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Descriptive Complexity in Cantor Series (open access)

Descriptive Complexity in Cantor Series

Article discusses how a Cantor series expansion for a real number x with respect to a basic sequence Q=(q), where qi≥2, is a generalization of the base b expansion to an infinite sequence of bases. The authors show that for any basic sequence the set of distribution normal numbers is Π03-complete, and if Q is 1-divergent then the sets of normal and ratio normal numbers are Π03-complete.
Date: September 27, 2021
Creator: Airey, Dylan; Jackson, Steve & Mance, Bill
Object Type: Article
System: The UNT Digital Library
Role of ribosomal RNA released from red cells in blood coagulation in zebrafish and humans (open access)

Role of ribosomal RNA released from red cells in blood coagulation in zebrafish and humans

This article identifies that an rRNA released in hemolysis activates clotting in human and zebrafish plasma. Furthermore, it shows that fish Hgfac plays a role in rRNA-mediated activation of coagulation.
Date: November 17, 2021
Creator: Alharbi, Abdulmajeed; Iyer, Neha; Al Qaryoute, Ayah; Raman, Revathi; Burks, David J.; Azad, Rajeev K. et al.
Object Type: Article
System: The UNT Digital Library
Conference: Dynamical Systems and Fractal Geometry (open access)

Conference: Dynamical Systems and Fractal Geometry

Data management plan for the grant, "Conference: Dynamical Systems and Fractal Geometry."
Date: 2024-04-15/2025-03-31
Creator: Allaart, Pieter C.
Object Type: Text
System: The UNT Digital Library
A random walk version of Robbins' problem: small horizon (open access)

A random walk version of Robbins' problem: small horizon

This article considers an analogous problem in which the observed random variables are the steps of a symmetric random walk. Assuming continuously distributed step sizes, it describes the optimal stopping rules for the cases n = 2 and n = 3 in two versions of the problem: a "full information" version in which the actual steps of the random walk are disclosed to the decision maker; and a "partial information" version in which only the relative ranks of the positions taken by the random walk are observed. When n = 3, the optimal rule and expected rank depend on the distribution of the step sizes. The authors give sharp bounds for the optimal expected rank in the partial information version, and fairly sharp bounds in the full information version.
Date: November 17, 2018
Creator: Allaart, Pieter C. & Allen, Andrew
Object Type: Article
System: The UNT Digital Library

Continued Fractions and Sturmian Words: Discover the Power of Mathematics!

Presentation for the 2011 University Scholars Day at the University of North Texas discussing research on continued fractions as an alternative to decimal expansions.
Date: April 14, 2011
Creator: Allen, Andrew & Cherry, William, 1966-
Object Type: Presentation
System: The UNT Digital Library
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
Foias Numbers (open access)

Foias Numbers

This article identifies the principal features in Foias’ original proof and streamlines them into a general result. The result gives further evidence to the observation that the connection between the sequence with initial seed the Foias constant and the Prime Number Theorem must be fortuitous.
Date: December 30, 2018
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