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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.
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.
Asupra unei probleme de loc geometric a lui A. Dafina
Article generalizing a certain geometric locus problem due to A. Dafina.
Asupra sumelor de puteri asemenea
Article addressing, from a historical perspective, Newton's sums of like powers of natural numbers.
Generalizarea problemei 0:59
This note extends a certain combinatorics problem of I. Tomescu.
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.
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.
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.
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.
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.
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.
Projecting on polynomial solutions of second order partial differential operators
Article discussing projecting on polynomial solutions of second order partial differential operators.
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.
On the first Vafa-Witten bound for two-dimensional tori
This article discusses the first Vafa-Witten bound for two-dimensional tori.
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.
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.
The essential uniqueness of the Connes-Morley theorem
Article on the essential uniqueness of the Connes-Morley theorem.
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.
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.
Interpreting genomic data via entropic dissection
Article on interpreting genomic data via entropic dissection.
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.
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.
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.
Maximum of a function
In this article, the author presents a generalization of a certain Putnam problem.
On a class of Stieltjes-Van Vleck polynomials
Article on a class of Stieltjes-Van Vleck polynomials.
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.
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.
ABA Is Required for Plant Acclimation to a Combination of Salt and Heat Stress
This article highlights the important role abscisic acid plays in the acclimation of plants to a combination of two different abiotic stresses.
Identification of Novel Genomic Islands in Liverpool Epidemic Strain of Pseudomonas aeruginosa Using Segmentation and Clustering
This article utilizes a recursive segmentation and cluster procedure presented as a genome-mining tool, GEMINI, to decipher genomic islands and understand their contributions to the evolution of virulence and antibiotic resistance in Pseudomonas aeruginosa.
Rapid identification of causative insertions underlying Medicago truncatula Tnt1 mutants defective in symbiotic nitrogen fixation from a forward genetic screen by whole genome sequencing
This article demonstrates that whole genome sequencing is an efficient approach for identification of causative genes underlying symbiotic nitrogen fixation defective phenotypes in Medicago truncatula Tnt1 insertion mutants obtained via forward genetic screens.
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.
Role of Exponential Type Random Invexities for Asymptotically Sufficient Efficiency Conditions in Semi-Infinite Multi-Objective Fractional Programming
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.
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.
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.
Identification and Network-Enabled Characterization of Auxin Response Factor Genes in Medicago truncatula
This article discusses a comprehensive analysis of the Medicago truncatula genome and transcriptome that entailed search for novel Auxin Response Factor genes and the co-expression networks.
Phylogenetic analysis of eukaryotic NEET proteins uncovers a link between a key gene duplication event and the evolution of vertebrates
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.
Unconventional height functions in simultaneous Diophantine approximation
This article discusses three examples of nonstandard height functions, computing their exponents of irrationality as well as giving more precise results.
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.
Testing rare variants for hypertension using family-based tests with different weighting schemes
This paper proposes 4 weighting schemes for the family-based rare variants test (FBAT-v) to test for the effects of both rare and common variants across the genome.
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.
A novel statistical method for rare-variant association studies in general pedigrees
In this paper, the authors discuss a novel statistical method for rare-variant association studies in general pedigrees for quantitative traits. This method uses a retrospective view that treats the traits as fixed and the genotypes as random, which accounts for complex and undefined ascertainment of families.
Generalized parameter-free duality models in discrete minmax fractional programming based on second-order optimality conditions
This article discusses the construction of six generalized second-order parameter-free duality models, and proves several weak, strong, and strict converse duality theorems for a discrete minmax fractional programming problem using two partitioning schemes and various types of generalized second-order (ℱ, β, ɸ, 𝜌, θ, 𝑚)-univexity assumptions.
Interactions between mitoNEET and NAF-1 in cells
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.
Extremality and dynamically defined measures, part 1: Diophantine properties of quasi-decaying measures
This article presents a new method of proving the Diophantine extremality of various dynamically defined measures, vastly expanding the class of measures known to be extremal.
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.
Subsequences and Category
This article discusses divergences of a sequence of functions and its set of subsequences.
Environmental vibrios represent a source of antagonistic compounds that inhibit pathogenic Vibrio cholerae and Vibrio parahaemolyticus strains
This article predicts that marine-derived bacteria should inhibit Vibrio pathogens and may be a source of unique antibiotic compounds.
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