We investigate in detail relationships between the set B of all infinite “biconvex” sets in the positive root system ∆+ of an arbitrary untwisted affine Lie algebra g and the set W of all infinite “reduced word” of the Weyl group of g. The study is applied to the classification of “convex orders” on ∆+ (cf. [Ito]), which are indispensable to construct “convex bases” of PoincaréBirkhoff-Witt typ...

A patient with W-P-W syndrome (type A) and disabling supraventricular tachycardia was studied with epicardial mapping prior to surgical interruption of the circus pathway. Analysis of the delta vector and results of the epicardial mapping strongly suggested aberrant pathway located very posteriorly and crossing the atrioventricular sulcus in or adjacent to the interventricular septum. A circus ...

1. In previous papers [2; 3], the problem of proving an existence theorem for a certain functional equation was reduced to that of computing the topological degree of a mapping in Euclidean w-space defined by homogeneous polynomials or infinite series. The complex case of the latter problem was solved in [4]. Since the problem is analogous to that of studying the roots of a polynomial equation,...

Absfrucl-In this paper, a new technique, the multiple ripple propagation technique, is presented for mapping an h x w grid into a w x h grid such that the dilation cost is 2, i.e., such that any two neighboring nodes in the first grid are mapped onto two nodes in the second grid that are separated by a distance of at most 2. This technique is then used as a basic tool for mapping any rectangula...

Aerosol particulates collected on filters from ballistic penetration and erosion events for W-Ni-Co and W-Ni-Fe kinetic energy rod projectiles penetrating steel target plates were observed to be highly cytotoxic to human epithelial A549 lung cells in culture after 48 hours of exposure. The aerosol consisted of micron-sized Fe particulates and nanoparticulate aggregates consisting of W, Ni or W,...

Let V and W be n-dimensional vector spaces over GF (2). A mapping Q : V →W is called crooked if it satisfies the following three properties: Q(0) = 0; Q(x) +Q(y) +Q(z) +Q(x+ y + z) 6= 0 for any three distinct x, y, z; Q(x) +Q(y) +Q(z) +Q(x+ a) +Q(y + a) +Q(z + a) 6= 0 if a 6= 0 (x, y, z arbitrary). We show that every crooked function gives rise to a distance regular graph of diameter 3 having λ...

A patient with W-P-W syndrome (type A) and disabling supraventricular tachycardia was studied with epicardial mapping prior to surgical interruption of the circus pathway. Analysis of the delta vector and results of the epicardial mapping strongly suggested aberrant pathway located very posteriorly and crossing the atrioventricular sulcus in or adjacent to the interventricular septum. A circus ...

1. The purpose of this note is to describe the extension of the almost everywhere convergence of Poisson integrals to the case of the bounded symmetric domains of Cartan. It is useful to realize such a bounded symmetric domain D as a generalized upper half-plane (i.e., a Siegel domain of type II), and this is done as follows. Let V1 and V2 be two finite-dimensional vector spaces over C. Assume ...

Word W is said to encounter word V provided there is a homomorphism φ mapping letters to nonempty words so that φ(V) is a substring of W. For example, taking φ such that φ(h) = c and φ(u) = ien, we see that " science " encounters " huh " since cienc = φ(huh). The density of V in W , δ(V, W), is the proportion of substrings of W that are homomorphic images of V. So the density of " huh " in " sc...