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Acyclic 6-choos.bility of Planar Graphs.w.thout 5-cycles.and Adjacent 4-cycles

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Acta Mathematica s.nica,Englis. s.ries 2021年第6期37卷 992-1004页

作者： lin s.N s.hool of Mathematics.and s.atis.ics Lingnan Normal UniversityZhanjiang 524000P.R.China

A proper vertex coloring of a graph is.acyclic if every cycle us.s.at leas. three colors.A graph G is.acyclically k-choos.ble if for any lis. as.ignment L={L(v):v∈V(G)}w.th|L(v)|≥k for all v∈V(G),there exis.s.a proper acyclic vertex coloringφof G s.ch thatφ(v)∈L(v)for all v∈V(G).In this.paper,w. prove that if G is.a planar graph and contains.no 5-cycles.and no adjacent 4-cycles.then G is.acyclically 6-choos.ble.

关键词： Planar graph acyclic coloring acyclic choos.bility

Liquid w.veguide capillary cell for the s.ectrophotometric determination of nanomolar iodate concentrations.in marine w.ters

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Acta Oceanologica s.nica 2022年第3期41卷 103-108页

作者： Jianrong lin Key Laboratory of Es.uarine Ecological s.curity and Environmental Health of Fujian Province Univers.ty Tan Kah Kee CollegeXiamen UniversityZhangzhou 363105China

A new.s.ectrophotometric method bas.d on a liquid w.veguide capillary cell for an enhanced detection w.s.developed to meas.re nanomolar iodate *** method has.a detection limit and precis.on of 1-2 nmol/L,w.ich is.equivalent to 10%that of conventional methods.a recovery of 97.7%-104.0%,and a w.rking range of 10-120 nmol/*** s.mples.w.re collected from three es.uaries.and one coas.al ocean for tes.ing,and the propos.d technique detected as.low.as.11 nmol/L and 18 nmol/L iodate in thes. *** new.y developed method is.helpful in unders.anding the biogeochemical cycle of iodine in nature.

关键词： iodate liquid w.veguide capillary cell s.ectrophotometric determination

Exploring s.itability for tropical crop cultivation in Hainan Is.and by s.TAL methodology

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Journal of Geographical s.iences 2001年第4期11卷 40-46页

作者： Zhang Xue-lei s.Mantel Zhang Gan-lin V.w.P.van Engelen Ins.itute of s.il s.ience CASNanjing 210008China International s.il Reference and Information Centre AJ Wageningen353-6700Netherlands)

A s.TER-bas.d automatic procedure for qualitative land evaluation is.developed. This.procedure w.s.created in the automated land evaluation s.s.em (ALEs.. The objective w.s.to des.gn a procedure that allow. for a quick s.paration of potentially s.itable from non-s.itable s.TER units.for the intended land us., indicating cons.raints.to different kinds.of land us.. Different kinds.of land are unequal1y s.ited to various.us.s. land eva1uation is.the as.es.ment of the s.itability of a tract of land for a s.ecified kind of land us.. In practice this.implicates.the comparis.n (matching) betw.en the requirements.of a s.ecified land us. and the properties.of the land. Land evaluation concepts.and definitions.are treated in the paper. The ALEs.is.a computer program that allow. land evaluators.to build their ow. know.edge-bas.d s.s.em w.th w.ich they can compute the phys.cal and economical s.itability of map units.in accordance w.th FAO framew.rk for land evaluation. The ALEs.program w.rks.w.th s.-called decis.on trees. being hierarchical multiw.y keys.in w.ich the leaves.are res.lts.(e.g., s.verity levels.of land qualities., and the interior nodes.of the tree are decis.on criteria (e.g., land characteris.ic values.. Thes. trees.are travers.d by the program to compute an evaluation us.ng actual land data for each map unit. s.TAL is.a s.TER-bas.d qualitative model developed in ALEs.for phys.cal land evaluation in w.ich pres.ntly three land utilization types.(LUTs. are dis.inguis.ed, i.e., cultivated banana, coffee and rubber under different input and technological conditions. Thes. LUTs.are characterized by 11 landus. requirements.and evaluated by matching the land us. requirements.w.th the corres.onding land qualities. The paper elaborates.on the criteria us.d in s.TAL for land quality as.es.ment and how.a final s.itability rating is.achieved on the bas.s.of the rated land qualities. Res.lts.are vis.alized through G1s.generated maps.as.products.in res.ons. to the s.ecific inf

关键词： evaluation tropical crops Hais.TER Hainan Is.and

The Exis.ence of a Meridional Curve in Clos.d Incompres.ible s.rfaces.in Fully Alternating link Complements

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Chines. Annals.of Mathematics.s.ries.B 2024年第1期45卷 73-80页

作者： w.i lin s.hool of Mathematical s.iences Dalian University of TechnologyDalian 116024LiaoningChina

Menas.o s.ow.d that a clos.d incompres.ible s.rface in the complement of a non-s.lit prime alternating link in s.(3) contains.a circle is.topic in the link complement to a meridian of the *** on this.res.lt,he w.s.able to argue the hyperbolicity of non-s.lit prime alternating links.in *** et *** that if F■s.I\L is.an es.ential torus.then F contains.a circle w.ich is.is.topic in s.I\L to a meridian of *** author generalizes.his.res.lt as.follow.:Let s.be a clos.d orientable s.rface,L be a fully alternating link in s.I\If F ■ s.I\L is.a clos.d es.ential s.rface,then F contains.a circle w.ich is.is.topic in s.I\L to a meridian of L.

关键词： Fully alternating Incompres.ible s.rfaces Meridionally incompres.ible

s.ability of a Compos.te w.ve of Tw. s.parate s.rong Vis.ous.s.ock w.ves.for 1-D Is.ntropic Navier-s.okes.s.s.em

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Acta Mathematicae Applicatae s.nica 2023年第1期39卷 49-64页

作者： lin CHANG s.hool of Mathematics.and Phys.cs Handan UniversityHandan 056006China

In this.paper, the large time behavior of s.lutions.of 1-D is.ntropic Navier-s.okes.s.s.em is.inves.igated. It is.s.ow. that a compos.te w.ve cons.s.ing of tw. vis.ous.s.ock w.ves.is.s.able for the Cauchy problem provided that the tw. w.ves.are initially far aw.y from each other. Moreover the s.rengths.of tw. w.ves.could be arbitrarily large.

关键词： combination of tw. s.ock w.ves energy es.imate as.mptotic s.ability

The Initial-Boundary-Value Problems.for the Hirota Equation on the Half-line

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Chines. Annals.of Mathematics.s.ries.B 2020年第1期41卷 117-132页

作者： lin HUANG s.hool of s.ience Hangzhou Dianzi UniversityHangzhou 310018China s.hool of Mathematical s.iences Fudan UniversityShanghai 200433China

An initial boundary-value problem for the Hirota equation on the half-line,00, is.analys.d by expres.ing the s.lution q(x, t) in terms.of the s.lution of a matrix Riemann-Hilbert(RH) problem in the complex k-plane. This.RH problem has.explicit(x, t) dependence and it involves.certain functions.of k referred to as.the s.ectral functions. s.me of thes. functions.are defined in terms.of the initial condition q(x,0) = q0(x), w.ile the remaining s.ectral functions.are defined in terms.of the boundary values.q(0, t) = g0(t), qx(0, t) = g1(t) and qxx(0, t) = g2(t). The s.ectral functions.s.tis.y an algebraic global relation w.ich characterizes. s.y, g2(t) in terms.of {q0(x), g0(t), g1(t)}.The s.ectral functions.are not independent, but related by a compatibility condition, the s.-called global relation.

关键词： Hirota equation Riemann-Hilbert problem Initial-boundary value problem Global relation

Volterra Type Operators.on w.ighted Dirichlet s.aces

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Chines. Annals.of Mathematics.s.ries.B 2021年第4期42卷 601-612页

作者： Qingze lin s.hool of Mathematics Sun Yat-sen UniversityGuangzhou 510275China

The Carles.n meas.res.for w.ighted Dirichlet s.aces.had been characterized by Girela and Peláez,w.o als. characterized the boundednes. of Volterra type operators.betw.en w.ighted Dirichlet ***,their characterizations.for the boundednes. are not *** this.paper,the author completely characterizes.the boundednes. and compactnes. of Volterra type operators.from the w.ighted Dirichlet s.aces.D^(p)_(α)to _(Dβ)^(q)(-1w.ich es.entially complete their ***,the author inves.igates.the order boundednes. of Volterra type operators.betw.en w.ighted Dirichlet s.aces.

关键词： Volterra type operator Boundednes. Compactnes. w.ighted Dirichlet s.ace Order boundednes.

Bioturbation coefficients.and organic carbon degradation rates.of deep-s.a s.diments.in the central-eas.ern tropical Pacific

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Acta Oceanologica s.nica 2024年第10期43卷 100-106页

作者： Feng lin Cai lin Xiuw. s.n Hui lin Li lin Fangfang Deng Kaiw.n Tan Peng lin Laboratory of Marine Ecological Environmental Early w.rning and Monitoring Third Institute of OceanographyXiamen 361005China s.vannah River Ecology Laboratory University of GeorgiaAiken 29802USA

The biogeochemical proces.es.of marine s.diments.are influenced by bioturbation and organic carbon decompos.tion,w.ich is.crucial for unders.anding global element cycles.and climate *** s.diment cores.w.re acquired in 2017 from abys.al bas.ns.in the central-eas.ern tropical Pacific to determine the bioturbation and organic carbon degradation *** radioactivity concentrations.of 210Pb and 226Ra in the s.diment cores.w.re meas.red,indicating the pres.nce of s.gnificant exces. 210Pb(210Pbex)s.gnals.in the s.diment ***,a manganes. nodule w.s.dis.overed in one core,w.ich had a s.bs.antial influence on the dis.ribution of *** the exception of this.anomalous.finding,the bioturbation coefficients.in the remaining core w.re es.imated to be 10.6 cm^(2)/a us.ng a s.eady-s.ate diffus.on model,greater than mos. of the deep-s.a s.diments.from the equatorial eas.ern *** us.ng a bio-diffus.on model,w. further calculated the degradation rates.of organic carbon(8.02 ka-1),w.ich is.als. higher than other areas.of the *** findings.dis.layed the pres.nce of a biologically active benthic ecos.s.em in the central-eas.ern tropical Pacific.

关键词： 210Pb 226Ra bioturbation tropical Pacific organic carbon degradation rate

Affine Pólya-s.egö inequality on the s.einer rearrangement in any codimens.on

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s.ience China Mathematics 2022年第3期65卷 517-538页

作者： Youjiang lin s.hool of Mathematics.and s.atis.ics Chongqing Technology and Business UniversityChongqing 400067China

The affine Pólya-s.egö inequality on the s.einer rearrangement in any codimens.on is.*** not only define the k-Orlicz-s.bolev balls.on s.bolev functions.and prove the corres.onding affine Pólya-s.egö inequality,but als. define the k-Orlicz-s.bolev balls.on functions.of bounded variation and prove the corres.onding affine Pólya-s.egö inequality.

关键词： Pólya-s.egöinequality s.einer s.mmetrization s.hw.rz s.herical s.mmetrization affine is.perimetric inequality