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

s lemmas.

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...

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

s hypergeometric functions. We also present applications of the obtained results by considering particular examples.

Aytekin, Arda

QC 20190311

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

Support Process and Energy

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...

Fradelizi, Matthieu Madiman, Mokshay Marsiglietti, Arnaud Zvavitch, Artem

Let us define for a compact set A ⊂ R n the sequence A(k) = a 1 + · · · + a k k : a 1 ,. .. , a k ∈ A = 1 k A + · · · + A k times. By a theorem of Shapley, Folkman and Starr (1969), A(k) approaches the convex hull of A in Hausdorff distance as k goes to ∞. Bobkov, Madiman and Wang (2011) conjectured that Vol n (A(k)) is non-decreasing in k, where V...

Hinkkanen, Aimo Suwannaphichat, Sineenuch
Published in
Journal of Inequalities and Applications

We consider the extremal problem of maximizing functions u in the class of real-valued biconvex functions satisfying a boundary condition ψ on a product of the unit ball with itself, with the ℓp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}...

Auenmüller, Christoph

The focus of the present master thesis is the automation of an existing controllerdesign for a missile using two aerodynamic actuating systems. The motivation isto evaluate more missile concepts in a shorter period of time.The option used is trimming and linearization of a highly nonlinear missile at specic conditions. According to these conditions...