This paper proposes arithmetic and geometric Paasche quality-adjusted price indexes that combine micro data from the base period with macro data on the averages of asset prices and characteristics at the index period. The suggested index has two types of advantages relative to traditional Paasche indexes: (i) simplification and cost reduction of data acquisition and manipulation; and (ii) poten...

This course will consist of two parts with the common theme of analyzing a geometric object via geometric sub-objects which are ‘small’ in an appropriate sense. In the first half of the course, we will begin by describing the work on H. W. Lenstra, Jr., on finding generators for the unit groups of subrings of number fields. Lenstra discovered that from the point of view of computational complex...

In the research of QSAR and QSPR correlations, topological indices such as Randi’c index, Zagreb ABC geometric-arithmetic index have been proposed to analyze bio-compatibility chemical compounds. Chemical graph theory is combination Chemistry Graph theory, this deals with topology mathematical study isomerism development which has applications in QSPR. article, we consider Octahedron networks f...