Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Canonical_form> ?p ?o }
- Canonical_form abstract "In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical expression. The distinction between "canonical" and "normal" forms varies by subfield. In most fields, a canonical form specifies a unique representation for every object, while a normal form simply specifies its form, without the requirement of uniqueness.The canonical form of a positive integer in decimal representation is a finite sequence of digits that does not begin with zero.More generally, for a class of objects on which an equivalence relation is defined, a canonical form consists in the choice of a specific object in each class. For example, Jordan normal form is a canonical form for matrix similarity, and the row echelon form is a canonical form, when one consider as equivalent a matrix and its left product by an invertible matrix. In computer science, and more specifically in computer algebra, when representing mathematical objects in a computer, there are usually many different ways to represent the same object. In this context, a canonical form is a representation such that every object has a unique representation. Thus, the equality of two objects can easily be tested by testing the equality of their canonical forms. However canonical forms frequently depend on arbitrary choices (like ordering the variables), and this introduces difficulties for testing the equality of two objects resulting on independent computations. Therefore, in computer algebra, normal form is a weaker notion: A normal form is a representation such that zero is uniquely represented. This allows testing for equality by putting the difference of two objects in normal form.Canonical form can also mean a differential form that is defined in a natural (canonical) way.In computer science, data that has more than one possible representation can often be canonicalized into a completely unique representation called its canonical form. Putting something into canonical form is canonicalization.".
- Canonical_form wikiPageID "515096".
- Canonical_form wikiPageLength "9621".
- Canonical_form wikiPageOutDegree "80".
- Canonical_form wikiPageRevisionID "682557624".
- Canonical_form wikiPageWikiLink Abstract_rewriting_system.
- Canonical_form wikiPageWikiLink Algebraic_normal_form.
- Canonical_form wikiPageWikiLink Algebraically_closed_field.
- Canonical_form wikiPageWikiLink Beta_normal_form.
- Canonical_form wikiPageWikiLink Blake_canonical_form.
- Canonical_form wikiPageWikiLink Canonical_basis.
- Canonical_form wikiPageWikiLink Canonical_bundle.
- Canonical_form wikiPageWikiLink Canonical_class.
- Canonical_form wikiPageWikiLink Canonical_one-form.
- Canonical_form wikiPageWikiLink Canonical_representation_of_a_positive_integer.
- Canonical_form wikiPageWikiLink Canonical_symplectic_form.
- Canonical_form wikiPageWikiLink Canonicalization.
- Canonical_form wikiPageWikiLink Cantor_normal_form.
- Canonical_form wikiPageWikiLink Cardinality.
- Canonical_form wikiPageWikiLink Category:Algebra.
- Canonical_form wikiPageWikiLink Category:Concepts_in_logic.
- Canonical_form wikiPageWikiLink Category:Formalism_(deductive).
- Canonical_form wikiPageWikiLink Category:Mathematical_terminology.
- Canonical_form wikiPageWikiLink Classification_theorem.
- Canonical_form wikiPageWikiLink Compact_space.
- Canonical_form wikiPageWikiLink Complex_number.
- Canonical_form wikiPageWikiLink Complex_numbers.
- Canonical_form wikiPageWikiLink Computer_algebra.
- Canonical_form wikiPageWikiLink Computer_science.
- Canonical_form wikiPageWikiLink Conjunctive_normal_form.
- Canonical_form wikiPageWikiLink Continued_fraction.
- Canonical_form wikiPageWikiLink Data_normalization.
- Canonical_form wikiPageWikiLink Decimal_representation.
- Canonical_form wikiPageWikiLink Diagonal_matrices.
- Canonical_form wikiPageWikiLink Diagonal_matrix.
- Canonical_form wikiPageWikiLink Differential_form.
- Canonical_form wikiPageWikiLink Disjunctive_normal_form.
- Canonical_form wikiPageWikiLink Equivalence_relation.
- Canonical_form wikiPageWikiLink Expression_(mathematics).
- Canonical_form wikiPageWikiLink Frobenius_normal_form.
- Canonical_form wikiPageWikiLink Fundamental_theorem_of_arithmetic.
- Canonical_form wikiPageWikiLink Hamiltonian_mechanics.
- Canonical_form wikiPageWikiLink Hausdorff_space.
- Canonical_form wikiPageWikiLink Hilbert_space.
- Canonical_form wikiPageWikiLink Hilbert_spaces.
- Canonical_form wikiPageWikiLink Homeomorphism.
- Canonical_form wikiPageWikiLink Inverse_element.
- Canonical_form wikiPageWikiLink Invertible.
- Canonical_form wikiPageWikiLink Invertible_matrix.
- Canonical_form wikiPageWikiLink Jordan_canonical_form.
- Canonical_form wikiPageWikiLink Jordan_normal_form.
- Canonical_form wikiPageWikiLink Large_numbers.
- Canonical_form wikiPageWikiLink Linear_equation.
- Canonical_form wikiPageWikiLink Mathematical_expression.
- Canonical_form wikiPageWikiLink Mathematical_object.
- Canonical_form wikiPageWikiLink Mathematics.
- Canonical_form wikiPageWikiLink Matrix_similarity.
- Canonical_form wikiPageWikiLink Modular_arithmetic.
- Canonical_form wikiPageWikiLink Natural_number.
- Canonical_form wikiPageWikiLink Negation_normal_form.
- Canonical_form wikiPageWikiLink Normal-form_game.
- Canonical_form wikiPageWikiLink Normal_form_(bifurcation_theory).
- Canonical_form wikiPageWikiLink Normal_form_(natural_deduction).
- Canonical_form wikiPageWikiLink Normal_form_game.
- Canonical_form wikiPageWikiLink Normal_matrix.
- Canonical_form wikiPageWikiLink Normalization.
- Canonical_form wikiPageWikiLink Normalization_(disambiguation).
- Canonical_form wikiPageWikiLink Ordinal_arithmetic.
- Canonical_form wikiPageWikiLink Ordinal_number.
- Canonical_form wikiPageWikiLink Positive_integer.
- Canonical_form wikiPageWikiLink Prenex_normal_form.
- Canonical_form wikiPageWikiLink Principal_ideal_domain.
- Canonical_form wikiPageWikiLink Row_echelon_form.
- Canonical_form wikiPageWikiLink Separable_space.
- Canonical_form wikiPageWikiLink Singular_value_decomposition.
- Canonical_form wikiPageWikiLink Skolem_normal_form.
- Canonical_form wikiPageWikiLink Smith_normal_form.
- Canonical_form wikiPageWikiLink Spectral_theorem.
- Canonical_form wikiPageWikiLink Standardization.
- Canonical_form wikiPageWikiLink Structure_theorem_for_finitely_generated_modules_over_a_principal_ideal_domain.
- Canonical_form wikiPageWikiLink Symbolic_computation.
- Canonical_form wikiPageWikiLink Symplectic_manifold.
- Canonical_form wikiPageWikiLink Tautological_one-form.
- Canonical_form wikiPageWikiLink Unitary_matrix.
- Canonical_form wikiPageWikiLink Up_to.
- Canonical_form wikiPageWikiLink Weyr_canonical_form.
- Canonical_form wikiPageWikiLinkText "Canonical form".
- Canonical_form wikiPageWikiLinkText "Canonical forms".
- Canonical_form wikiPageWikiLinkText "Canonical".
- Canonical_form wikiPageWikiLinkText "canonical definitions".
- Canonical_form wikiPageWikiLinkText "canonical form".
- Canonical_form wikiPageWikiLinkText "canonical forms".
- Canonical_form wikiPageWikiLinkText "canonical implicit equation".
- Canonical_form wikiPageWikiLinkText "canonical representation".
- Canonical_form wikiPageWikiLinkText "canonical representatives".
- Canonical_form wikiPageWikiLinkText "canonical".
- Canonical_form wikiPageWikiLinkText "canonically".
- Canonical_form wikiPageWikiLinkText "normal form".
- Canonical_form wikiPageWikiLinkText "standard form".
- Canonical_form hasPhotoCollection Canonical_form.