Quasielastic neutron scattering, x-ray diffraction measurements, and fully atomistic molecular dynamics simulations have been performed on poly(vinylpyrrolidone) homopolymer above its glass transition temperature. A "prepeak" appears in the x-ray diffraction pattern that shows the typical features of a first amorphous halo. From an effective description of the experimentally accessed incoherent...

In this paper we initiate a systematic study of the Turán problem for edge-ordered graphs. A simple graph is called if its edges are linearly ordered. This notion allows us to graphs (and in particular their maximum number edges) when subgraph forbidden with specific edge-order but same underlying may appear different edge-order. We prove an Erd?s-Stone-Simonovits-type theorem graphs—we identif...

Given fields k ? L , our results concern one parameter L-parametric polynomials over and their relation to generic polynomials. The former are P ( T Y ) ? [ ] of group G which parametrize all Galois extensions via specialization in the latter those -parametric for every field ? . We show, example, that being with taken be single C V U is fact sufficient a polynomial generic. As corollary, we ob...

OBJECTIVE Our objective is to exploit architectural constraint for the analysis and interpretation of craniofacial form, which we apply here to the reconstruction of the early Homo cranium KNM-ER 1470. We are motivated to perform this study because in the absence of biological criteria our preconceptions are likely to govern our concept of craniofacial form. STUDY DESIGN We reassembled the fr...

A 0-1 matrix A is said to avoid a forbidden 0-1 matrix (or pattern) P if no submatrix of A matches P , where a 0 in P matches either 0 or 1 in A. The theory of forbidden matrices subsumes many extremal problems in combinatorics and graph theory such as bounding the length of Davenport-Schinzel sequences and their generalizations, Stanley and Wilf’s permutation avoidance problem, and Turán-type ...