Wehrung, Friedrich

In an earlier paper we established that every second countable, completely normal spectral space is homeomorphic to the ℓ-spectrum of some Abelian ℓ-group. We extend that result to ℓ-spectra of vector lattices over any countable totally ordered division ring k. Extending our original machinery, about finite lattices of polyhedra, from linear to aff...

rovenski, vladimir

We investigated, for the first time, the curve shortening flow in the metric-affine plane and prove that under simple geometric condition (when the curvature of initial curve dominates the torsion term) it shrinks a closed convex curve to a &ldquo / round point&rdquo / in finite time. This generalizes the classical result by M. Gage and R.S. Hamilt...

Wehrung, Friedrich

We construct a completely normal bounded distributive lattice D in which for every pair (a, b) of elements, the set {x ∈ D | a ≤ b ∨ x} has a countable coinitial subset, such that D does not carry any binary operation - satisfying the identities x ≤ y ∨(x-y),(x-y)∧(y-x) = 0, and x-z ≤ (x-y)∨(y-z). In particular, D is not a homomorphic image of the ...

nunokawa, mamoru sokół, janusz trybucka, edyta

A function f analytic in a domain D &isin / C is called p-valent in D, if for every complex number w, the equation f ( z ) = w has at most p roots in D, so that there exists a complex number w 0 such that the equation f ( z ) = w 0 has exactly p roots in D. The aim of this paper is to establish some sufficient conditions for a function analytic in ...

awan, muhammad uzair noor, muhammad aslam mihai, marcela v. noor, khalida inayat

The main objective of this paper is to obtain certain new k-fractional estimates of Hermite&ndash / Hadamard type inequalities via s-convex functions of Breckner type essentially involving k-Appell&rsquo / s hypergeometric functions. We also present applications of the obtained results by considering particular examples.

Aytekin, Arda

Developments in communication and data storage technologies have made large-scale data collection more accessible than ever. The transformation of this data into insight or decisions typically involves solving numerical optimization problems. As the data volumes increase, the optimization problems grow so large that they can no longer be solved on ...

Horváth, K. (author) van Esch, B. (author) Vreeken, D. (author) Pothof, I.W.M. (author) Baayen, J. (author)

This study presents convex modeling of drainage pumps so that real-time control systems can be implemented to minimize their energy use. A convex model is built based on pump curves and then used in mixed-integer optimization to allow pumps to be turned on or off. It is implemented as an extension to the open source software package RTC-Tools. The ...

Asan, Noor Badariah Velander, Jacob Redzwan, Syaiful Perez, Mauricio D. Hassan, Emadeldeen Blokhuis, Taco J. Voigt, Thiemo Augustine, Robin

In recent studies, it has been found that fat tissue can be used as a microwave communication channel. In this article, the effect of thickness inhomogeneities in fat tissues on the performance of in-body microwave communication at 2.45 GHz is investigated using phantom models. We considered two models namely concave and convex geometrical fat dist...

Takáč, Zdenko
Published in
Tatra Mountains Mathematical Publications

We deal with an extension of ordered weighted averaging (OWA, for short) operators to the set of all normal convex fuzzy sets in [0, 1]. The main obstacle to achieve this goal is the non-existence of a linear order for fuzzy sets. Three ways of dealing with the lack of a linear order on some set and defining OWA operators on the set appeared in the...

Balabdaoui, Fadoua Durot, Cécile Koladjo, François

International audience