Let S, T be semilattices. Let us assume that if S is upper-bounded, then T is upper-bounded. A map from S into T is said to be a semilattice morphism from S into T if: (Def. 1) For every finite subset X of S holds it preserves inf of X . Let S, T be semilattices. Observe that every map from S into T which is meet-preserving is also monotone. Let S be a semilattice and let T be an upper-bounded ...

Assuming the Gowers Inverse conjecture and the Möbius conjecture for the finite parameter s, Green-Tao verified Dickson’s conjecture for lattices which are ranges of linear maps of complexity at most s. In this paper, we reformulate GreenTao’s theorem on Dickson’s conjecture, and prove that, if L is the range of a linear map of complexity s, and L1 is a sublattice of L of finite index, then L1 ...

provide the notation and terminology for this paper. 1. POSET RETRACTS One can prove the following propositions: (1) For all binary relations a, b holds a · b = a b. (2) Let X be a set, L be a non empty relational structure, S be a non empty relational substruc-ture of L, f , g be functions from X into the carrier of S, and f , g be functions from X into the carrier of L. If f = f and g = g and...

The Multidimensional Assignment Problem (MAP) (abbreviated sAP in the case of s dimensions) is an extension of the well-known assignment problem. The most studied case of MAP is 3-AP, though the problems with larger values of s have also a number of applications. In this paper we propose several local search heuristics for MAP and select the dominating ones. The results of computational experim...

Let C r ((0; 1]) denote the metric space of C r self-maps of 0; 1] and C s;r ((0; 1]) denote the metric space of C s families of maps in C r ((0; 1]) with the parameter space 0; 1]. Let Hs;r be the unimodal families with non-constant topological entropy in C s;r ((0; 1]). We show that for s 0, r 2, there is an open and dense subset Gs;r of Hs;r such that each family in Gs;r has a map with a hom...

To assess whether brain ouabain-like activity (OLA) mediates the hypertensive effects of high sodium intake in Dahl salt-sensitive (Dahl S) rats, the effects of blockade of brain OLA on mean arterial pressure (MAP) and renal sympathetic nerve activity (RSNA) were evaluated in conscious Dahl salt-resistant (Dahl R) and Dahl S rats on a regular (120 mumol/g) or high sodium (1370 mumol/g) diet fro...

The S-Map is a network with a simple learning algorithm that combines the self-organization capability of the Self-Organizing Map (SOM) and the probabilistic interpretability of the Generative Topographic Mapping (GTM). The simulations suggest that the SMap algorithm has a stronger tendency to self-organize from random initial configuration than the GTM. The S-Map algorithm can be further simpl...

Let R be a Dedekind domain, G an affine flat R-group scheme, and B a flat R-algebra on which G acts. Let A → BG be an R-algebra map. Assume that A is Noetherian. We show that if the induced map K ⊗ A → (K ⊗ B)K⊗G is an isomorphism for any algebraically closed field K which is an R-algebra, then S ⊗A→ (S ⊗B)S⊗G is an isomorphism for any R-algebra S.

Although cerebral autoregulation (CA) appears well maintained during mild to moderate intensity dynamic exercise in young subjects, it is presently unclear how aging influences the regulation of cerebral blood flow during physical activity. Therefore, to address this question, middle cerebral artery blood velocity (MCAV), mean arterial pressure (MAP), and the partial pressure of arterial carbon...

A Sfi I restriction map of the fission yeast Schizosaccharomyces pombe genome was aligned with the Not I restriction map. There are 16 Sfi I sites in the S. pombe genome. Three Sfi I sites are on chromosome III which is devoid of Not I sites. The sizes of the entire genome and individual chromosomes, calculated from the Sfi I fragment sizes, are consistent with that calculated from the Not I fr...