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简介：Theaimofthisexpositionistoprovideadetaileddescriptionoftheuseofcombinatorialalgebrainquantumfieldtheoryintheplanarsetting.ParticularemphasisisplacedontherelationsbetweendifferenttypesofplanarGreen＇sfunctions.TheprimaryobjectisaHopfalgebrathatisnaturallydefinedonvariablesrepresentingnon-commutingsources,andwhosecoproductsplitsintotwohalf-coproducts.Thelattergiverisetothenotionofanunshuffiebialgebra.ThissettingallowsadescriptionoftherelationbetweenfullandconnectedplanarGreen＇sfunctionstobegivenbysolvingasimplelinearfixedpointequation.Wealsoincludeabriefoutlineoftheconsequencesofourapproachintheframeworkofordinaryquantumfieldtheory.

简介：数列是一种特殊形式的函数，有了数列的通项公式，就能把握数列的核心．求数列的通项公式是很多数列问题的关键点，数列是高中数学教学的重点，数列的通项公式直接表述了数列的本质，如同函数中的解析式一样，而求数列通项公式又是数列问题的难点，只有掌握了求数列通项公式的常用方法，才能随心所欲地处理数列问题．为此，本文系统总结了高中数学中求数列通项公式的方法．

简介：菲涅耳公式阐述了光在两种不同透明介质的分界面上,发生反射和折射现象时,反射光、折射光的振幅变化规律。本文通过对菲涅尔公式的变形处理,得到了新的表达形式,并且应用Matlab软件进行了数值模拟,使菲涅耳公式的物理意义更清晰明了。

简介：Facileproductionofhighqualityactivatedcarbonsfrombiomassmaterialshasgreatlytriggeredmuchattentionpresently.Inthispaper,aseriesofinterconnectedporouscarbonmaterialsfromlotusrootshellsbiomassarepreparedviasimplepyrolysisandfollowedbyaKOHactivationprocess.Thepreparedcarbonsexhibithighspecificsurfaceareasofupto2961m~2/gandlargeporevolume～1.47cm3/g.Inaddition,theresultantporouscarbonsservedaselectrodematerialsinsupercapacitorexhibithighspecificcapacitanceandoutstandingrecyclingstabilityandhighenergydensity.Inparticular,theirspecificcapacitanceretentionwasalmost100%after10500cyclesatacurrentdensityof2A/g.Remarkabely,theimpactofthetailoredspecificsurfaceareasofvariouscarbonsamplesontheircapacitiveperformancesissystematicallyinvestigated.Generally,itwasbelievedthatthehighly-developedporosityfeatures(includingsurfaceareasandporevolumeandporesize-distributions),togetherwiththegoodconductivityofactivatedcarbonspecies,playakeyroleineffectivelyimprovingthestorageenergyperformancesoftheporouscarbonelectrodematerialsinsupercapacitor.

简介：在分光计相关实验的基础上,借助汞灯和钠灯光源实践了光谱定标和波长测量等基本光谱分析方法,并通过进一步研究棱镜的色散曲线确定了实验所用棱镜的制作材料。

简介：通过牛顿粘滞定律和修正后的伯努利方程对非水平直圆管中黏性流体作层流运动时的流量公式进行了推导。指出将泊肃叶公式中的压强视作广义压强,则文中的推导公式与泊肃叶公式完全一致。说明泊肃叶公式可以用来求解非水平直圆管中黏性流体作层流运动时的流量。本文通过实验验证了推导公式。