An Elementary Characterization of the Orders of Non-Abelian Groups

An Elementary Characterization of the Orders of Non-Abelian Groups

Date: 2011
Creator: Anghel, Nicolae
Description: In this article, the author presents an elementary proof of a result due to Dickson characterizing those integers n admitting non-abelian groups of order n.
Contributing Partner: UNT College of Arts and Sciences
On the Constructibility with Ruler and Compass of a Minimum Chord in a Parabola

On the Constructibility with Ruler and Compass of a Minimum Chord in a Parabola

Date: 1997
Creator: Anghel, Nicolae
Description: Article on the constructibility with ruler and compass of a minimum chord in a parabola. Abstract: In this note we give a constructive description of all the points inside a parabola admitting a minimum chord of fixed direction.
Contributing Partner: UNT College of Arts and Sciences
On a Family of Iterated Integrals

On a Family of Iterated Integrals

Date: 2013
Creator: Anghel, Nicolae
Description: This article discusses a family of iterated integrals. Abstract: In this note we generalize an iterated integral identity proposed at a Putnam competition in 1941.
Contributing Partner: UNT College of Arts and Sciences
Projecting on polynomial solutions of second order partial differential operators

Projecting on polynomial solutions of second order partial differential operators

Date: June 2007
Creator: Anghel, Nicolae
Description: This article discusses projecting on polynomial solutions of second order partial differential operators. Abstract: We extend Axler and Ramey's method of constructing the harmonic part of a homogeneous polynomial to polynomial solutions of homogeneous elliptic real second order partial differential operators with constant coefficients. The results yield a constructive solution to a Dirichlet problem with polynomial boundary data.
Contributing Partner: UNT College of Arts and Sciences
Asupra structurii grupurilor abeliene finite

Asupra structurii grupurilor abeliene finite

Date: 2007
Creator: Anghel, Nicolae
Description: In this article, the author presents a direct elementary proof to a classical result regarding the structure of finite abelian groups as products of descending cyclic groups.
Contributing Partner: UNT College of Arts and Sciences
Asupra unei probleme de loc geometric a lui A. Dafina

Asupra unei probleme de loc geometric a lui A. Dafina

Date: 2003
Creator: Anghel, Nicolae
Description: This paper generalizes a certain geometric locus problem due to A. Dafina.
Contributing Partner: UNT College of Arts and Sciences
Asupra sumelor de puteri asemenea

Asupra sumelor de puteri asemenea

Date: February 2005
Creator: Anghel, Nicolae
Description: This article addresses, from a historical perspective, Newton's sums of like powers of natural numbers.
Contributing Partner: UNT College of Arts and Sciences
Generalizarea problemei 0:59

Generalizarea problemei 0:59

Date: 1980
Creator: Anghel, Nicolae
Description: This note extends a certain combinatorics problem of I. Tomescu.
Contributing Partner: UNT College of Arts and Sciences
Sume calculabile prin serii de puteri

Sume calculabile prin serii de puteri

Date: 2004
Creator: Anghel, Nicolae
Description: This paper investigates an efficient way of evaluating sums and series, based on a result of Abel applied to associated power series.
Contributing Partner: UNT College of Arts and Sciences
Legătura dintre sumele Stieltjes şi sumele simetrice elementare

Legătura dintre sumele Stieltjes şi sumele simetrice elementare

Date: February 2012
Creator: Anghel, Nicolae
Description: This paper studies the relationship between the Stieltjes sums and the elementary symmetric sums.
Contributing Partner: UNT College of Arts and Sciences
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