Search results for "extension"

showing 10 items of 534 documents

Brand assessment: a key element of marketing strategy

1997

The growing importance of the brand in the life of the company and in consumer perceptions has led many authors to base their analysis on brand value rather than the traditional approach in which its definition, its functions and its characteristics were amply developed. It is becoming increasingly obvious that the brand generates value for the company: brand value is the value of the marginal cash flows generated by a product due to the fact that it is identified with a brand. Brand value is generated by a series of multidimensional assets which interact in a complex way: loyalty; awareness; perceived quality; and identity. One of the main problems for a company wishing to develop a brand …

MarketingReturn on marketing investmentMarketing mix modelingbusiness.industryBrand awarenessAdvertisingBrand valuationBrand managementMarketing managementBrand extensionManagement of Technology and InnovationBusinessBrand equityMarketingJournal of Product & Brand Management
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On Equivalent Random Traffic method extension

2011

The key result of the paper is the Equivalent Random Traffic (ERT) method extension for estimation of the throughput for schemes with traffic splitting. The excellent accuracy (relative error is less than 1%) is shown in numerical example. A numerical algorithm is given — how to estimate the throughput for schemes at traffic splitting and merging. The paper also contains new Erlang-B formula algorithm for non-integer number of channels based on parabolic approximation.

Mathematical optimizationApproximation errorTelecommunication channelsNumerical analysisComputer Science::Networking and Internet ArchitectureKey (cryptography)Integrated opticsExtension (predicate logic)Throughput (business)Erlang (unit)AlgorithmMathematics2011 Baltic Congress on Future Internet and Communications
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Confidence Intervals for the Mean Based on Exponential Type Inequalities and Empirical Likelihood

2013

For independent observations, recently, it has been proposed to construct the confidence intervals for the mean using exponential type inequalities. Although this method requires much weaker assumptions than those required by the classical methods, the resulting intervals are usually too large. Still in special cases, one can find some advantage of using bounded and unbounded Bernstein inequalities. In this paper, we discuss the applicability of this approach for dependent data. Moreover, we propose to use the empirical likelihood method both in the case of independent and dependent observations for inference regarding the mean. The advantage of empirical likelihood is its Bartlett correcta…

Mathematical optimizationEmpirical likelihoodArticle SubjectBounded functionStatisticsBernstein inequalitiesInferenceInterval (mathematics)Simple extensionExponential typeConfidence intervalMathematicsISRN Biomathematics
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Notice of Violation of IEEE Publication Principles: Robust Observer Design for Unknown Inputs Takagi–Sugeno Models

2013

This paper deals with the observer design for Takagi-Sugeno (T-S) fuzzy models subject to unknown inputs and disturbance affecting both states and outputs of the system. Sufficient conditions to design an unknown input T-S observer are given in linear matrix inequality (LMI) terms. Both continuous-time and discrete-time cases are studied. Relaxations are introduced by using intermediate variables. Extension to the case of unmeasured decision variables is also given. A numerical example is given to illustrate the effectiveness of the given results.

Mathematical optimizationObserver (quantum physics)Applied MathematicsDecision theoryLinear matrix inequalityFuzzy control systemExtension (predicate logic)Fuzzy logicDecision variablesComputational Theory and MathematicsTakagi sugenoComputer Science::Systems and ControlArtificial IntelligenceControl and Systems EngineeringControl theoryMathematicsIEEE Transactions on Fuzzy Systems
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Best Proximity Points for Some Classes of Proximal Contractions

2013

Given a self-mapping g: A → A and a non-self-mapping T: A → B, the aim of this work is to provide sufficient conditions for the existence of a unique point x ∈ A, called g-best proximity point, which satisfies d g x, T x = d A, B. In so doing, we provide a useful answer for the resolution of the nonlinear programming problem of globally minimizing the real valued function x → d g x, T x, thereby getting an optimal approximate solution to the equation T x = g x. An iterative algorithm is also presented to compute a solution of such problems. Our results generalize a result due to Rhoades (2001) and hence such results provide an extension of Banach's contraction principle to the case of non-s…

Mathematical optimizationmetric spacesArticle SubjectIterative methodApplied Mathematicslcsh:MathematicsWork (physics)proximal contractionbest proximity pointExtension (predicate logic)Resolution (logic)lcsh:QA1-939Nonlinear programmingReal-valued functionPoint (geometry)Settore MAT/03 - GeometriaContraction principleAnalysisMathematicsAbstract and Applied Analysis
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Bi-Lipschitz invariance of planar BV- and W1,1-extension domains

2021

We prove that a bi-Lipschitz image of a planar $BV$-extension domain is also a $BV$-extension domain, and that a bi-Lipschitz image of a planar $W^{1,1}$-extension domain is again a $W^{1,1}$-extension domain.

Mathematics - Functional AnalysisMathematics - Classical Analysis and ODEsBV-extensionClassical Analysis and ODEs (math.CA)FOS: MathematicsSobolev extension46E35funktionaalianalyysiFunctional Analysis (math.FA)
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Quasisymmetric extension on the real line

2018

We give a geometric characterization of the sets $E\subset \mathbb{R}$ that satisfy the following property: every quasisymmetric embedding $f: E \to \mathbb{R}^n$ extends to a quasisymmetric embedding $f:\mathbb{R}\to\mathbb{R}^N$ for some $N\geq n$.

Mathematics::Combinatoricsrelatively connected setsApplied MathematicsGeneral Mathematics010102 general mathematicsta111Extension (predicate logic)Characterization (mathematics)01 natural sciencesCombinatoricsfunktioteoria0103 physical sciencesMathematics::Metric GeometryEmbedding010307 mathematical physics0101 mathematicsReal linequasisymmetric extensionMathematicsProceedings of the American Mathematical Society
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Optimal Extensions of Conformal Mappings from the Unit Disk to Cardioid-Type Domains

2019

AbstractThe conformal mapping $$f(z)=(z+1)^2 $$ f ( z ) = ( z + 1 ) 2 from $${\mathbb {D}}$$ D onto the standard cardioid has a homeomorphic extension of finite distortion to entire $${\mathbb {R}}^2 .$$ R 2 . We study the optimal regularity of such extensions, in terms of the integrability degree of the distortion and of the derivatives, and these for the inverse. We generalize all outcomes to the case of conformal mappings from $${\mathbb {D}}$$ D onto cardioid-type domains.

Mathematics::Dynamical SystemsDegree (graph theory)Mathematics - Complex Variables010102 general mathematicsInverseConformal mapType (model theory)01 natural sciencesUnit diskCombinatoricsDistortion (mathematics)inner cuspDifferential geometryCardioid0103 physical sciencesFOS: Mathematicshomeomorphisms of finite distortionanalyyttinen geometria010307 mathematical physicsGeometry and TopologyComplex Variables (math.CV)0101 mathematicsextensionsMathematicsThe Journal of Geometric Analysis
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Controlled diffeomorphic extension of homeomorphisms

2018

Let $\Omega$ be an internal chord-arc Jordan domain and $\varphi:\mathbb S\rightarrow\partial\Omega$ be a homeomorphism. We show that $\varphi$ has finite dyadic energy if and only if $\varphi$ has a diffeomorphic extension $h: \mathbb D\rightarrow \Omega$ which has finite energy.

Mathematics::Functional AnalysisPure mathematicsMathematics::Dynamical SystemsMathematics - Complex VariablesdiffeomorphismApplied Mathematicsta111010102 general mathematicsHigh Energy Physics::PhenomenologyPoisson extensionExtension (predicate logic)01 natural sciencesHomeomorphismfunktioteoria010101 applied mathematicsDomain (ring theory)chord-arc curveFOS: MathematicsDiffeomorphismtopologia0101 mathematicsComplex Variables (math.CV)AnalysisEnergy (signal processing)Mathematics
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Beitrag zum Divisionsproblem for Ultradistributionen und ein Fortsetzungssatz

1979

In this note we give a characterization of ultradistributions, which are supported by a single point. As a consequence we get a necessary condition for the solvability of the division problem for ultradistributions similar to the well-known condition in the case of distributions (cf. Malgrange [12]). Finally an extension theorem for ultradistributions is proved, using exponential growth conditions, that generalize the condition of Lojasiewicz [11].

Mathematics::Functional AnalysisPure mathematicsNumber theoryExponential growthGeneral MathematicsCalculusAlgebraic geometryExtension (predicate logic)Characterization (mathematics)Division (mathematics)Single pointMathematicsManuscripta Mathematica
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