{"assistant":{"explanations":[{"calculationRefs":["variance"],"text":"Первый шаг: рассеяние отдельных наблюдений вокруг среднего."},{"calculationRefs":["variance-mean"],"text":"Дисперсия ряда, делённая на число наблюдений."},{"calculationRefs":["standard"],"text":"Корень из дисперсии среднего и есть стандартная неопределённость оценки."},{"calculationRefs":["combined"],"text":"Вклады входных величин складываются по закону распространения неопределённости."},{"calculationRefs":["dof"],"text":"Формула Уэлча — Саттертуэйта переводит вклады в одно число степеней свободы."},{"calculationRefs":["expanded"],"text":"Коэффициент охвата берётся из таблицы Стьюдента по этому числу степеней свободы."}],"origin":"assistant","summary":"Путь один и тот же в любой лаборатории: экспериментальная дисперсия ряда, из неё дисперсия среднего, из неё стандартная неопределённость типа A. Затем вклады складываются в суммарную стандартную неопределённость, эффективное число степеней свободы берётся по формуле Уэлча — Саттертуэйта, а коэффициент охвата для 95 % читается из таблицы Стьюдента. 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1)"}],"locator":"clause/4.2.2","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:2d44543e124807646c6093b2dc3de0d06c8e456d4b5a2d858f9b22960404bc65","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_2_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.3, уравнение (5): дисперсия среднего s²(q̄) = s²(qk)/n; u(xi) = s(X̄i) — стандартная неопределённость типа A"}],"locator":"clause/4.2.3","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:c12ecaec8df834477c7d8f1eddace303ae26da0a2543972f8f3ede1661526a2c","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_G_3_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM G.3.3: степени свободы ν = n − 1 для величины, оценённой средним n независимых наблюдений"}],"locator":"annex/G.3.3","package":"urn:jcgm:clir:gum","visibility":"public"}],"text":"experimental_variance_ratio: **TRUE_ONLY** — установлено\nВыведено правом: observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k4, 101/10); observation_count(urn:jcgm:gum:test:x1, 5); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k5, 99/10); degrees_of_freedom(urn:jcgm:gum:test:x1, 4); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k1, 10/1); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k2, 51/5); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k3, 49/5); observation_ratio_count(urn:jcgm:gum:test:x1, 5); arithmetic_mean_ratio(urn:jcgm:gum:test:x1, 10/1); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k5, 1/100); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k1, 0/1); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k4, 1/100); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k2, 1/25); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k3, 1/25); experimental_variance_ratio(urn:jcgm:gum:test:x1, 1/40); variance_of_mean_ratio(urn:jcgm:gum:test:x1, 1/200); type_a_evaluated(urn:jcgm:gum:test:x1); standard_variance_ratio(urn:jcgm:gum:test:x1, 1/200)\nПрименены правила: ArithmeticMean, ExperimentalVariance, ObservationCount, ObservationInInputUnit, ObservationRatioCount, SquaredDeviation, TypeADegreesOfFreedom, TypeAEvaluated, TypeAStandardVariance, VarianceOfMean\nПраво (вне юрисдикции государства): JCGM GUM — оценивание неопределённости измерения: типы A и B, закон распространения, коэффициент охвата и таблица G.2 — доктрина (programHash sha256:2ee38f51646e…)\nВместе с актами: units-si\nproof-граф: 38 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"установлено","missingInputs":[],"truthStatus":"TRUE_ONLY"},"closedEditionRules":[],"derived":["observation_ratio(urn:jcgm:gum:test:x1, 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серии"}],"package":"urn:jcgm:clir:gum","strength":"strict"},{"id":"urn:jcgm:clir:gum#ObservationInInputUnit","kind":"rule","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.1: наблюдение переводится в число делением на единицу входа; несовместимая размерность отвергается"}],"package":"urn:jcgm:clir:gum","strength":"strict"},{"id":"urn:jcgm:clir:gum#ObservationRatioCount","kind":"rule","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.1: наблюдение без значения в сумму не входит и ломает равенство с n — среднее по неполной серии не выводится"}],"package":"urn:jcgm:clir:gum","strength":"strict"},{"id":"urn:jcgm:clir:gum#SquaredDeviation","kind":"rule","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.2: отклонение каждого наблюдения от среднего возводится в квадрат"}],"package":"urn:jcgm:clir:gum","strength":"strict"},{"id":"urn:jcgm:clir:gum#TypeADegreesOfFreedom","kind":"rule","labels":[{"language":"ru","status":"unofficial","text":"GUM G.3.3: для среднего n независимых наблюдений ν = n − 1"}],"package":"urn:jcgm:clir:gum","strength":"strict"},{"id":"urn:jcgm:clir:gum#TypeAEvaluated","kind":"rule","labels":[{"language":"ru","status":"unofficial","text":"GUM 3.3.5, 4.2.3: компонента, оценённая по серии наблюдений, есть оценивание типа A"}],"package":"urn:jcgm:clir:gum","strength":"strict"},{"id":"urn:jcgm:clir:gum#TypeAStandardVariance","kind":"rule","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.3: дисперсия среднего есть дисперсия типа A входной оценки"}],"package":"urn:jcgm:clir:gum","strength":"strict"},{"id":"urn:jcgm:clir:gum#VarianceOfMean","kind":"rule","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.3, уравнение (5): s²(q̄) = s²(qk)/n; u²(xi) = s²(X̄i)"}],"package":"urn:jcgm:clir:gum","strength":"strict"},{"id":"urn:jcgm:clir:gum#arithmetic_mean_ratio","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Среднее арифметическое q̄ наблюдений в единицах входа — оценка xi"}],"name":"arithmetic_mean_ratio","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#arithmetic_mean_ratio/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#arithmetic_mean_ratio/arg/mean","labels":[],"name":"mean","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#degrees_of_freedom","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Степени свободы νi стандартной неопределённости входа"}],"name":"degrees_of_freedom","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#degrees_of_freedom/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#degrees_of_freedom/arg/nu","labels":[],"name":"nu","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#experimental_variance_ratio","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Экспериментальная дисперсия наблюдений s²(qk) в квадрате единицы входа"}],"name":"experimental_variance_ratio","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#experimental_variance_ratio/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#experimental_variance_ratio/arg/s2","labels":[],"name":"s2","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#input_unit","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Единица входной величины, предъявленная единичной величиной; в ней считаются дисперсии входа"}],"name":"input_unit","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#input_unit/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#input_unit/arg/one","labels":[],"name":"one","type":{"name":"urn:law:std#Quantity"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#observation_count","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Число n независимых наблюдений входной величины"}],"name":"observation_count","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#observation_count/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#observation_count/arg/n","labels":[],"name":"n","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#observation_of","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Наблюдение входит в серию независимых повторных наблюдений входной величины"}],"name":"observation_of","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#observation_of/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#observation_of/arg/k","labels":[],"name":"k","type":{"name":"urn:jcgm:clir:gum#Observation"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#observation_ratio","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Наблюдение qk в единицах входа, точной дробью"}],"name":"observation_ratio","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#observation_ratio/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#observation_ratio/arg/k","labels":[],"name":"k","type":{"name":"urn:jcgm:clir:gum#Observation"}},{"id":"urn:jcgm:clir:gum#observation_ratio/arg/a","labels":[],"name":"a","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#observation_ratio_count","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Число наблюдений, переведённых в единицы входа; равно n лишь когда у каждого наблюдения есть значение"}],"name":"observation_ratio_count","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#observation_ratio_count/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#observation_ratio_count/arg/n","labels":[],"name":"n","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#observed_value","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Значение наблюдения величиной с единицей"}],"name":"observed_value","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#observed_value/arg/k","labels":[],"name":"k","type":{"name":"urn:jcgm:clir:gum#Observation"}},{"id":"urn:jcgm:clir:gum#observed_value/arg/q","labels":[],"name":"q","type":{"name":"urn:law:std#Quantity"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#squared_deviation","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Квадрат отклонения наблюдения от среднего (qj − q̄)²"}],"name":"squared_deviation","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#squared_deviation/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#squared_deviation/arg/k","labels":[],"name":"k","type":{"name":"urn:jcgm:clir:gum#Observation"}},{"id":"urn:jcgm:clir:gum#squared_deviation/arg/d","labels":[],"name":"d","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#standard_variance_ratio","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Оценённая дисперсия u²(xi) в квадрате единицы входа, точной дробью; получена оцениванием типа A или B"}],"name":"standard_variance_ratio","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#standard_variance_ratio/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#standard_variance_ratio/arg/variance","labels":[],"name":"variance","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#type_a_evaluated","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Дисперсия входа получена оцениванием типа A — статистикой повторных наблюдений"}],"name":"type_a_evaluated","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#type_a_evaluated/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#variance_of_mean_ratio","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Экспериментальная дисперсия среднего s²(q̄) = s²(qk)/n — дисперсия типа A входной оценки"}],"name":"variance_of_mean_ratio","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#variance_of_mean_ratio/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#variance_of_mean_ratio/arg/v","labels":[],"name":"v","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":37,"fragments":["urn:jcgm:clir:gum#GUM_4_2_1","urn:jcgm:clir:gum#GUM_4_2_2","urn:jcgm:clir:gum#GUM_4_2_3","urn:jcgm:clir:gum#GUM_G_3_3"],"jurisdiction":"none","namespace":"urn:jcgm:clir:gum","package":"jcgm-gum","title":"JCGM GUM — оценивание неопределённости измерения: типы A и B, закон распространения, коэффициент охвата и таблица G.2 — вне юрисдикции государства — 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mm"],"predicate":"observed_value"}],"kind":"truth","legalTime":"2026-09-06","package":"jcgm-gum","predicate":"standard_variance_ratio","proof":true},"sources":[{"contentHash":"sha256:f7a03ca15519c6bcef0a2336cf5d72d2fba1d52c993d33a65300567820e98150","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_2_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.1, уравнение (3): наилучшая оценка ожидания — среднее арифметическое n независимых наблюдений"}],"locator":"clause/4.2.1","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:314c9d1818a97e32db1db0dcbfc279126ebd33faaf7c7951c3f596902d63423a","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_2_2","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.2, уравнение (4): экспериментальная дисперсия наблюдений s²(qk) = Σ(qj − q̄)² / (n − 1)"}],"locator":"clause/4.2.2","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:2d44543e124807646c6093b2dc3de0d06c8e456d4b5a2d858f9b22960404bc65","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_2_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.3, уравнение (5): дисперсия среднего s²(q̄) = s²(qk)/n; u(xi) = s(X̄i) — стандартная неопределённость типа A"}],"locator":"clause/4.2.3","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:c12ecaec8df834477c7d8f1eddace303ae26da0a2543972f8f3ede1661526a2c","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_G_3_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM G.3.3: степени свободы ν = n − 1 для величины, оценённой средним n независимых наблюдений"}],"locator":"annex/G.3.3","package":"urn:jcgm:clir:gum","visibility":"public"}],"text":"standard_variance_ratio: **TRUE_ONLY** — установлено\nВыведено правом: observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k4, 101/10); observation_count(urn:jcgm:gum:test:x1, 5); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k5, 99/10); degrees_of_freedom(urn:jcgm:gum:test:x1, 4); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k1, 10/1); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k2, 51/5); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k3, 49/5); observation_ratio_count(urn:jcgm:gum:test:x1, 5); arithmetic_mean_ratio(urn:jcgm:gum:test:x1, 10/1); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k5, 1/100); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k1, 0/1); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k4, 1/100); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k2, 1/25); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k3, 1/25); experimental_variance_ratio(urn:jcgm:gum:test:x1, 1/40); variance_of_mean_ratio(urn:jcgm:gum:test:x1, 1/200); type_a_evaluated(urn:jcgm:gum:test:x1); standard_variance_ratio(urn:jcgm:gum:test:x1, 1/200)\nПрименены правила: ArithmeticMean, ExperimentalVariance, ObservationCount, ObservationInInputUnit, ObservationRatioCount, SquaredDeviation, TypeADegreesOfFreedom, TypeAEvaluated, TypeAStandardVariance, VarianceOfMean\nПраво (вне юрисдикции государства): JCGM GUM — оценивание неопределённости измерения: типы A и B, закон распространения, коэффициент охвата и таблица G.2 — доктрина (programHash sha256:2ee38f51646e…)\nВместе с актами: units-si\nproof-граф: 38 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"установлено","missingInputs":[],"truthStatus":"TRUE_ONLY"},"closedEditionRules":[],"derived":["observation_ratio(urn:jcgm:gum:test:x1, 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mm"],"predicate":"observed_value"}],"kind":"truth","legalTime":"2026-09-06","package":"jcgm-gum","predicate":"standard_uncertainty","proof":true},"sources":[{"contentHash":"sha256:02d5a0c3b8ef3645f28e49d9cc9759bb01784e204bd353173fac724e68c63bac","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_2_3_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 2.3.1: стандартная неопределённость — неопределённость, выраженная стандартным отклонением"}],"locator":"clause/2.3.1","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:f7a03ca15519c6bcef0a2336cf5d72d2fba1d52c993d33a65300567820e98150","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_2_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.1, уравнение (3): наилучшая оценка ожидания — среднее арифметическое n независимых наблюдений"}],"locator":"clause/4.2.1","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:314c9d1818a97e32db1db0dcbfc279126ebd33faaf7c7951c3f596902d63423a","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_2_2","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.2, уравнение (4): экспериментальная дисперсия наблюдений s²(qk) = Σ(qj − q̄)² / (n − 1)"}],"locator":"clause/4.2.2","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:2d44543e124807646c6093b2dc3de0d06c8e456d4b5a2d858f9b22960404bc65","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_2_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.2.3, уравнение (5): дисперсия среднего s²(q̄) = s²(qk)/n; u(xi) = s(X̄i) — стандартная неопределённость типа A"}],"locator":"clause/4.2.3","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:c12ecaec8df834477c7d8f1eddace303ae26da0a2543972f8f3ede1661526a2c","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_G_3_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM G.3.3: степени свободы ν = n − 1 для величины, оценённой средним n независимых наблюдений"}],"locator":"annex/G.3.3","package":"urn:jcgm:clir:gum","visibility":"public"}],"text":"standard_uncertainty: **TRUE_ONLY** — установлено\nВыведено правом: observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k3, 49/5); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k4, 101/10); observation_count(urn:jcgm:gum:test:x1, 5); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k5, 99/10); degrees_of_freedom(urn:jcgm:gum:test:x1, 4); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k1, 10/1); observation_ratio(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k2, 51/5); observation_ratio_count(urn:jcgm:gum:test:x1, 5); arithmetic_mean_ratio(urn:jcgm:gum:test:x1, 10/1); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k5, 1/100); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k2, 1/25); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k1, 0/1); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k4, 1/100); squared_deviation(urn:jcgm:gum:test:x1, urn:jcgm:gum:test:k3, 1/25); experimental_variance_ratio(urn:jcgm:gum:test:x1, 1/40); variance_of_mean_ratio(urn:jcgm:gum:test:x1, 1/200); type_a_evaluated(urn:jcgm:gum:test:x1); standard_variance_ratio(urn:jcgm:gum:test:x1, 1/200); standard_uncertainty(urn:jcgm:gum:test:x1, 0.071)\nПрименены правила: ArithmeticMean, ExperimentalVariance, ObservationCount, ObservationInInputUnit, ObservationRatioCount, SquaredDeviation, StandardUncertaintyFromVariance, TypeADegreesOfFreedom, TypeAEvaluated, TypeAStandardVariance, VarianceOfMean\nПраво (вне юрисдикции государства): JCGM GUM — оценивание неопределённости измерения: типы A и B, закон распространения, коэффициент охвата и таблица G.2 — доктрина (programHash sha256:2ee38f51646e…)\nВместе с актами: units-si\nproof-граф: 40 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"установлено","missingInputs":[],"truthStatus":"TRUE_ONLY"},"closedEditionRules":[],"derived":["input_count(urn:jcgm:gum:test:r, 2)","scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 1/1)","variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 144/1)","scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 1/1)","variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 75/1)","contribution_count(urn:jcgm:gum:test:r, 2)","combined_variance_ratio(urn:jcgm:gum:test:r, 219/1)","combined_standard_uncertainty(urn:jcgm:gum:test:r, 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дробью"}],"name":"combined_variance_ratio","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#combined_variance_ratio/arg/r","labels":[],"name":"r","type":{"name":"jcgm.vim#Result"}},{"id":"urn:jcgm:clir:gum#combined_variance_ratio/arg/variance","labels":[],"name":"variance","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#contribution_count","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Число вкладов в суммарную дисперсию по позициям; равно N лишь при ровно одной дисперсии у каждого 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a²/3"}],"locator":"clause/4.3.7","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:7a8e9158f86dba2ca0a433c8f3d750d7b485712825dcaeaaf31c0dadf584b2d1","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_5_1_2","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 5.1.2, уравнение (10): суммарная дисперсия — сумма квадратов произведений коэффициентов чувствительности на стандартные неопределённости; uc — положительный корень"}],"locator":"clause/5.1.2","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:59fa89c7f0d98cf029ec8b5584815e31fe2c72e95f3c40aab16f661c58412ae6","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_5_1_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 5.1.3: коэффициенты чувствительности ci = ∂f/∂xi; вклад ui(y) = |ci|·u(xi)"}],"locator":"clause/5.1.3","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:ff4f36be139c61963928263a270ac6762cadd17ec5a58ac2d3a320d56dac8611","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_5_2_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 5.2.1: уравнение (10) верно лишь для независимых или некоррелированных входных величин"}],"locator":"clause/5.2.1","package":"urn:jcgm:clir:gum","visibility":"public"}],"text":"combined_standard_uncertainty: **TRUE_ONLY** — установлено\nВыведено правом: input_count(urn:jcgm:gum:test:r, 2); scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 1/1); variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 144/1); scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 1/1); variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 75/1); contribution_count(urn:jcgm:gum:test:r, 2); combined_variance_ratio(urn:jcgm:gum:test:r, 219/1); combined_standard_uncertainty(urn:jcgm:gum:test:r, 15); information_basis_recorded(urn:jcgm:gum:test:r); dispersion_parameter(urn:jcgm:gum:test:r, 15); obtained_from_input_uncertainties(urn:jcgm:gum:test:r, 15); expressed_as_standard_deviation(urn:jcgm:gum:test:r, 15)\n…и ещё 5 выведенных фактов вне предмета вопроса (полный вывод — law_explain)\nПрименены правила: CombinedStandardUncertainty, CombinedVarianceUncorrelated, ComputedUncertaintyHasRecordedBasis, ComputedUncertaintyIsDispersionParameter, ComputedUncertaintyIsObtainedFromInputs, ComputedUncertaintyIsStandardDeviation, ContributionCount, ExactUncertaintyFromQuotedMultiple, InputCount, ScaleFactorFromUnitSensitivity, TypeBEvaluatedFromQuoted, TypeBEvaluatedFromRectangularHalfWidth, TypeBFromQuotedMultiple, TypeBFromRectangularHalfWidth, VarianceContribution\nПраво (вне юрисдикции государства): JCGM GUM — оценивание неопределённости измерения: типы A и B, закон распространения, коэффициент охвата и таблица G.2 — доктрина (programHash sha256:2ee38f51646e…)\nВместе с актами: units-si\nproof-граф: 31 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"установлено","missingInputs":[],"truthStatus":"TRUE_ONLY"},"closedEditionRules":[],"derived":["input_count(urn:jcgm:gum:test:r, 2)","scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 1/1)","scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 1/1)","variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 16/1)","welch_satterthwaite_term(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 0/1)","variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 9/1)","contribution_count(urn:jcgm:gum:test:r, 2)","combined_variance_ratio(urn:jcgm:gum:test:r, 25/1)","welch_satterthwaite_term(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 81/4)","welch_satterthwaite_term_count(urn:jcgm:gum:test:r, 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сведениям"}],"locator":"clause/3.3.5","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:400803fd5a5f814755504ff43d3da45ae85aa2389e0e14a6ce8cacecbac8e7d4","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_1_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.1.1: измеряемая величина Y = f(X1, …, XN) определяется через N входных величин"}],"locator":"clause/4.1.1","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:b941450c7fdcb30cb56d58bd6f50659c62824a82a28c47071705b345305ff55f","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_3_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.3.3: указанная неопределённость как кратное стандартного отклонения — u равна указанному значению, делённому на множитель"}],"locator":"clause/4.3.3","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:7a8e9158f86dba2ca0a433c8f3d750d7b485712825dcaeaaf31c0dadf584b2d1","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_5_1_2","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 5.1.2, уравнение (10): суммарная дисперсия — сумма квадратов произведений коэффициентов чувствительности на стандартные неопределённости; uc — положительный корень"}],"locator":"clause/5.1.2","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:59fa89c7f0d98cf029ec8b5584815e31fe2c72e95f3c40aab16f661c58412ae6","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_5_1_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 5.1.3: коэффициенты чувствительности ci = ∂f/∂xi; вклад ui(y) = |ci|·u(xi)"}],"locator":"clause/5.1.3","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:ff4f36be139c61963928263a270ac6762cadd17ec5a58ac2d3a320d56dac8611","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_5_2_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 5.2.1: уравнение (10) верно лишь для независимых или некоррелированных входных величин"}],"locator":"clause/5.2.1","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:cd242efb3b39d05d4ff5af236d46bfbfbc20a25c9cbc134dea4d3cb47b587f9f","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_G_4_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM G.4.1, уравнение (G.2b): формула Уэлча–Саттертуэйта νeff = uc⁴/Σ(ui⁴/νi); нецелое νeff усекается до меньшего целого"}],"locator":"annex/G.4.1","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:2c94836b8826bbeef2b6d3312d199eda791ccd89796a58bbd453270720640655","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_G_4_2","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM G.4.2: степени свободы для оценки типа B назначаются по надёжности u(xi); при точно известной u — νi → ∞"}],"locator":"annex/G.4.2","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:e4a07e65fdbdef97cb4a51ba27d666b609ac60d222817a93178a4508b2f2533f","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_G_6_4","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM G.6.4: kp = tp(νeff) из таблицы G.2; Up = kp·uc(y)"}],"locator":"annex/G.6.4","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:e8457780e9f6a9b2a3bd5ce7dbd05e96cbd6e625e01f1c09e7d6d778fc6188bc","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"table","id":"urn:jcgm:clir:gum#GUM_TABLE_G_2","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM таблица G.2: значения tp(ν) для долей p, включая 95 %; строка ν = ∞ равна kp нормального распределения"}],"locator":"annex/G/table-G.2","package":"urn:jcgm:clir:gum","visibility":"public"}],"text":"effective_degrees_of_freedom: **TRUE_ONLY** — установлено\nВыведено правом: input_count(urn:jcgm:gum:test:r, 2); scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 1/1); scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 1/1); variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 16/1); welch_satterthwaite_term(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 0/1); variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 9/1); contribution_count(urn:jcgm:gum:test:r, 2); combined_variance_ratio(urn:jcgm:gum:test:r, 25/1); welch_satterthwaite_term(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 81/4); welch_satterthwaite_term_count(urn:jcgm:gum:test:r, 2); welch_satterthwaite_denominator(urn:jcgm:gum:test:r, 81/4); effective_degrees_of_freedom(urn:jcgm:gum:test:r, 30); coverage_factor_95(urn:jcgm:gum:test:r, 2.04)\n…и ещё 7 выведенных фактов вне предмета вопроса (полный вывод — law_explain)\nПрименены правила: CombinedVarianceUncorrelated, ContributionCount, CoverageFactor95Nu30, EffectiveDegreesOfFreedom, ExactUncertaintyFromQuotedMultiple, InputCount, ScaleFactorFromUnitSensitivity, TypeBDegreesOfFreedom, TypeBEvaluatedFromQuoted, TypeBFromQuotedMultiple, VarianceContribution, WelchSatterthwaiteDenominator, WelchSatterthwaiteTermCount, WelchSatterthwaiteTermExactlyKnown, WelchSatterthwaiteTermFinite\nПраво (вне юрисдикции государства): JCGM GUM — оценивание неопределённости измерения: типы A и B, закон распространения, коэффициент охвата и таблица G.2 — доктрина (programHash sha256:2ee38f51646e…)\nВместе с актами: units-si\nproof-граф: 36 узлов — поле evaluation готово для law_explain"},{"answer":{"answer":{"evaluationStatus":"COMPUTED","kind":"TRUTH","meaning":"установлено","missingInputs":[],"truthStatus":"TRUE_ONLY"},"closedEditionRules":[],"derived":["input_count(urn:jcgm:gum:test:r, 2)","scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 1/1)","variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 9/1)","welch_satterthwaite_term(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 81/4)","scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 1/1)","variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 16/1)","contribution_count(urn:jcgm:gum:test:r, 2)","combined_variance_ratio(urn:jcgm:gum:test:r, 25/1)","combined_standard_uncertainty(urn:jcgm:gum:test:r, 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результата"}],"name":"variance_contribution","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#variance_contribution/arg/r","labels":[],"name":"r","type":{"name":"jcgm.vim#Result"}},{"id":"urn:jcgm:clir:gum#variance_contribution/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#variance_contribution/arg/w","labels":[],"name":"w","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#welch_satterthwaite_denominator","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Знаменатель Σ ui⁴(y)/νi формулы (G.2b)"}],"name":"welch_satterthwaite_denominator","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#welch_satterthwaite_denominator/arg/r","labels":[],"name":"r","type":{"name":"jcgm.vim#Result"}},{"id":"urn:jcgm:clir:gum#welch_satterthwaite_denominator/arg/s","labels":[],"name":"s","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#welch_satterthwaite_term","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Слагаемое ui⁴(y)/νi формулы Уэлча–Саттертуэйта; ноль для точно известной компоненты"}],"name":"welch_satterthwaite_term","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#welch_satterthwaite_term/arg/r","labels":[],"name":"r","type":{"name":"jcgm.vim#Result"}},{"id":"urn:jcgm:clir:gum#welch_satterthwaite_term/arg/x","labels":[],"name":"x","type":{"name":"urn:jcgm:clir:gum#Input"}},{"id":"urn:jcgm:clir:gum#welch_satterthwaite_term/arg/d","labels":[],"name":"d","type":{"name":"urn:law:std#Rational"}}],"symbolKind":"relation"},{"id":"urn:jcgm:clir:gum#welch_satterthwaite_term_count","kind":"symbol_decl","labels":[{"language":"ru","status":"unofficial","text":"Число слагаемых Уэлча–Саттертуэйта по позициям; равно N лишь при ровно одном назначении νi у каждого входа"}],"name":"welch_satterthwaite_term_count","package":"urn:jcgm:clir:gum","parameters":[{"id":"urn:jcgm:clir:gum#welch_satterthwaite_term_count/arg/r","labels":[],"name":"r","type":{"name":"jcgm.vim#Result"}},{"id":"urn:jcgm:clir:gum#welch_satterthwaite_term_count/arg/n","labels":[],"name":"n","type":{"name":"urn:law:std#Integer"}}],"symbolKind":"relation"}],"tables":[]},"provenance":{"acts":[{"contributed":true,"fragmentCount":37,"fragments":["urn:jcgm:clir:gum#GUM_2_2_3","urn:jcgm:clir:gum#GUM_2_3_1","urn:jcgm:clir:gum#GUM_2_3_4","urn:jcgm:clir:gum#GUM_3_3_5","urn:jcgm:clir:gum#GUM_3_3_6","urn:jcgm:clir:gum#GUM_4_1_1","urn:jcgm:clir:gum#GUM_4_3_3","urn:jcgm:clir:gum#GUM_5_1_2","urn:jcgm:clir:gum#GUM_5_1_3","urn:jcgm:clir:gum#GUM_5_2_1","urn:jcgm:clir:gum#GUM_G_4_1","urn:jcgm:clir:gum#GUM_G_4_2","urn:jcgm:clir:gum#GUM_G_6_4","urn:jcgm:clir:gum#GUM_TABLE_G_2"],"jurisdiction":"none","namespace":"urn:jcgm:clir:gum","package":"jcgm-gum","title":"JCGM GUM — оценивание неопределённости 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весами"}],"locator":"clause/2.3.4","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:597a32e2d18810240f3f6f5ce05df59b48baee26c88c721c1a33215c6a09e5ed","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_3_3_5","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 3.3.5: дисперсия типа A — статистическая оценка s² по серии наблюдений; типа B — по имеющимся сведениям"}],"locator":"clause/3.3.5","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:0dde3227be05e60b6e078e0a041412fac5efd723ac748bff6c8ac571c9b21d2e","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_3_3_6","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 3.3.6: суммарная стандартная неопределённость uc — корень суммарной дисперсии по закону распространения"}],"locator":"clause/3.3.6","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:400803fd5a5f814755504ff43d3da45ae85aa2389e0e14a6ce8cacecbac8e7d4","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_1_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.1.1: измеряемая величина Y = f(X1, …, XN) определяется через N входных величин"}],"locator":"clause/4.1.1","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:b941450c7fdcb30cb56d58bd6f50659c62824a82a28c47071705b345305ff55f","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_4_3_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 4.3.3: указанная неопределённость как кратное стандартного отклонения — u равна указанному значению, делённому на множитель"}],"locator":"clause/4.3.3","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:7a8e9158f86dba2ca0a433c8f3d750d7b485712825dcaeaaf31c0dadf584b2d1","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_5_1_2","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 5.1.2, уравнение (10): суммарная дисперсия — сумма квадратов произведений коэффициентов чувствительности на стандартные неопределённости; uc — положительный корень"}],"locator":"clause/5.1.2","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:59fa89c7f0d98cf029ec8b5584815e31fe2c72e95f3c40aab16f661c58412ae6","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_5_1_3","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 5.1.3: коэффициенты чувствительности ci = ∂f/∂xi; вклад ui(y) = |ci|·u(xi)"}],"locator":"clause/5.1.3","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:ff4f36be139c61963928263a270ac6762cadd17ec5a58ac2d3a320d56dac8611","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_5_2_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM 5.2.1: уравнение (10) верно лишь для независимых или некоррелированных входных величин"}],"locator":"clause/5.2.1","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:cd242efb3b39d05d4ff5af236d46bfbfbc20a25c9cbc134dea4d3cb47b587f9f","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_G_4_1","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM G.4.1, уравнение (G.2b): формула Уэлча–Саттертуэйта νeff = uc⁴/Σ(ui⁴/νi); нецелое νeff усекается до меньшего целого"}],"locator":"annex/G.4.1","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:2c94836b8826bbeef2b6d3312d199eda791ccd89796a58bbd453270720640655","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_G_4_2","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM G.4.2: степени свободы для оценки типа B назначаются по надёжности u(xi); при точно известной u — νi → ∞"}],"locator":"annex/G.4.2","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:e4a07e65fdbdef97cb4a51ba27d666b609ac60d222817a93178a4508b2f2533f","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"paragraph","id":"urn:jcgm:clir:gum#GUM_G_6_4","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM G.6.4: kp = tp(νeff) из таблицы G.2; Up = kp·uc(y)"}],"locator":"annex/G.6.4","package":"urn:jcgm:clir:gum","visibility":"public"},{"contentHash":"sha256:e8457780e9f6a9b2a3bd5ce7dbd05e96cbd6e625e01f1c09e7d6d778fc6188bc","edition":"urn:jcgm:clir:gum#GUM_2008_EN","fragmentKind":"table","id":"urn:jcgm:clir:gum#GUM_TABLE_G_2","kind":"fragment","labels":[{"language":"ru","status":"unofficial","text":"GUM таблица G.2: значения tp(ν) для долей p, включая 95 %; строка ν = ∞ равна kp нормального распределения"}],"locator":"annex/G/table-G.2","package":"urn:jcgm:clir:gum","visibility":"public"}],"text":"expanded_uncertainty_95: **TRUE_ONLY** — установлено\nВыведено правом: input_count(urn:jcgm:gum:test:r, 2); scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 1/1); variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 9/1); welch_satterthwaite_term(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x1, 81/4); scale_factor_to_result(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 1/1); variance_contribution(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 16/1); contribution_count(urn:jcgm:gum:test:r, 2); combined_variance_ratio(urn:jcgm:gum:test:r, 25/1); combined_standard_uncertainty(urn:jcgm:gum:test:r, 5); information_basis_recorded(urn:jcgm:gum:test:r); dispersion_parameter(urn:jcgm:gum:test:r, 5); obtained_from_input_uncertainties(urn:jcgm:gum:test:r, 5); expressed_as_standard_deviation(urn:jcgm:gum:test:r, 5); welch_satterthwaite_term(urn:jcgm:gum:test:r, urn:jcgm:gum:test:x2, 0/1); welch_satterthwaite_term_count(urn:jcgm:gum:test:r, 2); welch_satterthwaite_denominator(urn:jcgm:gum:test:r, 81/4); effective_degrees_of_freedom(urn:jcgm:gum:test:r, 30); coverage_factor_95(urn:jcgm:gum:test:r, 2.04); expanded_uncertainty_95(urn:jcgm:gum:test:r, 10.2)\n…и ещё 7 выведенных фактов вне предмета вопроса (полный вывод — law_explain)\nПрименены правила: CombinedStandardUncertainty, CombinedVarianceUncorrelated, ComputedUncertaintyHasRecordedBasis, ComputedUncertaintyIsDispersionParameter, ComputedUncertaintyIsObtainedFromInputs, ComputedUncertaintyIsStandardDeviation, ContributionCount, CoverageFactor95Nu30, EffectiveDegreesOfFreedom, ExactUncertaintyFromQuotedMultiple, ExpandedUncertainty95, InputCount, ScaleFactorFromUnitSensitivity, TypeBDegreesOfFreedom, TypeBEvaluatedFromQuoted, TypeBFromQuotedMultiple, VarianceContribution, WelchSatterthwaiteDenominator, WelchSatterthwaiteTermCount, WelchSatterthwaiteTermExactlyKnown, WelchSatterthwaiteTermFinite\nПраво (вне юрисдикции государства): JCGM GUM — оценивание неопределённости измерения: типы A и B, закон распространения, коэффициент охвата и таблица G.2 — доктрина (programHash sha256:2ee38f51646e…)\nВместе с актами: units-si\nproof-граф: 43 узлов — поле evaluation готово для law_explain"}],"language":"ru","question":{"origin":"user","text":"Ряд повторных наблюдений: как руководство GUM ведёт от него к расширенной неопределённости с уровнем 95 %?"},"schemaVersion":"law.answers.document/0.1"}