Search results for " frames"

showing 10 items of 175 documents

An invariant analytic orthonormalization procedure with applications

2007

We apply the orthonormalization procedure previously introduced by two of us and adopted in connection with coherent states to Gabor frames and other examples. For instance, for Gabor frames we show how to construct $g(x)\in L^2(\Bbb{R})$ in such a way the functions $g_{\underline n}(x)=e^{ian_1x}g(x+an_2)$, $\underline n\in\Bbb{Z}^2$ and $a$ some positive real number, are mutually orthogonal. We discuss in some details the role of the lattice naturally associated to the procedure in this analysis.

PhysicsLattice (group)FOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)CombinatoricsSettore MAT/05 - Analisi MatematicaCoherent statesInvariant (mathematics)Connection (algebraic framework)Gabor framesSettore MAT/07 - Fisica MatematicaMathematical PhysicsReal number
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ICTV Virus Taxonomy Profile: Polycipiviridae

2019

Polycipiviridae is a family of picorna-like viruses with non-segmented, linear, positive-sense RNA genomes of approximately 10–12 kb. Unusually for viruses within the order Picornavirales, their genomes are polycistronic, with four (or more) consecutive 5′-proximal open reading frames (ORFs) encoding structural (and possibly other) proteins and a long 3′ ORF encoding the replication polyprotein. Members of species within the family have all been detected in ants or via arthropod transcriptomic datasets. This is a summary of the International Committee on Taxonomy of Viruses (ICTV) Report on the Polycipiviridae, which is available at www.ictv.global/report/polycipiviridae.

Polycipiviridae0301 basic medicineviruses030106 microbiologyInsect VirusesGenome ViralGenomeOpen Reading FramesViral Proteinstaxonomy03 medical and health sciencesVirologyICTV ReportAnimalsRNA VirusesORFSPhylogenyVirus classificationGeneticsbiologyAntsRNAbiology.organism_classificationVirologyICTV Virus Taxonomy ProfilesOpen reading frame030104 developmental biologyRNAPicornaviralesTaxonomy (biology)Journal of General Virology
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Chronological expression of Ciliated Bronchial Epithelium 1 during pulmonary development

2009

Ciliated Bronchial Epithelium (CBE) 1 is a novel gene, which is expressed in ciliated cells. As cilia are important during embryogenesis, the present authors characterised the murine homologue of CBE1 (Cbe1) and compared its temporal expression during murine and human lung development. Cbe1 cDNA was cloned and characterised using sequencing, standard PCR and Western blotting. Mouse and human embryonic/fetal lungs (HELs) were harvested for mRNA analysis and protein localisation in vivo and in vitro using RT-PCR and immunohistochemistry. The Cbe1 amino acid sequence was >75% identical with CBE1 and its alternative splicing and tissue distribution were highly conserved. Pulmonary expression of…

Pulmonary and Respiratory MedicinePathologymedicine.medical_specialtyDNA ComplementaryTime FactorsBlotting WesternDNA Mutational AnalysisBiologyTransfectionStatistics NonparametricImmunoenzyme TechniquesMiceOpen Reading FramesCiliogenesisGene expressionmedicineAnimalsHumansAmino Acid SequenceRNA MessengerCloning MolecularLungDNA PrimersFetusMessenger RNALungReverse Transcriptase Polymerase Chain ReactionEmbryogenesisAlternative splicingNuclear ProteinsCell DifferentiationMolecular biologyEpitheliumDNA-Binding Proteinsmedicine.anatomical_structureBronchial epithelium Asthma DevelopmentTranscription FactorsEuropean Respiratory Journal
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On some dual frames multipliers with at most countable spectra

2021

A dual frames multiplier is an operator consisting of analysis, multiplication and synthesis processes, where the analysis and the synthesis are made by two dual frames in a Hilbert space, respectively. In this paper we investigate the spectra of some dual frames multipliers giving, in particular, conditions to be at most countable. The contribution extends the results available in literature about the spectra of Bessel multipliers with symbol decaying to zero and of multipliers of dual Riesz bases.

Pure mathematicsApplied MathematicsZero (complex analysis)Hilbert spaceFunctional Analysis (math.FA)Dual (category theory)Multiplier (Fourier analysis)Mathematics - Functional Analysissymbols.namesakeOperator (computer programming)Dual frames Invertibility Multipliers SpectraSettore MAT/05 - Analisi MatematicaFOS: MathematicssymbolsCountable set42C15 47A10 47A12MultiplicationBessel functionMathematics
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PIP-Space Valued Reproducing Pairs of Measurable Functions

2019

We analyze the notion of reproducing pairs of weakly measurable functions, a generalization of continuous frames. The aim is to represent elements of an abstract space Y as superpositions of weakly measurable functions belonging to a space Z : = Z ( X , μ ), where ( X , μ ) is a measure space. Three cases are envisaged, with increasing generality: (i) Y and Z are both Hilbert spaces; (ii) Y is a Hilbert space, but Z is a pip-space; (iii) Y and Z are both pip-spaces. It is shown, in particular, that the requirement that a pair of measurable functions be reproducing strongly constrains the structure of the initial space Y. Examples are presented for each case.

Pure mathematicspartial inner product spacesMeasurable functionLogicGeneralizationreproducing pairs; continuous frames; upper and lower semi-frames; partial inner product spacesStructure (category theory)upper and lower semi-framecontinuous frameAbstract spaceSpace (mathematics)01 natural sciencesMeasure (mathematics)symbols.namesakeSettore MAT/05 - Analisi Matematica0103 physical sciences0101 mathematics010306 general physicsreproducing pairMathematical PhysicsMathematicscontinuous framesAlgebra and Number Theorylcsh:Mathematics010102 general mathematicsHilbert spaceupper and lower semi-frameslcsh:QA1-939reproducing pairssymbolsGeometry and TopologyAnalysis
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The mitochondrial genome of Schizosaccharomyces pombe. Stimulation of intra-chromosomal recombination in Escherichia coli by the gene product of the …

1991

The open reading frame of the first intron of the mitochondrial cox1 gene (cox1I1) was expressed in Escherichia coli. The putative intron-encoded protein stimulated the formation of intra-chromosomal lac +-recombinants about threefold. No stimulation was found when the reading frame was inserted in the opposite direction, or when it was interrupted by a deletion. The intronic open reading frame did not complement recA − or recB − mutants of E. coli. In S. pombe, elimination of this intron did not abolish homologous recombination in mitochondria. A possible role of the recombinase activity in yeast mitochondria will be discussed.

RNA SplicingGenes FungalMolecular Sequence DataSaccharomyces cerevisiaeBiologymedicine.disease_causeDNA MitochondrialElectron Transport Complex IVFungal ProteinsRecombinasesOpen Reading FramesSequence Homology Nucleic AcidEndoribonucleasesSchizosaccharomycesGeneticsmedicineRecombinaseEscherichia coliAmino Acid SequenceDNA FungalEscherichia coliRecBCDRecombination GeneticRecombinase activityBase SequenceIntegrasesIntronGeneral Medicinebiology.organism_classificationMolecular biologyNucleotidyltransferasesIntronsOpen reading frameSchizosaccharomyces pombeDNA NucleotidyltransferasesbacteriaHomologous recombination
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FEDRO: a software tool for the automatic discovery of candidate ORFs in plants with c →u RNA editing

2019

RNA editing is an important mechanism for gene expression in plants organelles. It alters the direct transfer of genetic information from DNA to proteins, due to the introduction of differences between RNAs and the corresponding coding DNA sequences. Software tools successful for the search of genes in other organisms not always are able to correctly perform this task in plants organellar genomes. Moreover, the available software tools predicting RNA editing events utilise algorithms that do not account for events which may generate a novel start codon. We present Fedro, a Java software tool implementing a novel strategy to generate candidate Open Reading Frames (ORFs) resulting from Cytidi…

RNA editingComputational biologysoftware toollcsh:Computer applications to medicine. Medical informaticsDNA MitochondrialBiochemistryGenomeDNA sequencingOpen Reading Frames03 medical and health sciences0302 clinical medicineStart codonStructural BiologyORFSlcsh:QH301-705.5Molecular BiologyGeneORFs generation030304 developmental biology0303 health sciencesBase SequenceSettore INF/01 - InformaticaApplied MathematicsOryzaPlantsComputer Science ApplicationsOpen reading framelcsh:Biology (General)RNA editing030220 oncology & carcinogenesisGenome Mitochondriallcsh:R858-859.7DNA microarraySoftware
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A statistical analysis of the three-fold evolution of genomic compression through frame overlaps in prokaryotes

2007

Abstract Background Among microbial genomes, genetic information is frequently compressed, exploiting redundancies in the genetic code in order to store information in overlapping genes. We investigate the length, phase and orientation properties of overlap in 58 prokaryotic species evaluating neutral and selective mechanisms of evolution. Results Using a variety of statistical null models we find patterns of compressive coding that can not be explained purely in terms of the selective processes favoring genome minimization or translational coupling. The distribution of overlap lengths follows a fat-tailed distribution, in which a significant proportion of overlaps are in excess of 100 base…

Reading FramesFold (higher-order function)ImmunologyReading frameComputational biologyBiologyGeneral Biochemistry Genetics and Molecular BiologyEvolution MolecularComplementary DNAGenes OverlappingPoint MutationGenomeslcsh:QH301-705.5GeneEcology Evolution Behavior and SystematicsGeneticsModels StatisticalAgricultural and Biological Sciences(all)Biochemistry Genetics and Molecular Biology(all)ResearchApplied MathematicsFrame (networking)Genetic codeStop codonOrder (biology)lcsh:Biology (General)Prokaryotic CellsModeling and SimulationGeneral Agricultural and Biological SciencesGenome BacterialBiology Direct
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Register Variation Across English Pharmaceutical Texts: A Corpus-driven Study of Keywords, Lexical Bundles and Phrase Frames in Patient Information L…

2013

Abstract This study constitutes an initial step towards filling a gap in corpus linguistics studies of linguistic and phraseological variation across English pharmaceutical texts, in particular in terms of recurrent linguistic patterns. The study conducted from a register- perspective ( Biber & Conrad, 2009 ), which employs both quantitative and qualitative research procedures, aims to provide a corpus-driven description of vocabulary and phraseology, namely key words, lexical bundles, and phrase frames, used in patient information leaflets and summaries of product characteristics (represented by 463 and 146 texts, respectively) written originally in English and collected in two domain-spec…

Register (sociolinguistics)VocabularyPhrasephrase framesComputer sciencemedia_common.quotation_subjectcorpus linguisticscomputer.software_genreCorpus linguisticslexical bundlespharmaceutical textsphraseologyGeneral Materials Sciencemedia_commoncomputer.programming_languagebusiness.industrykeywordsLinguisticsLexicographyVariation (linguistics)Phraseologyregister analysisText typesArtificial intelligenceLexicobusinesscomputerNatural language processingProcedia - Social and Behavioral Sciences
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Parameters affecting the fundamental period of infilled RC frame structures

2015

Despite the fact that the fundamental period appears to be one of the most critical parameters for the seismic design of structures according to the modal superposition method, the so far available in the literature proposals for its estimation are often conflicting with each other making their use uncertain. Furthermore, the majority of these proposals do not take into account the presence of infills walls into the structure despite the fact that infill walls increase the stiffness and mass of structure leading to significant changes in the fundamental period numerical value. Toward this end, this paper presents a detailed and in-depth analytical investigation on the parameters that affect…

Reinforced concrete buildingEngineeringInfilled framesReinforced concrete buildingsInfill wallbusiness.industryModal analysisModal analysisStructure (category theory)StiffnessStructural engineeringMasonrySpan (engineering)Modal analysiSeismic analysisFundamental periodInfillmedicineGeotechnical engineeringmedicine.symptombusinessFundamental period; Infilled frames; Masonry; Modal analysis; Reinforced concrete buildings; Civil and Structural EngineeringMasonryInfilled frameCivil and Structural Engineering
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