{"@context":{"dc":"http:\/\/purl.org\/dc\/elements\/1.1\/","skos":"http:\/\/www.w3.org\/2004\/02\/skos\/core#","skos:broader":{"@type":"@id"},"skos:inScheme":{"@type":"@id"},"skos:related":{"@type":"@id"},"skos:narrower":{"@type":"@id"},"skos:hasTopConcept":{"@type":"@id"},"skos:topConceptOf":{"@type":"@id"}},"@id":"https:\/\/digilab.ptb.de\/dkd\/refType\/vocab\/skos\/351","@type":"skos:Concept","skos:prefLabel":{"@language":"en-US","@value=":"envelopeFunctionMeasurementUncertaintyBalancedMean"},"skos:inScheme":"https:\/\/digilab.ptb.de\/dkd\/refType\/vocab\/","dct:created":"2025-12-01 14:37:21","skos:definition":[{"@lang":"en","@value":"Specifies the envelope function for measurement uncertainties of the arithmetic mean W\u2093\u2090. "},{"@lang":"de","@value":"Gibt die Einh\u00fcllende f\u00fcr die Messunsicherheiten des arithmetischen Mittels W\u2093\u2090 an. "}],"skos:historyNote":[{"@lang":"en","@value":"2025-12-01 Created "},{"@lang":"en","@value":"2026-01-05: Changed example note. "},{"@lang":"en-US","@value":"2026-03-18: example updated "}],"skos:example":[{"@lang":"en","@value":"\n<dcc:result refType=\"force_envelopeFunctionMeasurementUncertaintyBalancedMean force_increasing\">\n    <dcc:name>\n        <dcc:content lang=\"de\">Einh\u00fcllende f\u00fcr die Messunsicherheiten f\u00fcr ausgeglichenes Mittel W_X\u2090 (aufsteigende Kraftstufen)<\/dcc:content>\n        <dcc:content lang=\"en\">Envelope function for measurement uncertainties for arithmetic mean W_X\u2090 (increasing force levels)<\/dcc:content>\n    <\/dcc:name>\n    <dcc:description>\n        <dcc:content lang=\"de\">Die in der Tabelle oben aufgef\u00fchrten erweiterten relativen Messunsicherheiten W_X\u2090 k\u00f6nnen approximiert werden mit:<\/dcc:content>\n        <dcc:content lang=\"en\">The expanded relative uncertainties W_X\u2090 stated in the table above can be approximated with:<\/dcc:content>\n    <\/dcc:description>\n    <dcc:data>\n        <dcc:formula refType=\"force_function\">\n            <dcc:mathml>\n                <ml:math>\n                    <ml:apply>\n                        <ml:eq\/>\n                        <ml:ci id=\"envelopeFunctionMeasurementUncertaintyBalancedMeanIncreasingCompressive\">W\u2093\u2090<\/ml:ci>\n                        <ml:apply>\n                            <ml:plus\/>\n                            <ml:ci id=\"envelopeFunctionMeasurementUncertaintyBalancedMeanConstantIncreasingCompressiveCoefficient_d\">d<\/ml:ci>\n                            <ml:apply>\n                                <ml:times\/>\n                                <ml:ci id=\"envelopeFunctionMeasurementUncertaintyBalancedMeanLinearIncreasingCompressiveCoefficient_a\">a<\/ml:ci>\n                                <ml:ci>F<\/ml:ci>\n                            <\/ml:apply>\n                            <ml:apply>\n                                <ml:times\/>\n                                <ml:ci id=\"envelopeFunctionMeasurementUncertaintyBalancedMeanQuadraticIncreasingCompressiveCoefficient_b\">b<\/ml:ci>\n                                <ml:apply>\n                                    <ml:power\/>\n                                    <ml:ci>F<\/ml:ci>\n                                    <ml:cn>2<\/ml:cn>\n                                <\/ml:apply>\n                            <\/ml:apply>\n                            <ml:apply>\n                                <ml:times\/>\n                                <ml:ci id=\"envelopeFunctionMeasurementUncertaintyBalancedMeanCubicIncreasingCompressiveCoefficient_c\">c<\/ml:ci>\n                                <ml:apply>\n                                    <ml:power\/>\n                                    <ml:ci>F<\/ml:ci>\n                                    <ml:cn>3<\/ml:cn>\n                                <\/ml:apply>\n                            <\/ml:apply>\n                        <\/ml:apply>\n                    <\/ml:apply>\n                <\/ml:math>\n            <\/dcc:mathml>\n        <\/dcc:formula>\n        <dcc:list refType=\"force_functionParameters\">\n            <dcc:name>\n                <dcc:content lang=\"de\">Koeffizienten<\/dcc:content>\n                <dcc:content lang=\"en\">Coefficients<\/dcc:content>\n            <\/dcc:name>\n            <dcc:description>\n                <dcc:content lang=\"de\">Wenn diese Funktion f\u00fcr die Berechnung der relativen Messunsicherheit verwendet wird, muss die Einheit 1 zu Prozent konvertiert werden<\/dcc:content>\n                <dcc:content lang=\"en\">If you use this function for calculating the relative measurement uncertainty, you have to convert the unit \\one to \\percent.<\/dcc:content>\n            <\/dcc:description>\n            <dcc:quantity refType=\"force_coefficient force_linear\" refId=\"envelopeFunctionMeasurementUncertaintyBalancedMeanLinearIncreasingCompressiveCoefficient_a\">\n                <si:real>\n                    <si:value>3.28e-9<\/si:value>\n                    <si:unit>\\kilo\\newton\\tothe{-1}<\/si:unit>\n                <\/si:real>\n            <\/dcc:quantity>\n            <dcc:quantity refType=\"force_coefficient force_quadratic\" refId=\"envelopeFunctionMeasurementUncertaintyBalancedMeanQuadraticIncreasingCompressiveCoefficient_b\">\n                <si:real>\n                    <si:value>-5.49e-12<\/si:value>\n                    <si:unit>\\kilo\\newton\\tothe{-2}<\/si:unit>\n                <\/si:real>\n            <\/dcc:quantity>\n            <dcc:quantity refType=\"force_coefficient force_cubic\" refId=\"envelopeFunctionMeasurementUncertaintyBalancedMeanCubicIncreasingCompressiveCoefficient_c\">\n                <si:real>\n                    <si:value>2.49e-15<\/si:value>\n                    <si:unit>\\kilo\\newton\\tothe{-3}<\/si:unit>\n                <\/si:real>\n            <\/dcc:quantity>\n            <dcc:quantity refType=\"force_coefficient force_constant\" refId=\"envelopeFunctionMeasurementUncertaintyBalancedMeanConstantIncreasingCompressiveCoefficient_d\">\n                <si:real>\n                    <si:value>3.38e-4<\/si:value>\n                    <si:unit>\\one<\/si:unit>\n                <\/si:real>\n            <\/dcc:quantity>\n        <\/dcc:list>\n    <\/dcc:data>\n<\/dcc:result>\n "}],"skos:broader":["https:\/\/digilab.ptb.de\/dkd\/refType\/vocab\/skos\/133"],"skos:related":["https:\/\/digilab.ptb.de\/dkd\/refType\/vocab\/skos\/80"]}