A homeomorphism f : X → X of a compactum X with metric d is expansive if there is c > 0 such that if x, y ∈ X and x 6= y, then there is an integer n ∈ Z such that d(fn(x), fn(y)) > c. A homeomorphism f : X → X is continuum-wise expansive if there is c > 0 such that if A is a nondegenerate subcontinuum of X, then there is an integer n ∈ Z such that diam fn(A) > c. Clearly, every expansive homeom...

A temperature controlled 1 Ω–10 kΩ Standard resistors setup was developed at National Institute of Metrological Research, (INRIM). The aim of this realization was the involvement of the setup resistors in the traceability transfer process to high accuracy multifunction electrical instruments used in Secondary Electrical Calibration Laboratories or even their use as primary Standards in high lev...

A well-known equivalence of randomization result of Wald and Wolfowitz states that any Young measure can be regarded as a probability measure on the set of all measurable functions. Here we give a suucient condition for the Young measure to be equivalent to a probability measure on the set of all integrable selectors of a given multifunction. In this way, Aumann's identity for integrals of mult...

This paper considers the relational versions of the surjective and multifunction weak pigeonhole principles for PV , Σ1 and Θ b 2-formulas. We show that the relational surjective pigeonhole principle for Θ2 formulas in S 1 2 implies a circuit block-recognition principle which in turn implies the surjective weak pigeonhole principle for Σ1 formulas. We introduce a class of predicates correspondi...

In this paper some fixed point principle is applied to prove, in a separable Banach space, the existence of solutions for delayed second order differential inclusions with three-point boundary conditions of the form ü(t) ∈ F (t, u(t), u(h(t)), u̇(t)) +H(t, u(t), u(h(t)), u̇(t)) a.e. t ∈ [0, 1], where F is a convex valued multifunction upper semi continuous on E ×E ×E, H is a lower semicontinuous ...

A new algorithm is proposed for phased array radar search function resource allocation. The proposed algorithm adaptively priorities radar search regions and in overload situations, based on available resources, radar characteristics, maximum range and search regions, optimally allocates radar resources in order to maximize probability of detection. The performance of new algorithm is evaluated...

In Ref.1, extremum problems having in nite-dimensional image have been considered and some preliminary properties have been established. Here we carry on the investigation of such problems and study an optimality condition for the case of unilateral constraints, which partially extends the results of [2,3] to the present type of problems. This is done by associating to the feasible set a specia...

In this paper a new power quality monitoring (PQM) system for detection and classification of power quality voltage disturbances is presented. The implementation of the proposed PQM system in a graphical user interface (GUI) is also presented. The wavelet transform (WT) is used for de-noising and detection of the disturbances on power voltage line. Detected disturbances are separated using bina...

We present some new results on the existence and the approximationof common fixed point of expansive mappings and semigroups in probabilisticmetric spaces.