Abstract
The paper introduces the interpretation of Analysis of Finite Fluctuations as an approach to Mathematical Remodeling. Fitting based on a given multivariable function a new function, connecting the response fluctuation with the fluctuations of its arguments, refers to Mathematical Remodeling problems and is a standard problem in Mathematical Analysis, which is usually solved approximately under the assumption of smallness of fluctuations. Some important applications have identified an importance of mathematical problems to represent finite (generally speaking, not small) fluctuations of a function (response) via finite fluctuations of its arguments. The way to solve the problem in this current formulation comes from classical Mathematical Analysis in the form of Lagrange and Bonnet theorems, operating with finite fluctuations.
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