Elements of Cartesian Analysis in Saidou Spaces
Author
Source
General Letters in Mathematics
Issue
Vol. 10, Issue 1 (31 Mar. 2021), pp.1-10, 10 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2021-03-31
Country of Publication
Jordan
No. of Pages
10
Main Subjects
Abstract EN
mong the various aspects of mathematics that have contributed to functional analysis, we must underline the convex analysis, a branch that has had fertile tracks in analytical and even geometric forms.It will be shown that convex analysis and Cartesian analysis coincide in particular cases, but generally they are different.
We have to denote that this geometry will be a generalization of the polyhedron and polytopes in affine spaces, see[5],[6].
The regular polytopes and polyhedron are convex sets but cartesian sets are the union not necessery convex of manuy polytops see Figure4 below.
After defining and characterizing this new notion, you will realize how this track would open interesting doors in the field of the applications of mathematics for the benefit of applied sciences, like medicine, physics, engineering,economics and even sociology.We will give an original definition of a Cartesian set and then to define a locally cartesian topology whichcalled Saidou Space.
At the last part of this paper we start the main studie of this paper which is to define a new kind of functions and caracterize the relationship between the cartesian topology and the cartesianfunctions by doing a functional analysis.
This is to prepare the elements for the optimization of cartesianproblems for futur works.
American Psychological Association (APA)
Saidou, Nourrdin. 2021. Elements of Cartesian Analysis in Saidou Spaces. General Letters in Mathematics،Vol. 10, no. 1, pp.1-10.
https://search.emarefa.net/detail/BIM-1430450
Modern Language Association (MLA)
Saidou, Nourrdin. Elements of Cartesian Analysis in Saidou Spaces. General Letters in Mathematics Vol. 10, no. 1 (2021), pp.1-10.
https://search.emarefa.net/detail/BIM-1430450
American Medical Association (AMA)
Saidou, Nourrdin. Elements of Cartesian Analysis in Saidou Spaces. General Letters in Mathematics. 2021. Vol. 10, no. 1, pp.1-10.
https://search.emarefa.net/detail/BIM-1430450
Data Type
Journal Articles
Language
English
Notes
Text in English ; abstracts in .
Record ID
BIM-1430450