＆ coupling parasitics, input rise/fall time and source/load characteristics. The transition time of the input is of prime importance in high speed circuits. This paper addresses the FDTD based analysis of transition time effects on functional and dynamic crosstalk. The analysis is carried out for equal and unequal transition times of coupled inputs. The analysis of the effects of unequal rise time is equally important because practically, it is quite common to have mismatching in the rise time of the signals transmitting through different length wires. To demonstrate the effects, two distributed RLC lines coupled inductively and capacitively are taken into consideration. The FDTD technique is used because it gives accurate results and carries time domain analysis of coupled lines. The number of lumps in SPICE simulations is considered the same as those of spatial segments. To validate the FDTD computed results, SPICE simulations are run and results are compared. A good agreement of the computed results has been observed with respect to SPICE simulated results. An average error of less than 3.2% is observed in the computation of the performance parameters using the proposed method.

关键词： FDTD transition time crosstalk noise delay coupled interconnects

Sexual dysfunctions and their treatment in liver diseases

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World Journal of Hepatology 2022年第8期14卷 1530-1540页

作者： rakesh kumar Jagdish Department of Hepatology Gastroenterology and Liver Transplant MedicineFortis Hospital NoidaNoida 201301UPIndia

Sexual dysfunction(SD)is a prevalent but very commonly ignored aspect in the treatment of liver diseases and *** etiology of SD is multifactorial and therefore treatment strategies are complex,especially in *** inhibitors are useful and effective in erectile dysfunction in males but in females,no single drug is available for SD,therefore multimodal treatment is required depending upon the *** foremost and fundamental requirement in both genders is to be stress-free and have adequate control of liver *** quality of life is helpful in improving SD and vice versa is also ***,patients suffering from liver diseases should come forward and ask for treatment for SD,and physicians should actively enquire about SD while history taking and evaluating these *** results in deterioration of quality of life,and both are modifiable and treatable aspects of liver diseases,which are never addressed actively,due to social taboos and fears of SD treatment in the presence of liver *** diagnosis of SD does not require costly investigations,as the diagnosis can be established based on validated questionnaires available for both genders,therefore detailed targeted history taking using questionnaires is *** are emerging in this area but is still at an early *** studies should be dedicated to SD in liver diseases.

关键词： Sexual dysfunction Erectile dysfunction Female sexual function index International index of erectile function Phosphodiesterase inhibitors Hepatic venous pressure gradient

Assessment of long-term climate variability and its impact on the decadal growth of horticultural crops in central India

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Ecological Processes 2022年第1期11卷 862-889页

作者： Gaurav sharma Amita sharma Nishant kumar Sinha Om Prakash sharma Ashutosh Singh Ajai kumar Pandey Abhishek kumar Sudhir kumar Trivedi Bharti Sao Mukesh kumar Sahu College of Horticulture and Forestry Rani Lakshmi Bai Central Agricultural UniversityJhansiUttar Pradesh 284003India Department of Environmental Science Rajmata Vijayaraje Scindia Krishi VishwavidyalayaGwaliorMadhya Pradesh 474002India Division of Soil Physics Indian Institute of Soil ScienceBhopalMadhya Pradesh 462038India Department of Floriculture and Landscape Architecture Indira Gandhi Krishi VishwavidyalayaRaipurChhattisgarh 492012India

Background:The impact of climate change on horticultural production is of utmost concern *** such vulnerable region of horticultural importance is the Madhya Pradesh state in the central part of *** is crucial to analyse the long-term trend in climatic variations and its effect on horticultural crop ***,this study focuses on detecting trends in mean annual precipitation and temperature of 115 years for the 15 districts covering all the regions of the state as well as projections of all the Representative Concentration Pathway(RCP)climatic scenarios for 2050 and 2080 of Madhya Pradesh *** decadal(2010–2020)insight into the area and production of horticultural crops is undertaken which will help forecasting the future growth *** a better insight,case study on four horticultural crops is undertaken to assess their decadal growth trend vis-à-vis climate parameters in these 15 ***:The Mann–Kendall test for 1901–2016 and Sen’s slope indicated a non-significant change in long-term trend for precipitation except for increasing change in Khargone and decreasing change in Rewa ***-cant increasing trend of average temperature is obtained for Hoshangabad,Jabalpur,Sagar and Rewa *** Sen’s slope indicated an increase of 0.005 to 0.009℃for maximum temperature and 0.005 to 0.012℃for minimum temperature *** projections of all the RCP climate scenarios for the years 2050 and 2080 indicated non-significant variation in precipitation but an increase in maximum(1.4 to 4.1℃)and minimum(1.45 to 4.65℃)annual *** increasing trend in area and production for horticultural crops is also observed in central India for the study *** is yield increase in all the crops selected in case study except for potato,which recorded a decreased yield between the years 2010–***:The Mann–Kendall test and projections indicate towards climate change with a temperature *** the decad

关键词： Climate change Horticulture Madhya Pradesh Precipitation Temperature Trend analysis

Genetic diversity analysis of Lepidium sativum(Chandrasur) using inter simple sequence repeat(ISSR) markers

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Journal of Forestry Research 2015年第1期26卷 107-114页

作者： Amandeep Kaur rakesh kumar Suman Rani Anita Grewal Department of Biotechnology University Institute of Engineering & Technology Kurukshetra University

Lepidium sativum（commonly known as garden cress） belongs to the family Brassicaceae. It is a fastgrowing erect, annual herbaceous plant. Its seeds possess significant fracture healing, anti-asthmatic, anti-diabetic,hypoglycemic, nephrocurative and nephroprotective activities. In the present study, we assessed the genetic diversity of various genotypes of L. sativum using inter-simple sequence repeat（ISSR） markers. Out of 41 ISSR primers screened, 32 primers showed significant, clear and reproducible bands. A total of 510 amplified bands were obtained using 32 ISSR primers, out of which 422 bands were polymorphic and 88 bands were monomorphic. The percentage of polymorphism was found to be 82. A total of 35 unique alleles ranging insize from 200 to 2,900 bp were *** analysis based on unweighted pair-group method,arithmetic mean divided the 18 genotypes into two main clusters, with the first having only HCS-08 genotype of *** and other having all of the other 17 genotypes. The Jaccard similarity coefficient revealed a broad range32–72 % genetic relatedness among the 18 genotypes.

关键词： ISSR Genetic diversity Polymorphism Lepidium sativum Cluster analysis

Depillaring of total thickness of a thick coal seam in single lift using cable bolts：A case study

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International Journal of Mining Science and Technology 2016年第2期26卷 223-233页

作者： kumar rakesh Mishra Arvind kumar Singh Arun kumar Singh Amit kumar Ram Sahendr Singh Rajendr Central Institute of Mining and Fuel Research (under CSIR) Dhanbad 826015 India Indian School of Mines Dhanbad 826004 India

Explaining fundamentals of application of cable bolting for a thick seam depillaring,this paper summarizes the results of field studies conducted during adoption of this approach in more than fifteen panels of Madhusudanpur 7 pit and incline *** 7.0 m thick Kajora top coal seam of this mine is developed on pillars along the floor horizon to an average height of 3.0 m,leaving a coal band of around 4.0 m along the *** of procured core samples showed that roof strata are easily caveable with a caveability index value of around 2000 *** caveable overlying strata and shallow depth of cover alleviated most of the expected strata mechanics problems of the thick seam ***,extraction of total thickness at shallow cover caused differential-subsidence and cracks on the *** manifestations were immediately tackled to avoid creation of a breathing path for spontaneous heating in the extracted area.

关键词： Cable bolting Thick seam depillaring Extraction height Pillar stability Caveability index

Assessing the effects of different dielectrics onenvironmentally conscious powder-mixed EDM of difficult-to-machine material （WC-Co）

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Frontiers of Mechanical Engineering 2016年第4期11卷 374-387页

作者： Jagdeep SINGH Rajiv kumar sharma Department of Mechanical Engineering National Institute of Technol-ogy Hamirpur Himachal Pradesh-177005 India

Electrical discharge machining (EDM) is a well-known nontraditional manufacturing process to machine the difficult-to-machine (DTM) materials which have unique hardness properties. Researchers have successfully performed hybridization to improve this process by incorporating powders into the EDM process known as powder-mixed EDM process. This process drastically improves process efficiency by increasing material removal rate, micro-hardness, as well as reducing the tool wear rate and surface roughness. EDM also has some input parameters, including pulse-on time, dielectric levels and its type, current setting, flushing pressure, and so on, which have a significant effect on EDM performance. However, despite their positive influence, investigating the effects of these parameters on environmental conditions is necessary. Most studies demonstrate the use of kerosene oil as dielectric fluid. Nevertheless, in this work, the authors highlight the findings with respect to three different dielectric fluids, including kerosene oil, EDM oil, and distilled water using one-variable-at-a-time approach for machining as well as environmental aspects. The hazard and operability analysis is employed to identify the inherent safety factors associated with powder-mixed EDM of WC-Co.

关键词： WC hazard and operability analysis (HAZOP) discharging aerosol concentration dielectrics powders