Progressioihin
Progressioihin is a theoretical construct within the fictional framework of Progression Theory, used to describe transformations between sequences called progressions. A progressioihin is a mapping that takes one progression P = (p_n) to another progression Q = (q_n) while preserving a chosen invariant, such as a consistent relationship between corresponding terms or a preserved ratio of growth rates. The term is used primarily in explanatory contexts to discuss how different progressions relate to one another.
Formally, a progressioihin can be linear, affine, or nonlinear. A simple linear progressioihin has the form
Examples: Scaling a progression by a constant c is a progressioihin. Shifting every term by a fixed
Applications and scope: As a theoretical device, progressioihin helps analyze how progressions can be transformed while
See also: progression, sequence, transformation, category theory.
Notes: The term is presented here as a hypothetical construct within a fictional framework and is not