Mathematical structure for accumulations given by integration

Abstract

Abstract The structure presented here is very much applicable in ignoring unexpected variations that would hamper identifying general behavior corresponding to an accumulation. UnGHUSLQQLQJ FRQFHSW SUHYDLOV LQ ³DOPRVW HYHU\ZKHUH´ IDFW ZKLFK DVVRFLDWHV ZLWK Lebesgue measure. The structural context is in fundamental nature, where further mathematical theories on curve fitting, cardinality of sets, non-smooth analysis and interval partitioning can be incorporated