Search results for " Partial"

showing 6 items of 356 documents

A Method of Conversion of some Coefficient Inverse Parabolic Problems to a Unified Type of Integral-Differential Equation

2011

Coefficient inverse problems are reformulated to a unified integral differential equation. The presented method of conversion of the considered inverse problems to a unified Volterra integral-differential equation gives an opportunity to distribute the acquired results also to analogous inverse problems for non-linear parabolic equations of different types.

symbols.namesakeInverse scattering transformDifferential equationMathematical analysisInverse scattering problemGeneral EngineeringsymbolsInverseInverse problemIntegral equationVolterra integral equationParabolic partial differential equationMathematicsAdvanced Materials Research
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Itô-Stratonovitch Formula for the Wave Equation on a Torus

2010

We give an Ito-Stratonovitch formula for the wave equation on a torus, where we have no stochastic process associated to this partial differential equation. This gives a generalization of the classical Ito-Stratonovitch equation for diffusion in semi-group theory established by ourself in [18], [20].

symbols.namesakePartial differential equationDiffusion equationMathematics::ProbabilityDifferential equationMathematical analysisFirst-order partial differential equationsymbolsFokker–Planck equationFisher's equationWave equationd'Alembert's formulaMathematics
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A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne-Weinberger inequality

2015

We consider evolutionary reaction-diffusion problem with mixed Dirichlet--Robin boundary conditions. For this class of problems, we derive two-sided estimates of the distance between any function in the admissible energy space and exact solution of the problem. The estimates (majorants and minorants) are explicitly computable and do not contain unknown functions or constants. Moreover, it is proved that the estimates are equivalent to the energy norm of the deviation from the exact solution.

ta113InequalityApplied Mathematicsmedia_common.quotation_subjectta111Numerical Analysis (math.NA)Parabolic partial differential equationExact solutions in general relativityevolutionary reaction-diffusion problemsNorm (mathematics)FOS: MathematicsDiscrete Mathematics and CombinatoricsA priori and a posterioriApplied mathematicsBoundary value problemMathematics - Numerical AnalysisDirichlet–Robin boundary conditionsAnalysisMathematicsmedia_common
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Exploiting ongoing EEG with multilinear partial least squares during free-listening to music

2016

During real-world experiences, determining the stimulus-relevant brain activity is excitingly attractive and is very challenging, particularly in electroencephalography. Here, spectrograms of ongoing electroencephalogram (EEG) of one participant constructed a third-order tensor with three factors of time, frequency and space; and the stimulus data consisting of acoustical features derived from the naturalistic and continuous music formulated a matrix with two factors of time and the number of features. Thus, the multilinear partial least squares (PLS) conforming to the canonical polyadic (CP) model was performed on the tensor and the matrix for decomposing the ongoing EEG. Consequently, we …

ta113Multilinear mapmedicine.diagnostic_testBrain activity and meditationSpeech recognition02 engineering and technologyElectroencephalographyta3112Matrix decomposition03 medical and health sciences0302 clinical medicinetensor decompositionFrequency domainPartial least squares regression0202 electrical engineering electronic engineering information engineeringmedicineSpectrogramOngoing EEG020201 artificial intelligence & image processingmusicTime domain030217 neurology & neurosurgerymultilinear partial least squaresMathematics
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Peri-Implant Behavior of Tissue Level Dental Implants with a Convergent Neck

2021

Introduction: The aim of this retrospective study was to analyze the radiographic peri-implant bone loss of bone level implants and tissue level implants with a convergent neck in screw-retained single crowns and in screw-retained fixed partial prostheses, after two years of functional loading. Materials and methods: The sample was divided into two groups according to their type: Group I: supracrestal implants with convergent transmucosal neck

tissue levelHealth Toxicology and MutagenesisRadiographymedicine.medical_treatmentPeriAlveolar Bone LossDentistryMandibleProsthesisArticleBones.Dental implants.03 medical and health sciences0302 clinical medicinebone lossMaxillamedicineHumansHuesos.Dental Restoration FailureOdontología restauradora.Bone levelRetrospective StudiesDental Implantsbusiness.industryfixed partial prosthesisPrótesis dentales.Dientes - Implantes.RPublic Health Environmental and Occupational HealthMandibleTissue levelbone level030206 dentistryDentures.Treatment Outcomesingle crownMaxillaMedicineImplantbusinessDentistry Operative.Follow-Up Studies030215 immunologyInternational Journal of Environmental Research and Public Health
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Pringle maneuver during open partial nephrectomy for renal tumors

2017

Introduction. Sparing kidney tissue is important because studies show that patients who have their entire kidney removed are more likely to suffer from chronic kidney disease after surgery than patients who received a kidney-sparing partial nephrectomy. The aim of study is to show the effectives of Pringle maneuver for clamping renal pedicle in order to minimize warm ischemia during open partial nephrectomy. Material and method. We retrospectively analyzed 34 patients diagnosed with cT1 renal tumors between 2012 and 2016 and underwent open partial nephrectomy in Sibiu Urology Department. During the surgery we perform clamping of renal pedicle with Satinsky clamp or with the Pringle maneuver…

warm ischemiarenal cell carcinomaMedicine (General)medicine.medical_specialtypartial nephrectomybusiness.industryRUrologyR5-920Materials ChemistryMedicineMedicineOpen partial nephrectomypringle maneuverbusinessRomanian Journal of Medical Practice
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