Search results for "group theory"

showing 10 items of 703 documents

Atom-based Stochastic and non-Stochastic 3D-Chiral Bilinear Indices and their Applications to Central Chirality Codification

2006

Abstract Non-stochastic and stochastic 2D bilinear indices have been generalized to codify chemical structure information for chiral drugs, making use of a trigonometric 3D-chirality correction factor. In order to evaluate the effectiveness of this novel approach in drug design we have modeled the angiotensin-converting enzyme inhibitory activity of perindoprilate's σ-stereoisomers combinatorial library. Two linear discriminant analysis models, using non-stochastic and stochastic linear indices, were obtained. The models had shown an accuracy of 95.65% for the training set and 100% for the external prediction set. Next the prediction of the σ-receptor antagonists of chiral 3-(3-hydroxypheny…

Models MolecularQuantitative structure–activity relationshipIndolesStereochemistryStatic ElectricityQuantitative Structure-Activity RelationshipBilinear interpolationAngiotensin-Converting Enzyme InhibitorsIn Vitro TechniquesSet (abstract data type)PiperidinesLinear regressionMaterials ChemistryReceptors sigmaOrder (group theory)Applied mathematicsComputer SimulationPhysical and Theoretical ChemistrySpectroscopyMathematicsTranscortinStochastic ProcessesChemistryAtom (order theory)StereoisomerismLinear discriminant analysisComputer Graphics and Computer-Aided DesignData setDrug DesignLinear ModelsSteroidsTrigonometryChirality (chemistry)Proceedings of The 10th International Electronic Conference on Synthetic Organic Chemistry
researchProduct

Nucleotide's bilinear indices: Novel bio-macromolecular descriptors for bioinformatics studies of nucleic acids. I. Prediction of paromomycin's affin…

2009

A new set of nucleotide-based bio-macromolecular descriptors are presented. This novel approach to bio-macromolecular design from a linear algebra point of view is relevant to nucleic acids quantitative structure-activity relationship (QSAR) studies. These bio-macromolecular indices are based on the calculus of bilinear maps on Re(n)[b(mk)(x (m),y (m)):Re(n) x Re(n)--Re] in canonical basis. Nucleic acid's bilinear indices are calculated from kth power of non-stochastic and stochastic nucleotide's graph-theoretic electronic-contact matrices, M(m)(k) and (s)M(m)(k), respectively. That is to say, the kth non-stochastic and stochastic nucleic acid's bilinear indices are calculated using M(m)(k)…

Models MolecularStatistics and ProbabilityPure mathematicsQuantitative structure–activity relationshipParomomycinMolecular Sequence DataDNA FootprintingQuantitative Structure-Activity RelationshipBilinear interpolationGeneral Biochemistry Genetics and Molecular BiologyInterpretation (model theory)DNA PackagingLinear regressionOrder (group theory)MathematicsStochastic ProcessesBase SequenceGeneral Immunology and MicrobiologyApplied MathematicsComputational BiologyGeneral MedicineModeling and SimulationDNA ViralLinear algebraStandard basisHIV-1Nucleic acidRNA ViralGeneral Agricultural and Biological SciencesAlgorithmJournal of Theoretical Biology
researchProduct

Character correspondences in blocks with normal defect groups

2014

Abstract In this paper we give an extension of the Glauberman correspondence to certain characters of blocks with normal defect groups.

Modular representation theoryAlgebra and Number Theory010102 general mathematicsCharacter theoryExtension (predicate logic)01 natural sciencesAlgebraCharacter (mathematics)Compact group0103 physical sciences010307 mathematical physicsClassification of finite simple groups0101 mathematicsGroup theoryRepresentation theory of finite groupsMathematicsJournal of Algebra
researchProduct

Is the special pair structure a good strategy for the kinetics during the last step of the energy transfer with the nearest antenna? A chemical model…

2013

A cofacial bis(Mg(II)porphyrin)-C(6)H(4)-free base ([Mg(2)]-bridge-FB) dyad shows S(1) energy transfer in both directions and much slower rates than similar monoporphyrin systems are observed.

Molecular StructureMetalloporphyrinsEnergy transferKineticsMetals and AlloysStructure (category theory)General ChemistryPorphyrinMolecular physicsCatalysisSurfaces Coatings and FilmsElectronic Optical and Magnetic MaterialsBase (group theory)chemistry.chemical_compoundKineticsZincchemistryEnergy TransferModels ChemicalComputational chemistryMaterials ChemistryCeramics and CompositesMoleculeMagnesiumAntenna (radio)Chemical communications (Cambridge, England)
researchProduct

Artin monoids inject in their groups

2001

We prove that the natural homomorphism from an Artin monoid to its associated Artin group is always injective

MonoidPure mathematics[ MATH.MATH-GR ] Mathematics [math]/Group Theory [math.GR]General Mathematics20F36Group Theory (math.GR)01 natural sciences[MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]Mathematics::Group TheoryMathematics::Category Theory0103 physical sciencesArtin L-functionFOS: Mathematics0101 mathematics[MATH.MATH-GR] Mathematics [math]/Group Theory [math.GR]MathematicsDiscrete mathematicsNon-abelian class field theoryMathematics::Rings and Algebras010102 general mathematicsGalois moduleInjective functionArtin groupHomomorphism010307 mathematical physicsMathematics - Group TheoryGroup theory
researchProduct

Constituent priming effects: Evidence for preserved morphological processing in healthy old readers

2009

How elderly adults process morphologically complex words is still a matter of controversy. The present study explored whether compound word recognition is affected by ageing. A group of young adults and a group of older healthy adults were tested on a lexical decision task. Compound words were presented primed by their first constituent (book-BOOKSHOP), their second constituent (shop-BOOKSHOP), or by an unrelated word (house-BOOKSHOP). Results revealed that morphological processing is fully preserved in advanced age and that the magnitude of the constituent priming effect was similar for young and older adults.

Morphological processingAgeingCompoundLexical decision taskExperimental and Cognitive PsychologyCognitionYoung adultPsychologyPriming (psychology)Word (group theory)Developmental psychologyEuropean Journal of Cognitive Psychology
researchProduct

Suffixes, Conjugates and Lyndon Words

2013

In this paper we are interested in the study of the combinatorial aspects connecting three important constructions in the field of string algorithms: the suffix array, the Burrows-Wheeler transform (BWT) and the extended Burrows-Wheeler transform (EBWT). Such constructions involve the notions of suffixes and conjugates of words and are based on two different order relations, denoted by $\plex$ and $\pom$, that, even if strictly connected, are quite different from the computational point of view. In this study an important role is played by Lyndon words. In particular, we improve the upper bound on the number of symbol comparisons needed to establish the $\pom$ order between two primitive wo…

MultisetReduction (recursion theory)BWT; Lyndon factorization; Suffix ArrayString (computer science)Suffix arrayLyndon words Lyndon factorization BWT Suffix array EBWT Circular words ConjugacyLexicographical orderlaw.inventionSuffix ArrayCombinatoricsBWTLyndon factorizationlawOrder (group theory)Symbol (formal)Word (group theory)Mathematics
researchProduct

Protective Effects of Foam Rolling against Inflammation and Notexin Induced Muscle Damage in Rats

2019

It is known that high-intensity exercise can cause inflammation and damage in muscle tissue, and in recent years, physical therapists and fitness professionals have begun to use foam rolling as a recovery method to improve performance. Despite the lack of basic science studies to support or refute the efficacy of foam rolling, the technique is very widely used in the sports world. In this respect, we investigated whether foam rolling could attenuate muscle damage and inflammation. Female Wistar rats were assigned to control (C), foam rolling (FR), notexin without foam rolling (N) and notexin with foam rolling (NFR) groups. A 4.5 x 2 cm foam roller was used to massage their hind legs (two 60…

Muscle tissuemedicine.medical_specialtyN-group (finite group theory)InflammationHindlimbMuscle damage03 medical and health sciencesGrip strengthmuscle recovery0302 clinical medicinePhysical Conditioning AnimalInternal medicinefoam rollingmedicineAnimalsHumansMuscle StrengthRange of Motion ArticularRats WistarMuscle SkeletalPhysical Therapy ModalitiesBalance (ability)Elapid VenomsInflammationMassageTumor Necrosis Factor-alphaChemistryGeneral MedicineRatsPhysical TherapistsDisease Models Animalcell deathmedicine.anatomical_structureEndocrinology030211 gastroenterology & hepatologyFoam rollingmedicine.symptomperformanceInterleukin-1SportsResearch PaperInternational Journal of Medical Sciences
researchProduct

Higher order Peregrine breathers solutions to the NLS equation

2015

The solutions to the one dimensional focusing nonlinear Schrödinger equation (NLS) can be written as a product of an exponential depending on t by a quotient of two polynomials of degree N (N + 1) in x and t. These solutions depend on 2N − 2 parameters : when all these parameters are equal to 0, we obtain the famous Peregrine breathers which we call PN breathers. Between all quasi-rational solutions of the rank N fixed by the condition that its absolute value tends to 1 at infinity and its highest maximum is located at the point (x = 0, t = 0), the PN breather is distinguished by the fact that PN (0, 0) = 2N + 1. We construct Peregrine breathers of the rank N explicitly for N ≤ 11. We give …

NLS equationHistoryDegree (graph theory)BreatherPeregrine breathersMathematical analysis[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]rogue wavesAbsolute value (algebra)Rank (differential topology)Computer Science ApplicationsEducationExponential functionsymbols.namesake[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]symbolsOrder (group theory)[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]PACS numbers : 33Q55 37K10 47.10A- 47.35.Fg 47.54.BdNonlinear Schrödinger equationQuotientMathematicsMathematical physicsJournal of Physics: Conference Series
researchProduct

Existentially Closed Groups in Specific Classes

1995

This survey article is intended to make the reader familiar with the algebraic structure of existentially closed groups in specific group classes, and with the ideas and methods involved in this area of group theory. We shall try to give a fairly complete account of the theory, but there will be a certain emphasis on classes of nilpotent groups, locally finite groups, and extensions.

NilpotentPure mathematicsAlgebraic structureHomogeneity (statistics)Group theoryMathematicsUniversality (dynamical systems)
researchProduct