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153 656 (0,467s)

Result

Aggregation on finite ordinal scales by scale independent functions

We give an interpretation of order invariant functions as scale independent functions for the aggregation on finite ordinal scales....

BA - Obecná matematika

  • 2004
  • D
Result

Second order differential invariants of linear frames

The aim of this paper is to characterize all second order tensor-valued and scalar differential invariants of the bundle of linear frames FX over an n-dimensional manifold X. These differential invariants are obtained by fa...

BA - Obecná matematika

  • 2010
  • Jx
Result

Rank 1 convex hulls of rotationally invariant functions

A rotationally invariant function $ f $ defined on the set $/mathbb {M}{n/times n} $ of all real square matrices of order $n$ has a representation $/tilde f$ on $/mathbb {R} n$ through the signed singular values of the matr...

BA - Obecná matematika

  • 2003
  • D
Result

Monotonicity of rotationally invariant convex and rank 1 convex functions.

Let f be a function on the space Lin of n by n matrices that is invariant with respect to the left and right multiplication by proper orthogonal tensors. It is shown fromLin satisfy certain ordering inequalities. The same h...

BA - Obecná matematika

  • 2002
  • Jx
Result

The Zermelo conditions and higher order homogeneous functions

-hand sides are higher order positive homogeneous functions, is invariantInvariance under reparametrizations of integral curves of higher order) differential groups, known in the theory of differential

BA - Obecná matematika

  • 2013
  • Jx
  • Link
Result

HIGHER-ORDER COMPACT EMBEDDINGS OF FUNCTION SPACES ON CARNOT-CARATHEODORY SPACES

A sufficient condition for higher-order compact embeddings on bounded domains in Carnot-Caratheodory spaces is established for the class of rearrangement-invariant function spaces. The condition is expressed in terms of com...

Pure mathematics

  • 2018
  • Jimp
  • Link
Result

On SO(n) invariant rank 1 convex functions

Let f be a function defined on the set of all real square matrices of order n.If f is SO(n)--invariant, it has a representation g the signed singular valuesof the matrix argument A. A necessary and sufficient condition for ...

BA - Obecná matematika

  • 2004
  • Jx
Result

Lowest degree invariant second-order PDEs over rational homogeneous contact manifolds

the lowest possible degree of an invariant second-order PDE over the adjoint variety for the lowest-degree invariant second-order PDEs. For g of types E and F-4, we prove uniqueness of the lowest-degree invari...

Pure mathematics

  • 2019
  • Jimp
  • Link
Result

Affine Moment Invariants of Color Images

transform, additional invariants can be computed. They have low order and therefore high robustness to noise. The new invariants are compared with another set of invariantsA new type of affine moment invariant...

JD - Využití počítačů, robotika a její aplikace

  • 2009
  • D
Result

Higher-order Sobolev embeddings and isoperimetric inequalities

Optimal higher-order Sobolev type embeddings are shown to follow via isoperimetric inequalities. This establishes a higher-order analogue of a well-known link between first-order Sobolev embeddings and isoperimetric inequal...

BA - Obecná matematika

  • 2015
  • Jx
  • Link
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