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A free monoid containing all prefix codes

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Applied Mathematics(A Journal of Chinese Universities) 2024年第4期39卷 596-603页

作者： CAO chun-hua liu Qin YANG Di School of Mathematics and Statistics Yunnan UniversityKunming 650405China Chongqing Tongnan Experimental Middle School Chongqing 402660China Zhonghua Vocational College Yunnan University of Finance and EconomicsKunming 650221China

In this paper,we exhibit a free monoid containing all prefix codes in connection with the sets of i-th powers of primitive words for all i≥*** extends two results given by Shyr and Tsai in 1998 at the same time.

关键词： prefix code free monoid primitive word maximal prefix code

Research advances in the treatment of Alzheimer＇s disease with polysaccharides from traditional Chinese medicine

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Chinese Journal of Natural Medicines 2017年第9期15卷 641-652页

作者： liu Qin WANG Shun-chun DING Kan Institute of Chinese Materia Medica Shanghai University of Traditional Chinese Medicine Shanghai 201203 China Glycochemistry and Glycobiology Lab Shanghai Institute ofMateria Medica Chinese Academy of Sciences Shanghai 201203China University of Chinese Academy of Sciences Beijing 100049 China Key Laboratory of Receptor Research Shanghai Institute ofMateria Medica Chinese Academy of Sciences Shanghai 201203China

Alzheimer's disease(AD) is a neurodegenerative disorder characterized by the loss of patients' memory and their cognitive abilities and the mechanism is not completely clear. Although a variety of drugs have been approved for the AD treatment, substances which can prevent and cure AD are still in great need. The effect of polysaccharides from traditional Chinese medicine(TCM) on anti-AD has gained great progress and attained more and more attention in recent years. In this review, research advances in TCM-polysaccharides on AD made in this decade are summarized.

关键词： Alzheimer’s disease Polysaccharides Traditional Chinese medicine

Majorana fermions in semiconducting nanowire and Fulde–Ferrell superconductor hybrid structures

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Frontiers of physics 2019年第1期14卷 147-154页

作者： Jia liu chun Fai Chan Ming Gong Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials and School of Physics and Telecommunication Engineering South China Normal University Guangzhou 510006 China Department of Physics and Center of Coherence The Chinese University of Hong Kong Shatin N. T. Hong Kong China Key Laboratory of Quantum Information University of Science and Technology of China Hefei 230026 China Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials and School of Physics and Telecommunication Engineering South China Normal University Guangzhou 510006 China

The novel idea that spin-orbit coupling (SOC) and an s-wave pairing system can lead to induced pwave pairing with a strong magnetic limit, has stimulated widespread interest in searching for Majorana fermions (MFs) in semiconductor-superconductor hybrid structures. However, despite major advances in the semiconductor nanotechnology, this system has several inherent limitations that prohibit the realization and identification of MFs. We overcome these limitations by replacing the s-wave superconductor with the type-II Fulde-Ferrell (FF) superconductor, in which the center-of-mass momentum of the Cooper pair renormalizes the in-plane Zeeman field and chemical potential. As a result, MFs can be realized in semiconductor nanowires with small values of the Landé g-factor and high carrier densities. The SOC strength directly influences the topological boundary;thus, the topological phase transition and associated MFs can be engineered by an external electric field. Theoretically, almost all semiconductor nanowires can be used to realize MFs by using the FF superconductor. However, we find that InP nanowire is more suitable for the realization of MFs compared to InAs and InSb nanowires. Thus, this new scheme can take full advantage of the semiconductor nanotechnology for the realization of MFs in semiconductor-superconductor hybrid structures.

关键词： Majorana fermion topological transition Pfaffian FF-superconductor hybrid structure

Comment on “Computer Algebra and Solutions to the Karamoto-Sivashinsky Equation” [Commun. Theor. Phys. （Beijing, China） 43 （2005） 39]

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Communications in Theoretical Physics 2005年第4X期44卷 609-610页

作者： liu chun-Ping Institute of Mathematics Yangzhou University Yangzhou 225002 China

In a recent article [Commun. Theor. Phys. (Beijing, China) 43 (2005) 39], Xie et al. improved the extended tanh function method by introducing a generalized Riccati equation and its new solutions. Then they choose the Karamoto-Sivashinsky (KS) equation to illustrate their approach and obtain many exact solutions of the KS *** they claim that, by using their method, one not only can successfully recover the previously known formal solutions but also construct new and more general formal solutions for some nonlinear evolution equations. In this comment, we will show that the claim is incorrect.

关键词： algebraic method exact solution Karamoto-Sivashinsky equation

Carbothermal reduction characteristics of oxidized Mn ore through conventional heating and microwave heating

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International Journal of Minerals,Metallurgy and Materials 2021年第2期28卷 221-230页

作者： Yang He Jian liu Jian-hua liu chun-lin Chen Chang-lin Zhuang Institute of Engineering Technology University of Science and Technology BeijingBeijing 100083China Commonwealth Scientific and Industrial Research Organisation Melbourne 3168Australia Dongbei Special Steel Group Co. Ltd.Dalian 116105China College of Materials and Metallurgy Guizhou UniversityGuiyang 550025China

For the purpose of exploring a potential process to produce FeMn,the effects of microwave heating on the carbothermal reduction characteristics of oxidized Mn ore was *** microwave heating curve of the mixture of oxidized Mn ore and coke was analyzed in association with the characterization of dielectric *** comparative experiments were conducted on the carbothermal reductions through conventional and microwave heatings at temperatures ranging from 973 to 1373 *** thermogravimetric analysis showed that carbothermal reactions under microwave heating proceeded to a greater extent and at a faster pace compared with those under conventional *** metal phases were observed in the microstructures only under microwave *** carbothermal reduction process under microwave heating was *** electric and magnetic susceptibility differences were introduced into the thermodynamics analysis for the formation of metal *** developed thermodynamics considered that microwave heating could make the reduction of MnO to Mn more accessible and increase the reduction extent.

关键词： carbothermal reduction manganese ore manganese oxides microwave heating thermodynamics electromagnetic fields

Quantification of anaerobic ammonium-oxidizing bacteria in enrichment cultures by quantitative competitive PCR

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Journal of Environmental Sciences 2009年第11期21卷 1557-1561页

作者： HAO chun WANG Huan liu Qinhua LI Xudong Chengdu Institute of Biology Chinese Academy of Sciences Chengdu 610041 China Graduate University of the Chinese Academy of Sciences Beijing 100039 China

The anaerobic ammonium-oxidizing （ANAMMOX） bacteria were enriched from a sequencing batch biofilm reactor （SBBR）. A quantitative competitive polymerase chain reaction （QC-PCR） system was successfully developed to detect and quantify ANAMMOX bacteria in environmental samples. For QC-PCR system, PCR primer sets targeting 16S ribosomal RNA genes of ANAMMOX bacteria were designed and used. The quantification range of this system was 4 orders of magnitude, from 10^3 to 10^6 copies per PCR, corresponding to the detection limit of 300 target copies per mL. A 312-bp internal standard was constructed, which showed very similar amplification efficiency with the target amxC fragment （349 bp） over 4 orders of magnitude （10^3-10^6）. The linear regressions were obtained with R^2 of 0.9824 for 10^3 copies, 0.9882 for 10^4 copies, 0.9857 for 10^5 copies and 0.9899 for 10^6 copies, respectively. Using this method, ANAMMOX bacteria were quantified in a shortcut nitrification/denitrification-anammox system which was set for piggery wastewater treatment.

关键词： anaerobic ammonium oxidation 16S rRNA approach quantitative competitive PCR

Hydrodynamic characteristics of a four-compartment periodic anaerobic baffled reactor

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Journal of Environmental Sciences 2007年第10期19卷 1159-1165页

作者： liu Xiao-lei REN Nan-qi WAN chun-li School of Municipal and Environmental Engineering Harbin Institute of Technology Harbin 150090 China School of Water Conservancy and Environment Engineering Changchun Institute of Technology Changchun 130012 China

Periodic anaerobic baffled reactor （PABR） is a novel reactor based on the design concept of anaerobic baffled reactor （ABR）. Residence time distribution （RTD） studies on both clean and working reactors at the same hydraulic residence time （HRT） of 2 d were carded out to investigate the dead spaces and mixing patterns in PABRs at different organic loading rates （OLRs） in various switching manners and frequencies. The results showed that the fraction of dead space in PABR was similar to that in ABR, which was low in comparison with other reactor designs. Dead space may be divided into two categories, hydraulic and biological. In RTD studies without biomass, the hydraulic dead space in the PABR run in an ＂every second＂ switching manner with T = 2 d was the lowest whereas that in the PABR run in a T = ∞ （ABR） switching manner was the highest. The same trend was obtained with the total dead space in RTD studies with biomass no matter what the OLR was. Biological dead space was the major contributor to dead space but affected decreasingly at higher OLR whichever switching manner the PABR run in. The flow patterns within the PABRs were intermediate between plug-flow and perfectly mixed under all the conditions tested,

关键词： dead space residence time distribution periodic anaerobic baffled reactor anaerobic processes wastewater treatment

Spins of Triaxial Superdeformed Bands in ^(86)Zr

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Chinese Physics Letters 2000年第7期17卷 478-479页

作者： liu Zu-hua YANG chun-Xiang China Institute of Atomic Energy Beijing 102413

Transition energies of three triaxial superdeformed bands in 86Zr were fitted by the power-series expansion of spin I in odd powers of rotationalfrequeney ψ and by the two-parameter expression for rotational spectra.... 详细信息

关键词： spectra bands rotational

A ligand-free Heck reaction catalyzed by the in situ-generated palladium nanoparticles in PEG-400

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Chinese Chemical Letters 2010年第12期21卷 1411-1414页

作者： Wei Han Ning liu chun liu Zi Lin Jin State Key Laboratory of Fine Chemicals School of Chemical Engineering Dalian University of Technology Dalian 116012 China

A ligand-free Heck reaction catalyzed by in situ-generated palladium nanoparticles in PEG-400 has been *** catalytic system is a simple and active protocol for the Heck reaction of aryl halides under mild *** experiments demonstrated that the Heck reaction catalyzed by the palladium nanoparticles in situ-generated under the Heck reaction conditions was carried out much quicker than that by the in ex situ-generated ones.

关键词： rn situ nanocatalysis Palladium nanoparticles Heck reaction Polyethylene glycol