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
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
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
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
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
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
Epilepsy Detection Using EEG with Different Time Frames (open access)

Epilepsy Detection Using EEG with Different Time Frames

This article analyzes and classifies EEG signals using wavelets decomposition and support vector machines (SVM).
Date: 2016
Creator: Liu, Jianguo
Object Type: Article
System: The UNT Digital Library
Reflectionless Boundary Propagation Formulas for Partial Wave Solutions to the Wave Equation (open access)

Reflectionless Boundary Propagation Formulas for Partial Wave Solutions to the Wave Equation

This article considers solutions to the wave equation in 3+1 spacetime dimensions whose data is compactly supported at some initial time.
Date: November 28, 1995
Creator: Navarro, Jaime & Warchall, Henry A.
Object Type: Article
System: The UNT Digital Library
Projecting on Polynomial Dirac Spinors (open access)

Projecting on Polynomial Dirac Spinors

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.
Date: June 2006
Creator: Anghel, Nicolae
Object Type: Paper
System: The UNT Digital Library
Lie Generators for Semigroups of Transformations on a Polish Space (open access)

Lie Generators for Semigroups of Transformations on a Polish Space

This article characterizes the infinitesimal generators of semigroups of linear transformations.
Date: August 27, 1993
Creator: Dorroh, J. R. & Neuberger, J. W.
Object Type: Article
System: The UNT Digital Library
Spreading of Charged Micro-Droplets (open access)

Spreading of Charged Micro-Droplets

This article studies the spreading of a charged microdroplet using the lubrication approximation.
Date: September 16, 2013
Creator: Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
Newton’s Method in the Context of Gradients (open access)

Newton’s Method in the Context of Gradients

This article gives a common theoretical treatment for gradient and Newton type methods for general classes of problems.
Date: September 24, 2007
Creator: Karátson, János & Neuberger, J. W.
Object Type: Article
System: The UNT Digital Library
Numerical Calculation of Singularities for Ginzburg-Landau Functionals (open access)

Numerical Calculation of Singularities for Ginzburg-Landau Functionals

This article gives results of numerical calculations of asymptotic behavior of critical points of a Ginzburg-Landau functional.
Date: June 18, 1997
Creator: Neuberger, J. W. & Renka, R. J.
Object Type: Article
System: The UNT Digital Library
Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains (open access)

Existence of Solutions for Semilinear Problems With Prescribed Number of Zeros on Exterior Domains

This article proves the existence of an infinite number of radial solutions of Δ(u) + f(u) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where f is odd with f < 0 on (0, β), f > 0 on (β,∞) where β > 0.
Date: May 3, 2016
Creator: Joshi, Janak & Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
Loitering at the hilltop on exterior domains (open access)

Loitering at the hilltop on exterior domains

In this article, the author proves the existence of an infinite number of radial solutions of Δu+f(u)=0 on the exterior of the ball of radius R>0 centered at the origin and f is odd with f<0 on (0,β), f>0 on (β,δ), and f≡0 for u>δ. The primitive F(u)=∫u0f(t)dt has a "hilltop" at u=δ which allows one to use the shooting method and ODE techniques to prove the existence of solutions.
Date: November 23, 2015
Creator: Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
The Spreading of Charged Micro-Droplets (open access)

The Spreading of Charged Micro-Droplets

This article considers the analysis of the Betelu-Fontelos model of the spreading of a charged microdroplet on a at dielectric surface whose spreading is driven by surface tension and electrostatic repulsion.
Date: January 20, 2015
Creator: Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains (open access)

Existence and Nonexistence of Solutions for Semilinear Equations on Exterior Domains

This article studies radial solutions of Δu + K(r)ƒ(u) = 0 on the exterior of the ball of radius R > 0 centered at the origin in ℝᴺ where ƒ is odd with ƒ < 0 on (0,ß), ƒ > 0 on (β, δ), ƒ ≡ 0 for u > δ, and where the function K(r) is assumed to be positive and K(r) → 0 as r → ∞.
Date: August 22, 2016
Creator: Iaia, Joseph A.
Object Type: Article
System: The UNT Digital Library
Complex Continued Fractions With Restricted Entries (open access)

Complex Continued Fractions With Restricted Entries

This article studies special infinite iterated function systems derived from complex continued fraction expansions with restricted entries.
Date: October 19, 1993
Creator: Hanus, Pawel & Urbański, Mariusz
Object Type: Article
System: The UNT Digital Library
Detecting Evolutionary Strata on the Human X Chromosome in the Absence of Gametologous Y-Linked Sequences (open access)

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

Article on 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.
Object Type: Article
System: The UNT Digital Library
Glucose or Altered Ceramide Biosynthesis Mediate Oxygen Deprivation Sensitivity Through Novel Pathways Revealed by Transcriptome Analysis in Caenorhabditis elegans (open access)

Glucose or Altered Ceramide Biosynthesis Mediate Oxygen Deprivation Sensitivity Through Novel Pathways Revealed by Transcriptome Analysis in Caenorhabditis elegans

This article discusses how RNA-sequencing analysis was performed to assess how a glucose-supplemented diet and/or a hyl-2 mutation altered the transcriptome.
Date: August 5, 2016
Creator: Ladage, Mary L.; King, Skylar D.; Burks, David J.; Quan, Daniel L.; Garcia, Anastacia M.; Azad, Rajeev K. et al.
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
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
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
Square roots of real 2 x 2 matrices (open access)

Square roots of real 2 x 2 matrices

In this article, the author investigates the real 2 x 2 matrices which admit real square roots.
Date: November 2013
Creator: Anghel, Nicolae
Object Type: Article
System: The UNT Digital Library