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Covariant coordinate transformations on noncommutative
"... We show how to define gaugecovariant coordinate transformations on a noncommuting space. The construction uses the SeibergWitten equation and generalizes similar results for commuting coordinates. 2 R. Jackiw and S.Y. Pi ..."
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Cited by 18 (3 self)
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We show how to define gaugecovariant coordinate transformations on a noncommuting space. The construction uses the SeibergWitten equation and generalizes similar results for commuting coordinates. 2 R. Jackiw and S.Y. Pi
Freedom in Coordinate Transformation for
"... This paper deals with the use of extra freedom in the exact linearization technique. Firstly, the freedom in choosing the coordinate transformation and nonlinear state feedback for the exact linearization is clarified. Secondly, a controller design strategy for the transient behavior improvement in ..."
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This paper deals with the use of extra freedom in the exact linearization technique. Firstly, the freedom in choosing the coordinate transformation and nonlinear state feedback for the exact linearization is clarified. Secondly, a controller design strategy for the transient behavior improvement
Coordinate transformations in object recognition
, 2006
"... A basic problem of visual perception is how human beings recognize objects after spatial transformations. Three central classes of findings have to be accounted for: (a) Recognition performance varies systematically with orientation, size, and position; (b) recognition latencies are sequentially add ..."
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Cited by 19 (2 self)
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transformation of a perceptual coordinate system that aligns memory and input representations. Coordinate transformations can be implemented neurocomputationally by gain (amplitude) modulation and may be regarded as a general processing principle of the visual cortex.
Coordinate Transformation & Invariance in
, 2007
"... It is a remarkable fact [1] that Maxwell’s equations under any coordinate transformation can be written in an identical “Cartesian ” form, if simple transformations are applied to the materials (ε and µ), the fields (E and H), and the sources (ρ and J). This result has numerous useful and/or beautif ..."
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It is a remarkable fact [1] that Maxwell’s equations under any coordinate transformation can be written in an identical “Cartesian ” form, if simple transformations are applied to the materials (ε and µ), the fields (E and H), and the sources (ρ and J). This result has numerous useful and
COORDINATE TRANSFORMATION IN NANOROBOTICS
"... As it is the well known, the nanorobotics is the multidisciplinary field that deals with the controlled manipulation of atomic and molecularsized objects and therefore sometimes is called molecular robotics. In order to design control algorithm for control of a nanorobot motion in a multipotential ..."
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field, one should start with the related coordinate transformations. It has been done in this paper for two nanorobots, or two nanoobjects generally, where first one is moving relative to the second one in an alpha field with a velocity vα, along the positive axis of x. Here an alpha field denotes a
Generalized Lorentz Coordinate Transformation
"... This paper derives equations for generalized Lorentz coordinate transformation based on a simple principle that only the wave equation must be form invariant and valid in both coordinate systems. The usual requirement that the speed of light is a universal constant and thus has an identical value in ..."
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This paper derives equations for generalized Lorentz coordinate transformation based on a simple principle that only the wave equation must be form invariant and valid in both coordinate systems. The usual requirement that the speed of light is a universal constant and thus has an identical value
Automated Learning of Coordinate Transformations
"... Eyehand coordination is an important milestone of development both in infants and robots. It has been widely advocated that a robotic system can learn eyehand coordination better through development rather than engineered designs (Brooks et al., 1999, Metta et al., 2000). The core of eyehand coo ..."
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hand coordination is automated learning of coordinate transformation, i.e. how to transform visually based coordinates (sensory input) to body based coordinates (motor information). The transformation is usually nonlinear, which adds up the difficulty and needs prior knowledge of surrounding environment, which
Coordinate Transformation Of Birnin Kebbi
"... The connection between global and local datums is usually established by transformation parameters. This Research is aimed at transforming the local Coordinates of Birnin Kebbi to the Universal transverse Mercator (UTM WGS84), which make the state fit into the global reference system, the need for ..."
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The connection between global and local datums is usually established by transformation parameters. This Research is aimed at transforming the local Coordinates of Birnin Kebbi to the Universal transverse Mercator (UTM WGS84), which make the state fit into the global reference system, the need
in the coordinates transformation for exact linearization
"... Obstacle avoidance of manipulators by using freedom ..."
Triple Coordinate Transform
, 2004
"... Three dimensional mine impact prediction model (IMPACT35) ..."
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