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  Partner: UNT College of Arts and Sciences
 Department: Mathematics
 Collection: UNT Scholarly Works
An inductive proof of the Cayley-Hamilton theorem

An inductive proof of the Cayley-Hamilton theorem

Date: July 2014
Creator: Anghel, Nicolae
Description: In this article, the author investigates a computational proof of the Cayley-Hamilton theroem, based on induction.
Contributing Partner: UNT College of Arts and Sciences
Maximum of a function

Maximum of a function

Date: January 2014
Creator: Anghel, Nicolae
Description: In this article, the author presents a generalization of a certain Putnam problem.
Contributing Partner: UNT College of Arts and Sciences
On a class of Stieltjes-Van Vleck polynomials

On a class of Stieltjes-Van Vleck polynomials

Date: 2013
Creator: Anghel, Nicolae
Description: Article on a class of Stieltjes-Van Vleck polynomials.
Contributing Partner: UNT College of Arts and Sciences
Square roots of real 2 x 2 matrices

Square roots of real 2 x 2 matrices

Date: November 2013
Creator: Anghel, Nicolae
Description: In this article, the author investigates the real 2 x 2 matrices which admit real square roots.
Contributing Partner: UNT College of Arts and Sciences
Generalization of Entropy Based Divergence Measures for Symbolic Sequence Analysis

Generalization of Entropy Based Divergence Measures for Symbolic Sequence Analysis

Date: September 17, 2013
Creator: Ré, Miguel A. & Azad, Rajeev K.
Description: Article on the generalization of entropy based divergence measures for symbolic sequence analysis.
Contributing Partner: UNT College of Arts and Sciences
Detecting Evolutionary Strata on the Human X Chromosome in the Absence of Gametologous Y-Linked Sequences

Detecting Evolutionary Strata on the Human X Chromosome in the Absence of Gametologous Y-Linked Sequences

Date: September 9, 2013
Creator: Pandey, Ravi Shanker; Sayres, Melissa A. Wilson & Azad, Rajeev K.
Description: Article on detecting evolutionary strata on the human X chromosome in the absence of gametologous Y-linked sequences.
Contributing Partner: UNT College of Arts and Sciences
Interpreting genomic data via entropic dissection

Interpreting genomic data via entropic dissection

Date: October 3, 2012
Creator: Azad, Rajeev K. & Li, Jing
Description: Article on interpreting genomic data via entropic dissection.
Contributing Partner: UNT College of Arts and Sciences
SL₂-polynomial invariance

SL₂-polynomial invariance

Date: 1998
Creator: Anghel, Nicolae
Description: Article on SL₂-polynomial invariance. The purpose of this article is to describe completely, in a constructive way, the structure of these invariant polynomials in the particular case n = 2, for an arbitrary field k.
Contributing Partner: UNT College of Arts and Sciences
The Levi problem on mixed manifolds

The Levi problem on mixed manifolds

Date: 1984
Creator: Anghel, Nicolae
Description: 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.
Contributing Partner: UNT College of Arts and Sciences
The essential uniqueness of the Connes-Morley theorem

The essential uniqueness of the Connes-Morley theorem

Date: 2006
Creator: Anghel, Nicolae
Description: Article on the essential uniqueness of the Connes-Morley theorem.
Contributing Partner: UNT College of Arts and Sciences
On Morley's miracle theorem

On Morley's miracle theorem

Date: 2004
Creator: Anghel, Nicolae
Description: 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.
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. The author gives 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 the first Vafa-Witten bound for two-dimensional tori

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

Date: 2000
Creator: Anghel, Nicolae
Description: This article discusses the first Vafa-Witten bound for two-dimensional tori.
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: Article discussing projecting on polynomial solutions of second order partial differential operators.
Contributing Partner: UNT College of Arts and Sciences
Projecting on Polynomial Dirac Spinors

Projecting on Polynomial Dirac Spinors

Date: June 2006
Creator: Anghel, Nicolae
Description: In this paper, the authors adapt Axler and Ramey's method of constructing the harmonic part of a homogeneous polynomial to the Fischer decomposition associated to Dirac operators acting on polynomial spinors.
Contributing Partner: UNT College of Arts and Sciences
On Bär's Conformal Lower Bound for the Spectrum of Generalized Dirac Operators

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

Date: 2000
Creator: Anghel, Nicolae
Description: Article discussing Bär's conformal lower bound for the spectrum of generalized Dirac operators.
Contributing Partner: UNT College of Arts and Sciences
Varietăţi Grassmanniene Mixte

Varietăţi Grassmanniene Mixte

Date: 1982
Creator: Anghel, Nicolae
Description: This article discusses mixed Grassmann manifolds. Abstract: Se construieşte varietea grassmanniană modelată intr-un spaţiu Banach mixt, situaţie ce generalizează simultan conceptele grassmanniene real şi complex.
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 and generalizing an iterated integral identity proposed at a Putnam competition in 1941.
Contributing Partner: UNT College of Arts and Sciences
An abstract index theorem on non-compact Riemannian manifolds

An abstract index theorem on non-compact Riemannian manifolds

Date: 1993
Creator: Anghel, Nicolae
Description: Article on an abstract index theorem on non-compact Riemannian manifolds.
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 article 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
Asupra sumelor de puteri asemenea

Asupra sumelor de puteri asemenea

Date: February 2005
Creator: Anghel, Nicolae
Description: Article addressing, from a historical perspective, Newton's sums of like powers of natural numbers.
Contributing Partner: UNT College of Arts and Sciences
O generalizare a problemei piesei de 5 lei a lui Ţiţeica

O generalizare a problemei piesei de 5 lei a lui Ţiţeica

Date: November 2012
Creator: Anghel, Nicolae
Description: The '5 lei coin' problem of Titeica is generalized to circles of arbitrary radii.
Contributing Partner: UNT College of Arts and Sciences
O demonstratie directă a faptului că L1 (X, B, μ) verifică principiul tare al maximului modulului

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

Date: 1989
Creator: Anghel, Nicolae
Description: 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.
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
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