简介:InthispaperL^p-L^qestimatesforthesolutionu(x,t)tothefollowingperturbedhigh-erorderhyperbolicequationareconsidered,(ρπ--a△)(ρπ--b△)u+V(x)u=O,x∈R^n,n≥6,ρ1eu(x,O)=O,ρ^3eu(x,O)=f(x),(j=O,1,2).WeassumethattheotentialV(x)andtheinitialdataf(x)arecompactlysupported,andV(x)issufficientlysmall,thenthesolutionu(x,t)oftheaboveproblemsatisfiesthesameL^p-L^qestimatesasthatoftheunperturbedproblem.
简介:以便获得对Mg-Ga二进制系统的热力学的描述,对系统的热力学的评价通过Thermo计算用CALPHAD方法被执行?软件包裹基于从出版文学的所有可得到的试验性的数据的评估。答案阶段包括液体,hcp(Mg)并且斜方晶(Ga),被代理答案模型,过量吉布斯精力与Redlich-Kister多项式被表示描述。同时,所有金属间化合的混合物,Mg5Ga2,Mg2Ga,MgGa,MgGa2和Mg2Ga5,作为stoichiometric混合物被建模。在Mg-Ga二进制系统提出各种各样的阶段的吉布斯精力的一套前後一致的热力学的参数最后被获得。好一些的协议在计算结果和报导试验性的数据之间被完成。
简介:<正>InthispaperitisprovedthatforallcompletelydistributivelatticesL.thecategoryofL-fuzzifyingtopologicalspacescanbewmbeddedinthecategoryofL-topologicalspaces(stratifiedChang-Goguenspaces)asasimultaneouslybireflectiveandbicoreflectivefullsubcategory.
简介:WeconstructaclassofintegrablegeneralizationofTodamechanicswithlong-rangeinteractions.ThesesystemsareassociatedwiththeloopalgebrasL(Cr)andL(Dr)inthesensethattheirLaxmatricescanberealizedintermsofthec=0representationsoftheaffineLiealgebrasCr(1)andDr(1)andtheinteractionspatterninvolvedbearsthetypicalcharactersofthecorrespondingrootsystems.WepresenttheequationsofmotionandtheHamiltonianstructure.Thesegeneralizedsystemscanbeidentifiedunambiguouslybyspecifyingtheunderlyingloopalgebratogetherwithanorderedpairofintegers(n,m).Itturnsoutthatdifferentsystemsassociatedwiththesameunderlyingloopalgebrabutwithdifferentpairsofintegers(n1,m1)and(n2,m2)withn2<n1andm2<m1canberelatedbyanestedHamiltonianreductionprocedure.Forallnontrivialgeneralizations,theextracoordinatesbesidesthestandardTodavariablesarePoissonnon-commute,andwheneithernorm≥3,thePoissonstructurefortheextracoordinatevariablesbecomessomeLiealgebra(i.e.theextravariablesappearlinearlyontheright-handsideofthePoissonbrackets).Inthequantumcase,suchgeneralizationswillbecomesystemswithnoncommutativevariableswithoutspoilingtheintegrability.
简介:摘要目的探讨TH糖蛋白(THP)、α1-微球蛋白(α1-MG)、β2-微球蛋白(β2-MG)与糖尿病肾病患者患病的关系。方法选取2019年1月至12月海阳市人民医院收治的糖尿病肾病患者55例作为研究组,同时选取在海阳市人民医院健康体检人群55例作为对照组。对照组男32例,女23例,年龄(71.2±1.3)岁;研究组男31例,女24例,年龄(71.5±1.3)岁。对两组人群的THP、α1-MG、β2-MG水平进行检测,分析THP、α1-MG、β2-MG与糖尿病肾病患病的关系。结果研究组THP、α1-MG、β2-MG水平分别为(34.6±4.2)mg/24 h、(28.6±2.6)mg/L、(0.9±0.3)mg/L,均高于对照组(28.5±3.5)mg/24 h、(8.7±1.8)mg/L、(0.2±0.1)mg/L,差异均有统计学意义(均P<0.05)。THP、α1-MG、β2-MG与糖尿病肾病患病呈正相关(r=0.023、0.013、0.026,均P<0.05)。结论糖尿病肾病中,可以将THP、α1-MG、β2-MG作为患者肾脏早期受损的重要指标。
简介:Weconsiderforafixedμ,theclassofpolynomialsPn,μ,s:=P(z)=zsanzn-s+n-s∑j=μan-jzn-j-s;1≤μ≤n-sofdegreen,havingallzerosin|z|≤k,k≤1,withs-foldzerosattheorigin.Inthispaper,wehaveobtainedinequalitiesinthereversedirectionfortheaboveclassofpolynomials.Besides,extensionsofsomeTuran-typeinequalitiesforthepolarderivativeofpolynomialshavebeenconsidered.