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ON AN EXTENSION OF ABEL-GONTSCHAROFF'S EXPANSION FORMULA

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Analysis in Theory and Applications 2005年第4期21卷 359-369页

作者： Tianxiao He Leetsch C. Hsu peter j. S. Shiue Illinois Wesleyan University USA Dalian University of Technology China University of Nevada Las Vegas USA

We present a constructive generalization of Abel-Gontscharoff＇s series expansion to higher dimensions. A constructive application to a problem of multivariate interpolation is also investigated. In addition, two algo... 详细信息

关键词： Abel-Gontscharoff's Expansion Formula Abel-Gontscharoff-Gould polynomial multivariate Abel-Gontscharoff interpolation higher dimensional dot product annihilation coefficients

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Interplay of conducting and non-conducting walls on hydromagnetic natural convection flow in a vertical micro-channel with Hall current

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Propulsion and Power Research 2021年第2期10卷 155-168页

作者： Basant k.j.a peter B.Malgwi Department of Mathematics Ahmadu Bello UniversityZariaNigeria Department of Mathematics Air Force Institute of TechnologyKadunaNigeria

Theoretical investigation on the interaction between conducting and nonconducting walls on hydromagnetic natural convection flow of viscous incompressible and electrically conducting fluid through a vertical micro-channel taking into account the effects of induced magnetic field in presence of Hall current is *** coupled equations responsible for the flow are obtained when either the micro-channel walls are electrically conducting or are electrically *** the method of undetermined coefficients,exact solution are obtained and presented in dimensionless form subj.ct to relevant boundary *** for fluid velocity,induced magnetic field,skin friction,volume flow rate and induced current density in both primary and secondary flow directions are also *** of some governing parameters like Hall current parameter,rarefaction parameter and Hartmann number on the different flow situations are given using the aid of line graphs and *** main conclusion of the present analysis is that,in the existence of rarefaction parameter,primary fluid velocity could be enhanced with the increase in Hall parameter when the micro-channel walls are either insulated or when the left micro-channel wall is electrically *** obtained in this work are relevant in many magnetically controlled devices and could also be used as a benchmark in checking the accuracies of result obtained in some empirical experiments.

关键词： Magnetohydrodynamic(MHD) Hall current Micro-channel Velocity slip Temperature j.mp

Metallacycles,metallacages,and their aggregate/optical behavior

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Aggregate

Aggregate 2021年第5期2卷 1-21页

作者： Yan Sun peter j.Stang Department of Chemistry University of UtahSalt Lake CityUtahUSA

Since the first metallacycle was prepared by Verkade in 1983,various metallacycles and metallacages with controllable nanoscale shapes and sizes have been created by modular design and synthesis,showing unique properties that enable applications in catalysis,sensors,and *** from their photophysical properties to their antitumor activities and catalysis was found to be influenced by their ***,it is necessary and helpful to develop a systematic understanding of the relationships among the micro/nanostructures,the resultant photophysical/chemical properties,and the corresponding *** this review,we summarized the latest progress in this area in approximately the past 5 years.

关键词： aggregation coordination-driven assembly emission

Characterisation of Na-metasomatism in the Sveconorwegian Bamble Sector of South Norway

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Geoscience Frontiers 2014年第5期5卷 659-672页

作者： Ane k.Engvika peter M.Ihlena Hakon Austrheimb Geological Survey of Norway.P.O.Box 6315 Sluppen.N-7491 TrondheimNorway Department of Geosciences.University of Oslo P.O.Box 1047 BlindernN-0316 OsloNorway

Na-metasomatism in the form of albitisation is regionally extensive in the Precambrian crust of southern Scandinavia and is particularly widespread in the Bamble Sector, the kongsberg-Modum Sector and the Norwegian part of the Mylonite Zone. Sites of albitisation outside these belts are associated with hy- drothermal breccia pipes and fracture-bound alteration. The albitites are composed of near end-member sodic plagioclase （Ano 5Ab94-99） with minor carbonate （calcite and dolomite）, rutile, clinopyroxene （En30Fs21-23W047 49）, amphibole （edenite-pargasite）, quartz, titanite, tourmaline, epidote （Fe3＋ - 0.20 -0.85 a.p.f.u） and chlorite （Mg# = 0.81-0.89）. The albitites have been studied in detail in the region around the town of kragem, and are described as albitisation along veins, as breccias, alhitic felsites, massive carbonate-bearing albitites and megascale clinopyroxene-titanite-bearing albitite. The strong fluid control on their formation is illustrated by the veining and mineral replacement reactions, showing fluid transport by a H20-CO2 fluid rich in Na, depleting Fe and Mg from the host rock, in accordance with calculated mass transfer. A study of the mineralogical replacement reactions in combination with a regional compilation has demonstrated the relationship between metasomatic processes and the for- mation of apatite, ruti｜e and Fe deposits. The albitites occur spatially associated with other metasomatic rocks such as scapolitised metagabbros. We document that metasomatism is an important mineral- and rock-forming process in the continental crust, which in the Bamble Sector is a part of the tectonome- tamorphic evolution of the Sveconorwegian orogen.

关键词： AlbititeMetasomatismBamble SectorFluidsSveconorwegianSouth Norway

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A cautionary note on decadal sea level pressure predictions from GCMs

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Advances in Climate Change Research 2018年第1期9卷 43-56页

作者： Stefan LIESS peter k.SNYDER Arj.n kUMAR Vipin kUMAR Department of Earth Sciences University of MinnesotaMinneapolis MN 55455USA Department of Soil Waterand ClimateUniversity of MinnesotaSt.Paul MN 55108USA Computer Science&Engineering University of MinnesotaMinneapolis MN 55455USA

A comparison of sea level pressure(SLP)trends in a subset of seven Coupled Model Intercomparison Proj.ct(CMIP)phase 5 general circulation models(GCM),namely decadal simulations with CCSM4,CanCM4,MPI-ESM-LR,FGOALS-g2,MIROC4h,MIROC5,and MRICGCM3,to their CMIP3 counterparts reveals an unrealistically strong forecast skill in CMIP3 models for trend predictions for 2001e2011 when using the 1979e2000 period to train the ***-winter SLP trends over five high-,mid-,and low-latitude zones were calculated over the 1979e2000 initialization period for each ensemble member and then ranked based on their performance relative to HadSLP2 *** same method is used to rank the ensemble members during the 2001e2011 *** CMIP3,17 out of 38 ensemble members retain their rank in the 2001e2011 hindcast period and 3 retain the neighboring ***,numbers are much lower in more recent CMIP5 decadal predictions over the similar 2001e2010 period when using the 1981e2000 period as initialization with the same number of *** periods were used for CMIP3 and CMIP5 because although the 1979e2000 initialization is widely used for CMIP3,CMIP5 decadal predictions are only available for 30-year *** conclusion to consider the forecast skill in CMIP3 predictions during 2001e2011 as unrealistic is corroborated by comparisons to earlier periods from the 1960s to the 1980s in both CMIP3 and CMIP5 ***,although the 2001e2011 CMIP3 predictions show statistically significant forecast skill,this skill should be treated as a spurious result that is unlikely to be reproduced by newer more accurate GCMs.

关键词： sea level pressure CMIP3 Coupled Model Intercomparison Proj.ct

Rapid two-dimensional characterisation of proteins in solution

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Microsystems & Nanoengineering 2019年第1期5卷 388-397页

作者： kadi LSaar Quentin peter Thomas Muller Pavan k.Challa Therese W.Herling Tuomas P.j.knowles Department of Chemistry University of CambridgeLensfield RoadCambridge CB21EWUK Cavendish Laboratory Department of PhysicsUniversity of CambridgeJ J Thomson AveCambridge CB30HEUK Fluidic Analytics Limited CambridgeUK

Microfluidic platforms provide an excellent basis for working with heterogeneous samples and separating biomolecular components at high throughput,with high recovery rates and by using only very small sample *** date,several micron scale platforms with preparative capabilities have been *** we describe and demonstrate a microfluidic device that brings preparative and analytical operations together onto a single chip and thereby allows the acquisition of multidimensional *** achieve this obj.ctive by using a free-flow electrophoretic separation approach that directs fractions of sample into an on-chip analysis unit,where the fractions are characterised through a microfluidic diffusional sizing *** combined approach therefore allows simultaneously quantifying the sizes and the charges of components in heterogenous *** illustrate the power of the platform by describing the size distribution of a mixture comprising components which are close in size and cannot be identified as individual components using state-of-the-art solution sizing techniques on their ***,we show that the platform can be used for two-dimensional fingerprinting of heterogeneous protein mixtures within tens of seconds,opening up a possibility to obtain multiparameter data on biomolecular systems on a minute timescale.

关键词： process. character mixtures

Application of Polynomial Interpolation in the Chinese Remainder Problem

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j.urnal of Mathematical Research with Applications 2017年第1期37卷 90-96页

作者： Tianxiao HE Scott MACDONALD peter j.-S.SHIUE Department of Mathematics Illinois Wesleyan University Math Learning Center University of Nevada Las Vegas Department of Mathematical Sciences University of Nevada

This paper presents an application of polynomial interpolation in the solution of the Chinese Remainder Problem for bother integers and polynomials.

关键词： Chinese Remainder problem Chinese Remainder theorem Lagrange interpolation Newton interpolation

Microfluidic pumping using artificial magnetic cilia

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Microsystems & Nanoengineering 2018年第1期4卷 300-308页

作者： Srinivas Hanasoge peter j.Hesketh Alexander Alexeev George W.Woodruff School of Mechanical Engineering Georgia Institute of TechnologyAtlantaGA 30332USA

One of the vital functions of naturally occurring cilia is fluid *** cilia use spatially asymmetric strokes to generate a net fluid flow that can be utilized for feeding,swimming,and other *** synthetic cilia with similar asymmetric beating can be useful for fluid manipulations in lab-on-chip *** this paper,we demonstrate the microfluidic pumping by magnetically actuated synthetic cilia arranged in multi-row *** use a microchannel loop to visualize flow created by the ciliary array and to examine pumping for a range of cilia and microchannel *** show that magnetic cilia can achieve flow rates of up to 11μl/min with the pressure drop of~1 *** magnetic ciliary array can be useful in microfluidic applications requiring rapid and controlled fluid transport.

关键词： pumping fluid magnetic

Dielectric confinement on exciton binding energy and nonlinear optical properties in a strained Zn_(1-x_(in))Mg_(x(in))Se/Zn_(1-x(out))Mg_(x(out))Se quantum well

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j.urnal of Semiconductors 2012年第9期33卷 1-7页

作者： j.Abraham Hudson Mark A.j.hn peter Department of Physics NPR Arts&Science CollegeNathamDindigul-624401India Department of Physics Government Arts CollegeMelur-625106MaduraiIndia

The band offsets for a Zn1-xin Mgxin Se/Zn1-xout Mgxout Se quantum well heterostructure are determined using the model solid theory. The heavy hole exciton binding energies are investigated with various Mg alloy contents. The effect of mismatch between the dielectric constants between the well and the barrier is taken into account. The dependence of the excitonic transition energies on the geometrical confinement and the Mg alloy is discussed. Non-linear optical properties are determined using the compact density matrix approach. The linear, third order non-linear optical absorption coefficient values and the refractive index changes of the exciton are calculated for different concentrations of magnesium. The results show that the occurred blue shifts of the resonant peak due to the Mg incorporation give the information about the variation of two energy levels in the quantum well width.

关键词： interband emission energy exciton binding energy quantum well

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