The mathematical problem discussed is important for generating test cases in order to debug floating point adders designs. Floating point numbers are assumed to be written as strings of {0, 1} bits, in a format compatible with IEEE standard 754. A mask is a string of characters, composed of {′0′,′ 1′,′ x′}. A number and a mask are compatible if they have the same length and each numerical chara...

B. Z orc, W elding I nstitute, L jubljana, S lovenia; M . I mamović, Un iversity of Zenica, Faculty of Mechanical Engineering, Zenica, B a nd H; A. Nagode, B. Kosec, L. Kosec, University of Ljubljana, Faculty of Natural Sciences and Engineering, Ljubljana, Slovenia; A. Stoić, I. Samardžić, University of Osijek, Mechanical Engineering Faculty, Slavonski Brod, Croatia Intercrystally distributed n...

Suppose S is a surface of genus ≥ 2, f : S → S is a surface homeomorphism isotopic to a pseudo-Anosov map α and suppose S̃ is the universal cover of S and F and A are lifts of f and α respectively. A result of A. Fathi shows there is a semiconjugacy Θ : S̃ → L̄ × L̄ from F to Ā, where L̄ (L̄) is the completion of the R-tree of leaves of the stable (resp. unstable) foliation for A and Ā is the map ind...

M. V. Achim, Babeş-Bolyai University, Cluj-Napoca, Romania, S.N. Borlea, West Vasile Goldis University, Arad, Romania In this paper, we developed a model of a global diagnosis, applicable to any company operating in the metal industry. Unlike other models used for this purpose (such as statistical models or models based only on Ā nancial variables) the proposed model has the advantage of being ...

Using lower bounds on distance spectrum components of a code on the Euclidean sphere, we improve the known asymptotical upper bounds on the cardinality of multiple packings of the sphere by balls of smaller radii. Let Rn be the n-dimensional Euclidean space, and Sn−1(r) ⊂ Rn be the (closed) Euclidean sphere of radius r with the center in the origin. Let further S̃n−1(r, ā) be the open ball of ra...

The measurability by means of continuous measurements, of an observable A(t0), at an instant, and of a time averaged observable, Ā = 1/T ∫ A(t)dt, is examined for linear and in particular for non-linear quantum mechanical systems. We argue that only when the exact (non-perturbative) solution is known, an exact measurement may be possible. A perturbative approach is shown to fail in the non-line...

Digital health is expanding, driven by international and national strategic imperatives for improving systems. Nurses are key stakeholders in healthcare therefore nursing leadership plays a role supporting the workforce to develop skills fully engage with digital health. This review aims synthesise research exploring how nurse leaders can capability using question: “How do enable hospital nurse...

A general Gauss divergence theorem with applications to convolution integrals of the form ∫ f(x̄)h(|x̄− ā|)dVn, where the integration extends over an n-dimensional polyhedral domain, is presented. The kernel h(|x̄ − ā|) may be singular, but the given integral must remain integrable. As a result of the Gauss theorem, the given integral is reduced to an integral over the boundary of the n-dimensiona...

The Stone-Čech compactification of discrete semigroups is a tool of central importance in several areas of mathematics, and has been studied extensively. We think of the Stone-Čech compactification of a discrete abelian semigroup G as the set βG of ultrafilters on G, where the point x ∈ G is identified with the principal ultrafilter {A ⊆ G ∣∣x ∈ A}, and the basic open sets are those of the form...