In this paper we show how the relationships between real world actors and contextual information can be formulated in the presence of uncertainty. In particular, we show how relationship functions can be defined for uncertain numerical context values using interval arithmetic and analogously for context ontologies defined as trees. We illustrate the functions with a small example from our work ...

(and analogously for λmin) exists for almost all sequences and is independent of the initial (finite) choice of x(0). This result shows that, in principle, it is possible to calculate the efficiency measures discussed above. The main difference is that, although the Lyapunov exponents exist, there is no nice prescription for their calculation. The development of efficient numerical algorithms i...

A glued graph at K2-clone (K3-clone) results from combining two vertex-disjoint graphs by identifying an edge (a triangle) of each original graph. The clique covering numbers of these desired glued graphs have been investigated recently. Analogously, we obtain bounds of the clique partition numbers of glued graphs at K2-clones and K3-clones in terms of the clique partition numbers of their orig...

Herein we report palladium-catalyzed asymmetric benzylic alkylation with 3-aryl oxindoles as prochiral nucleophiles. Proceeding analogously to asymmetric allylic alkylation, asymmetric benzylation occurs in high yield and enantioselectivity for a variety of unprotected 3-aryl oxindoles and benzylic methyl carbonates using chiral bisphosphine ligands. This methodology represents a novel asymmetr...

We investigate the effect of a positive population inflow of individuals from an external source on the dynamical behaviour of certain physisologically structured population models. We treat a size-structured model with constant inflow and nonlinear birth rate and an age-structured model with nonlinear (density dependent) inflow and linear birth rate. Analogously to the inherent net reproductio...

The supersymmetric version of a topological quantum field theory describing flat connections, the super BF-theory, is studied in the superspace formalism. A set of observables related to topological invariants is derived from the curvature of the superspace. Analogously to the non-supersymmetric versions, we find that the theory exhibits a vector-like supersymmetry. The role of the vector super...

We studied a refractive index sensor that consists of two cascaded ring resonators and that works analogously to a Vernier-scale. We implemented it in silicon-on-insulator and experimentally determined its sensitivity to be as high as 2169 nm/RIU in aqueous environment. We derived formulas describing the sensor's operation, and introduced a fitting procedure that allows to accurately detect cha...

We give an extension of the lower bound of [VŽ93] for the number of Tverberg partitions from the prime to the prime power case. Our proof is inspired by the Zp–index version of the proof in [Mat03] and uses Volovikov’s Lemma. Analogously, one obtains an extension of the lower bound for the number of different splittings of a generic necklace to the prime power case.

The atom-bond connectivity index is a recently introduced topological index defined as [Formula: see text], where du denotes degree of vertex u. Here we define a new version of the ABC index as [Formula: see text], where nu denotes the number of vertices of G whose distances to vertex u are smaller than those to other vertex v of the edge e = uv, and nv is defined analogously. The goal of this ...

Most measurements in particle and nuclear physics use matrix-based unfolding algorithms to correct for detector effects. In nearly all cases, the observable is defined analogously at level. We point out that while particle-level needs be physically motivated link with theory, detector-level need not can optimized. show using deep learning define observables has capability improve measurement wh...