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Implicative Ideals and Fuzzy Implicative Ideals of a Distributive Implication Groupoid

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Journal of Mathematical Research with Applications 2014年第6期34卷 631-639页

作者： Ravi Kumar BANDARU K.P.shum Department of Engineering Mathematics GITAM University Hyderabad Campus Institute of Mathematics Yunnan University

We introduce the notions of implicative ideals and fuzzy implicative ideals of a distributive implication groupoid. Some properties of these ideals will be investigated. In particular, the necessary and sufficient conditions for an ideal(fuzzy ideal) to be an implicative ideal(fuzzy implicative ideal) is given. By using the concept of level sets, we will characterize the fuzzy implicative ideals of a distributive implication groupoid. Finally, an extension property for fuzzy implicative ideals is given.

关键词： implication groupoids distributive implication groupoids fuzzy ideals implicative ideals fuzzy implicative ideals

Single-Valued Neutrosophic Lie algebras

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Journal of Mathematical Research with Applications 2019年第2期39卷 141-152页

作者： Muhammad AKRAM Hina GULZAR Kar Ping shum Department of Mathematics University of the Punjab New Campus Institute of Mathematics Yunnan University

A single-valued neutrosophic(SVN) set is a powerful general formal framework that generalizes the concept of fuzzy set and intuitionistic fuzzy set. In SVN set, indeterminacy is quantified explicitly, and truth membership, indeterminacy membership, and falsity membership are independent. In this paper, we apply the notion of SVN sets to Lie algebras. We develop the concepts of SVN Lie subalgebras and SVN Lie ideals. We describe some interesting results of SVN Lie ideals.

关键词： Single-valued neutrosophic sets Lie ideals Lie algebras

Medical therapy for clinical benign prostatic hyperplasia:α1 Antagonists,5α reductase inhibitors and their combination

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Asian Journal of Urology 2017年第3期4卷 185-190页

作者： Cheuk Fan shum Weida Lau Chang Peng Colin Teo Department of Urology Khoo Teck Puat HospitalSingapore

Medical therapy for clinical benign prostatic hyperplasia(BPH)has advanced significantly in the last 2 *** new a1 antagonists and 5a reductase inhibitors(5ARi)are now commercially *** practicing urologist must decide on the most appropriate medication for his patients,taking into consideration various factors like efficacy,dosing regime,adverse effects,cost,patient’s socioeconomic background,expectations,drug availability and his own clinical *** use of combination therapy added further to the complexity in clinical judgment when *** highlight some of the key points in prescribing a1 antagonists,5ARi and their combination,based on our viewpoints and experience as urologists in an Asian clinical setting.

关键词： 5αReductase inhibitors Adrenergicα1 receptor antagonists Drug therapy Combination Prostatic hyperplasia

Sea level change under IPCC-A2 scenario in Bohai, Yellow, and East China Seas

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Water Science and Engineering 2014年第4期7卷 446-456页

作者： Chang-lin CHEN Jun-cheng ZUO Mei-xiang CHEN Zhi-gang GAO C.-K.shum State Key Laboratory of Satellite Ocean Environment Dynamics Second Institute of OceanographyState Oceanic Administration College of Harbor Coastal and Offshore EngineeringHohai University National Marine Date and Information Service State Oceanic Administration School of Earth Sciences Ohio State University

Because of the environmental and socioeconomic impacts of anthropogenic sea level rise （SLR）, it is very important to understand the processes leading to past and present SLRs towards more reliable future SLR projections. A regional ocean general circulation model （ROGCM）, with a grid refinement in the Bohai, Yellow, and East China Seas （BYECSs）, was set up to project SLR induced by the ocean dynamic change in the 21st century. The model does not consider the contributions from ice sheets and glacier melting. Data of all forcing terms required in the model came from the simulation of the Community Climate System Model version 3.0 （CCSM3） under the International Panel on Climate Change （IPCC）-A2 scenario. Simulation results show that at the end of the 21st century, the sea level in the BYECSs will rise about 0.12 to 0.20 m. The SLR in the BYECSs during the 21st century is mainly caused by the ocean mass redistribution due to the ocean dynamic change of the Pacific Ocean, which means that water in the Pacific Ocean tends to move to the continental shelves of the BYECSs, although the local steric sea level change is another factor.

关键词： sea level rise steric sea level change IPCC-A2 scenario mass redistribution Bohai, Yellow, and East China Seas

Antarctic-wide annual ice flow maps from Landsat 8 imagery between 2013 and 2019

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International Journal of Digital Earth 2021年第5期14卷 597-618页

作者： Qiang Shen Hansheng Wang C.K.shum Liming Jiang Houtse Hsu Fan Gao Yingli Zhao State Key Laboratory of Geodesy and Earth’s Dynamics Innovation Academy for Precision Measurement Science and TechnologyChinese Academy of SciencesWuhanPeople’s Republic of China Division of Geodetic Science School of Earth SciencesThe Ohio State UniversityColumbusOhioUSA College of Earth and Planetary Sciences University of Chinese Academy of SciencesBeijingPeople’s Republic of China

Ice velocity constitutes a key parameter for quantifying ice-sheet discharge rates and is thus crucial for improving the coupled models of the Antarctic ice sheet towards accurately predict its contribution to future global sea-level ***,in Antarctica,high-resolution and continuous ice velocity estimates remain elusive,which is key to unravel Antarctica’s present-day ice mass balance ***,we present a suite of newly estimated Antarctic-wide,annually-sampled ice velocity products at 105-m grid-spacing observed by Landsat 8 optical images *** first describe a procedure that can automatically calibrate and integrate ice displacement maps to generate Antarcticwide seamless ice velocity *** annual ice velocity mosaics are assembled using a total of 250,000 displacement maps inferred from more than 80,000 Landsat 8 images acquired between December 2013 and April *** new annual Antarctic ice velocity data product exhibits an improved quantification of near-decadal Antarctic-wide ice flow,and an opportunity to investigate ice dynamics at a higher spatial resolution and annual sampling,as compared to existing data *** studies confirmed improved accuracy and consistency of this new data product,when compared with independently estimated optical and radar ice velocity data products,as well as in situ data.

关键词： Antarctica ice velocity Landsat 8

Real-time dynamics of soliton triplets in fiber lasers

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Photonics Research 2020年第6期8卷 884-891页

作者： YIYANG LUO RAN XIA PERRY PING shum WENJUN NI YUSONG LIU HUY QUOC LAM QIZHEN SUN XIAHUI TANG LUMING ZHAO CINTRA CNRS/NTU/THalES UMI 3288Research Techno Plaza50 Nanyang DriveSingapore 637553Singapore School of Electrical and Electronic Engineering Nanyang Technological UniversitSingapore 639798Singapore School of Optical and Electronic Information&Wuhan National Laboratory for Optoelectronics Huazhong University of Science and TechnologyWuhan 430074China Temasek Laboratories@NTU Research Techno Plaza50 Nanyang DriveSingapore 637553Singapore

The evolution of soliton molecules emphasizes the complex soliton dynamics akin to matter *** the simplest soliton molecule-a soliton pair constituted by two bound pulses-soliton molecules with more constituents have more degrees of freedom because of the temporal pulse separations and relative *** we detailedly characterize the transient dynamics of soliton triplets in fiber lasers by using the dispersive Fourier transform measurement.A particular form of leading,central,and tailing pulses is constructed to shed new light on more intriguing scenarios and fuel the molecular *** the vibrating dynamics of the central and tailing pulses are captured near the regime of equally spaced soliton triplets,which is reminiscent of the recurrent timing jitters within multi-pulse *** insights enable acess into a universal form of unequally spaced soliton triplets interpreted as 2+1 soliton *** binding strengths of intramo-lecular and intermolecular bonds are validated with respect to the diverse internal motions involved in this soliton triplet *** these findings unveil the transient dynamics with more degrees of freedom as well as highlight the possible application for all-optical bit storage.

关键词： fiber soliton dynamics

Characterizing receiver clock behaviors onboard Low Earth Orbiters:A case study of GRACE satellites

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Geodesy and Geodynamics 2019年第4期10卷 276-281页

作者： Tzu-Pang Tseng C.K.shum Ting-Yi Yang Geoscience Australia Jerrabomberra Ave&Hindmarsh DriveSymonstonACT2609Australia Division of Geodetic Science School of Earth SciencesThe Ohio State University125 South Oval MallColumbusOH43210USA Institute of Geodesy and Geophysics Chinese Academy of SciencesWuhanHubei430077China

Accurate estimation of clocks, for example for the Gravity Recovery And Climate Experiment(GRACE)twin-satellites, is a critical part of precise orbit determination(POD) that ensures temporal gravity inversion. Characterizing the periodic variations of the receiver clocks is critical for precise clock modeling and prediction. In this study, the receiver clock is estimated using two different POD procedure: kinematic and reduced-dynamic approaches. Choices and the number of orbital parameters estimated in POD process affect the clock estimates, e.g., there are 8895 and 34,560 total parameters in the reduced-dynamic and kinematic approaches, respectively. In the both cases, the periodic variations of GRACE receiver clock are mainly dominated by the GPS orbit period, as well as once-(1-pr) and twiceper-revolution(2-pr) effects. Here the 1-pr effect is coupled with the relativistic effect, resulting in a difficulty to separate both signals. The clock amplitudes caused by the GPS orbit period, 1-pr and 2-pr are about 0.1, 0.03 and 0.01 ns, respectively. The GPS orbit period is almost one order magnitude larger than the 1-and 2-pr effect. The 0.1-ns amplitude of the 12-h periodic variation is equivalent to a 3-cm error in range. Such a systematic error should be considered in the receiver clock modeling for both the improvement of positioning accuracy and the reduction of number of unknown parameters, if the precise point positioning(PPP) technique is used for the orbit determination of the GRACE.

关键词： GPS GRACE Precision orbit determination Clock modeling

Vector-valued operators, optimal weighted estimates and the C_p condition

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Science China Mathematics 2020年第7期63卷 1339-1368页

作者： María Eugenia Cejas Kangwei Li Carlos Pérez Israel Pablo Rivera-Ríos BCAM—Basque Center for Applied Mathematics Bilbao 48009Spain CONICET Departamento de MatematicaFacultad de Ciencias ExactasUniversidad Nacional de La PlataLa Plata 1900Argentina Department of Mathematics University of the Basque CountryBilbao 48080Spain Ikerbasque Basque Foundation of ScienceBilbao 48013Spain INMABB CONICETDepartamento de MatematicaUniversidad Nacional del SurBahia Blanca 8000Argentina

In this paper some new results concerning the C_p classes introduced by Muckenhoupt(1981)and later extended by Sawyer(1983),are *** particular,we extend the result to the full expected range p>0,to the weak norm,to other operators and to their vector-valued *** of those results rely upon sparse domination,which in the vector-valued case are provided as *** will also provide sharp weighted estimates for vector-valued extensions relying on those sparse domination results.

关键词： A_p weights quantitative estimates C_p estimates vector-valued extensions sparse domination maximal functions Calderon-Zygmund operators commutators

The rigorous adjustment of the global mean sea level budget during 2005-2015

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Geodesy and Geodynamics 2021年第3期12卷 175-180页

作者： H.Bâki Iz T.Y.Yang C.K.shum Division of Geodetic Science School of Earth SciencesThe Ohio State UniversityColumbusOHUSA

Global mean sea level budget is rigorously adjusted during the period *** emphasis is to provide the best estimates for the linear rates of changes(trends)of the global mean sea level budget components during this period subject to the constraint:Earth’s hydrosphere conserves *** newly simultaneously adjusted trends of the budget components suggest a larger correction for the global mean sea level trend implicated by the other budget components’trends under the budget *** simultaneous estimation of the linear trends of the budget components subject to the constraint for closure improves their uncertainties and enables a holistic assessment of the global mean sea budget,which has implications for future sea level science studies,including the future Intergovernmental Panel on Climate Change(IPCC)Assessment Reports,and the US Climate Assessment Reports.

关键词： Climate change Misclosure Global mean sea level Rigorous adjustment