15 citations · 51 across the 14 of their papers we have counts for
15 papers
Vector Invariance and Structural Closure of Julia-Type Iterations in Clifford Algebra
Orgest Zaka
In this paper, we introduce a Clifford algebra framework for Julia-type dynamics driven by the geometric product. The nonlinear iteration \[ f(\vec{x}) = (\vec{x}\diamond \vec{n})^…
Four cross-ratio maps sets of Points and their Algebraic Structures in a line on Desargues Affine Plane
Orgest Zaka
This paper introduces advances in the geometry of the transforms for cross ratio of four points in a line in the Desargues affine plane. The results given here have a clean, based…
Laplace Method for calculate the Determinant of cubic-matrix of order 2 and order 3
Orgest Zaka, Armend Salihu
In this paper, in continuation of our work, on the determinants of cubic -matrix of order 2 and order 3, we have analyzed the possibilities of developing the concept of determinant…
The Determinant of Cubic-Matrix of order 2 and order 3: Some basic Properties and Algorithms
Armend Salihu, Orgest Zaka
Based on geometric intuition, in this paper we are trying to give an idea and visualize the meaning of the determinants for the cubic-matrix. In this paper we have analyzed the pos…
Invariant and Preserving Transforms for Cross Ratio of 4-Points in a line on Desargues Affine Plane
Orgest Zaka, James F. Peters
This paper introduces advances in the geometry of the transforms for cross ratio of four points in a line in the Desargues affine plane. The results given here have a clean, based…
Computing efficiently the weighted greatest common divisor
Orgest Zaka
In this paper we included some basic properties for weighted greatest common divisors, and discuss how to speed up computing the weighted greatest common divisor. By ordering the '…
Cross Ratio Geometry Advances for Four Co-Linear Points in the Desargues Affine Plane-Skew Field
Orgest Zaka, James F. Peters
This paper introduces advances in the geometry of the cross ratio of four co-linear points in in the Desargues affine plane. The cross-ratio of co-linear points of a skew field in…
Progress in Invariant and Preserving Transforms for the Ratio of Co-Linear Points in the Desargues Affine Plane Skew Field
Orgest Zaka, James F. Peters
This paper introduces invariant transforms that preserve the ratio of either two or three co-linear points in the Desargues affine plane skew field. The results given here have a c…
Advances in the Geometry of the Ratio of Linear Points in the Desargues Affine Plane Skew Field
Orgest Zaka, James F. Peters
This paper introduces advances in the geometry of the ratio of either two or three points in a line in the Desargues affine plane, and we see this as a ratio of elements of skew fi…
Skew-Field of Trace-Preserving Endomorphisms, of Translation Group in Affine Plane
Orgest Zaka
In this paper we will show how to constructed an Skew-Field with trace-preserving endomorphisms of the affine plane. Earlier in my paper, we doing a detailed description of endomor…
The Endomorphisms Algebra of Translations Group and Associative Unitary Ring of Trace-Preserving Endomorphisms in Affine Plane
Orgest Zaka
This paper introduces a description of Endomorphisms of the translation group in an affine plane, will define the addition and composition of the set of endomorphisms and specify t…
Ordered Line and Skew-Fields in the Desargues Affine Plane
Orgest Zaka, James F. Peters
This paper introduces ordered skew fields that result from the construction of a skew field over an ordered line in a Desargues affine plane. A special case of a finite ordered ske…
The general linear group of degree for D matrices
Orgest Zaka
In this article we give the meaning of the determinant for 3D matrices with elements from a field F, and the meaning of 3D inverse matrix. Based on my previous work titled '3D Matr…
Isomorphic-Dilations of the skew-fields constructed over parallel lines in the Desargues affine plane
Orgest Zaka, James F. Peters
This paper considers dilations and translations of lines in the Desargues affine plane. A dilation of a line transforms each line into a parallel line whose length is a multiple of…
The Transform of a line of Desargues Affine Plane in an additive Group of its Points
Orgest Zaka, Kristaq Filipi
In this paper we present a set transformation of points in a line of the Desargues affine plane in a additive group. For this, the first stop on the meaning of the Desargues affine…