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Showing 1 to 7 of 7 for “"Transformation group"”.
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Density Theorems Relative to Mean Regular Coverings and a Transformation Group in Abstract Measure Space
Made available in DSpace on 2014-12-09T22:17:48Z (GMT). No. of bitstreams: 1 6901469.pdf: 2035308 bytes, checksum: fac508c4eb8a5e0a98c3b36b4f749b9b (MD5) Previous issue date: 1968
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Some applications of lie transformation groups to classical Hamiltonian dynamics
Recent work has established that a group theoretical viewpoint of completely integrable dynamical systems with N degrees of freedom yields an algorithm that provides new information concerning the symmetry transformation group structure of this class of dynamical systems. The work presented here …
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The effects of a grouping by tens manipulative on children's strategy use, base ten understanding and mathematical knowledge
… to closely examine the affordances of a novel grouping by tens virtual manipulative. Seventy-nine first grade students were randomly assigned to one of two math software comparison groups or a reading software control group. In the math comparison groups, children received scaffolding and …
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Shape analysis in shape space
… of each class are transformed to each other by a transformation group preserving a geometrical property in which we are interested. Therefore, each deformation is a curve on the high dimensional shape space manifold, and one can classify the deformations by comparison of their corresponding …
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A unified framework for identifiability analysis in bilinear inverse problems
… BIPs. We define identifiability of a BIP up to a group of transformations. Then we derive necessary and sufficient conditions for such identifiability, i.e., the conditions under which the solutions can be uniquely determined up to the transformation group. Blind gain and phase calibration (BGPC) …
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Symmetry and Other Structures: Topics in Nonparametric Regression
… lower dimensional patterns in f in terms of transformations of the covariate space: Ψ_f ⊆ {Bijections ψ∶X→X} (1) for which f ○ ψ = f for all ψ ∈ Ψ_f . Functions that satisfy this property have Symmetry: in the same way that we can translate a sparse function along the unimportant axes we can …
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Caustics in gravitational theories
… the similarity solution (based on simple scaling transformations) obtained in the limit as we approach the cusp describes unbounded densities on the axis of symmetry. To correct this we suppose that the Newtonian constant G must also be scaled. We find that the solution now obtained in the limit …