简介：Inthispaper,analgorithmthatdeterminesarealalgebraiccurveisoutlined.Itsbasicstepistodividetheplaneintosubdomain1sthatincludeonlysimplebranchesofthealgebraiccurvewithoutsingularpoints.Eachofthebranchesisthenstablyandefficientlytracedintheparticularsubdomain.Exceptfortracing,thealgorithmrequiresonlyacoupleofsimpleoperationsonpoly-nomialsthatranbecarriedoutexacrlyifthecoefficientsarerational,andthedeterminationoftherealrootsofseveralunivariatepolynomials.

简介：Thispaperpresentsafundamentalgaskineticstudyonhighspeedrarefiedjetsexpandingintovacuumfromaclusterofplanarexits.Basedonthecorrespondingexactexpressionsforoneplanarjet,thispaperstraightforwardlyderivesthecombinedmultiplejetflowfieldsolutionsofdensityandvelocitycomponents,however,forthecombinedtemperatureandpressuresolutions,extraattentionshallbepracticed.SeveraldirectsimulationMonteCarlosimulationresultsareprovidedandtheyvalidatetheseanalyticalsolutionsofrarefiedplanarjetflows.

简介：Theauthorsinvestigatetheglobalpropertiesofgeneralautonomoussystemsontheplaneandestablishcriteriaforthenonexistence,existenceanduniquenessoflimitcycles.Asapplicationexamples,thelimitcyclesforsomepolynomialsystemsarestudied.

简介：Thisnoteshowsthatthenumberofrootedcubicplanarmaps(loopsandmulti-edgesareallowed)with2n-3non-root-vertices,n≥3,is

简介：Thestudyofhyperbolicgraphsisaninterestingtopicsincethehyperbolicityofageodesicmetricspaceisequivalenttothehyperbolicityofagraphrelatedtoit.Themainresultinthispaperisaverysimplecharacterizationofthehyperbolicityofalargeclassofperiodicplanargraphs.

简介：Controlinvariantsetsplayakeyroleinmodelpredictivecontrol.UsingLyapunovfunction,atechniqueisproposedtodesigncontrolinvariantsetsofplanarsystemsinapreciseform.First,itisdesignedforalinearsysteminBrunovskycanonicalform.Then,theresultisextendedtogenerallinearsystems.Finally,thenonlinearcontrolsystemsareconsidered,andsomesufficientconditionsanddesigntechniquesarealsoobtained.Numericalexamplesarepresentedtoillustratetheproposeddesignmethods.

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简介：在一张连接图和它的相应的平面图之间的关系简短被考察。一个必要、足够的条件被给检测一张平面图什么时候对应于结。在平面图和几乎平面的Seifert表面之间的关系被讨论。用平面图，我们与为任何偶数n穿过数字n构造轮流出现的amphicheiral素数结4。这在Kirby的问题表上把一个肯定答案给问题1.66(B)。

简介：在现在的纸，有直径二一reclassified的常规平面图。

简介：Byanalyzingandcomputing,accordingtothewavetheoryofplanaropticalwaveguideattenuation,anewopinionisputforward.Aseriesoftransmissionatteenuationwithwaveguidefilm-thicknessaregivenanditillustratesthatopticaltransmissionisnotcarryingoutefficientlywithinsomewaveguidefilm-thickness.

简介：如果任何二个颜色班的顶点导致的图是顶点拆散路径的联合，图G的合适的顶点着色是线性的。图G的线性色彩的数字lc(G)是在G的线性着色的颜色的最小的数字。在这份报纸，有尺寸g和最大的度的每平面图G有，这被证明(1)lc(G)+21如果9；(2)$lc(G)\leqslant\left\lceil{\tfrac{\Delta}{2}}\right\rceil+7$lc(G)\leqslant\left\lceil{\tfrac{\Delta}{2}}\right\rceil+7如果g5；(3)$lc(G)\leqslant\left\lceil{\tfrac{\Delta}{2}}\right\rceil+2$lc(G)\leqslant\left\lceil{\tfrac{\Delta}{2}}\right\rceil+2如果g7和7。

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

简介：Thesufficientconditionfortheexistenceofnon-constantperiodicsolutionsofthefollowingplanarsystemwithfourdelaysareobtained:

简介：Positionalerroroflinesegmentsisusuallydescribedbyusing'g-band',however,itsbandwidthisinrelationtotheconfidencelevelchoice.Infact,givendifferentconfidencelevels,aseriesofconcentricbandscanbeobtained.Toovercometheeffectofconfidencelevelontheerrorindicator,byintroducingtheunionentropytheory,weproposeanentropyerrorellipseindexofpoint,thenextendittolinesegmentandpolygon,andestablishanentropyerrorbandoflinesegmentandanentropyerrordonutofpolygon.Theresearchshowsthattheentropyerrorindexcanbedetermineduniquelyandisnotinfluencedbyconfidencelevel,andthattheyaresuitableforpositionaluncertaintyofplanargeometryfeatures.

简介：Therearemanyphenomenathatgeneratepolygonaltessellationsonsurfacesof3Dobjects.Oneinterestingexampleisthejackfruit,amultiplefruitfoundinthetropics.Arecentstudyfoundthebest-fitsphericalVoronoidiagramfromaphotoofjackfruitskin,buttheoptimizationwasrelativetotheradiusofthesphereandtheheightofthespikes.Inthisstudy,weproposeamethodforadjustingthepositionofthecenterofthesphereinadditiontotheseparameters.Experimentswereconductedusingbothidealandrealdata.However,convergencewithrealdatahasnotbeenconfirmedduetorelaxationoftheconvergencecondition.

简介：这篇论文论述平面纤维布拉格栅栏(FBG)水中听音器探查察觉到原则，并且理论上并且试验性地研究探查结构敏感，收到的敏感频率反应特征和加速反应性质。平面表用不锈钢做的，它的厚度是0.15公羊，它的直径是空圆形的壳的15mm，和长度是20公羊。为结构的这种尺寸，探查结构敏感直到23fm/Pa，它是大约7300次赤裸的纤维的价值。回声频率是6.5kHz，和反应是的收到的敏感的振幅频率曲线相对在到5.5kHz的100Hz的频率范围以内的命令。一单位加速(1m/s2)产出的产量等价于(2.52～3.26Pa)声学的压力代理输出。这探查结构是容易的由multiplexingtechnique.The研究表演形成FBG水中听音器数组这平面结构能不仅形成FBG水中听音器探查，而且能组成光FBG激光水中听音器探查。结构能认识到不同带宽，不同范围由调整表的几何尺寸的声学的压力测量。

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简介：Wetheoreticallyinvestigatetheclassicalanalogofelectromagneticallyinducedtransparency(EIT)andelectromagneticallyinducedabsorption(EIA)inaplanarmetamaterialatopticalfrequency,whichoriginatesfromdestructiveandconstructiveinterferencebetweendarkandradiativeelements.Themetamaterialconsistsoftwocoupledresonatorswithdifferentgeometries.AnEIT-liketransparentwindowwithlowabsorptionisobservedandfoundtobestronglya?ectedbyresonantstatesoftheresonators.ThetransitionbetweentheEITandEIAisachievedbychangingthesplitwidthandcouplingdistance.Theabsorptionisenhancedupto2.5timescomparedwiththedipolarcase.TheexcitationofthedarkmodeisveryimportantforEIT-andEIA-likeresponsesoftheproposedmetamaterial.TheEITandEIAphenomenao?erapotentialmethodformanipulatingelectromagneticresponseinmetamaterial-baseddevices.

简介：Anovellow-cost4-elementplanararrayantennadirectlyfedbyacoaxialcableforUltra-WideBand(UWB)applicationispresented.Theproposedantennaconsistsof2×2bowtieelementsandasimple1:4powerdividerfeedingnetwork.Comparedtothebasicbowtieelement,theimpedancebandwidthofthearrayantennahasasignificantimprovementthatthelowcut-offfrequencyisextendedfrom6GHzofthebowtieelementto2GHz.Themeasuredresultsshowthattheproposedantennahasalargebandwidthof2GHzto11GHzforVoltageStandingWaveRatio(VSWR)<2,andexhibitsabidirectionalradiationpatternandamodestgainacrosstheoperatingbandandapeakgainofabout9dBiat11GHz.