Search results for "LYN"

showing 10 items of 910 documents

The algebra of symmetric analytic functions on L∞

2017

We consider the algebra of holomorphic functions on L∞ that are symmetric, i.e. that are invariant under composition of the variable with any measure-preserving bijection of [0, 1]. Its spectrum is identified with the collection of scalar sequences such that is bounded and turns to be separable. All this follows from our main result that the subalgebra of symmetric polynomials on L∞ has a natural algebraic basis.

Power sum symmetric polynomialTriple systemGeneral Mathematics010102 general mathematicsSubalgebraStanley symmetric functionComplete homogeneous symmetric polynomial01 natural sciences010101 applied mathematicsAlgebraSymmetric polynomialComputingMethodologies_DOCUMENTANDTEXTPROCESSINGElementary symmetric polynomial0101 mathematicsRing of symmetric functionsMathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
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Diagonal space time hadamard codes with erasure decoding algorithm

2005

A major challenge in the area of space time (ST) codes is to find codes suitable for efficient decoding, thus overcoming the problem of many existing ST code designs which require maximum-likelihood (ML) decoding. A solution could be to apply single-input single-output (SISO) channel codes and theory over temporal channel fading to the multi-input single-output (MISO) code construction and classical suboptimum decoding methods. For these purposes, an ST code construction which allows the use of efficient decoding algorithms is described. We propose a concatenated code, where the inner code is the diagonal ST Hadamard (D-STH) code with Paley constructions and the outer code is an algebraic b…

Prefix codeBlock codePolynomial codeComputer scienceConcatenationList decodingData_CODINGANDINFORMATIONTHEORYSequential decodingLocally testable codeSystematic codeReed–Solomon error correctionHadamard transformCyclic codeFadingLow-density parity-check codeComputer Science::Information TheorySelf-synchronizing codeHadamard codeConcatenated error correction codeReed–Muller codeSerial concatenated convolutional codesAntenna diversityLinear codeConvolutional codeErasureConstant-weight codeErasure codeAlgorithmDecoding methodsCommunication channelIEEE Wireless Communications and Networking Conference, 2005
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Investigation of Inspiratory Pressure-Volume Curves on Mechanically Ventilated Patients Using Least Square Polynomial Fit

1988

Abstract An on-line method for the registration of pressure volume 1 oops TrT mechanically ventilated patients was developed using a personal computer with analog/digital interface. A third order polynomial function was fitted to the measured inspiratory pressure volume pairs. The significance of the fitting procedure was calculated using regression ANOVA. The inflection point of the pressure-volume curve was determinated by calculating the root of the second derivative of the polynomial. The method was teseted on 20 patients without major pulmonary dysfunction and on 6 patients with severe ARDS.

Pressure-volume curvesPolynomial regressionMechanical ventilationPolynomialInflection pointmedicine.medical_treatmentMathematical analysisPersonal computermedicinePulmonary DysfunctionSimulationSecond derivativeMathematicsIFAC Proceedings Volumes
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Quantum Dual Adversary for Hidden Subgroups and Beyond

2019

An explicit quantum dual adversary for the S-isomorphism problem is constructed. As a consequence, this gives an alternative proof that the query complexity of the dihedral hidden subgroup problem is polynomial.

Property testingDiscrete mathematicsPolynomialComputer scienceComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONQuantum algorithmDUAL (cognitive architecture)Dihedral angleAdversaryHidden subgroup problemQuantum
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Human apolipoprotein A-I natural variants: molecular mechanisms underlying amyloidogenic propensity

2012

Human apolipoprotein A-I (apoA-I)-derived amyloidosis can present with either wild-type (Wt) protein deposits in atherosclerotic plaques or as a hereditary form in which apoA-I variants deposit causing multiple organ failure. More than 15 single amino acid replacement amyloidogenic apoA-I variants have been described, but the molecular mechanisms involved in amyloid-associated pathology remain largely unknown. Here, we have investigated by fluorescence and biochemical approaches the stabilities and propensities to aggregate of two disease-associated apoA-I variants, apoA-IGly26Arg, associated with polyneuropathy and kidney dysfunction, and apoA-ILys107-0, implicated in amyloidosis in severe…

ProteomicsProtein Foldinglcsh:MedicineProtein aggregationpolymyxinsBiochemistryProtein Structure SecondaryMiceProtein structureneutrophilsMolecular Cell Biologypolycyclic compoundslcsh:ScienceCellular Stress ResponsesMultidisciplinaryProtein StabilityAmyloidosisCiencias QuímicasfluorescenseCell biologymacrophagesBiochemistryToxicityMedicineProtein foldinglipids (amino acids peptides and proteins)medicine.symptomPolyneuropathyResearch ArticleProtein StructureMedicinaLipoproteinsImmunologyBiophysicsInflammationAmyloidogenic ProteinsBiologyProtein ChemistryMicrobiologyCell Lineprotein aggregationmacrophage activationmedicineAnimalsHumansoligomersProtein InteractionsBiologyInflammationamyloidosisApolipoprotein A-IMacrophageslcsh:RImmunityProteinsnutritional and metabolic diseasesmedicine.diseaseApolipoproteinsAmino Acid SubstitutionCell cultureinflammationCiencias Médicaslcsh:QClinical ImmunologyMutant ProteinspolyneuropathyProtein Multimerization
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Natural or synthetic nucleic acids encapsulated in a closed cavity of amphiphiles

2013

In this review some aspects of the interactions of organized structures of amphiphiles with natural or synthetic DNAs are briefly considered. In particular DNAs encapsulated in closed cavities of amphiphiles, specifically giant vesicles and water-in-oil droplets and reverse micelles, are dealt with. Two main applications of giant vesicles are reviewed in detail, namely their use as microreactors where reactions can be followed by optical microscopy on a single vesicle and in synthetic biology as protocell models or as potential semi-synthetic ‘‘living’’ cells. Water-in-oil droplets uses for rapid and relatively low-cost DNA amplification by PCR reaction are described as well as for in vitro…

ProtocellAqueous solutionChemistryGeneral Chemical EngineeringVesicleNanotechnologyGeneral ChemistrymicroreactorsMicellepolynucleotides in water-in-oil dropletsSynthetic biologyDNA model polynucleotides giant vesicles Reverse micellesPolynucleotideAmphiphileBiophysicsNucleic acidmicroreactors; polynucleotides in giant vesicles; polynucleotides in water-in-oil dropletspolynucleotides in giant vesiclesRSC Advances
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Study on the Effects of Pseudorandom Generation Quality on the Performance of Differential Evolution

2011

Experiences in the field of Monte Carlo methods indicate that the quality of a random number generator is exceedingly significant for obtaining good results. This result has not been demonstrated in the field of evolutionary optimization, and many practitioners of the field assume that the choice of the generator is superfluous and fail to document this aspect of their algorithm. In this paper, we demonstrate empirically that the requirement of high quality generator does not hold in the case of Differential Evolution.

Pseudorandom number generatorRandom number generationLinear congruential generatormedicine.medical_treatmentRandom seedPseudorandomnessmedicinePseudorandom generators for polynomialsPseudorandom generatorPseudorandom generator theoremAlgorithmMathematics
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Considerations on correlations in shift-register pseudorandom number generators and their removal

1997

Abstract We present a simple calculation quantitatively explaining the triplet correlations in the popular shift-register random number generator “R250”, which were recently observed numerically by Schmid and Wilding, and are known from general analysis of this type of generator. Starting from these considerations, we discuss various methods to remove these correlations by combining different shift-register generators. We implement and test a particularly simple and fast version, based on an XOR combination of two independent shift-register generators with different time lags. The results indicate that this generator has much better statistical properties than R250, while being only a facto…

Pseudorandom number generatorRandom number generationmedicine.medical_treatmentPseudorandomnessGeneral Physics and AstronomyPseudorandom generatorPseudorandom generator theoremLagged Fibonacci generatorHardware and ArchitectureLinear congruential generatormedicinePseudorandom generators for polynomialsAlgorithmMathematicsComputer Physics Communications
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Cocharacters of group graded algebras and multiplicities bounded by one

2017

Let G be a finite group and A a G-graded algebra over a field F of characteristic zero. We characterize the (Formula presented.)-ideals (Formula presented.) of graded identities of A such that the multiplicities (Formula presented.) in the graded cocharacter of A are bounded by one. We do so by exhibiting a set of identities of the (Formula presented.)-ideal. As a consequence we characterize the varieties of G-graded algebras whose lattice of subvarieties is distributive.

Pure mathematics010103 numerical & computational mathematics01 natural sciencesGraded Lie algebraFiltered algebrasymbols.namesakeDifferential graded algebra0101 mathematicsAlgebra over a fieldMathematicsDiscrete mathematicsHilbert series and Hilbert polynomialFinite groupAlgebra and Number TheoryMathematics::Commutative AlgebraMathematics::Rings and Algebras010102 general mathematicsGraded ringPolynomial identitycocharactergraded polynomialSettore MAT/02 - AlgebraBounded functiongraded algebrasymbolsANÉIS E ÁLGEBRAS ASSOCIATIVOS
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Finite type invariants of knots in homology 3-spheres with respect to null LP-surgeries

2017

We study a theory of finite type invariants for null-homologous knots in rational homology 3-spheres with respect to null Lagrangian-preserving surgeries. It is an analogue in the setting of the rational homology of the Goussarov-Rozansky theory for knots in integral homology 3-spheres. We give a partial combinatorial description of the graded space associated with our theory and determine some cases when this description is complete. For null-homologous knots in rational homology 3-spheres with a trivial Alexander polynomial, we show that the Kricker lift of the Kontsevich integral and the Lescop equivariant invariant built from integrals in configuration spaces are universal finite type i…

Pure mathematicsAlexander polynomialPrimary: 57M27Homology (mathematics)01 natural sciencesHomology sphereMathematics::Algebraic TopologyMathematics - Geometric TopologyKnot (unit)Mathematics::K-Theory and Homologybeaded Jacobi diagramknot[MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT]0103 physical sciencesFOS: Mathematics0101 mathematicsInvariant (mathematics)Mathematics::Symplectic Geometry3-manifoldhomology sphereMathematicsBorromean surgerycalculus010102 general mathematicsGeometric Topology (math.GT)Kontsevich integral16. Peace & justiceMathematics::Geometric TopologymanifoldsFinite type invariantnull-move57M27Finite type invariantLagrangian-preserving surgeryEquivariant map010307 mathematical physicsGeometry and Topology3-manifold
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