Norm (mathematics): Linear Algebra, Functional Analysis, Mathematics, Function (Mathematics), Null Vector, Euclidean Space, Cartesian Coordinate System, Magnitude (Mathematics) - Couverture souple

 
9786130332716: Norm (mathematics): Linear Algebra, Functional Analysis, Mathematics, Function (Mathematics), Null Vector, Euclidean Space, Cartesian Coordinate System, Magnitude (Mathematics)

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.