OALib Journal
  OALib Journal is an all-in-one open access journal (ISSN Print: 2333-9705, ISSN Online: 2333-9721). It accepts a manuscript for the peer-review processing, typesetting, publication and then allocated to one of the 322 subject areas. The article processing charge for publishing in OALib journal is Only $99. For more details, please contact service@oalib.com. Submit now
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Jul 17, 2020Open    AccessArticle

Solving a Geometrical Locus Problem Using GeoGebra Software and Then Analytical Geometry

M. El Aydi, R. Bendaoud, M. Sbaa, M. Barkatou, M. Benhmida
In this work, intended for future teachers, we present a solution of a geometric locus problem using the GeoGebra software. This allows first to visualize the shape of the geometric locus, then to state a conjecture to validate a solution founded by analytical geometry methods. The search for a geometric locus using GeoGebra software makes the activity more attractive.
Open Access Library J. Vol.7, 2020

Dec 23, 2019Open    AccessArticle

Reverse Building of Complete (k,r)-Arcs in PG(2,q)

Mina Ghareeb Faraj, Nada Yassen Kasm
The purpose of this work is to study the construction of complete (ki,i)-arcs in PG(2,9), where i=q,9-1,...2 by eliminating points from a complete (kn,n)-arc to get a complete(km,m)-arc, where m < n. And we adopted a new sequential way to delete points [1] [2].
Open Access Library J. Vol.6, 2019

Oct 25, 2017Open    AccessArticle

On Markov Moment Problem and Mazur-Orlicz Theorem

Octav Olteanu, Janina Mihaela Mihaila
Applications of the generalization of Mazur-Orlicz theorem to concrete spaces are proved. Suitable moment problems are solved, as applications of extension theorems of linear operators with a convex and a concave constraint. In particular, a relationship between Mazur-Orlicz theorem and Markov moment problem is partially illustrated. In the end of this work, an application to the multidimensional Markov moment problem of an earlie
Open Access Library J. Vol.4, 2017

Aug 23, 2016Open    AccessArticle

The Proof of Hilbert’s Seventh Problem about Transcendence of e+π

Jiaming Zhu
We prove that eπ is a transcendental number. We use proof by contradiction. The key to solve the problem is to establish a function that doesn’t satisfy the relational expression that we derive, thereby produce a conflicting result which can verify our assumption is incorrect.
Open Access Library J. Vol.3, 2016

Mar 24, 2014Open    AccessArticle

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


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