UNT Scholarly Works - 120 Matching Results
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- Generalizarea problemei 0:59
- This note extends a certain combinatorics problem of I. Tomescu.
- Varietăţi Grassmanniene Mixte
- 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.
- 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.
- 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.
- An abstract index theorem on non-compact Riemannian manifolds
- Article on an abstract index theorem on non-compact Riemannian manifolds.
- Lie Generators for Semigroups of Transformations on a Polish Space
- This article characterizes the infinitesimal generators of semigroups of linear transformations.
- Complex Continued Fractions With Restricted Entries
- This article studies special infinite iterated function systems derived from complex continued fraction expansions with restricted entries.
- 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.
- 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.
- 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.
- SL₂-polynomial invariance
- 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.
- Subsequences and Category
- This article discusses divergences of a sequence of functions and its set of subsequences.
- 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.
- On the first Vafa-Witten bound for two-dimensional tori
- This article discusses the first Vafa-Witten bound for two-dimensional tori.
- Asupra unei probleme de loc geometric a lui A. Dafina
- Article generalizing a certain geometric locus problem due to A. Dafina.
- DP1 and Completely Continuous Operators
- This article demonstrates a relationship between the Dunford-Pettis property and the DP1 property with a similar relationship for vector-valued continuous function spaces.
- 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.
- Sume calculabile prin serii de puteri
- This article investigates an efficient way of evaluating sums and series, based on a result of Abel applied to associated power series.
- Asupra sumelor de puteri asemenea
- Article addressing, from a historical perspective, Newton's sums of like powers of natural numbers.
- The essential uniqueness of the Connes-Morley theorem
- Article on the essential uniqueness of the Connes-Morley theorem.
- 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.
- 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.
- Projecting on polynomial solutions of second order partial differential operators
- Article discussing projecting on polynomial solutions of second order partial differential operators.
- 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.
- 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.
- 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.
- Permutation Complexity Related to the Letter Doubling Map
- Article presented at the 8th International Conference Words 2011 in Prague, Czech Republic. This article investigates the combinatorial complexity of infinite permutations on N associated with the image of uniformly recurrent aperiodic binary words under the letter doubling map.
- 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.
- Legătura dintre sumele Stieltjes şi sumele simetrice elementare
- Article discussing studies of the relationship between the Stieltjes sums and the elementary symmetric sums.
- Interpreting genomic data via entropic dissection
- Article on interpreting genomic data via entropic dissection.
- On a class of Stieltjes-Van Vleck polynomials
- Article on a class of Stieltjes-Van Vleck polynomials.
- 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.
- 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.
- 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.
- Spreading of Charged Micro-Droplets
- This article studies the spreading of a charged microdroplet using the lubrication approximation.
- 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.
- Maximum of a function
- In this article, the author presents a generalization of a certain Putnam problem.
- Stochastics and Thermodynamics for Equilibrium Measures of Holomorphic Endomorphisms on Complex Projective Spaces
- This article proves that the dynamical system (f,μφ) enjoys exponential decay of correlations of Hölder continuous observables as well as the Central Limit Theorem and the Law of Iterated Logarithm for the class of these variables that, in addition, satisfy a natural co-boundary condition. This article also shows that the topological pressure function t ↦ P(tφ) is real-analytic throughout the open set of all parameters t for which the potentials tφ have pressure gaps.
- Comparison of Machine Learning Algorithms for Identifying Cancer Types
- Poster for the 2014 MidSouth Computational Biology and Bioinformatics Society (MCBIOS) Annual Conference. This poster discusses a comparison of machine learning algorithms for identifying cancer types.
- Generalization of Entropy Based Divergence Measures for Symbolic Sequence Analysis
- Article on the generalization of entropy based divergence measures for symbolic sequence analysis.
- 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.
- Newton flow of the Riemann zeta function: separatrices control the appearance of zeros
- This article applies the continuous Newton method to the Riemann zeta function and discusses the emerging patterns emphasizing especially the structuring of the non-trivial zeros by the separatrices.
- 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.
- Sturm Bounds for Siegel Modular Forms
- This article establishes Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. This includes an inductive proof that exploits Fourier-Jacobi expansions of Siegel modular forms and properties of specializations of Jacobi forms to torsion points.
- Ultra-Fast Alterations in mRNA Levels Uncover Multiple Players in Light Stress Acclimation in Plants
- This article contains RNA sequencing analysis of Arabidopsis thaliana plants subjected to light stress in order to identify and characterize rapid changes in the steady-state level of different transcripts in response to light stress.
- The Riemann hypothesis illuminated by the Newton flow of ζ
- This article analyzes the Newton flow of the Riemann zeta function and rederives in an elementary way the Riemann-von Mangoldt estimate of the number of non-trivial zeros below a given imaginary part.
- 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.
- Activation of apoptosis in NAF-1-deficient human epithelial breast cancer cells
- This article shows that small hairpin RNA-mediated suppresion of NAF-1 results in the activation of apoptosis in epithelial breast cancer cells and xenograft tumors.
- 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.
- Curvature Bundle Morphisms for Hypersurface Generalized Dirac Operators
- This article establishes uses a Gauss-like relationship to examine how the curvature bundle morphisms relate.