Given a basis of pseudoidentities for a pseudovariety of ordered semigroups containing the 5-element aperiodic Brandt semigroup B2, under the natural order, it is shown that the same basis, over the most general graph over which it can be read, defines the global. This is used to show that the global of the level 3/2 of the refinement of Straubing-Thérien’s concatenation hierarchy introduced by...

Contractions induced by TAME-esterase on rat aorta strips mounted in vitro were significantly inhibited in presence of Vitamin C. The work lends support to the role of ascorbic acid in preventing endothelial dysfunction through release of nitric oxide. It is suggested that conclusions TAME-esterase could be an important biological marker associated with onset of vascular discases such as hypert...

We construct an algorithmwhich computes the catenary and tame degree of a numerical semigroup. As an example we explicitly calculate the catenary and tame degree of numerical semigroups generated by arithmetical sequences in terms of their first element, the number of elements in the sequence and the difference between two consecutive elements of the sequence.

We explore relationships between the family of successively weaker almost convexity conditions, and successively weaker tame combing conditions. We show that both Thompson’s group F and the Baumslag-Solitar groups BS(1, p) with p ≥ 3 admit a tame combing with a linear radial tameness function. By earlier work of Belk and Bux showing that F is not minimally almost convex, and of Elder and Hermil...

This paper is concerned with the structure of semigroups of implicit operations on the pseudovariety LSl of finite locally idempotent and locally commutative semigroups. We depart from a general result of Almeida and Weil to give two descriptions of these semigroups: the first in terms of infinite words, and the second in terms of infinite and bi-infinite words. We then derive some applications...

We give several versions of local and global inverse mapping theorem for tame non necessarily smooth, mappings. Here tame mapping means a mapping which is subanalytic or, more generally, definable in some o-minimal structure. Our sufficient conditions are formulated in terms of various properties (convexity, positivity of some principal minors, contractiblity) of the space of Jacobi’s matrices ...

We show that every tempered distribution, which is a solution of the (homogenous) Klein-Gordon equation, admits a “tame” restriction to the characteristic (hyper)surface {x0 + x = 0} in (1 + n)-dimensional Minkowski space and is uniquely determined by this restriction. The restriction belongs to the space S′ ∂ − (R) which we have introduced in [16]. Moreover, we show that every element of S′ ∂ ...

We show that the fundamental group of the complement of any irreducible tame torus sextics in P is isomorphic to Z2 ∗ Z3 except one class. The exceptional class has the configuration of the singularities {C3,9, 3A2} and the fundamental group is bigger than Z2 ∗ Z3. In fact, the Alexander polynomial is given by (t 2 − t + 1). For the proof, we first reduce the assertion to maximal curves and the...

A n n-dzmensaonal crossed cube, CQn, zs a varzataon of hypercubes. In thzs paper, we gave a new shortest path routzng algorzthm based on a new dastance measure defined herean. In comparzson wath Efe's algorzthm whzch generates one shortest path an O(n2) tame, our algorathm can generate more shortest paths zn O(n) tame. Furthermore, we show that CQn zs a pancyclzc network and we construct varaou...

A Weyl structure on a compact conformal manifold is not complete in general. If, however, the life-time of incomplete geodesics can be controlled on compact subsets of the tangent bundle, the Weyl connection is called tame. We prove that every closed, non-exact, tame Weyl structure on a compact conformal manifold is either flat, or has irreducible holonomy, generalizing an analogous statement f...