http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
AN EFFICIENT AND STABLE ALGORITHM FOR NUMERICAL EVALUATION OF HANKEL TRANSFORMS
Om P. Singh,V. K. Singh,R. K. Pandey 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.5
Recently, a number of algorithms have been proposed for nu-merical evaluation of Hankel transforms as these transforms arise natu-rally in many areas of science and technology. All these algorithms depend on separating the integrand rf(r)Ju(pr) into two components; the slowly varying component rf(r) and the rapidly oscillating component Ju(pr). Then the slowly varying component rf(r) is expanded either into a Fourier Bessel series or various wavelet series using di®erent orthonormal bases like Haar wavelets, rationalized Haar wavelets, linear Legendre multiwavelets,Legendre wavelets and truncating the series at an optimal level; or approxi-mating rf(r) by a quadratic over the subinterval using the Filon quadrature philosophy. The purpose of this communication is to take a different approach and replace rapidly oscillating component Ju(pr) in the integrand by its Bernstein series approximation, thus avoiding the complexity of evaluating integrals involving Bessel functions. This leads to a very simple effcient and stable algorithm for numerical evaluation of Hankel transform.
F-contraction in Partially Ordered b-metric like Spaces
Om Prakash Chauhan,Vishal Joshi,Saurabh Singh 한국수학교육학회 2024 純粹 및 應用數學 Vol.31 No.1
In this article, we utilize the concepts of hybrid rational Geraghty type generalized F-contraction and to prove some fixed point results for such mappings are in the perspective of partially ordered b-metric like space. Some innovative examples are also presented which substantiate the validity of obtained results. The example is also authenticated with the help of graphical representations.
( Om Prakash ),( Seongwon Im ),( Alsayed Mostafa ),( Chungman Moon ),( Dong Hoon Kim ) 한국폐기물자원순환학회(구 한국폐기물학회) 2021 한국폐기물자원순환학회 춘계학술발표논문집 Vol.2021 No.-
The treatment of sulfate rich wastewater leads to the failure of anaerobic digestion process due to high sulfide generation. Sulfide toxicity for the anaerobic digestion process is one the major concern that needs to overcome in order to recover the methanogenic potential of the sulfate-rich wastewater. In the present study, we tried to enhance the sulfide tolerance by promoting direct interspecies electron transfer (DIET) via electrical energy input (EEI). Two different operational conditions have been set to study the effect of sulfide on methanogenic process using up-flow anaerobic sludge blanket (UASB) reactor, comprising one control and one EEI reactor with an applied voltage of 0.6 V. The operation was continued for 194 days under different COD/SO<sub>4</sub> <sup>2-</sup> ratios. The EEI reactor exhibited maximum performance of 2.3 L CH<sub>4</sub>/L/d at the COD/SO<sub>4</sub> <sup>2-</sup> of 5 which is 15 % higher than the control. The free sulfide concentration were 251 and 283 mg S<sup>2-</sup>/L in control and EEI reactors, exceeding the inhibition threshold (50-200 mg S<sup>2-</sup>/L). Only EEI reactor could keep its advanced performance, by acquiring 12 and 15% higher sulfate removal and CH<sub>4</sub> productivity respectively than control reactor. Form this study, it can be claimed that DIET stimulation has potential for enriching efficient sulfate-metabolizing microbes. Furthermore, microbiological studies can enhance the depth of the mechanism and unearthed the reason behind the sulfide tolerance system supported by DIET promoting reactor.
Om, Kyong-Sik,Chung, Jae-Ho The Korean Institute of Electrical Engineers 1996 Journal of Electrical Engineering and Information Vol.1 No.2
The goal of this research is to provide a practical algorithm for outlining the left ventricular cavity in digital subtraction angiography. The proposed algorithm is based on the elliptic approximation and ML (Maximum Likelihood) estimate, and it produces a good results regarding execution time, robustness against noise, accuracy, and range of position of ROI (Regions Of Interest).
Om Prakash Chauhan,Deepak Singh,Vishal Joshi,Garima Singh,Rajendra Kumar Sharma 경남대학교 기초과학연구소 2018 Nonlinear Functional Analysis and Applications Vol.23 No.4
In this article, we define the notion of a non-negative function satisfying property of oneness. Utilizing this concept, certain unified fixed point results are established. Furthermore generalized φ-contractions mapping and some fixed point results in the framework of symmetric space are also presented. Some well-known results from the existence literature are obtained through our introduced setting. Results are substantiated by some innovative examples with the aid of visualization of surfaces. Moreover applications of obtained theory for the existence for the system of integral equations as well as for the system of functional equations occurred in dynamic programming are also presented.
Key management for blockchain technology
Om Pal,Bashir Alam,Vinay Thakur,Surendra Singh 한국통신학회 2021 ICT Express Vol.7 No.1
Public Key Infrastructure (PKI) is used in Blockchain Technology to authenticate the entities and to ensure the integrity of the blockchain. Proper Protection of Bitcoin wallet is required for private keys, seeds and keys stored in external hardware in Blockchain infrastructure. In this paper, overview of Blockchain, analysis of existing PKI for Blockchain and key management for Blockchain wallet are discussed. To achieve the confidentiality of sensitive records over the Blockchain network, a Group Key Management scheme for secure group communication is also proposed.
SYMMETRIC TOEPLITZ DETERMINANTS ASSOCIATED WITH A LINEAR COMBINATION OF SOME GEOMETRIC EXPRESSIONS
( Om P. Ahuja ),( KANIKA KHATTER ),( V. Ravichandran ) 호남수학회 2021 호남수학학술지 Vol.43 No.3
Let f be the function defined on the open unit disk, with f(0) = 0 = f′(0) - 1, satisfying Re (αf′(z) + (1 - α)zf′(z)/f(z)) > 0 or Re (αf′(z) + (1 - α)(1 + zf′′(z)/f′(z)) > 0 respectively, where 0 ≤ α ≤ 1. Estimates for the Toeplitz determinants have been obtained when the elements are the coefficients of the functions belonging to these two subclasses.