Generalized Analytical Method (GAM) Based on the Generalized Coordinate System (GCS)

This paper introduces the concept of the generalized coordinate system, which is a coordinate system composed of generalized coordinates C, including analytical object O, analytical feature F, and analytical result Res = (S,Q,X), where S, Q, and X respectively denote qualitative characteristic, quantitative characteristic, and knowledge formulation. The Generalized Analytical Method (GAM) proposed in this paper, GAM = (LA,CA), is an analytical method for obtaining analytical results from an analytical object. GAM takes analytical feature F as the analytical entry, concrete analytical content F_ij as the analytical position, and local analytical method LA and cross analytical method CA as the core analytical operations. LA unfolds within a single analytical feature, while CA establishes relations between different analytical features. GAM is intended to provide a more general analytical framework within which traditional research methods can serve as selectable implementation pathways for completing concrete analytical contents.