Search results for "mean value"

showing 10 items of 53 documents

Properties of the intermediate point from a mean value theorem of the integral calculus - II

2019

Abstract In this paper we consider two continuous functions f, g : [a, b] → ℝ and we study for these ones, under which circumstances the intermediate point function is four order di erentiable at the point x = a and we calculate its derivative.

Integral calculusPure mathematicsIntermediate pointMean value theorem (divided differences)Probability and statisticsMathematicsGeneral Mathematics
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Morphological investigation of the deep pineal of the rat.

1980

The results presented here reveal that in adult Sprague-Dawley and Wistar rats the pineal gland represents a complex rather than a single organ. Regularly one can distinguish (i) pineal tissue in the intercommissural region as a deep pineal, (ii) a superficial pineal, which represents the major part of the pineal complex, and (iii) nearly always a parenchymal stalk of variable length. The volume of the deep pineal with the adjacent parenchymal stalk exhibits great interindividual variation. It amounts to 127 +/- 39 X 10(5) mum3 (mean +/- standard deviation). The histological appearance of the deep and superficial pineal tissue is fairly similar. The intrinsic cells of the deep and superfici…

Maleendocrine systemPathologymedicine.medical_specialtyCytoplasmHistologyTime FactorsKaryometryStatistics as TopicBiologyPineal GlandPathology and Forensic MedicineKaryometryPineal glandParenchymamedicineAnimalsCell NucleusMean valueCell BiologyAnatomyVariable lengthRatsmedicine.anatomical_structurenervous systemFemalehormones hormone substitutes and hormone antagonistsCell and tissue research
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The combined influence of grain size distribution and dislocation density on hardness of interstitial free steel

2020

Abstract Understanding the relationship between microstructure features and mechanical properties is of great significance for the improvement and specific adjustment of steel properties. The relationship between mean grain size and yield strength is established by the well-known Hall-Petch equation. But due to the complexity of the grain configuration within materials, considering only the mean value is unlikely to give a complete representation of the mechanical behavior. The classical Taylor equation is often used to account for the effect of dislocation density, but not thoroughly tested in combination with grain size influence. In the present study, systematic heat treatment routes and…

Materials sciencePolymers and PlasticsAnnealing (metallurgy)02 engineering and technology010402 general chemistryGrain size distribution01 natural scienceslaw.inventionCondensed Matter::Materials ScienceOptical microscopelawHardnessMaterials ChemistryDislocation densityComposite materialMechanical EngineeringMean valueMetals and Alloys021001 nanoscience & nanotechnologyMicrostructureGrain size0104 chemical sciencesMechanics of MaterialsParticle-size distributionCeramics and CompositesKurtosis0210 nano-technologyInterstitial free steel
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Mathematical analysis of projection errors in “paralleling technique” with respect to implant geometry

2001

Abstract: “Standardized” radiographs acquired in paralleling technique serve for monitoring of marginal bone levels around endosseous implants. Under clinical conditions, parallel adjustment of the film to the implant is beset with great difficulties. A mathematical model matching clinical conditions was developed to evaluate projection geometry within an interval of clinically relevant angulations (± 10° from parallel position). Radiographs of two implants (Frialit 2, Friadent AG, Mannheim, Germany; Implant No. 1: ∅ 3.8 mm, length 10 mm; Implant No. 2: ∅ 6.5 mm, length 13 mm) were separately produced per angulation (2° increments) at one focus-object distance (FO=322.9 mm). Implant images …

Materials sciencebusiness.industryRadiographyMean valueVertical edgeParalleling techniqueMagnificationGeometryImplantOral SurgeryBone levelProjection (set theory)businessClinical Oral Implants Research
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CONCENTRATION MEASUREMENTS OF 7Be AT GROUND LEVEL AIR AT PALERMO, ITALY- COMPARISON WITH SOLAR ACTIVITY OVER A PERIOD OF 21 YEARS

2003

Air activity concentrations of (7)Be in Palermo determined for the period January 1995-December 2002 by gamma-ray spectrometric analysis of particulate samples collected on paper filter by a high-volume sampler (approximately 900 m(3) h(-1)) are reported. The temporal behaviour of (7)Be concentration presents the same characteristics already observed in the measurements carried out over the previous 13-year (1982-1994) investigated period. The mean value of 5.06 mBq m(-3) obtained from the analysis of the 4636 particulate samples collected from 1982 to 2002 can be considered a representative value of (7)Be air concentration at ground level in our geographical zone. The comparison of long-te…

MeteorologyPeriod (periodic table)Health Toxicology and MutagenesisSolar activityAir pollutionAtmospheric sciencesmedicine.disease_causePalermoTroposphere7BemedicinePaper filterEnvironmental ChemistryInverse correlationWaste Management and DisposalRadioisotopesActivity concentrationMean valueGeneral MedicineParticulatesHistory 20th CenturyPollutionTemporal variationGround levelSpectrometry GammaItalyEnvironmental scienceBerylliumCosmic RadiationEnvironmental Monitoring
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Speciation of vanadium in urban, industrial and volcanic soils by a modified Tessier method

2016

Vanadium (V) concentrations in industrial, urban and volcanic soils were sequentially extracted using a modified Tessier's method. The voltammetric technique was used to determine V concentrations in solutions obtained from the various extraction steps. At the reference stations, the V concentrations (sum of four individual fractions) in soils ranged from 0.72 to 0.24 g kg(-1) dry weight (d.w.) with a mean value of 0.18 g kg(-1) d.w. V concentrations in soils of the Palermo urban area ranged from 0.34 to 2.1 g kg(-1) d.w., in the Milazzo (industrial) area between 0.26 and 5.4 g kg(-1) d.w. and in the volcanic area near Mt. Etna from 0.91 to 2.9 g kg(-1) d.w. When the V concentrations around…

Monitoringmedia_common.quotation_subject0211 other engineering and technologiesVanadiumchemistry.chemical_elementVolcanic Eruptions02 engineering and technologyChemical Fractionation010501 environmental sciencesManagement Monitoring Policy and Law01 natural sciencesManagement Monitoring Policy and Law.Dry weightIndustrySoil PollutantsEnvironmental ChemistryCities0105 earth and related environmental sciencesmedia_common021110 strategic defence & security studiesgeographygeography.geographical_feature_categoryPolicy and LawMean valueChemical fractionationExtraction (chemistry)Environmental and Occupational HealthPublic Health Environmental and Occupational HealthVanadiumElectrochemical TechniquesGeneral MedicineManagementSpeciationItalychemistryVolcanoEnvironmental chemistryPolicy and Law.Soil waterEnvironmental sciencePublic HealthEnvironmental Monitoring
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Bioaccessibility of Deoxynivalenol and its natural co-occurrence with Ochratoxin A and Aflatoxin B1 in Italian commercial pasta

2012

Abstract Cereals products for direct human consumption are rarely contaminated by moulds, unlike raw materials, which are often infected, either in the field or during storage. In this study, 27 samples of dried pasta characterised by size, packaging and marketing intended for young children consumption were collected and analysed by liquid chromatography (LC) and liquid chromatography–tandem mass spectrometry (LC–MS/MS) for Deoxynivalenol (DON), Ochratoxin A (OTA) and Aflatoxin B 1 (AFB 1 ) determination. The samples that showed the highest amounts of one of the mycotoxins were cooked for 10 min, digested with an in vitro gastrointestinal protocol and bioaccessibility values were calculate…

Ochratoxin AAflatoxinAflatoxin B1AFLATOXIN B-1deoxynivalenolFood ContaminationRaw materialToxicology01 natural scienceschemistry.chemical_compound0404 agricultural biotechnologyTandem Mass SpectrometryHumansAflatoxin BFood scienceMycotoxinTriticum2. Zero hungerDetection limitChemistry010401 analytical chemistryMean valueItalian pastafood and beveragesInfant04 agricultural and veterinary sciencesGeneral MedicineContamination040401 food scienceOchratoxins0104 chemical sciencesItalyInfant FoodTrichothecenesFood AnalysisFood ScienceChromatography LiquidFood and Chemical Toxicology
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Assaying multiple 125 I seeds with the well-ionization chamber SourceCheck 4π 33005 and a new insert

2015

PURPOSE To provide a practical solution that can be adopted in clinical routine to fulfill the AAPM-ESTRO recommendations regarding quality assurance of seeds used in prostate permanent brachytherapy. The aim is to design a new insert for the well-ionization chamber SourceCheck(4π) 33005 (PTW, Germany) that allows evaluating the mean air-kerma strength of up to ten (125)I seeds with one single measurement instead of measuring each seed individually. MATERIAL AND METHODS The material required is: a) the SourceCheck(4π) 33005 well-ionization chamber provided with a PTW insert to measure the air-kerma strength S K of one single seed at a time; b) a newly designed insert that accommodates ten s…

Original Paperprostatebusiness.industrybrachytherapySingle measurementMean valueAnalytical chemistryfood and beveragesinsertquality assuranceseedsClinical routinecomputer.software_genreInsert (molecular biology)Calibration coefficientOncologyIonization chamberMedicineRadiology Nuclear Medicine and imagingData miningbusinesscomputerwell chamberJournal of Contemporary Brachytherapy
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Facial analysis using a new clinical device: The Kattan Facio-meter.

2018

Background The aim of the study was to attempt to set average faciometric standards for Egyptians using the Kattan Facio-meter. Material and Methods The sample consisted of 180 faculty students with age range 17-25 years. It was divided into three groups; Angle Class I, II and III. Class II was further subdivided into divisions 1 and 2. Linear and angular facial measurements in relation to K plane were taken using the Kattan facio-meter. The measurements were correlated to Angle's classification and between genders. Results On comparing the different classes, Class II division 1 showed the statistically highest mean value for Orbitale-soft tissue A; p=0.042, Class II divisions 1 and 2 for O…

OrthodonticsResearchMean valueMentolabial sulcusOrthodontics:CIENCIAS MÉDICAS [UNESCO]Prominent lipsmedicine.anatomical_structureIncisorFacial analysisMaxillaUNESCO::CIENCIAS MÉDICASmedicineGeneral DentistryMathematicsJournal of clinical and experimental dentistry
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The forgotten mathematical legacy of Peano

2019

International audience; The formulations that Peano gave to many mathematical notions at the end of the 19th century were so perfect and modern that they have become standard today. A formal language of logic that he created, enabled him to perceive mathematics with great precision and depth. He described mathematics axiomatically basing the reasoning exclusively on logical and set-theoretical primitive terms and properties, which was revolutionary at that time. Yet, numerous Peano’s contributions remain either unremembered or underestimated.

PeanoPeano's axioms of arithmeticPeano's counterexamplesWeierstrass maximum theoremabstract measuresGeneral MathematicsClosure (topology)tangencyinterioranti-distributive familiesfoundationdefinitions by abstractionlinear differential equationsaxiom of choiceLogical conjunctionPeano axiomsproofFormal languageAxiom of choiceMSC: Primary 01A55 01A6003-03 26-03 28-03 34-03 54-03; Secondary15A75 26A03 26A2426B25 26B05 28A1228A15 28A75.affine exterior algebra[MATH]Mathematics [math]reduction formulaeMathematicsnonlinear differential equationsoptimality conditionsdifferentiation of measuressweeping-tangent theoremPeano's axioms of geometryPeano's filling curvereduction of mathematics to setssurface areaclosuremean value theoremDirichlet functionNonlinear differential equationssubtangentsEpistemologymeasure theoryplanar measurelower and upper limits of setsdistributive familiescompactnessmathematical definitions1886 existence theoremdifferentiabilityDissertationes Mathematicae
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