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.

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.

A study to deduce some fundamental properties of power series.

A set-theoretical point of view to study algebraic numbers has been introduced. We extend a result of Navarro-Bermudez concerning shift invariant measures in the Cantor space which are topologically equivalent to shift invariant measures which correspond to some algebraic integers. It is known that any transcendental numbers and rational numbers in the unit interval are not binomial. We proved that there are algebraic numbers of degree greater than two so that they are binomial numbers. Algebraic integers of degree 2 are proved not to be binomial numbers. A few compositive relations having to do with algebraic numbers on the unit interval have been studied; for instance, rationally related, integrally related, binomially related, B1-related relations. A formula between binomial numbers and binomial coefficients has been stated. A generalized algebraic equation related to topologically equivalent measures has also been stated.

Every continuous convex function defined on a separable Banach space is Gateaux differentiable on a dense G^ subset of the space E [Mazur]. Suppose we are given a sequence (xn) that Is dense in E. Can we always find a Gateaux differentiable point x such that x = z^=^anxn.for some sequence (an) with infinitely many non-zero terms so that Ση∞=1||anxn|| < co ? According to this paper, such points are called of "simple type," and shown to be dense in E. Mazur's theorem follows directly from the result and Rybakov's theorem (A countably additive vector measure F: E -* X on a cr-field is absolutely continuous with respect to |x*F] for some x* e Xs) can be shown without deep measure theoretic Involvement.

The purpose of this paper is to develop a general method for using Finite Elements in the Steepest Descent Method. The main application is to a partial differential equation for a Transonic Flow Problem. It is also applied to Burger's equation, Laplace's equation and the minimal surface equation. The entire method is tested by computer runs which give satisfactory results. The validity of certain of the procedures used are proved theoretically. The way that the writer handles finite elements is quite different from traditional finite element methods. The variational principle is not needed. The theory is based upon the calculation of a matrix representation of operators in the gradient of a certain functional. Systematic use is made of local interpolation functions.

Article on the generalization of entropy based divergence measures for symbolic sequence analysis.

In this article, the author investigates a computational proof of the Cayley-Hamilton theroem, based on induction.

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.

This article introduces several notions of random exponential type asymptotic invexities to establish results to the context of a class of asymptotically sufficient efficiency conditions in semi-infinite multi-objective fractional programing.

This article explores the use of an information-entropy-based gene clustering method for genomic island detection in MRSA.

This paper discusses a research study on the effect of technology on achievement in mathematics in middle school.

This paper discusses autonomous robot localization using WiFi fingerprinting.

This paper describes the current state of research and understanding of math anxiety, expounds upon this information with independent research conducted at UNT, evaluates this research, and suggests a plan for improved results in mathematics education.

This article is concerned with optimality conditions and duality results for nondifferentiable multi-objective fractional programming problems.

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.

Article on interpreting genomic data via entropic dissection.

This article investigates Poincaré series, particularly the study of Siegel–Poincaré series of degree 2 attached to products of terms of Fourier series of harmonic Siegel–Maass forms and holomorphic Siegel modular forms

This article describes the use of three members of the human NEET protein family (CISD1, mitoNEET; CISD2, NAF-1 or Miner 1; and CISD3, Miner2) as guides to conduct a phylogenetic analysis of eukaryotic NEET proteins and their evolution.

This article reports on the origin, evolution, and diversification of the iron-sulfur (2Fe-2S) binding motif CDGSH.

This article uses yeast two-hybrid to demonstrate through vivo bimolecular fluorescence complementation (BiFC), direct coupling analysis (DCA), RNA-sequencing, ROS and iron imaging, and single and double shRNA lines with suppressed mNT, NAF-1 and mNT/NAF-1 expression, that mNT and NAF-1 directly interact in mammalian cells and could function in the same cellular pathway.

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.

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.

Article addressing, from a historical perspective, Newton's sums of like powers of natural numbers.