<?xml version="1.0" encoding="utf-8"?><rdf:RDF  xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"  xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#"  xmlns:skos="http://www.w3.org/2004/02/skos/core#"  xmlns:map="http://www.w3c.rl.ac.uk/2003/11/21-skos-mapping#"  xmlns:dct="http://purl.org/dc/terms/"  xmlns:dc="http://purl.org/dc/elements/1.1/"><skos:ConceptScheme rdf:about="https://digilab.ptb.de/dkd/refType/vocab/">  <dc:title>Metrology Database</dc:title>  <dc:creator>German Calibration Service (DKD)</dc:creator>  <dc:contributor>Thomas Krah, Daniel Hutzschenreuter, Benjamin Gloger, Muhammed-Ali Demir, Moritz Jordan</dc:contributor>  <dc:publisher>Deutscher Kalibrierdienst (German Calibration Service)</dc:publisher>  <dc:rights></dc:rights>  <dc:subject>metrology, reference types, digital calibration certificate, certificate of conformity</dc:subject>  <dc:description><![CDATA[  ]]></dc:description>  <dc:date>2023-06-19</dc:date>  <dct:modified>2026-04-10 06:58:36</dct:modified>  <dc:language>en-US</dc:language>  </skos:ConceptScheme>  <skos:Concept rdf:about="https://digilab.ptb.de/dkd/refType/vocab/skos/351"><skos:prefLabel xml:lang="en-US">envelopeFunctionMeasurementUncertaintyBalancedMean</skos:prefLabel> <skos:definition xml:lang="en">Specifies the envelope function for measurement uncertainties of the arithmetic mean Wₓₐ. </skos:definition> <skos:definition xml:lang="de">Gibt die Einhüllende für die Messunsicherheiten des arithmetischen Mittels Wₓₐ an. </skos:definition> <skos:historyNote xml:lang="en">2025-12-01 Created </skos:historyNote> <skos:historyNote xml:lang="en">2026-01-05: Changed example note. </skos:historyNote> <skos:historyNote xml:lang="en-US">2026-03-18: example updated </skos:historyNote> <skos:example xml:lang="en">
&lt;dcc:result refType="force_envelopeFunctionMeasurementUncertaintyBalancedMean force_increasing"&gt;
    &lt;dcc:name&gt;
        &lt;dcc:content lang="de"&gt;Einhüllende für die Messunsicherheiten für ausgeglichenes Mittel W_Xₐ (aufsteigende Kraftstufen)&lt;/dcc:content&gt;
        &lt;dcc:content lang="en"&gt;Envelope function for measurement uncertainties for arithmetic mean W_Xₐ (increasing force levels)&lt;/dcc:content&gt;
    &lt;/dcc:name&gt;
    &lt;dcc:description&gt;
        &lt;dcc:content lang="de"&gt;Die in der Tabelle oben aufgeführten erweiterten relativen Messunsicherheiten W_Xₐ können approximiert werden mit:&lt;/dcc:content&gt;
        &lt;dcc:content lang="en"&gt;The expanded relative uncertainties W_Xₐ stated in the table above can be approximated with:&lt;/dcc:content&gt;
    &lt;/dcc:description&gt;
    &lt;dcc:data&gt;
        &lt;dcc:formula refType="force_function"&gt;
            &lt;dcc:mathml&gt;
                &lt;ml:math&gt;
                    &lt;ml:apply&gt;
                        &lt;ml:eq/&gt;
                        &lt;ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingCompressive"&gt;Wₓₐ&lt;/ml:ci&gt;
                        &lt;ml:apply&gt;
                            &lt;ml:plus/&gt;
                            &lt;ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanConstantIncreasingCompressiveCoefficient_d"&gt;d&lt;/ml:ci&gt;
                            &lt;ml:apply&gt;
                                &lt;ml:times/&gt;
                                &lt;ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanLinearIncreasingCompressiveCoefficient_a"&gt;a&lt;/ml:ci&gt;
                                &lt;ml:ci&gt;F&lt;/ml:ci&gt;
                            &lt;/ml:apply&gt;
                            &lt;ml:apply&gt;
                                &lt;ml:times/&gt;
                                &lt;ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanQuadraticIncreasingCompressiveCoefficient_b"&gt;b&lt;/ml:ci&gt;
                                &lt;ml:apply&gt;
                                    &lt;ml:power/&gt;
                                    &lt;ml:ci&gt;F&lt;/ml:ci&gt;
                                    &lt;ml:cn&gt;2&lt;/ml:cn&gt;
                                &lt;/ml:apply&gt;
                            &lt;/ml:apply&gt;
                            &lt;ml:apply&gt;
                                &lt;ml:times/&gt;
                                &lt;ml:ci id="envelopeFunctionMeasurementUncertaintyBalancedMeanCubicIncreasingCompressiveCoefficient_c"&gt;c&lt;/ml:ci&gt;
                                &lt;ml:apply&gt;
                                    &lt;ml:power/&gt;
                                    &lt;ml:ci&gt;F&lt;/ml:ci&gt;
                                    &lt;ml:cn&gt;3&lt;/ml:cn&gt;
                                &lt;/ml:apply&gt;
                            &lt;/ml:apply&gt;
                        &lt;/ml:apply&gt;
                    &lt;/ml:apply&gt;
                &lt;/ml:math&gt;
            &lt;/dcc:mathml&gt;
        &lt;/dcc:formula&gt;
        &lt;dcc:list refType="force_functionParameters"&gt;
            &lt;dcc:name&gt;
                &lt;dcc:content lang="de"&gt;Koeffizienten&lt;/dcc:content&gt;
                &lt;dcc:content lang="en"&gt;Coefficients&lt;/dcc:content&gt;
            &lt;/dcc:name&gt;
            &lt;dcc:description&gt;
                &lt;dcc:content lang="de"&gt;Wenn diese Funktion für die Berechnung der relativen Messunsicherheit verwendet wird, muss die Einheit 1 zu Prozent konvertiert werden&lt;/dcc:content&gt;
                &lt;dcc:content lang="en"&gt;If you use this function for calculating the relative measurement uncertainty, you have to convert the unit \one to \percent.&lt;/dcc:content&gt;
            &lt;/dcc:description&gt;
            &lt;dcc:quantity refType="force_coefficient force_linear" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanLinearIncreasingCompressiveCoefficient_a"&gt;
                &lt;si:real&gt;
                    &lt;si:value&gt;3.28e-9&lt;/si:value&gt;
                    &lt;si:unit&gt;\kilo\newton\tothe{-1}&lt;/si:unit&gt;
                &lt;/si:real&gt;
            &lt;/dcc:quantity&gt;
            &lt;dcc:quantity refType="force_coefficient force_quadratic" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanQuadraticIncreasingCompressiveCoefficient_b"&gt;
                &lt;si:real&gt;
                    &lt;si:value&gt;-5.49e-12&lt;/si:value&gt;
                    &lt;si:unit&gt;\kilo\newton\tothe{-2}&lt;/si:unit&gt;
                &lt;/si:real&gt;
            &lt;/dcc:quantity&gt;
            &lt;dcc:quantity refType="force_coefficient force_cubic" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanCubicIncreasingCompressiveCoefficient_c"&gt;
                &lt;si:real&gt;
                    &lt;si:value&gt;2.49e-15&lt;/si:value&gt;
                    &lt;si:unit&gt;\kilo\newton\tothe{-3}&lt;/si:unit&gt;
                &lt;/si:real&gt;
            &lt;/dcc:quantity&gt;
            &lt;dcc:quantity refType="force_coefficient force_constant" refId="envelopeFunctionMeasurementUncertaintyBalancedMeanConstantIncreasingCompressiveCoefficient_d"&gt;
                &lt;si:real&gt;
                    &lt;si:value&gt;3.38e-4&lt;/si:value&gt;
                    &lt;si:unit&gt;\one&lt;/si:unit&gt;
                &lt;/si:real&gt;
            &lt;/dcc:quantity&gt;
        &lt;/dcc:list&gt;
    &lt;/dcc:data&gt;
&lt;/dcc:result&gt;
 </skos:example><skos:inScheme rdf:resource="https://digilab.ptb.de/dkd/refType/vocab/"/><skos:related rdf:resource="https://digilab.ptb.de/dkd/refType/vocab/skos/80"/><skos:broader rdf:resource="https://digilab.ptb.de/dkd/refType/vocab/skos/133"/>  <dct:created>2025-12-01 14:37:21</dct:created>  </skos:Concept></rdf:RDF>