Results 221 to 230 of about 957 (247)

Minimum Spacetime Length and the Thermodynamics of Spacetime. [PDF]

Entropy (Basel)
Rossi V, Cacciatori SL, Pesci A.
europepmc   +1 more source

A novel approach integrating topological deep learning from EEG Data in Alzheimer's disease.

Sci Rep
Esteve M, Martinez-Gracia A, Rodríguez-Sala JJ, Brotons-Mas JR, Falcó A.   +4 more
europepmc   +1 more source

Theory of multiscale epithelial mechanics under stretch: from active gels to vertex models

Ouzeri A, Kale S, Chahare N, Torres-Sanchez A, Santos-Olivan D, Trepat X, Arroyo M.   +6 more
europepmc   +1 more source

Separating Invariants [PDF]

Encyclopaedia of Mathematical Sciences, 2011
H E A Eddy Campbell, David L Wehlau, Campbell H E A Eddy   +2 more
exaly   +3 more sources

Separating invariants and finite reflection groups [PDF]

Advances in Mathematics, 2009
A separating algebra is, roughly speaking, a subalgebra of the ring of invariants whose elements distinguish between any two orbits that can be distinguished using invariants. In this paper, we introduce a geometric notion of separating algebra.
Emilie Dufresne
exaly   +3 more sources

The Cohen–Macaulay property of separating invariants of finite groups [PDF]

Transformation Groups, 2009
In the case of finite groups, a separating algebra is a subalgebra of the ring of invariants which separates the orbits. Although separating algebras are often better behaved than the ring of invariants, we show that many of the criteria which imply the ...
Emilie Dufresne, Jonathan Elmer, Martin Kohls   +2 more
exaly   +6 more sources

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Non-separable rotation moment invariants

Pattern Recognition, 2022
In this paper, we introduce new rotation moment invariants, which are composed of non-separable Appell moments. We prove that Appell polynomials behave under rotation as monomials, which enables easy construction of the invariants. We show by extensive tests that non-separable moments may outperform the separable ones in terms of recognition power and ...
Leonid Bedratyuk, Jan Flusser, Tomás Suk, Jitka Kostková, Jaroslav Kautsky   +4 more
openaire   +2 more sources

A note on a separating system of rational invariants for finite dimensional generic algebras [PDF]

Journal of Physics: Conference Series, 2017
The paper deals with a construction of a separating system of rational invariants for finite dimensional generic algebras. In the process of dealing an approach to a rough classification of finite dimensional algebras is offered by attaching them some ...
U Bekbaev
exaly   +3 more sources

Generic separating sets for three-dimensional elasticity tensors [PDF]

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019
International audienceWe define what is a generic separating set of invariant functions (a.k.a. a weak functional basis) for tensors. We produce then two generic separating sets of polynomial invariants for 3D elasticity tensors, one made of 19 ...
R Desmorat, N Auffray, B Desmorat
exaly   +3 more sources

Rotation Invariant Separable Functions are Gaussian

SIAM Journal on Mathematical Analysis, 1992
The following theorem is basic here: ``Let \(f,g: \mathbb{R}\to\mathbb{R}\) satisfy the equation (FE) \(f(x+y)=f(x)f(y)g(xy)\), \(x,y\in\mathbb{R}\), where \(f\) and \(g\) are not identically zero functions. Then the general solution of (FE) is given by \(f(x)=c \exp[A_ 1(x^ 2)/2+A_ 2(x)]\), \(g(x)=c^{- 1}\exp[A_ 1(x)]\), \(x\in\mathbb{R}\), where \(A_
Kannappan, PL., Sahoo, P. K.
openaire   +1 more source