Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Dual_basis_in_a_field_extension> ?p ?o. }
Showing items 1 to 24 of
24
with 100 items per page.
- Dual_basis_in_a_field_extension abstract "In mathematics, the linear algebra concept of dual basis can be applied in the context of a finite extension L/K, by using the field trace. This requires the property that the field trace TrL/K provides a non-degenerate quadratic form over K. This can be guaranteed if the extension is separable; it is automatically true if K is a perfect field, and hence in the cases where K is finite, or of characteristic zero.A dual basis is not a concrete basis like the polynomial basis or the normal basis; rather it provides a way of using a second basis for computations. Consider two bases for elements in a finite field, GF(pm):andthen B2 can be considered a dual basis of B1 providedHere the trace of a value in GF(pm) can be calculated as follows:Using a dual basis can provide a way to easily communicate between devices that use different bases, rather than having to explicitly convert between bases using the change of bases formula. Furthermore, if a dual basis is implemented then conversion from an element in the original basis to the dual basis can be accomplished with a multiplication by the multiplicative identity (usually 1).".
- Dual_basis_in_a_field_extension wikiPageID "1182975".
- Dual_basis_in_a_field_extension wikiPageRevisionID "605710088".
- Dual_basis_in_a_field_extension hasPhotoCollection Dual_basis_in_a_field_extension.
- Dual_basis_in_a_field_extension subject Category:Field_extensions.
- Dual_basis_in_a_field_extension subject Category:Linear_algebra.
- Dual_basis_in_a_field_extension subject Category:Theory_of_cryptography.
- Dual_basis_in_a_field_extension type Abstraction100002137.
- Dual_basis_in_a_field_extension type Delay115272029.
- Dual_basis_in_a_field_extension type Extension115272382.
- Dual_basis_in_a_field_extension type FieldExtensions.
- Dual_basis_in_a_field_extension type Measure100033615.
- Dual_basis_in_a_field_extension type Pause115271008.
- Dual_basis_in_a_field_extension type TimeInterval115269513.
- Dual_basis_in_a_field_extension comment "In mathematics, the linear algebra concept of dual basis can be applied in the context of a finite extension L/K, by using the field trace. This requires the property that the field trace TrL/K provides a non-degenerate quadratic form over K.".
- Dual_basis_in_a_field_extension label "Dual basis in a field extension".
- Dual_basis_in_a_field_extension label "拡大体における双対基底".
- Dual_basis_in_a_field_extension sameAs 拡大体における双対基底.
- Dual_basis_in_a_field_extension sameAs m.04f6x6.
- Dual_basis_in_a_field_extension sameAs Q5310185.
- Dual_basis_in_a_field_extension sameAs Q5310185.
- Dual_basis_in_a_field_extension sameAs Dual_basis_in_a_field_extension.
- Dual_basis_in_a_field_extension wasDerivedFrom Dual_basis_in_a_field_extension?oldid=605710088.
- Dual_basis_in_a_field_extension isPrimaryTopicOf Dual_basis_in_a_field_extension.