Search results for "formal"

showing 10 items of 1654 documents

A generalized integration formula for indefinite integrals of special functions

2020

An integration formula for generating indefinite integrals which was presented in Conway JT [A Lagrangian method for deriving new indefinite integrals of special functions. Integral Transforms Spec...

Differential equationApplied Mathematics010102 general mathematicsMathematicsofComputing_NUMERICALANALYSIS010103 numerical & computational mathematicsIntegral transform01 natural sciencesAlgebraVDP::Teknologi: 500symbols.namesakeTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESSpecial functionsComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONsymbols0101 mathematicsAnalysisLagrangianMathematicsIntegral Transforms and Special Functions
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Geometrical Transformations In The Fraunhofer Plane

1987

A virtual display of the Fraunhofer diffraction pattern is generated solely by illuminating the object with a point source. If this pattern is imaged with an anamorphic system, several linear geometrical transformations can be achieved. Furthermore, a nonsymmetrical Fourier transformer with a variable degree of anamorphic magnification on the Fraunhofer pattern can be implemented.

DiffractionWavefrontbusiness.industryPoint sourceMagnificationGeometrysymbols.namesakeFourier transformOpticssymbolsDiffraction formalismSpatial frequencybusinessFresnel diffractionMathematicsSPIE Proceedings
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What a Friend We Have in Facebook : Norwegian Christian Churches’ Use of Social Media

2021

This study examines how Christian churches in Norway use social media. The key finding is that the churches do not take extensive advantage of the opportunities for two-way communication offered by the platforms, but primarily use their social media channels to promote church activities or broadcast content without inviting a dialogue. Based on the churches’ own stated appreciation for building relationships, as well as existing research from media and communication studies, media and religion studies, and studies within strategic communication, this article argues for a stronger focus on the ritual and relational aspects of online communication from the church organizations. Pais Open Acce…

Digitale medierbusiness.industryCommunicationReligious studiesMedia studiesKommunikasjonNorwegianVDP::Medievitenskap og journalistikk: 310Medialisation of religionlanguage.human_languagePeer reviewDigital mediaVDP::Media studies and journalism: 310TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESMediealisering av religionKey (cryptography)languageDigital communicationSocial mediaSociologyDigital kommunikasjonbusinessDigital media
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Die vollständige methylierung phenolischer hydroxylgruppen von struktureinheitlichen mehrkernverbindungen

1965

Die phenolischen Hydroxylgruppen von aus p-Kresol und Formaldehyd hergestellten Mehrkernverbindungen liesen sich nicht mit Methyljodid oder Diazomethan vollstandig methylieren. Wie Loslichkeitsversuche zeigten, sind die untersuchten Mehrkernverbindungen weder als Kryptophenole4,5 noch als behinderte Phenole7 anzusehen; es liegen phenolische Verbindungen mit ausergewohnlichem Reaktionsverhalten vor. Durch Behandeln der Verbindungen in Dioxan mit metallischem Natrium und Dimethylsulfat gelang die Herstellung der Permethylather. Das ist ein weiterer Beweis fur die angegebene Kettenstruktur der Mehrkernverbindungen. Der Versuch, auch halogenhaltige Mehrkernverbindungen an den Hydroxylgruppen au…

Dimethyl sulfatechemistry.chemical_compoundChain structureReaction behaviorchemistryDiazomethanePolymer chemistryHalogenFormaldehydeMethyl iodideDie Makromolekulare Chemie
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Calculation of size‐intensive transition moments from the coupled cluster singles and doubles linear response function

1994

Coupled cluster singles and doubles linear response (CCLR) calculations have been carried out for excitation energies and dipole transition strengths for the lowest excitations in LiH, CH+, and C4and the results compared with the results from a CI-like approach to equation of motion coupled cluster (EOMCC). The transition strengths are similar in the two approaches for single molecule calculations on small systems. However, the CCLR approach gives size-intensive dipole transition strengths, while title EOMCC formalism does not. Thus, EOMCC calculations can give unphysically dipole transition strengths, e.g., in EOMCC calculations on a sequence of noninteracting LiH systems we obtained a neg…

DipolesGeneral Physics and AstronomySmall systemsExcitation ; Dipoles ; Lithium Hydrides ; Carbynes ; Cations ; Molecular Ions ; Carbon Molecules ; Equations Of Motion ; Correlations ; Response FunctionsPhysics and Astronomy (all)CationsMoleculePhysical and Theoretical Chemistry:FÍSICA::Química física [UNESCO]ExcitationCorrelationsChemistryEquations of motionCarbon MoleculesLinear response functionUNESCO::FÍSICA::Química físicaFormalism (philosophy of mathematics)DipoleCoupled clusterLithium HydridesCarbynesResponse FunctionsAtomic physicsEquations Of MotionMolecular IonsExcitationThe Journal of Chemical Physics
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Calidad de vida familiar en personas con daño cerebral adquirido: el caso de la asociación Nueva Opción

2022

El impacto del daño cerebral adquirido supone una pérdida de calidad de vida relacionada con la salud y la vida cotidiana, laboral y comunitaria. Además, sus consecuencias también repercuten en la red familiar. Desde la asociación Nueva Opción se pretende describir la calidad de vida en el entorno familiar de las personas con daño cerebral adquirido, así como determinar la satisfacción que experimentan las familias frente a las secuelas, contemplando la variable de edad y sexo. Para su análisis, se ha adaptado la Escala de calidad de vida familiar a la población atendida, midiendo así las relaciones intrafamiliares, el estado de salud y sus relaciones sociales y de ocio, entre otras, con el…

Discapacidad adquiridaMujerCalidad de vidaAsociacionesEspañaNecesidadesDany cerebralSexoEntorno familiarLesión cerebralSatisfacciónCuidador informalDiscapacidadEdadValenciaCasuísticaHombreEfectos
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On the symbol homomorphism of a certain Frechet algebra of singular integral operators

1985

We prove the surjectivity of the symbol map of the Frechet algebra obtained by completing an algebra of convolution and multiplication operators in the topology generated by all L2-Sobolev norms. The proof is based on an ℝn of Egorov's theorem valid for non-homogeneous principal symbols, discussed in [5], [6]. We use the hyperbolic equation ∂u/∂t=i|D|ηu, 0<η<1, which has its characteristic flow constant at infinity, so that no differentiability of the symbol is required there.

Discrete mathematicsAlgebra and Number TheoryFlow (mathematics)HomomorphismDifferentiable functionFréchet algebraConstant (mathematics)Symbol (formal)Hyperbolic partial differential equationAnalysisConvolutionMathematicsIntegral Equations and Operator Theory
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On the weight distribution of perfect binary codes

2021

In this paper, we give a new proof of the closed-form formula for the weight distribution of a perfect binary single-error-correcting code.

Discrete mathematicsAlgebra and Number TheoryPerfect codes Binary codes Hamming codes Weight distribution.Hamming boundApplied MathematicsBinary numberTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESSettore MAT/05 - Analisi MatematicaWeight distributionCode (cryptography)Binary codeSettore MAT/03 - GeometriaHamming codeAnalysisMathematics
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Epichristoffel Words and Minimization of Moore Automata

2014

This paper is focused on the connection between the combinatorics of words and minimization of automata. The three main ingredients are the epichristoffel words, Moore automata and a variant of Hopcroft's algorithm for their minimization. Epichristoffel words defined in [14] generalize some properties of circular sturmian words. Here we prove a factorization property and the existence of the reduction tree, that uniquely identifies the structure of the word. Furthermore, in the paper we investigate the problem of the minimization of Moore automata by defining a variant of Hopcroft's minimization algorithm. The use of this variant makes simpler the computation of the running time and consequ…

Discrete mathematicsAlgebra and Number TheoryReduction (recursion theory)Structure (category theory)Tree (graph theory)Theoretical Computer ScienceAutomatonCombinatoricsComputational Theory and MathematicsDFA minimizationFactorizationMinificationComputer Science::Formal Languages and Automata TheoryWord (computer architecture)Information SystemsMathematicsFundamenta Informaticae
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On the Shuffle of Star-Free Languages

2012

Motivated by the general problem to characterize families of languages closed under shuffle, we investigate some conditions under which the shuffle of two star-free languages is star-free. Some of the special cases here approached give rise to new problems in combinatorics on words.

Discrete mathematicsAlgebra and Number TheorySettore INF/01 - Informaticapure submonoidGeneral problemAbstract family of languagesRegular languageComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)Star (graph theory)star-free languageCone (formal languages)shuffle of languagePumping lemma for regular languagesTheoretical Computer ScienceCombinatorics on wordsComputational Theory and MathematicsRegular languagecombinatorics on words.Information SystemsMathematicsFundamenta Informaticae
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