Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge

Antonios Kanavouras; Frank Coutelieris

doi:10.33187/jmsm.691846

EN

Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge

Abstract

This work presents the synthetical mathematical analysis of available knowledge regarding physical phenomena of research interest. The work is not focusing on providing the phenomena according to the physical laws but rather because of them, hence, it is grounded on the philosophically defined concept of "similarity", and progresses to the mathematical treatments of those factors and parameters that are involved into the similarity validation among physical phenomena.A critical validation regarding the effectiveness of such an approach was also performed, in order to conceptualize the relevance of the factors and parameters interactions as a potential control tool against engineering-based hypothesis. Such factors and parameters are generated through the description and delimitation of the system of interest. A "matrix" is used for the classification of the existing knowledge regarding this system. It is consisted of the categorical descriptors of the system in question and the levels of these descriptors.A mathematical analysis of this "matrix" supports that all the existent perceptions of a physical phenomenon constitute a four-dimensional vector space. Within this space, the concept of similarity allows for the definition on which of a specific non-linear mapping that might be applied to strictly classify the existing knowledge about the phenomenon in question.Similarity is used here to define the conditions and the constrains that this mapping must satisfy. In conclusion, the applicability of the suggested approach on an engineering approach regarding a physical problem, was also demonstrated in this study.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Antonios Kanavouras This is me
0000-0003-1429-169X
Greece

Frank Coutelieris ^*
0000-0002-5998-2235
Greece

Publication Date

August 31, 2020

Submission Date

February 20, 2020

Acceptance Date

August 31, 2020

Published in Issue

Year 2020 Volume: 3 Number: 2

DOI

https://doi.org/10.33187/jmsm.691846

IZ

https://izlik.org/JA75NC47HH

APA

Kanavouras, A., & Coutelieris, F. (2020). Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge. Journal of Mathematical Sciences and Modelling, 3(2), 47-54. https://doi.org/10.33187/jmsm.691846

AMA

1.Kanavouras A, Coutelieris F. Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge. Journal of Mathematical Sciences and Modelling. 2020;3(2):47-54. doi:10.33187/jmsm.691846

Chicago

Kanavouras, Antonios, and Frank Coutelieris. 2020. “Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge”. Journal of Mathematical Sciences and Modelling 3 (2): 47-54. https://doi.org/10.33187/jmsm.691846.

EndNote

Kanavouras A, Coutelieris F (August 1, 2020) Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge. Journal of Mathematical Sciences and Modelling 3 2 47–54.

IEEE

[1]A. Kanavouras and F. Coutelieris, “Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge”, Journal of Mathematical Sciences and Modelling, vol. 3, no. 2, pp. 47–54, Aug. 2020, doi: 10.33187/jmsm.691846.

ISNAD

Kanavouras, Antonios - Coutelieris, Frank. “Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge”. Journal of Mathematical Sciences and Modelling 3/2 (August 1, 2020): 47-54. https://doi.org/10.33187/jmsm.691846.

JAMA

1.Kanavouras A, Coutelieris F. Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge. Journal of Mathematical Sciences and Modelling. 2020;3:47–54.

MLA

Kanavouras, Antonios, and Frank Coutelieris. “Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge”. Journal of Mathematical Sciences and Modelling, vol. 3, no. 2, Aug. 2020, pp. 47-54, doi:10.33187/jmsm.691846.

Vancouver

1.Antonios Kanavouras, Frank Coutelieris. Similarity Among Physical Phenomena Recognized on the Basis of the Classification of Existing Knowledge. Journal of Mathematical Sciences and Modelling. 2020 Aug. 1;3(2):47-54. doi:10.33187/jmsm.691846