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May 15, 2017Open    Access

3D Matrix Ring with a “Common” Multiplication

Orgest ZAKA
In this article, starting from geometrical considerations, he was born with the idea of 3D matrices, which have developed in this article. A problem here was the definition of multiplication, which we have given in analogy with the usual 2D matrices. The goal here is 3D matrices to be a generalization of 2D matrices. Work initially we started with 3×3×3 matrix, and then we extended to m×n×matrices. In this article, we give the meaning of 3D matrices. We als...
Open Access Library J.   Vol.4, 2017
Doi:10.4236/oalib.1103593


Jun 24, 2015Open    Access

On the Imaginary Geometry

Abdullah Kurudirek, Huseyin Akca
In this paper, we have aimed at showing the available set of points of Lobachevsky axiom by the help of Euclidean plane (As it is known, an Euclidean plane, which is a flat surface with no thickness, extends forever to all directions.), especially on behalf of broadening the horizons in geo- metry education of high school students.
Open Access Library J.   Vol.2, 2015
Doi:10.4236/oalib.1101433


Feb 12, 2015Open    Access

On the Concept of Circle and Angle in Galilean Plane

Abdullah Kurudirek, Hüseyin Akca
In this paper, we try to show what some basic definitions like angle and circle which are taught in Euclidean plane at secondary and high schools, mean in Galilean plane. Furthermore we try and target to introduce the results of angle and circle concepts, comparing different situations of the same definitions in Galilean and Euclidean planes.
Open Access Library J.   Vol.2, 2015
Doi:10.4236/oalib.1101256


Aug 19, 2014Open    Access

Effect of Acid, Base and Time on Different Brands of Glimepiride

Safila Naveed, Hina Qamar, Wardha Jawaid, Urooj Bokhari

The objective of this study is to develop the degradation studies of different brands of glimepiride available in market. Forced degradation is a powerful tool used routinely in pharmaceutical development in order to develop stability-indicating methods that lead to quality stability data and to understand the degradation pathways of the drug substances and drugs. Glimepiride is a medium- to long-acting sulfonylurea antidiabetic drug as it is the most prescribed oral antih

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Open Access Library J.   Vol.1, 2014
Doi:10.4236/oalib.1100744


Mar 24, 2014Open    Access

On Convexity and Approximating the Perimeter of an Ellipse

Octav Olteanu
In the first part of this work, a convex partition of a compact subset is constructed. Minimum-length surrounding curve and minimum-area surrounding surfaces for a compact set are constructed too. In the second part, one writes the perimeter of an ellipse as the sum of an alternate series. On the other hand, we deduce related “sandwich” inequalities for the perimeter, involving Jensen’s inequality and logarithmic function respectively. We discuss the values of the ordinate of the gravity center ...
Open Access Library J.   Vol.1, 2014
Doi:10.4236/oalib.1100332


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