About: Abuse of notation   Goto Sponge  NotDistinct  Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.org associated with source document(s)

In mathematics, abuse of notation occurs when an author uses a mathematical notation in a way that is not formally correct but that seems likely to simplify the exposition or suggest the correct intuition (while being unlikely to introduce errors or cause confusion). Abuse of notation should be contrasted with misuse of notation, which should be avoided. the Euclidean space of dimension three equipped with a Cartesian coordinate system.

AttributesValues
rdfs:label
  • Abuse of notation
  • Abus de notation
  • Abuso di notazione
  • 記号の濫用
rdfs:comment
  • En mathématiques, un abus de notation est l'utilisation de symboles hors de leur usage d'origine de façon à résumer une expression, au risque de contrevenir à un formalisme en cours, voire d'obtenir une expression ambiguë. Ainsi, la notation √-1, utilisée au XVIIe siècle pour désigner l'unité imaginaire, est abusive dans le formalisme actuel où le symbole radical est réservé aux nombres réels positifs.
  • 関連する概念に用語の濫用(英: abuse of language, abuse of terminology, 仏: abus de langage)がある。これは記号ではなく用語が(形式的には)誤って使われることを指す。記号以外の濫用とほぼ同義である。例えば群 G の表現とは正確には G から GL(V) (ただし V はベクトル空間)への群準同型のことであるが、よく表現空間 V のことを「G の表現」という。用語の濫用は異なるが自然に同型な対象を同一視する際によく行われる。例えば、定数関数とその値や、直交座標系の入った 3 次元ユークリッド空間と R3 である。
  • In mathematics, abuse of notation occurs when an author uses a mathematical notation in a way that is not formally correct but that seems likely to simplify the exposition or suggest the correct intuition (while being unlikely to introduce errors or cause confusion). Abuse of notation should be contrasted with misuse of notation, which should be avoided. the Euclidean space of dimension three equipped with a Cartesian coordinate system.
  • In matematica, un abuso di notazione avviene quando un autore usa una notazione matematica in un modo non formalmente corretto ma che semplifica l'esposizione (e al tempo stesso è improbabile che introduca errori o causi confusione). L'abuso di notazione va distinto dal "misuso" di notazione, che deve essere evitato. Semplici esempi avvengono quando si parla di insiemi di oggetti matematici. Per esempio, uno spazio topologico consiste di un insieme e una topologia , e due spazi topologici e semplicemente con quando le operazioni sono chiare dal contesto.
sameAs
dct:subject
Wikipage page ID
Wikipage revision ID
Link from a Wikipage to another Wikipage
Link from a Wikipage to an external page
Faceted Search & Find service v1.17_git21 as of Mar 09 2019


Alternative Linked Data Documents: PivotViewer | iSPARQL | ODE     Content Formats:       RDF       ODATA       Microdata      About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 07.20.3230 as of Apr 1 2019, on Linux (x86_64-generic-linux-glibc25), Single-Server Edition (61 GB total memory)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2019 OpenLink Software