简介：Inthiswork,webrieflydiscussanovelclassofmodifiedgravitylikef(T,TG)gravity.Inthisbackground,weassumethenewagegraphicversionofpilgrimdarkenergyandreconstructf(T,TG)modelsfortwospecificvaluesofs.Wealsodiscusstheequationofstateparameter,squaredspeedofsoundandwDE-wDEplaneforthesereconstructedf(T,TG)models.Theequationofstateparameterprovidesphantom-likebehavioroftheuniverse.ThewDE-wDEplanealsocorrespondstoΛCDMlimit,thawingandfreezingregionsforbothmodels.

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简介：在简单图的顶点度和f-因子的关系方面,本文在Tutte定理的基础上给出了图G不存在f-因子时的一个结论.

简介：ForagiventriangulationΔofaregionRofinterest,letS82（Δ）:={s∈C2（R）:s|1∈P8,l∈Δ}bethespaceofallsplinesofdegree8andsmoothness2,wheretdenotesanytriangleofΔandP8thespaceofpolynomialsoftotaldegree≤8.Furthermore,letS82（Δ）:={s∈S83（Δ）:s∈C3atv,v∈Δ}beasupersplinesubspaceofS82（Δ）.WeconstruelacollectionoflocallysupportedsplinesinS82（Δ）whichcanbeusedtoachievelhefullapproximationorderofS82（Δ）anditscardinalilyislessthanthedi-mensionofsupersplinespacespaceS82（Δ）.

简介：TheusualF--testhasbeenusedtotestagenerallinearhypothesisforatwo--stageleastsquaresmethodinasystemofeconomicequations.However,wefindthatthisF--testisactuallyasymptoticallyinvalid.Somesuggestionsaregivenfortestingagenerallinearhypothesisinthissituation.

简介：Inthispaperweobtainthebestapproximationconstantoffunctionf（x）(∈C2π)bytheJackson’stypeoperatorJπ3（f;x）,i.e.‖Jn,3（f,x）-f（x）‖c≤（4-6/π）ω（f,1/n）,‖Jn,3（f,x）-f（x）‖c≤（8-17/π）ω2（f,1/n）

简介：Quasiclassicaltrajectorycalculation(QCT)isusedfrequentlyforstudyingcollisionalenergytransferbetweenhighlyvibrationallyexcitedmoleculesandbathgases.Inthispaper,theQCToftheenergytransferbetweenhighlyvibrationallyexcitedC6F6andN2,O2andgroundstateC6F6wereperformed.TheresultsindicatethathighlyvibrationallyexcitedC6F6transferredvibrationalenergytovibrationaldistributionofN2,O2andgroundstateC6F6,sotheyareV-Venergytransfer.EspeciallyitismainlyV-VresonanceenergytransferbetweenexcitedC6F6andgroundstateC6F6,excitedC6F6transfersmorevibrationalenergytogroundstateC6F6thantoN2andO2.ThevaluesofQCT,-〈△Evib〉ofexcitedC6F6aresmallerthanthoseofexperiments.

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简介：设函数f(x)=|α-2x|,α>0,x∈[0,α].设m为大于1的奇数,A_m={x|x/α=h/m,hf(x)分别包含在区间[0,α]中和集合A_m中的n-周期轨数。所得结果在研究Kaprekar问题中有重要的应用。

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简介：Inthispaper,analmostP-stabletwo-stepsixth-orderHybridmethodwithphase-lagoforderinfinityandaclassexpliciteighth-orderObreckoffmethodswithphase-lagoforder10-24aredevelopedforthenumericalintegrationofthespecialsecond-orderperiodicinitial-valueproblems.Thesemethodshavetheadvantageofhigheralgebraicorderandconsiderablysmallerphase-tagcomparedwithsomemethodsin[1-6].Numericalexamplesindicatethatthesenewmethodsaremoreaccuratethanmethodsdevelopedby[1-6].

简介：关于m次矩阵方程：X^m+a1X^m-1+…+am-1X+amEn=0，其中En是n阶单位矩阵，a1，a2，…，am∈R，X∈C^m×n，本文利用矩阵的化零多项式，最小多项式的相关结论以及Jordan标准形分解，讨论了该方程的所有可能解．

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简介：ConsideringthatKBe2BO3F2(KBBF)isanoutstandingdeepultravioletcrystalwhichcangeneratetheshortestwavelengthsinsecondharmonicgenerationandsum-frequencygeneration,wereportthedeterminationofthenonlinearopticalcoefficientsoftheKBBFcrystal.Thed11coefficientwasdeterminedtobe0.49pm/VbytheMakerfringesmethodatthewavelength1064nm,whichisinagreementwellwiththetheoreticalvalue.

简介：AmodelofcrosslinkerunbindingisimplementedinahighlycoarsegrainedgranularmodelofF-actincytoskeleton.WeemploythisspecificgranularmodeltostudythemechanismsofthecompressiveresponsesofF-actinnetworks.ItisfoundthatthecompressiveresponseofF-actincytoskeletonhasdependencyonthestrainrate.TheevolutionofdeformationenergyinthenetworkindicatesthatcrosslinkerunbindingeventscaninducetheremodellingofF-actincytoskeletoninresponsetoexternalloadings.TheinternalstressinF-actincytoskeletoncanefficientlydissipatewiththehelpofcrosslinkerunbinding,whichcouldleadtothespontaneousrelaxationoflivingcells.

简介：Westudytheconsistencyconditionsofthegeneralizedf(R)gravitybyextendingf(R)gravitywithnon-minimalcouplingtothegeneralizedf(R)witharbitrarygeometry-mattercoupling.Specifically,wediscussthetwoparticularmodelsofgeneralizedf(R)bymeansofconsistencyconditions.Itisfoundthatthesecondmodelisnotphysicallyviablesoastoberuledout.Moreover,wefurtherconstrainthefirstmodelusingtheDolgovKawasakistabilitycriterion,andgivethevaluerangesoftheparametersinthefirstmodel.Itisworthstressingthatourresultsincludetheonesinf(R)gravitywithnon-minimalcouplingasthespecialcaseofQ(L_m)=L_m.

简介：设G是一个图.设g和f是两个定义在V(G)上的整值函数使得对V(G)所有的顶点x有g(x)f(x).图G被称为(g,f,n)-临界图,如果删去G的任意n个顶点后的子图都含有G的(g,f)-因子.本文给出了图是(a,b,n)-临界图几个充分条件.进一步指出这些条件是最佳的.例如,如果对V(G)所有的顶点x和y都有g(x)＜f(x),n+g(x)dG(x)和g(x)/(dG(x)-n)f(y)/dG(y),则G是(g,f,n)-临界图.