We explicitly determine quasi-polynomials describing the weight multiplicities of the Lie algebra so5(C). This information entails immediate complete knowledge of the character of any simple representation as well as the asymptotic behavior of characters.

Smallest and greatest 1-Lipschitz aggregation operators with given diagonal section, opposite diagonal section, and with graphs passing through a single point of the unit cube, respectively, are determined. These results are used to find smallest and greatest copulas and quasi-copulas with these properties (provided they exist).

A d-space X = (X, %, μ) is a compact set X with respect to a quasi-metric % and a Borel measure μ such that the measure of a ball of radius r is equivalent to r, where d > 0. The paper deals with spaces B p(X;H) of Besov type where 1 < p < ∞ and s ∈ R. Here H is a bi-Lipschitzian map of the snowflaked version (X, %, μ) of X for some 0 < ε < 1, onto a fractal d/ε-set Γ = HX in some R, reducing t...

Inspired by the dendritic integration and spiking operation of a biological neuron, flexible oxide-based neuromorphic transistors with multiple input gates are fabricated on flexible plastic substrates for pH sensor applications. When such device is operated in a quasi-static dual-gate synergic sensing mode, it shows a high pH sensitivity of ~105 mV/pH. Our results also demonstrate that single-...

That acknowledged, I am of the opinion that mathematical philosophy matters more now than it has in nearly a century. The power of modern computers matched with that of modern mathematical software and the sophistication of current mathematics is changing the way we do mathematics. In my view it is now both necessary and possible to admit quasi-empirical inductive methods fully into mathematica...

This paper considers the problem of minimizing a frequency-weighted l2-sensitivity measure subject to l2scaling constraints for 2-D state-space digital filters. First, the frequency-weighted l2-sensitivity is analyzed for 2-D state-space digital filters described by the Roesser local state-space model. Next, the minimization problem of the frequency-weighted l2-sensitivity subject to l2-scaling...

Let 2 be a binary relation on R’!+. The convexed relation 2 is defined by xky iff Vz[y~conv{w:w~z}]*[x~conv{w:w~z)] [see Hildenbrand (1974)]. Starr (1969), first formally presented this relation, which was used by him and by others in equilibrium analysis of markets with non-convex preference relations [see for example Shaked (1976)]. The question arises which properties of the unconvexed relat...

k-anonymity is the method used for masking sensitive data which successfully solves the problem of re-linking of data with an externa l source and makes it difficul t to l'e-iden tify the individual. T hus kanonymity works on a set of quasi-identifiers (public sensitive at t ributes), whose possible availability and linking is anticipated from external dataset , and demands that the released da...

Abstract Sensitivity to initial conditions is usually associated with chaotic dynamics and strange attractors. However, even systems with (quasi)periodic dynamics can exhibit it. In this context we report on the fractal properties of the isochrons of some continuous-time asymptotically periodic systems. We define a global measure of phase sensitivity that we call the phase sensitivity coefficie...