An abstract index theorem on non-compact Riemannian manifolds (open access)

An abstract index theorem on non-compact Riemannian manifolds

Article on an abstract index theorem on non-compact Riemannian manifolds.
Date: 1993
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Asupra structurii grupurilor abeliene finite (open access)

Asupra structurii grupurilor abeliene finite

Article presenting a direct elementary proof to a classical result regarding the structure of finite abelian groups as products of descending cyclic groups.
Date: 2007
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Asupra sumelor de puteri asemenea (open access)

Asupra sumelor de puteri asemenea

Article addressing, from a historical perspective, Newton's sums of like powers of natural numbers.
Date: February 2005
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Asupra unei probleme de loc geometric a lui A. Dafina (open access)

Asupra unei probleme de loc geometric a lui A. Dafina

Article generalizing a certain geometric locus problem due to A. Dafina.
Date: 2003
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Curvature Bundle Morphisms for Hypersurface Generalized Dirac Operators (open access)

Curvature Bundle Morphisms for Hypersurface Generalized Dirac Operators

This article establishes uses a Gauss-like relationship to examine how the curvature bundle morphisms relate.
Date: 2016
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
O demonstratie directă a faptului că L1 (X, B, μ) verifică principiul tare al maximului modulului (open access)

O demonstratie directă a faptului că L1 (X, B, μ) verifică principiul tare al maximului modulului

Article proposing a new direct proof of the fact that L^1 verifies the strong maximum principle, i.e., any analytic map from the complex unit disk into L^1, constant in norm, must be constant.
Date: 1989
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Determinant Identities and the Geometry of Lines and Circles (open access)

Determinant Identities and the Geometry of Lines and Circles

This article focuses on the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Date: October 20, 2015
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
An elementary characterization of the orders of non-abelian groups (open access)

An elementary characterization of the orders of non-abelian groups

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.
Date: 2011
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
The essential uniqueness of the Connes-Morley theorem (open access)

The essential uniqueness of the Connes-Morley theorem

Article on the essential uniqueness of the Connes-Morley theorem.
Date: 2006
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
O generalizare a problemei piesei de 5 lei a lui Ţiţeica (open access)

O generalizare a problemei piesei de 5 lei a lui Ţiţeica

The '5 lei coin' problem of Titeica is generalized to circles of arbitrary radii.
Date: 2012
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Generalizarea problemei 0:59 (open access)

Generalizarea problemei 0:59

This note extends a certain combinatorics problem of I. Tomescu.
Date: 1980
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
An inductive proof of the Cayley-Hamilton theorem (open access)

An inductive proof of the Cayley-Hamilton theorem

In this article, the author investigates a computational proof of the Cayley-Hamilton theroem, based on induction.
Date: July 2014
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Legătura dintre sumele Stieltjes şi sumele simetrice elementare (open access)

Legătura dintre sumele Stieltjes şi sumele simetrice elementare

Article discussing studies of the relationship between the Stieltjes sums and the elementary symmetric sums.
Date: February 2012
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
The Levi problem on mixed manifolds (open access)

The Levi problem on mixed manifolds

Article discussing the Levi problem on mixed manifolds. This article gives a new proof that the problem of Levi, to mixed varieties have a solution in the sense that every pseudoconvex closely mixed variety, with enough real global morphisms, is a variety of Cartan.
Date: 1984
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds (open access)

Magnetic Schröodinger operators with discrete spectra on non-compact Kähler manifolds

This article identifies a class of magnetic Schrödinger operators on Kähler manifolds which exhibit pure point spectrum.
Date: May 17, 2013
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Maximum of a function (open access)

Maximum of a function

In this article, the author presents a generalization of a certain Putnam problem.
Date: January 2014
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
On a class of Stieltjes-Van Vleck polynomials (open access)

On a class of Stieltjes-Van Vleck polynomials

Article on a class of Stieltjes-Van Vleck polynomials.
Date: 2013
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
On a family of iterated integrals (open access)

On a family of iterated integrals

This article discusses a family of iterated integrals and generalizing an iterated integral identity proposed at a Putnam competition in 1941.
Date: 2013
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
On Bär's Conformal Lower Bound for the Spectrum of Generalized Dirac Operators (open access)

On Bär's Conformal Lower Bound for the Spectrum of Generalized Dirac Operators

Article discussing Bär's conformal lower bound for the spectrum of generalized Dirac operators.
Date: 2000
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
On Morley's miracle theorem (open access)

On Morley's miracle theorem

Article on Morley's miracle theorem. The authors use work by A. Connes to explore possible generalizations of Morley's trisector theorem to triangles in arbitrary value fields.
Date: 2004
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
On the constructibility with ruler and compass of a minimum chord in a parabola (open access)

On the constructibility with ruler and compass of a minimum chord in a parabola

Article on the constructibility with ruler and compass of a minimum chord in a parabola. The author gives a constructive description of all the points inside a parabola admitting a minimum chord of fixed direction.
Date: 1997
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
On the exact solution of certain generic nonlinear polynomial systems with cyclic symmetry (open access)

On the exact solution of certain generic nonlinear polynomial systems with cyclic symmetry

This article examines how in view of the fundamental theorem of algebra and basic Galois theory solving nonlinear systems of polynomial equations exactly means in general reducing them to one single equation in one variable.
Date: 2011
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
On the first Vafa-Witten bound for two-dimensional tori (open access)

On the first Vafa-Witten bound for two-dimensional tori

This article discusses the first Vafa-Witten bound for two-dimensional tori.
Date: 2000
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library
Polynomial Harmonic Decompositions (open access)

Polynomial Harmonic Decompositions

Article on polynomial harmonic decompositions. For real polynomials in two indeterminates a classical polynomial harmonic decomposition is extended from square-norm divisors to conic ones.
Date: January 2017
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library