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Theoria catervarum

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Caterva cyclica Z/26 sub notis Caesaris iacet.

Theoria catervarum vel grupporum[1][2] in mathematica et algebra abstracta structuras algebraicas cognoscit appellatas catervas. Notio catervae est media algebrae abstractae pars: aliae notissimae structurae algebraicae, sicut anelli (Anglice: rings), corpora, et spatia vectorum (Anglice: vector spaces) videri possunt catervae quae operationibus axiomatibusque additis praeditae sunt.

Pictura Cayley 〈 x, y ∣ 〉, liberam gradus alterius catervam ostendens.

Catervae per omnem mathematicam fiunt, et rationes theoriae catervarum multas algebrae partes valide moverunt. Lineares catervae algebraicae et catervae Lie sunt rami theoriae catervarum qui progressum ingentem sustinuerunt ut res studii sui iuris fierent.

Varia systemata physica, sicut crystalli et atomus hydrogenii, a catervis symmetricis fingi possunt. Ergo theoriae catervarum et repraesentationis, arte conexae, multos usus in physica et chemia habent.

Una ex gravissimis confectionibus in mathematica saeculi vicensimi fuit opera communis, plus quam 10 000 paginas diurnariorum comprehendens, plerumque inter 1960 et 1980 editas, quae in classificatione finitarum catervarum simplicium fastigium habuit.

Vide etiam[recensere | fontem recensere]

Notae[recensere | fontem recensere]

  1. Carolus Du Fresne Dominus Du Cange, et al., Glossarium mediae et infimae latinitatis (Niort: L. Favre, 1883–1887), s.v. Gruppus.
  2. Benvenutus Stracchae, De Assecurationibus, Proxenetis, atque Proxeneticis (Amstelodami, Johannes Schipper, 1669), p. 188.

Bibliographia[recensere | fontem recensere]

Torus cuius structura catervae abelianae inducitur ex tabula CC/Z+τZ, ubi τ est parameter.
Circulus quintorum in musica structurá catervae cyclicae praeditus sit.
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