Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Inner_product_space> ?p ?o. }
Showing items 1 to 48 of
48
with 100 items per page.
- Inner_product_space abstract "In linear algebra, an inner product space is a vector space with an additional structure called an inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors. Inner products allow the rigorous introduction of intuitive geometrical notions such as the length of a vector or the angle between two vectors. They also provide the means of defining orthogonality between vectors (zero inner product). Inner product spaces generalize Euclidean spaces (in which the inner product is the dot product, also known as the scalar product) to vector spaces of any (possibly infinite) dimension, and are studied in functional analysis.An inner product naturally induces an associated norm, thus an inner product space is also a normed vector space. A complete space with an inner product is called a Hilbert space. An incomplete space with an inner product is called a pre-Hilbert space, since its completion with respect to the norm induced by the inner product becomes a Hilbert space. Inner product spaces over the field of complex numbers are sometimes referred to as unitary spaces.".
- Inner_product_space thumbnail Inner-product-angle.png?width=300.
- Inner_product_space wikiPageID "14856".
- Inner_product_space wikiPageRevisionID "604977117".
- Inner_product_space hasPhotoCollection Inner_product_space.
- Inner_product_space subject Category:Bilinear_forms.
- Inner_product_space subject Category:Normed_spaces.
- Inner_product_space type Abstraction100002137.
- Inner_product_space type Attribute100024264.
- Inner_product_space type BilinearForms.
- Inner_product_space type Form106290637.
- Inner_product_space type LanguageUnit106284225.
- Inner_product_space type NormedSpaces.
- Inner_product_space type Part113809207.
- Inner_product_space type Relation100031921.
- Inner_product_space type Space100028651.
- Inner_product_space type Word106286395.
- Inner_product_space comment "In linear algebra, an inner product space is a vector space with an additional structure called an inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors. Inner products allow the rigorous introduction of intuitive geometrical notions such as the length of a vector or the angle between two vectors. They also provide the means of defining orthogonality between vectors (zero inner product).".
- Inner_product_space label "Espace préhilbertien".
- Inner_product_space label "Espacio prehilbertiano".
- Inner_product_space label "Inner product space".
- Inner_product_space label "Inwendig-productruimte".
- Inner_product_space label "Produto interno".
- Inner_product_space label "Przestrzeń unitarna".
- Inner_product_space label "Prähilbertraum".
- Inner_product_space label "Spazio prehilbertiano".
- Inner_product_space label "Унитарное пространство".
- Inner_product_space label "فضاء الجداء الداخلي".
- Inner_product_space label "内积空间".
- Inner_product_space label "計量ベクトル空間".
- Inner_product_space sameAs Unitární_prostor.
- Inner_product_space sameAs Prähilbertraum.
- Inner_product_space sameAs Εσωτερικό_γινόμενο.
- Inner_product_space sameAs Espacio_prehilbertiano.
- Inner_product_space sameAs Espace_préhilbertien.
- Inner_product_space sameAs Spazio_prehilbertiano.
- Inner_product_space sameAs 計量ベクトル空間.
- Inner_product_space sameAs 내적공간.
- Inner_product_space sameAs Inwendig-productruimte.
- Inner_product_space sameAs Przestrzeń_unitarna.
- Inner_product_space sameAs Produto_interno.
- Inner_product_space sameAs m.03v2r.
- Inner_product_space sameAs Q214159.
- Inner_product_space sameAs Q214159.
- Inner_product_space sameAs Inner_product_space.
- Inner_product_space wasDerivedFrom Inner_product_space?oldid=604977117.
- Inner_product_space depiction Inner-product-angle.png.
- Inner_product_space isPrimaryTopicOf Inner_product_space.