Nonlinearity and linearity, friends or enemies? Algebraic Analyzation of Science:)

TL;DR

This paper explores the relationship between linearity and nonlinearity in mathematical analysis, proposing new algebraic structures and operator-valued functions to better understand equations involving n-point information.

Contribution

It introduces novel algebraic tools and operator-valued functions for analyzing equations related to n-point information, advancing the theoretical framework.

Findings

Proposes new operator-valued functions for n-point information analysis

Introduces alternative generating structures beyond traditional functionals

Discusses the interplay of linearity and nonlinearity in mathematical functions

Abstract

Certain operator-valued functions and new generating structures (instead of generating functionals) are proposed for the analysis of equations for n-point information (n-pi). Some remarks are made concerning the intertwining of linearity and nonlinearity, and functions defined on non-numerical objects.