Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Inner_product_space> ?p ?o }
- 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 is 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 wikiPageLength "34249".
- Inner_product_space wikiPageOutDegree "143".
- Inner_product_space wikiPageRevisionID "670989361".
- Inner_product_space wikiPageWikiLink Algebra_over_a_field.
- Inner_product_space wikiPageWikiLink Algebraic_number.
- Inner_product_space wikiPageWikiLink Almost_surely.
- Inner_product_space wikiPageWikiLink Angle.
- Inner_product_space wikiPageWikiLink Axiom.
- Inner_product_space wikiPageWikiLink Basefield.
- Inner_product_space wikiPageWikiLink Basis_(linear_algebra).
- Inner_product_space wikiPageWikiLink Bijection.
- Inner_product_space wikiPageWikiLink Bijective.
- Inner_product_space wikiPageWikiLink Bilinear_form.
- Inner_product_space wikiPageWikiLink Biorthogonal_system.
- Inner_product_space wikiPageWikiLink Bra–ket_notation.
- Inner_product_space wikiPageWikiLink Cambridge_University_Press.
- Inner_product_space wikiPageWikiLink Category:Bilinear_forms.
- Inner_product_space wikiPageWikiLink Category:Normed_spaces.
- Inner_product_space wikiPageWikiLink Cauchy_sequence.
- Inner_product_space wikiPageWikiLink Cauchy–Schwarz_inequality.
- Inner_product_space wikiPageWikiLink Characteristic_(algebra).
- Inner_product_space wikiPageWikiLink Clifford_algebra.
- Inner_product_space wikiPageWikiLink Complete_metric_space.
- Inner_product_space wikiPageWikiLink Complete_space.
- Inner_product_space wikiPageWikiLink Completeness_(topology).
- Inner_product_space wikiPageWikiLink Complex_conjugate.
- Inner_product_space wikiPageWikiLink Complex_number.
- Inner_product_space wikiPageWikiLink Conjugate_transpose.
- Inner_product_space wikiPageWikiLink Continuous_function.
- Inner_product_space wikiPageWikiLink Continuous_linear_operator.
- Inner_product_space wikiPageWikiLink Convergence_(book_series).
- Inner_product_space wikiPageWikiLink Convergence_(series).
- Inner_product_space wikiPageWikiLink Definite_bilinear_form.
- Inner_product_space wikiPageWikiLink Definite_quadratic_form.
- Inner_product_space wikiPageWikiLink Degenerate_bilinear_form.
- Inner_product_space wikiPageWikiLink Dense_set.
- Inner_product_space wikiPageWikiLink Differential_form.
- Inner_product_space wikiPageWikiLink Differential_geometry.
- Inner_product_space wikiPageWikiLink Dimension.
- Inner_product_space wikiPageWikiLink Dimension_(mathematics).
- Inner_product_space wikiPageWikiLink Dimension_(vector_space).
- Inner_product_space wikiPageWikiLink Dot_product.
- Inner_product_space wikiPageWikiLink Dual_space.
- Inner_product_space wikiPageWikiLink Dual_vector.
- Inner_product_space wikiPageWikiLink Energetic_space.
- Inner_product_space wikiPageWikiLink Euclidean_space.
- Inner_product_space wikiPageWikiLink Expected_value.
- Inner_product_space wikiPageWikiLink Exterior_algebra.
- Inner_product_space wikiPageWikiLink Exterior_product.
- Inner_product_space wikiPageWikiLink Field_(mathematics).
- Inner_product_space wikiPageWikiLink Fourier_series.
- Inner_product_space wikiPageWikiLink Functional_analysis.
- Inner_product_space wikiPageWikiLink Gelfand–Naimark–Segal_construction.
- Inner_product_space wikiPageWikiLink Geometric_algebra.
- Inner_product_space wikiPageWikiLink Gram–Schmidt_process.
- Inner_product_space wikiPageWikiLink Hausdorff_maximal_principle.
- Inner_product_space wikiPageWikiLink Hermitian_form.
- Inner_product_space wikiPageWikiLink Hermitian_matrix.
- Inner_product_space wikiPageWikiLink Hilbert_space.
- Inner_product_space wikiPageWikiLink Homogeneous_function.
- Inner_product_space wikiPageWikiLink Injective.
- Inner_product_space wikiPageWikiLink Injective_function.
- Inner_product_space wikiPageWikiLink Interior_product.
- Inner_product_space wikiPageWikiLink John_Wiley_&_Sons.
- Inner_product_space wikiPageWikiLink Law_of_cosines.
- Inner_product_space wikiPageWikiLink Linear.
- Inner_product_space wikiPageWikiLink Linear_algebra.
- Inner_product_space wikiPageWikiLink Linear_form.
- Inner_product_space wikiPageWikiLink Linear_functional.
- Inner_product_space wikiPageWikiLink Linear_independence.
- Inner_product_space wikiPageWikiLink Linearity.
- Inner_product_space wikiPageWikiLink Linearly_independent.
- Inner_product_space wikiPageWikiLink Mathematical_induction.
- Inner_product_space wikiPageWikiLink Mathematical_structure.
- Inner_product_space wikiPageWikiLink Matrix_algebra.
- Inner_product_space wikiPageWikiLink Matrix_ring.
- Inner_product_space wikiPageWikiLink Mercers_theorem.
- Inner_product_space wikiPageWikiLink Metric_space.
- Inner_product_space wikiPageWikiLink Minkowski_space.
- Inner_product_space wikiPageWikiLink Morphism.
- Inner_product_space wikiPageWikiLink Multivariate_random_variable.
- Inner_product_space wikiPageWikiLink Nondegenerate_form.
- Inner_product_space wikiPageWikiLink Norm_(mathematics).
- Inner_product_space wikiPageWikiLink Normal_operator.
- Inner_product_space wikiPageWikiLink Normed_space.
- Inner_product_space wikiPageWikiLink Normed_vector_space.
- Inner_product_space wikiPageWikiLink Ordered_field.
- Inner_product_space wikiPageWikiLink Orthogonal.
- Inner_product_space wikiPageWikiLink Orthogonal_matrix.
- Inner_product_space wikiPageWikiLink Orthogonality.
- Inner_product_space wikiPageWikiLink Outer_product.
- Inner_product_space wikiPageWikiLink Parallelogram_equality.
- Inner_product_space wikiPageWikiLink Parallelogram_law.
- Inner_product_space wikiPageWikiLink Parsevals_identity.
- Inner_product_space wikiPageWikiLink Physics.
- Inner_product_space wikiPageWikiLink Polarization_identity.
- Inner_product_space wikiPageWikiLink Positive-definite_matrix.