In this paper, we study the theory of pseudo knots, which are knots with some missing crossing information, and introduce tied links knotoids. particular, first present a braiding algorithm for then L-moves in that setting, use formulate sharpened version analogue Markov theorem braids. Then, links, generalize notion exploit relation between singular links. We an L-move braid equivalence monoid...

Design, synthesis, and study of a synthetic barrel-stave supramolecule with p-octiphenyl "staves," beta-sheet "hoops," and hydrophobic exterior as well as internal carboxylate clusters are reported. Ion transport experiments indicate the formation of transmembrane pores at 5 < pH < 7 with nanomolar activity. Blockage of dye efflux from spherical bilayers by external Mg(OAc)(2) and internal 8-am...

Gödel logic and its algebraic semantics, namely, the variety of Gödel algebras, play a major rôle in mathematical fuzzy logic. The category of finite Gödel algebras and their homomorphisms is dually equivalent to the category FF of finite forests and order-preserving open maps. The combinatorial nature of FF allows to reduce the usually difficult problem of computing coproducts of algebras and ...

Rod-shaped bacteria elongate by the action of cell wall synthesis complexes linked to underlying dynamic MreB filaments. To understand how the movements of these filaments relate to cell wall synthesis, we characterized the dynamics of MreB and the cell wall elongation machinery using high-precision particle tracking in Bacillus subtilis. We found that MreB and the elongation machinery moved ci...

Pseudo-Pseudo-Myocardial Infarction To the Editor: Hung and colleagues1 present a very important example of a pseudo-infarction pattern presumably related to pancreatitis, one of several clinical situations in which thrombolytic therapy is either not indicated or contraindicated. I am intrigued by the pattern of the bizarre T waves in the limb leads and wonder if part or all of this phenomenon ...

The aim of the paper is to examine contribution constructed device, props and new mobile gym children's interest in their use physical activities. Both parents pre-school teachers took part creation its equipment. They provided all necessary material needed for making following: ladders, beanbags, hula hoops, skipping ropes, cubes, mats, bowling pins, balance bar. This research included 55 chil...

The aim of this paper is to generalize the‎‎notion of pseudo-almost valuation domains to arbitrary‎ ‎commutative rings‎. ‎It is shown that the classes of chained rings‎ ‎and pseudo-valuation rings are properly contained in the class of‎ ‎pseudo-almost valuation rings; also the class of pseudo-almost‎ ‎valuation rings is properly contained in the class of quasi-local‎ ‎rings with linearly ordere...