Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Dual_quaternion> ?p ?o }
Showing triples 1 to 92 of
92
with 100 triples per page.
- Dual_quaternion abstract "In mathematics and mechanics, the set of dual quaternions is a Clifford algebra that can be used to represent spatial rigid body displacements. A dual quaternion is an ordered pair of quaternions  = (A, B) and therefore is constructed from eight real parameters. Because rigid body displacements are defined by six parameters, dual quaternion parameters include two algebraic constraints.In ring theory, dual quaternions are a ring constructed in the same way as the quaternions, except using dual numbers instead of real numbers as coefficients. A dual quaternion can be represented in the form p + ε q where p and q are ordinary quaternions and ε is the dual unit (εε = 0) and commutes with every element of the algebra. Unlike quaternions they do not form a division ring.Similar to the way that rotations in 3D space can be represented by quaternions of unit length, rigid motions in 3D space can be represented by dual quaternions of unit length. This fact is used in theoretical kinematics (see McCarthy), and in applications to 3D computer graphics, robotics and computer vision.".
- Dual_quaternion thumbnail Quaternion_Plaque_on_Broom_Bridge.jpg?width=300.
- Dual_quaternion wikiPageExternalLink v=twopage&q&f=false.
- Dual_quaternion wikiPageExternalLink blaschke_-_dual_quaternions.pdf.
- Dual_quaternion wikiPageExternalLink blaschke_-_kinematics_and_quaternions.pdf.
- Dual_quaternion wikiPageExternalLink chapter4(020507).pdf.
- Dual_quaternion wikiPageExternalLink a29-full.pdf.
- Dual_quaternion wikiPageExternalLink TCD-CS-2006-46.pdf.
- Dual_quaternion wikiPageID "8730871".
- Dual_quaternion wikiPageLength "24610".
- Dual_quaternion wikiPageOutDegree "62".
- Dual_quaternion wikiPageRevisionID "676267087".
- Dual_quaternion wikiPageWikiLink Aleksandr_Kotelnikov.
- Dual_quaternion wikiPageWikiLink Associative_algebra.
- Dual_quaternion wikiPageWikiLink B._L._van_der_Waerden.
- Dual_quaternion wikiPageWikiLink Bartel_Leendert_van_der_Waerden.
- Dual_quaternion wikiPageWikiLink Biquaternion.
- Dual_quaternion wikiPageWikiLink Category:Kinematics.
- Dual_quaternion wikiPageWikiLink Category:Machines.
- Dual_quaternion wikiPageWikiLink Category:Quaternions.
- Dual_quaternion wikiPageWikiLink Clifford_algebra.
- Dual_quaternion wikiPageWikiLink Columbia_University.
- Dual_quaternion wikiPageWikiLink Computer_graphics.
- Dual_quaternion wikiPageWikiLink Computer_vision.
- Dual_quaternion wikiPageWikiLink Conversion_between_quaternions_and_Euler_angles.
- Dual_quaternion wikiPageWikiLink Division_ring.
- Dual_quaternion wikiPageWikiLink Dual_number.
- Dual_quaternion wikiPageWikiLink Eduard_Study.
- Dual_quaternion wikiPageWikiLink Elsevier.
- Dual_quaternion wikiPageWikiLink Eponym.
- Dual_quaternion wikiPageWikiLink Euclidean_group.
- Dual_quaternion wikiPageWikiLink Exponential_map_(Lie_theory).
- Dual_quaternion wikiPageWikiLink Group_of_units.
- Dual_quaternion wikiPageWikiLink Homogeneous_transformation_matrix.
- Dual_quaternion wikiPageWikiLink Ideal_(ring_theory).
- Dual_quaternion wikiPageWikiLink Kinematics.
- Dual_quaternion wikiPageWikiLink Lie_group.
- Dual_quaternion wikiPageWikiLink Local_ring.
- Dual_quaternion wikiPageWikiLink MIT.
- Dual_quaternion wikiPageWikiLink Massachusetts_Institute_of_Technology.
- Dual_quaternion wikiPageWikiLink Mathematics.
- Dual_quaternion wikiPageWikiLink Mathematische_Annalen.
- Dual_quaternion wikiPageWikiLink Maximal_ideal.
- Dual_quaternion wikiPageWikiLink Mechanics.
- Dual_quaternion wikiPageWikiLink Olinde_Rodrigues.
- Dual_quaternion wikiPageWikiLink Orthogonal_matrix.
- Dual_quaternion wikiPageWikiLink Quaternion.
- Dual_quaternion wikiPageWikiLink Quaternions_and_spatial_rotation.
- Dual_quaternion wikiPageWikiLink Rational_motion.
- Dual_quaternion wikiPageWikiLink Real_number.
- Dual_quaternion wikiPageWikiLink Ring_(mathematics).
- Dual_quaternion wikiPageWikiLink Ring_theory.
- Dual_quaternion wikiPageWikiLink Robot.
- Dual_quaternion wikiPageWikiLink Screw_axis.
- Dual_quaternion wikiPageWikiLink Screw_theory.
- Dual_quaternion wikiPageWikiLink Split-biquaternion.
- Dual_quaternion wikiPageWikiLink Three-dimensional_space.
- Dual_quaternion wikiPageWikiLink Three-dimensional_space_(mathematics).
- Dual_quaternion wikiPageWikiLink Transformation_matrix.
- Dual_quaternion wikiPageWikiLink Unit_(ring_theory).
- Dual_quaternion wikiPageWikiLink W._R._Hamilton.
- Dual_quaternion wikiPageWikiLink Wilhelm_Blaschke.
- Dual_quaternion wikiPageWikiLink William_Kingdon_Clifford.
- Dual_quaternion wikiPageWikiLink William_Rowan_Hamilton.
- Dual_quaternion wikiPageWikiLink File:Quaternion_Plaque_on_Broom_Bridge.jpg.
- Dual_quaternion wikiPageWikiLinkText "Dual quaternion".
- Dual_quaternion wikiPageWikiLinkText "dual quaternion".
- Dual_quaternion wikiPageWikiLinkText "parabolic biquaternions".
- Dual_quaternion hasPhotoCollection Dual_quaternion.
- Dual_quaternion wikiPageUsesTemplate Template:!.
- Dual_quaternion wikiPageUsesTemplate Template:=.
- Dual_quaternion wikiPageUsesTemplate Template:Refbegin.
- Dual_quaternion wikiPageUsesTemplate Template:Refend.
- Dual_quaternion wikiPageUsesTemplate Template:Reflist.
- Dual_quaternion subject Category:Kinematics.
- Dual_quaternion subject Category:Machines.
- Dual_quaternion subject Category:Quaternions.
- Dual_quaternion hypernym Algebra.
- Dual_quaternion type Algebra.
- Dual_quaternion type Machine.
- Dual_quaternion type Mechanic.
- Dual_quaternion type Object.
- Dual_quaternion type Quaternion.
- Dual_quaternion comment "In mathematics and mechanics, the set of dual quaternions is a Clifford algebra that can be used to represent spatial rigid body displacements. A dual quaternion is an ordered pair of quaternions  = (A, B) and therefore is constructed from eight real parameters.".
- Dual_quaternion label "Dual quaternion".
- Dual_quaternion sameAs m.027gmts.
- Dual_quaternion sameAs Dualni_kvaternion.
- Dual_quaternion sameAs Q5310237.
- Dual_quaternion sameAs Q5310237.
- Dual_quaternion wasDerivedFrom Dual_quaternion?oldid=676267087.
- Dual_quaternion depiction Quaternion_Plaque_on_Broom_Bridge.jpg.
- Dual_quaternion isPrimaryTopicOf Dual_quaternion.