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14 417 (0,167s) •

Result

Coordinate invariance as a fundamental constraint on the form of stimulus-specific information measures

to be invariant under invertible coordinate transformations of the stimulus and the response and the fundamental aspects of the coordinate invariance as a selection principle. We believe that our results will enco...

Applied mathematics

  • 2018
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  • Jimp
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  • Link
Result

General coordinate invariance in quantum many-body systems

We extend the notion of general coordinate invariance to many-body for making the theory invariant under coordinate diffeomorphisms. General covariance merely expresses the freedom to choose spacetime coordinat...

BE - Teoretická fyzika

  • 2014
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  • Jx
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  • Link
Result

All spacetimes with vanishing curvature invariants.

All Lorentzian spacetimes with vanishing invariants constructed from the Riemann tensor and its covariant derivatives are determined. A subclass of the Kundt spacetimes results and we display the corresponding metrics in local coordinate...

BE - Teoretická fyzika

  • 2002
    • •
  • Jx
Result

Stability-preserving Morse normal form

of state feedback, output injection, and input-coordinate, output-coordinate and state-coordinate transformations. The complete system invariant under the action of this group, output-coordinate, and stat...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2020
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  • Jimp
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  • Link
Result

Invariant Operators of First Order Generalizing the Dirac Operator in 2 Variables

We construct a complex of differential operator on a homogenous model od a parabolic geometry and show that these operators are invariant with respect to the group G=Spin(n 2,2). For some operators, an explicite description in coordinate...

BA - Obecná matematika

  • 2011
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  • D
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  • Link
Result

Implicit Moment Invariants

presentimplicit moment invariants with respect to polynomial transform of spatial coordinatesThe use of traditional moment invariants in object recognition is limited of the image. This paper introduces so-called implicit ...

BD - Teorie informace

  • 2010
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  • Jx
Result

Features for point set matching

Optimization of a method for 2D point set matching is presented. The members of the point sets are couples of coordinates. The method uses a description with features invariant to rotation, translation, addition or deletion of point...

JD - Využití počítačů, robotika a její aplikace

  • 2012
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  • D
Result

Recognition of Patterns in Vector Fields by Gaussian-Hermite Invariants

We propose a method for the recognition of vector field patterns under an unknown rotation. The rotation is modeled as a total transformation, which is applied on both spatial coordinates and field values. The invariants are constru...

Automation and control systems

  • 2017
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  • Link
Result

Point Sets Matching

Presented here is an optimization of a method for 2D point sets matching. The elements of the point sets are pairs of coordinates. The method is based on a description of the point sets which is invariant to four types of transforma...

JC - Počítačový hardware a software

  • 2010
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  • D
Result

Fractional vector analysis based on invariance requirements (critique of coordinate approaches)

The paper presents a novel approach to the operators of fractional vector analysis based on elementary requirements, viz. translational invariance, rotational invariance,homogeneity of degree α∈ R under isotropic scaling, certain we...

Applied mathematics

  • 2020
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  • Jimp
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  • Link
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