Mobius Function Of A Special Kind Of Mixed Arrangement

In this thesis,we introduce some concepts, which are related to mixed arrangment, cal-culate Mo¨bius function value formula of the mixed arrangement containing several circles intwo-dimensional Euclidean space. We replenish Mo¨bius function value formula of mixedarrangement in l-dimensional Euclidean space,discuss the mixed arrangement containingone sphere in three-dimensional Euclidean space and the mixed arrangement containingseveral spheres which are in particular position in l-dimensional Euclidean space, obtaintheir Mo¨bius function value formula, which specific applications of is given.