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Manipulability ellipsoid information


The manipulability ellipsoid is a concept in robotics that represents the manipulability of a robotic system in a graphical form. Here, the manipulability of a robot refers to its ability to alter the position of the end effector based on the joint configuration. A higher manipulability measure signifies a broader range of potential movements in that specific configuration. When the robot is in a singular configuration the manipulability measure diminishes to zero.

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Manipulability ellipsoid

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robot is in a singular configuration the manipulability measure diminishes to zero. The manipulability ellipsoid is defined as the set { ξ : ξ T ( J ( q...

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Ellipsoid

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Lamé's stress ellipsoid, an alternative to Mohr's circle for the graphical representation of the stress state at a point. Manipulability ellipsoid, used to...

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Index of robotics articles

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MakerBot Industries Manifold integration Manifold learning Manipulability ellipsoid Manipulator (device) Manix Manuela M. Veloso Marc Raibert MARCbot Marine...

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Moment of inertia

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a quadratic form that defines a surface in the body called Poinsot's ellipsoid. Let Λ {\displaystyle {\boldsymbol {\Lambda }}} be the inertia matrix...

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Montessori sensorial materials

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from wood and usually painted blue. The shapes are: Sphere Cone Ovoid Ellipsoid Triangle-based pyramid Square-based pyramid Cube Cylinder Rectangular...

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Bracovirus

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Bracoviriform texani Viruses in Bracovirus are enveloped, with prolate ellipsoid and cylindrical geometries. Genomes are circular and segmented, around...

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Stage lighting instrument

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thereof) to create the desired effect. An ellipsoidal reflector has a lamp set at one focus point of an ellipsoid-shaped reflector that bounces the light...

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Bovine serum albumin

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coefficient of 43,824 M−1cm−1 at 279 nm Dimensions: 140 × 40 × 40 Å (prolate ellipsoid where a = b < c) pH of 1% Solution: 5.2-7 Optical Rotation: [α]259: -61°;...

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Principal component analysis

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p-dimensional ellipsoid to the data, where each axis of the ellipsoid represents a principal component. If some axis of the ellipsoid is small, then...

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Polydnaviriformidae

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Ichnoviriform terebrantis Viruses in Polydnaviridae are enveloped, with prolate ellipsoid and cylindrical geometries. Genomes are circular and segmented, composed...

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Dielectrophoresis

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the number of unknowns being sought. For a more general field-aligned ellipsoid of radius r {\displaystyle r} and length l {\displaystyle l} with complex...

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Liquid crystal

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(November 1989). "Ferroelectric nematic liquid-crystal phases of dipolar hard ellipsoids". Physical Review A. 40 (9): 5444–5446. Bibcode:1989PhRvA..40.5444B. doi:10...

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Dribbling

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running the running bounce in Australian rules football, bouncing the ellipsoidal ball on the ground and back to oneself while running Glossary of association...

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Moving heat source model for thin plates

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and later, other heat source distributions, such as semi-ellipsoidal and double ellipsoidal. The governing equation for 3D transient heat transfer in...

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Philip Batchelor

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measure the geodesic distance between tensors (always maintaining an ellipsoid shape), how to average them, how to perform interpolation and rotation...

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Scanning helium microscopy

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B.; Miros, A.; Piatkowski, B.; E Søndergård; Holst, B. (2010). "An ellipsoidal mirror for focusing neutral atomic and molecular beams" (PDF). New Journal...

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Stage lighting

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Secondly, the specifics of how the lamp is focused affect its pattern. In ellipsoidal reflector spotlights (ERS) or profile spotlights, there are two beams...

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Virtual human

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to create virtual human models e.g. cylinders by Poter and Willmert or ellipsoids by Herbison-Evans. Badler and Smoliar proposed Bubbleman as a three-dimensional...

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Rigid body dynamics

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is discussed in the articles Euler's equation of motion and Poinsot's ellipsoid. It follows from Euler's equation that a torque τ applied perpendicular...

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Carl Friedrich Gauss

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flattening of the approximative Earth ellipsoid. Gauss developed the universal transverse Mercator projection of the ellipsoidal shaped Earth (what he named conform...

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Waptia

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well as other mandibulates, and are thought to correspond to the hemi-ellipsoid bodies of crustaceans, and thus likely have an olfactory function. Between...

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Analytic geometry

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j=1}^{3}x_{i}Q_{ij}x_{j}+\sum _{i=1}^{3}P_{i}x_{i}+R=0.} Quadric surfaces include ellipsoids (including the sphere), paraboloids, hyperboloids, cylinders, cones, and...

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Artificial white blood cells

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shape, polymersomes can be formed into various shapes such as discs, ellipsoids, and tubes. Methods such as thin film rehydration and direct injection...

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History of metamaterials

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particles, which would be of varying geometric shape; spheres, discs, ellipsoids and prolate or oblate spheroids, and would be either isolated or set in...

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Exterior algebra

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in ⋀ ( V ) {\displaystyle {\textstyle \bigwedge }(V)} is performed by manipulating symbols and imposing a distributive law, an associative law, and using...

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HEALPix

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K=3 projection has become widely used in cosmology for storing and manipulating maps of the cosmic microwave background. Gaia mission uses HEALPix as...

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