Rational

Rational

Rational heißt eine Zahl, wenn sie der Quotient zweier ganzer Zahlen ist. Eine solche Zahl x ist zur Einheit kommensurabel, d.h. es lassen sich zwei ganze Zahlen m und n finden, derart, daß m · 1 = n · x. Irrational heißt jede nicht in diesem Sinne zur Einheit kommensurable Zahl. Eine Funktion heißt rational, wenn sie der Quotient zweier ganzer Funktionen ist.

Wölffing.


http://www.zeno.org/Lueger-1904.

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  • rational — rational, aux [ rasjɔnal, o ] n. m. • racionale XIIIe; lat. rationale ♦ Didact. 1 ♦ Antiq. Pièce d étoffe ornée de pierreries que le grand prêtre des Hébreux portait sur la poitrine. ⇒ pectoral. 2 ♦ (a. fr. livre rational « livre de raison »; lat …   Encyclopédie Universelle

  • Rational AG — Rechtsform Aktiengesellschaft ISIN DE0007010803 Gründung …   Deutsch Wikipedia

  • raţional — RAŢIONÁL, Ă, raţionali, e, adj. 1. (Adesea adverbial) Conform cu principiile şi cerinţele raţiunii; care poate fi conceput cu ajutorul raţiunii. ♦ (În filozofia raţionalistă) Izvorât sau dedus din raţiune, considerat ca independent de experienţă… …   Dicționar Român

  • rational — rational, reasonable may be applied to men, their acts, utterances, or policies in the senses of having or manifesting the power to reason, or of being in accordance with what reason dictates as right, wise, or sensible. Rational usually implies… …   New Dictionary of Synonyms

  • Rational — may refer to: * Rationality, a concept of reason * Rational number, a number that can be expressed as a ratio of two integers * Rational function, a mathematical function which can be written as the ratio of two polynomial functions * Rational… …   Wikipedia

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  • rational — [rash′ən əl] adj. [ME racional < L rationalis < ratio: see REASON] 1. of, based on, or derived from reasoning [rational powers] 2. able to reason; reasoning; in possession of one s reason or sanity 3. showing reason; not foolish or silly;… …   English World dictionary

  • rational — ra·tio·nal / ra shə nəl/ adj 1: having reason or understanding 2: relating to, based on, or guided by reason, principle, fairness, logic, a legitimate state interest, or a consideration of fact age distinctions are not subject to strict scrutiny …   Law dictionary

  • Rational — (v. lat.), 1) vernünftig; 2) (Rationell), vernunftgemäß, auf Ergebnisse eigner Prüfung u. vernünftigen Gründen beruhend, daher theils dem positiven, theils dem blos empirischen u. praktischen entgegengesetzt, s. u. Rationalismus 1); 3) rational… …   Pierer's Universal-Lexikon

  • Rational — Ra tion*al, n. A rational being. Young. [1913 Webster] …   The Collaborative International Dictionary of English

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