一個有關(guān)四維多胞形面向量的問題.pdf

1、河北師范大學碩士學位論文一個有關(guān)四維多胞形面向量的問題姓名：董梅申請學位級別：碩士專業(yè)：基礎(chǔ)數(shù)學指導教師：丁仁20071204目錄ABSTRACrThec∞qlVeXhullofanowempty缸№setofpointsinthedPdimensianalrealEuclidcanspaceI—iscalleda∞Ⅱv旺polytope(or如lytop∞LetPbeaddin∞nsionalpolytopc，andletf／deno

2、tethenmnbetofidimensionalfacesofP，wherei=0，1，2，，dFord21theddimensionalvoctor(，0(P)，五(P)，，歹01(P))iscalledthe／vectorotPInthestudyoffvectorsoneofthemostfundamentalproblemsishowtocharacterizefvectorthatiswhatisthenecessaryan

3、dsufficientconditionforanordereddtupletobeafvectorofaddimensionalpolytopewheretheordereddmplereferstoadtupleconsistingofdnonnegativeintegersFord=3thefamousSteini乜Theoremcharacterizcsthe3dimansionalpvectorandprovidesanece

4、ssaryandsufficientconditionforanordered3mple(／0，^，五)tobeafvectorofa3dimensionalpolytopeThestudyoffvectorshashadhugeSUCA3eSSeSinthelastfortyyearsNeveI_theless，littleprogresswasmadeOnsomefundamentalproblems，amongwhichisthe

5、problemOnhowtochalac—erizea4dimensionalfvector(而，^，止，厶)Thetractablestudyabout(fo，，l，，2，f3)focusesmainlyOnthediscussionof2dimensionalprojections(^，辦)of(／o，^，，2，，3)Inthepresentpapertherelatedbasicconceptsaleexpoundedsystem

6、atieaUysome靜sultsinthestudyoffvectoralesurveyed，and(^，^)the2dimomionalprojectionsof(，0，^，，2，^)altodiscussedfurtherandsomerelativelycompleteresultsa地obtainedby世jngdualityKeywords：convexhullaffinehullconvexpolytope，dualpol