Let V ≤ ‖D‖. W. Maclaurin’s description of hyperbolic functionals was a milestone in numerical Lie theory. We show that Z ′ = T ′. We wish to extend the results of [29] to Borel classes. On the other hand, a useful survey of the subject can be found in [29].

This talk is a survey of the question of joint measurability of coexistent observables and its is based on the monograph Operational Quantum Physics [1] and on the papers [2, 3, 4]. A lecture presented at Quantum Composite Systems 2002, Ustron, Poland, 3.-7.9.2002.

In this technical report, the systematic investigation of lattice-valued possibilistic measures, opened in the first part of this report (cf. Technical Report No. 952, ICS AS CR, December 2005) is pursued and focused towards possibilistic variants of the notions of outer (upper) and lower (inner) possibilistic measures induced by a given partial possibilistic measure. The notion of Lebesgue mea...

A wide range of metrology processes are involved in the manufacture of large products. In addition to the traditional tool setting and product verification operations increasingly flexible metrology enabled automation is also being used. Faced with many possible measurement problems and a very large number of metrology instruments, employing diverse technologies, the selection of the appropriat...

The well-known Conley’s theorem states that the complement of chain recurrent set equals the union of all connecting orbits of the flow φ on the compact metric space X , i.e. X − CR(φ) = ⋃ [B(A) − A], where CR(φ) denotes the chain recurrent set of φ, A stands for an attractor and B(A) is the basin determined by A. In this paper we show that by appropriately selecting the definition of random at...

We present a simple example where the use of σ-algebras as a model of information leads to a paradoxical conclusion: a decision maker prefers less information to more. We then explain that the problem arises because the use of σ-algebras as the informational content of a signal is inadequate. We provide a characterization of the different models of information in the literature in terms of Blac...

We show that Σ4–Amoeba–absoluteness implies that ∀a ∈ R (ω L[a] 1 < ω V 1 ), and hence Σ3–measurability. This answers a question of Haim Judah (private communication).

The cobalt glycyl-leucine dipeptide is a model system for studying the effects of Karplus equation calibration, molecular mechanics accuracy, backbone conformation, and thermal motions on the measurability of side chain rotational isomer populations. We analyze measurements of 8 vicinal coupling constants about the α to β-carbon and β to γ-carbon bonds of the leucine side chain and of 10 NOESY ...

Several recent studies have been devoted to investigating the limitations that ordinary quantum mechanics and/or quantum gravity might impose on the measurability of space-time observables. These analyses are often confined to the simplified context of two-dimensional flat space-time and rely on a simple procedure for the measurement of space-like distances based on the exchange of light signal...

In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-negative measures and construct the corresponding Lp spaces, for distributions p > "0. It is alsoshown that if the distribution p satises p "1 then, as in the classical case, these spaces are completeprobabilistic normed spaces.