@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 .