Invariant hypersurface flows in centro-affine geometry

2021 ◽  
Author(s):  
Yun Yang ◽  
Changzheng Qu
Keyword(s):  
Affine Geometry

GEOMETRIC THEORY OF MULTIDIMENSIONAL INTERPOLATION

2020 ◽  
Vol 2020 (1) ◽  
pp. 9-16
Author(s):  
Evgeniy Konopatskiy
Keyword(s):  
Response Function ◽  
Algebraic Curves ◽  
Geometric Theory ◽  
Analytical Description ◽  
Geometric Interpretation ◽  
Affine Geometry ◽  
Mathematical Apparatus ◽  
Multidimensional Interpolation ◽  
Pass Through

The paper presents a geometric theory of multidimensional interpolation based on invariants of affine geometry. The analytical description of geometric interpolants is performed within the framework of the mathematical apparatus BN-calculation using algebraic curves that pass through preset points. A geometric interpretation of the interaction of parameters, factors, and the response function is presented, which makes it possible to generalize the geometric theory of multidimensional interpolation in the direction of increasing the dimension of space. The conceptual principles of forming the tree of the geometric interpolant model as a geometric basis for modeling multi-factor processes and phenomena are described.

scholarly journals Affine geometry having a solid as primitive.

1971 ◽  
Vol 12 (1) ◽  
pp. 1-61 ◽  
Author(s):  
Theodore F. Sullivan
Keyword(s):  
Affine Geometry

affine geometry

1971 ◽  
pp. 1-111
Author(s):  
Ernst Snapper ◽  
Robert J. Troyer
Keyword(s):  
Affine Geometry

Orthonormal gauge and affine geometry in string theory

1987 ◽  
Vol 35 (6) ◽  
pp. 2040-2042 ◽  
Author(s):  
Y. S. Myung ◽  
B. H. Cho ◽  
Young-Jai Park
Keyword(s):  
String Theory ◽  
Affine Geometry

Eclectic Illuminism: Applications of Affine Geometry

2019 ◽  
Vol 50 (2) ◽  
pp. 82-92
Author(s):  
Adam Glesser ◽  
Matt Rathbun ◽  
Isabel M. Serrano ◽  
Bogdan D. Suceavă
Keyword(s):  
Affine Geometry

The affine geometry of the Lanczos H-tensor formalism

1993 ◽  
Vol 25 (1) ◽  
pp. 55-80 ◽  
Author(s):  
K. S. Hammon ◽  
L. K. Norris
Keyword(s):  
Affine Geometry
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