This paper provides a detailed description of the Polish and Ukrainian -no/-to + accusative construction, with considerable attention to how the two constructions differ and to their relevance for current morphological and syntactic theory. It is argued that Polish and Ukrainian -no/-to differ with respect to where the word-final /-no/-to/ affix is generated in the narrow syntax. A wide range o...

Transition metal-catalyzed copolymerization of CO and ethylene has a strong inherent propensity to produce the strictly alternating copolymer. In this work, nickel catalysts capable both homopolymerization are developed explore possibility non-alternating under assumption that comonomer incorporation in polymer chain can be adjusted by concentrations comonomers. Both polyketones with slightly m...

Recent experiments with combinatorial libraries of de novo proteins have demonstrated that sequences designed to contain polar and non-polar amino acid residues arranged in an alternating pattern form fibrillar structures resembling beta-amyloid. This finding prompted us to probe the distribution of alternating patterns in the sequences of natural proteins. Analysis of a database of 250,514 pro...

An ideal triangulation T of a hyperbolic 3-manifold M with one cusp is non-peripheral if no edge of T is homotopic to a curve in the boundary torus of M . For such a triangulation, the gluing and completeness equations can be solved to recover the hyperbolic structure of M . A planar projection of a knot gives four ideal cell decompositions of its complement (minus 2 balls), two of which are id...

We exhibit the first examples of links which are homologically thin but not quasi-alternating. To show that they are not quasi-alternating, we argue that none of their branched double-covers bounds a negative definite 4-manifold with non-torsion H1. Using this method, we also complete the determination of the quasi-alternating pretzel links.

Compositions are conceptualized as non alternating sequences of blocks of non-decreasing and strictly decreasing partitions. We find the generating function F (x, y, q) where x marks the size of the composition, y the number of parts and q the number of such partition blocks minus 1. We form these blocks starting on the left-hand-side of the composition and maximizing the size of each block. We...

In this article, we consider alternating knots on a closed surface in the 3-sphere, and show that these are not parallel to any closed surface disjoint from the prescribed one.