Cap和t-blocking集合的新上界.pdf

1、湖南大學(xué)碩士學(xué)位論文Cap和tblocking集合的新上界姓名：李栗櫟申請學(xué)位級別：碩士專業(yè)：計算數(shù)學(xué)指導(dǎo)教師：曹金明20050420Cap和tblocking集合的新上界IIAbstractInthispaperweareconcernedwiththeupperboundoftblockingsetscapsinfinitedimensionalprojectivespaces.Wenotonlyimprovesomegivenre

2、sultsbutalsoprovesomenewexactvalues.Themainresultsofthispaperareinthechapter3chapter4whatwemostlyfocusonisthecapsofthechapter4.Inthechapter3westudythetblockingsetsinthePG(2q).WehaveimprovedtheBruenThastheemwhichisaboutth

3、eupperboundoftblockingsets.Inthechapter4theupperboundofthesizeofcapsisourmainresearchnamelyanewupperboundof2m(nq)inPG(nq).Toestimate2m(nq)wefirstlyestimate2m(4q)whenn=4theninduceconclusioninthePG(nq).Themethodincommonuse

4、istoestimate2m′(3q)inthefirststepthengetanewestimatedvalueof2m(4q)bythe2m′(3q).Wecalculatetheupperboundof2m(4q)directlywithmeelementarymethod.Inthebeginningofthischaptermostresultsabout2m(nq)2m′(nq)areshown.Befegivingour