It is shown that every countable group G has a faithful representation as an ergodic freelyacting group of transformations of a commutative Neumann algebra M with measure μ , leaving the measure μ quasi-invariant, while there does not exist a measure μ′ which is equivalent to μ and ...
We will continue to encourage their work. I’ve suggested to them that they need to add a third category: both digital-and-continuous.We will attempt to help as they inch closer to a reduction in practice to measure the unmeasurable. Institute for Particle Physics Phenomenology(IPPP). [7]T...
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R.O. Davies, Sets which are null or non-sigma-finite for every translation-invariant measure, Mathematika 18 (1971) 161-162.Sets which are null or non-sigma-finite for every translationinvariant measure - Davies () Citation Context ...sfirst step.sThe second motivating factor has to do ...
These descriptors are better than other global descriptors such as Fourier descriptors and moments as they can include both global and local information on the shape.; For recognition, a new method of similarity measure for Fuzzy-attributed graphs (FAGs) is proposed which provides a more robust ...
with associated invariant measure mu contains an ideal S 0 which is embeddable as an open subsemigroup in a locally compact abelian group G in such a way that the restriction to S 0 of mu coincides with the restriction to S 0 of a Haar measure on G. This is a positive answer to a...
Finding exact solutions of the equations of motion of this model is a complex task, and even if we find several exact cosmological solutions, these may belong in a set of measure zero. This is why in this and in the other cases in this paper we apply the tools of dynamical systems ...
Maximum entropy is calculated by the same Equation (2) when all of the pi probabilities are equal one to another. However, when they are not equal and redundancy respectively is more than zero, this formula could be used as a measure of information in quite different fields of knowledge. ...
where R is the curvature scalar, 𝐿𝑚 is the Lagrangian density of the background perfect fluid, and 𝐿(𝐹,𝐺) is the gauge-invariant electromagnetic (EM) Lagrangian density, which is a function of the electromagnetic invariants 𝐹=𝐹𝜇𝜈𝐹𝜇𝜈=2(𝐵2−𝐸2),𝐺=...