Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

# Four Dimensional Circular Model To Measure Interaction Of Two Economies

Version 1 : Received: 25 April 2021 / Approved: 26 April 2021 / Online: 26 April 2021 (17:11:34 CEST)
Version 2 : Received: 3 May 2021 / Approved: 4 May 2021 / Online: 4 May 2021 (14:23:16 CEST)

How to cite: Tan, A. Four Dimensional Circular Model To Measure Interaction Of Two Economies. Preprints 2021, 2021040684 (doi: 10.20944/preprints202104.0684.v2). Tan, A. Four Dimensional Circular Model To Measure Interaction Of Two Economies. Preprints 2021, 2021040684 (doi: 10.20944/preprints202104.0684.v2).

## Abstract

In the book “Everyhing Is A Circle: A New Model For Orbits Of Bodies In The Universe”, and further in the Article “Distance Between Two Circles in Any Number of Dimensions is a Vector Ellipse”, it has been mathematically demonstrated that “distance between points on any two different circles in any number of multiple dimensions” is equivalent to “distance of points on a vector ellipse from another fixed or moving point”. Using this mathematical methodology, a method is provided in this Article as a measure for the amount of interaction between two international economies, which are two countries or economic zones, by modelling each economy in terms of a “circle in four dimensions”. Based on this method, the proximity of the two economies at the end of each fiscal period, which is generally a fiscal year, is then measured by the distance between points at the end of the given period on the two circles in four dimensions, associated with these two economies in our model.

## Supplementary and Associated Material

https://www.amazon.com/gp/product/B08PVS2FBW: Book Reference: "Everything Is A Circle: A New Model For Orbits Of Bodies In The Universe"

## Keywords

GNI; GDP; GNIpc; International Economy; Export; Import; Circle; Model

## Subject

SOCIAL SCIENCES, Economics

Comment 1
Commenter: AslıPınar Tan
Commenter's Conflict of Interests: Author
Comment: The content presented in v1 Article is identically maintained. In v2 Article, An addition/enhancement is made to the content of the v1 Article with regards to the "semi-major and semi-minor axes", "focal distance", and "eccentricity" of the vector ellipse and their interpretation in this economics context, on pages 3-4 and 10-11-12 of the v2 Article. Relevent addition is made to the end of the Conclusions, as well as the References.
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