Norm (mathematics)

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High Quality Content by WIKIPEDIA articles! In linear algebra, functional analysis and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to all vectors in a vector space, other than the zero vector. A seminorm, on the other hand, is allowed to assign zero length to some non-zero vectors. A simple example is the 2-dimensional Euclidean space R2 equipped with the Euclidean norm. Elements in this vector space (e.g., (3, 7) ) are usually drawn as arrows in a 2-dimensional cartesian coordinate system starting at the origin (0, 0). The Euclidean norm assigns to each vector the length of its arrow. Because of this, the Euclidean norm is often known as the magnitude.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130332716
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • Sprache Englisch
    • Größe H221mm x B149mm x T15mm
    • Jahr 2010
    • EAN 9786130332716
    • Format Fachbuch
    • ISBN 978-613-0-33271-6
    • Titel Norm (mathematics)
    • Untertitel Linear Algebra, Functional Analysis, Mathematics, Function (Mathematics), Null Vector, Euclidean Space, Cartesian Coordinate System, Magnitude (Mathematics)
    • Gewicht 230g
    • Herausgeber Betascript Publishers
    • Anzahl Seiten 140
    • Genre Mathematik

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