| dbo:abstract |
In mathematics, a function is locally bounded if it is bounded around every point. A family of functions is locally bounded if for any point in their domain all the functions are bounded around that point and by the same number. (en) Funkcję nazywa się lokalnie ograniczoną, jeżeli jest ograniczona w otoczeniu każdego punktu dziedziny. Rodzina funkcji jest lokalnie ograniczona, jeżeli w każdym punkcie dziedziny wszystkie funkcje rodziny są lokalnie ograniczone. (pl) |
| dbo:wikiPageExternalLink |
https://ncatlab.org/nlab/show/locally+bounded+category https://planetmath.org/LocallyBounded |
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| dbo:wikiPageWikiLink |
dbr:Bounded_function dbr:Bounded_set_(topological_vector_space) dbr:Uniformly_bounded dbr:Complex_number dbr:Mathematics dbr:Function_(mathematics) dbr:Bounded_set dbr:Locally_convex_topological_vector_space dbr:Topological_vector_space dbr:Triangle_inequality dbr:Domain_of_a_function dbr:Family_(disambiguation) dbr:Kolmogorov's_normability_criterion dbc:Mathematical_analysis dbc:Continuous_mappings dbc:Functional_analysis dbr:Indexed_family dbr:Metric_space dbr:Metrizable_topological_vector_space dbr:Neighborhood_(mathematics) dbr:Real_number dbr:Seminorm dbr:Set_(mathematics) dbr:Image_(mathematics) dbr:Topological_space dbr:Subset dbr:Identity_map dbr:Neighborhood_(topology) |
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dbt:Banach_spaces dbt:Annotated_link dbt:Em dbt:Main dbt:More_citations_needed dbt:See_also dbt:Visible_anchor dbt:Functional_analysis dbt:Topological_vector_spaces dbt:Boundedness_and_bornology |
| dct:subject |
dbc:Mathematical_analysis dbc:Continuous_mappings dbc:Functional_analysis |
| rdf:type |
owl:Thing |
| rdfs:comment |
In mathematics, a function is locally bounded if it is bounded around every point. A family of functions is locally bounded if for any point in their domain all the functions are bounded around that point and by the same number. (en) Funkcję nazywa się lokalnie ograniczoną, jeżeli jest ograniczona w otoczeniu każdego punktu dziedziny. Rodzina funkcji jest lokalnie ograniczona, jeżeli w każdym punkcie dziedziny wszystkie funkcje rodziny są lokalnie ograniczone. (pl) |
| rdfs:label |
Local boundedness (en) Funkcja lokalnie ograniczona (pl) |
| rdfs:seeAlso |
dbr:Bounded_set_(topological_vector_space) |
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freebase:Local boundedness wikidata:Local boundedness dbpedia-pl:Local boundedness https://global.dbpedia.org/id/4qixN |
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wikipedia-en:Local_boundedness?oldid=1119699881&ns=0 |
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wikipedia-en:Local_boundedness |
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dbr:Locally_bounded dbr:Local_boundness dbr:Locally_bounded_family dbr:Locally_bounded_function dbr:Locally_bounded_functional |
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dbr:Bounded_function dbr:Bounded_set dbr:Locally_bounded dbr:Local_boundness dbr:Locally_bounded_family dbr:Locally_bounded_function dbr:Locally_bounded_functional |
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dbr:Continuous_linear_operator |
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wikipedia-en:Local_boundedness |