High Quality Content by WIKIPEDIA articles! In mathematics, the adjective trivial is frequently used for objects (for examples, groups or topological spaces) that have a very simple structure. The noun triviality usually refers to a simple technical aspect of some proof or definition. Trivial may also refer to any easy case of a proof, which for the sake of completeness cannot be ignored. For instance, proofs by mathematical induction have two parts: the 'base case' that shows that the theorem is true for a particular initial value such as n=0 or n = 1 and then an inductive step that shows that if the theorem is true for a certain value of n, it is also true for the value n+1. The base case is often trivial and is identified as such, although there are cases where the base case is difficult but the inductive step is trivial. Similarly, one might want to prove that some property is possessed by all the members of a certain set. The main part of the proof will consider the case of a nonempty set, and examine the members in detail; in the case where the set is empty, the property is trivially possessed by all the members, since there are none.
Produktkennzeichnungen
Herausgeber
Lambert M. Surhone, Miriam T. Timpledon, Sussan F. Marseken
ISBN-10
6130323816
ISBN-13
9786130323813
eBay Product ID (ePID)
162795507
Produkt Hauptmerkmale
Produktart
Lehrbuch
Sprache
Englisch
Anzahl der Seiten
108 Seiten
Verlag
Betascript Publishers
Publikationsname
Trivial (Mathematics)
Autor
Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
Format
Taschenbuch
Erscheinungsjahr
2009
Zusätzliche Produkteigenschaften
Hörbuch
No
Inhaltsbeschreibung
Paperback
Item Length
22cm
Item Height
6mm
Item Width
15cm
Item Weight
177g
Meistverkauft in Studium & Erwachsenenbildung
Aktuelle Folie {CURRENT_SLIDE} von {TOTAL_SLIDES}- Meistverkauft in Studium & Erwachsenenbildung