Introduction to Cartesian Geometry and Cartesianization of Complex Shapes

Nourddin Saidou

doi:doi:10.11648/j.mcs.20190404.12

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Introduction to Cartesian Geometry and Cartesianization of Complex Shapes

Nourddin Saidou

Published in Mathematics and Computer Science (Volume 4, Issue 4)

Received: 24 December 2018 Accepted: 16 January 2019 Published: 17 October 2019

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Abstract

The Cartesian word or “Cartesianity” was born with the philosophy of Descart (1596 - 1650). He was at the base of a doctrine based on rationalism, that it is means the search for truth by reason. Among others, Sigmend Freud had also approached this notion of psychological point to study the enigma of thoughts in humans. Other aspects of the Cartesian word have been used in mathematical geometry, namely cartesian coordinates and Cartesian referentials. As you know, studying a shape with curved and enclosed borders is more complicated than working on shapes with linear borders without curvature. In the way, we will introduce to the Cartesian geometry and characterize he Cartesian shapes.

Published in	Mathematics and Computer Science (Volume 4, Issue 4) This article belongs to the Special Issue Mathematical Modeling for Geometrical Optimization
DOI	10.11648/j.mcs.20190404.12
Page(s)	84-88
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Cartesian Shapes, Polytopes, Banach Spaces, Convex Sets

References

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[5]	J. Crovisier, Albert Badoureau, math´ematicien oubli´e, Quadrature 66 (2007) 15–19.
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[7]	A. ARNAUDIES et BERTIN, Groupes, alg`ebres et g´eom´etrie, Paris, Ellipses, 1993, tome1.
[8]	A. AUDIN Mich`ele, G´eom´etrie, 1998.
[9]	C. COXETER H. S. M, Regular Polytopes, New York, Dover Publications Inc., 1973.
[10]	Collier, J. B. (1976). The dual of a space with the Radon-Nikodymproperty. Pacific J. Math, 64 (1), 103-106.
[11]	Dragomir, S. S., &Pearce, C. E. (1998). Quasi-convex functions and Hadamard’s inequality. Bulletin of the Australian Mathematical Society, 57 (3), 377-385.
[12]	Godefroy, G. (1987). Boundaries of a convex set and interpolation sets. Mathematische Annal en, 277 (2), 173-184.
[13]	Huff, R. E. Morris, P. D. (1975). Geometric characterizations of Radon- Nikodym proprety. In: Notices of the American Mathematical Society. 201 Charles ST, Providence, RI 02940-2213: Amer Mathematical Soc, p. A15-A15.
[14]	Kutateladze, S. S., &Rubinov, A. M. (1972). Minkowski duality and its applications. Russian Mathematical Surveys, 27 (3), 137-191.
[15]	Victor Emmanuel Brunel. Non parametric estimation of convex bodies and convex polytopes General Mathematics [math. GM]. Université Pierre et Marie Curie - Paris VI -2015.
[16]	Victor-Emmanuel Brunel. Concentration of the empirical level sets of Tukey’s halfspace depth Probability Theory and Related Fields, 2016 - Springer.
[17]	David Alons . Gutiérrez, Joscha Prochno. On the geometry of random convex sets between polytopes and zonotopes. (Submitted on 31 Jul 2016 (v1), last revised. Math. MG. 5 Jan 2017.
[18]	Labrini Hioni and Antonis Tsolomitis. Asymptotic shape of the convex hull of isotropic log-concave random vectors Apostolos Giannopoulos, Math. MG 4 Jan 2016.

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Nourddin Saidou. (2019). Introduction to Cartesian Geometry and Cartesianization of Complex Shapes. Mathematics and Computer Science, 4(4), 84-88. https://doi.org/10.11648/j.mcs.20190404.12

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Nourddin Saidou. Introduction to Cartesian Geometry and Cartesianization of Complex Shapes. Math. Comput. Sci. 2019, 4(4), 84-88. doi: 10.11648/j.mcs.20190404.12

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Nourddin Saidou. Introduction to Cartesian Geometry and Cartesianization of Complex Shapes. Math Comput Sci. 2019;4(4):84-88. doi: 10.11648/j.mcs.20190404.12

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@article{10.11648/j.mcs.20190404.12,
  author = {Nourddin Saidou},
  title = {Introduction to Cartesian Geometry and Cartesianization of Complex Shapes},
  journal = {Mathematics and Computer Science},
  volume = {4},
  number = {4},
  pages = {84-88},
  doi = {10.11648/j.mcs.20190404.12},
  url = {https://doi.org/10.11648/j.mcs.20190404.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20190404.12},
  abstract = {The Cartesian word or “Cartesianity” was born with the philosophy of Descart (1596 - 1650). He was at the base of a doctrine based on rationalism, that it is means the search for truth by reason. Among others, Sigmend Freud had also approached this notion of psychological point to study the enigma of thoughts in humans. Other aspects of the Cartesian word have been used in mathematical geometry, namely cartesian coordinates and Cartesian referentials. As you know, studying a shape with curved and enclosed borders is more complicated than working on shapes with linear borders without curvature. In the way, we will introduce to the Cartesian geometry and characterize he Cartesian shapes.},
 year = {2019}
}

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TY  - JOUR
T1  - Introduction to Cartesian Geometry and Cartesianization of Complex Shapes
AU  - Nourddin Saidou
Y1  - 2019/10/17
PY  - 2019
N1  - https://doi.org/10.11648/j.mcs.20190404.12
DO  - 10.11648/j.mcs.20190404.12
T2  - Mathematics and Computer Science
JF  - Mathematics and Computer Science
JO  - Mathematics and Computer Science
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EP  - 88
PB  - Science Publishing Group
SN  - 2575-6028
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AB  - The Cartesian word or “Cartesianity” was born with the philosophy of Descart (1596 - 1650). He was at the base of a doctrine based on rationalism, that it is means the search for truth by reason. Among others, Sigmend Freud had also approached this notion of psychological point to study the enigma of thoughts in humans. Other aspects of the Cartesian word have been used in mathematical geometry, namely cartesian coordinates and Cartesian referentials. As you know, studying a shape with curved and enclosed borders is more complicated than working on shapes with linear borders without curvature. In the way, we will introduce to the Cartesian geometry and characterize he Cartesian shapes.
VL  - 4
IS  - 4
ER  -

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Author Information

Nourddin Saidou

Departement of Mathematics, INSA Euromed University, Fès, Morocco

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Nourddin Saidou. (2019). Introduction to Cartesian Geometry and Cartesianization of Complex Shapes. Mathematics and Computer Science, 4(4), 84-88. https://doi.org/10.11648/j.mcs.20190404.12

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ACS Style

Nourddin Saidou. Introduction to Cartesian Geometry and Cartesianization of Complex Shapes. Math. Comput. Sci. 2019, 4(4), 84-88. doi: 10.11648/j.mcs.20190404.12

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AMA Style

Nourddin Saidou. Introduction to Cartesian Geometry and Cartesianization of Complex Shapes. Math Comput Sci. 2019;4(4):84-88. doi: 10.11648/j.mcs.20190404.12

Copy | Download

@article{10.11648/j.mcs.20190404.12,
  author = {Nourddin Saidou},
  title = {Introduction to Cartesian Geometry and Cartesianization of Complex Shapes},
  journal = {Mathematics and Computer Science},
  volume = {4},
  number = {4},
  pages = {84-88},
  doi = {10.11648/j.mcs.20190404.12},
  url = {https://doi.org/10.11648/j.mcs.20190404.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20190404.12},
  abstract = {The Cartesian word or “Cartesianity” was born with the philosophy of Descart (1596 - 1650). He was at the base of a doctrine based on rationalism, that it is means the search for truth by reason. Among others, Sigmend Freud had also approached this notion of psychological point to study the enigma of thoughts in humans. Other aspects of the Cartesian word have been used in mathematical geometry, namely cartesian coordinates and Cartesian referentials. As you know, studying a shape with curved and enclosed borders is more complicated than working on shapes with linear borders without curvature. In the way, we will introduce to the Cartesian geometry and characterize he Cartesian shapes.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Introduction to Cartesian Geometry and Cartesianization of Complex Shapes
AU  - Nourddin Saidou
Y1  - 2019/10/17
PY  - 2019
N1  - https://doi.org/10.11648/j.mcs.20190404.12
DO  - 10.11648/j.mcs.20190404.12
T2  - Mathematics and Computer Science
JF  - Mathematics and Computer Science
JO  - Mathematics and Computer Science
SP  - 84
EP  - 88
PB  - Science Publishing Group
SN  - 2575-6028
UR  - https://doi.org/10.11648/j.mcs.20190404.12
AB  - The Cartesian word or “Cartesianity” was born with the philosophy of Descart (1596 - 1650). He was at the base of a doctrine based on rationalism, that it is means the search for truth by reason. Among others, Sigmend Freud had also approached this notion of psychological point to study the enigma of thoughts in humans. Other aspects of the Cartesian word have been used in mathematical geometry, namely cartesian coordinates and Cartesian referentials. As you know, studying a shape with curved and enclosed borders is more complicated than working on shapes with linear borders without curvature. In the way, we will introduce to the Cartesian geometry and characterize he Cartesian shapes.
VL  - 4
IS  - 4
ER  -

Copy | Download