@prefix foaf: . @prefix wikipedia-en: . @prefix dbr: . wikipedia-en:Essential_range foaf:primaryTopic dbr:Essential_range . @prefix dbo: . dbo:wikiPageWikiLink dbr:Essential_range . dbr:Range_of_a_function dbo:wikiPageWikiLink dbr:Essential_range . dbo:wikiPageWikiLink dbr:Essential_range . dbr:Self-adjoint_operator dbo:wikiPageWikiLink dbr:Essential_range . dbr:Toeplitz_matrix dbo:wikiPageWikiLink dbr:Essential_range . @prefix rdfs: . dbr:Essential_range rdfs:label "Essential range"@en , "\u672C\u8CEA\u7684\u5024\u57DF"@ja ; rdfs:comment "In mathematics, particularly measure theory, the essential range, or the set of essential values, of a function is intuitively the 'non-negligible' range of the function: It does not change between two functions that are equal almost everywhere. One way of thinking of the essential range of a function is the set on which the range of the function is 'concentrated'."@en , "\u6570\u5B66\u306E\u7279\u306B\u6E2C\u5EA6\u8AD6\u306E\u5206\u91CE\u306B\u304A\u3044\u3066\u3001\u3042\u308B\u51FD\u6570\u306E\u672C\u8CEA\u7684\u5024\u57DF\uFF08\u307B\u3093\u3057\u3064\u3066\u304D\u3061\u3044\u304D\u3001\u82F1: essential range\uFF09\u3068\u306F\u3001\u76F4\u611F\u7684\u306B\u306F\u305D\u306E\u51FD\u6570\u306E\u300C\u7121\u8996\u3067\u304D\u306A\u3044\u300D\u5024\u57DF\u306E\u3053\u3068\u3092\u8A00\u3046\u3002\u3042\u308B\u51FD\u6570\u306E\u672C\u8CEA\u7684\u5024\u57DF\u3092\u8003\u3048\u308B\u4E00\u3064\u306E\u65B9\u6CD5\u3068\u3057\u3066\u3001\u305D\u306E\u51FD\u6570\u306E\u5024\u57DF\u304C\u6700\u3082\u300C\u96C6\u4E2D\u3055\u308C\u308B\u300D\u3088\u3046\u306A\u96C6\u5408\u3001\u3068\u3044\u3046\u3082\u306E\u304C\u3042\u308B\u3002\u672C\u8CEA\u7684\u5024\u57DF\u306F\u3001\u6E2C\u5EA6\u7A7A\u9593\u4E0A\u306E\u5B9F\u3042\u308B\u3044\u306F\u8907\u7D20\u6570\u5024\u53EF\u6E2C\u51FD\u6570\u306B\u5BFE\u3057\u3066\u5B9A\u7FA9\u3059\u308B\u3053\u3068\u304C\u51FA\u6765\u308B\u3002"@ja . @prefix dct: . @prefix dbc: . dbr:Essential_range dct:subject dbc:Measure_theory , dbc:Real_analysis ; dbo:abstract "\u6570\u5B66\u306E\u7279\u306B\u6E2C\u5EA6\u8AD6\u306E\u5206\u91CE\u306B\u304A\u3044\u3066\u3001\u3042\u308B\u51FD\u6570\u306E\u672C\u8CEA\u7684\u5024\u57DF\uFF08\u307B\u3093\u3057\u3064\u3066\u304D\u3061\u3044\u304D\u3001\u82F1: essential range\uFF09\u3068\u306F\u3001\u76F4\u611F\u7684\u306B\u306F\u305D\u306E\u51FD\u6570\u306E\u300C\u7121\u8996\u3067\u304D\u306A\u3044\u300D\u5024\u57DF\u306E\u3053\u3068\u3092\u8A00\u3046\u3002\u3042\u308B\u51FD\u6570\u306E\u672C\u8CEA\u7684\u5024\u57DF\u3092\u8003\u3048\u308B\u4E00\u3064\u306E\u65B9\u6CD5\u3068\u3057\u3066\u3001\u305D\u306E\u51FD\u6570\u306E\u5024\u57DF\u304C\u6700\u3082\u300C\u96C6\u4E2D\u3055\u308C\u308B\u300D\u3088\u3046\u306A\u96C6\u5408\u3001\u3068\u3044\u3046\u3082\u306E\u304C\u3042\u308B\u3002\u672C\u8CEA\u7684\u5024\u57DF\u306F\u3001\u6E2C\u5EA6\u7A7A\u9593\u4E0A\u306E\u5B9F\u3042\u308B\u3044\u306F\u8907\u7D20\u6570\u5024\u53EF\u6E2C\u51FD\u6570\u306B\u5BFE\u3057\u3066\u5B9A\u7FA9\u3059\u308B\u3053\u3068\u304C\u51FA\u6765\u308B\u3002"@ja , "In mathematics, particularly measure theory, the essential range, or the set of essential values, of a function is intuitively the 'non-negligible' range of the function: It does not change between two functions that are equal almost everywhere. One way of thinking of the essential range of a function is the set on which the range of the function is 'concentrated'."@en ; dbo:wikiPageWikiLink dbr:Discrete_space , dbr:Power_set , dbr:Lp_space , dbr:Almost_everywhere , dbc:Real_analysis , dbr:Measure_theory , dbr:Essential_supremum , , , , , dbr:Bounded_mean_oscillation , , dbr:Essential_supremum_and_essential_infimum , dbr:McGraw-Hill , dbc:Measure_theory , , dbr:Mathematics . @prefix dbp: . @prefix dbt: . dbr:Essential_range dbp:wikiPageUsesTemplate dbt:Cite_book , dbt:Measure_theory , dbt:Reflist , dbt:Rp ; dbo:wikiPageRevisionID 1107407526 . @prefix ns9: . dbr:Essential_range dbo:wikiPageExternalLink ns9:realcomplexanaly00rudi_0 . @prefix xsd: . dbr:Essential_range dbo:wikiPageLength "8443"^^xsd:nonNegativeInteger ; dbo:wikiPageID 18380182 . @prefix owl: . dbr:Essential_range owl:sameAs . @prefix wikidata: . dbr:Essential_range owl:sameAs wikidata:Q5399579 , , , dbr:Essential_range . @prefix prov: . dbr:Essential_range prov:wasDerivedFrom ; foaf:isPrimaryTopicOf wikipedia-en:Essential_range .
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