A dynamic analysis has been made of the behavior of PREAMPv sense signals in large-scale magnetic thin film memories. The timed V5 REF. COEF. effects of attenuation, distortion, cross coupling and interconnection /'AZ are superimposed on the transmitted waveforms. The computed signals can be used as a design guide to determine the length of sense lines, the number of intersecting word lines, th...

Given a compact oriented surface, we classify log Poisson bivectors whose degeneracy loci are locally modeled by a finite set of lines in the plane intersecting at a point. Further, we compute the Poisson cohomology of such structures and discuss the relationship between our classification and the second Poisson cohomology.

We consider the measure of points, the measure of lines and the measure of planes intersecting a given convex body K in a space form. We obtain some integral formulas involving the width of K and the curvature of its boundary ∂K . Also we study the special case of constant width. Moreover we obtain a generalisation of the Heintze–Karcher inequality to space forms.

In this paper we prove a conjecture of Metsch about the maximum number of lines intersecting a pointset in PG(2, q), presented at the conference ”Combinatorics 2002”. As a consequence, we give a short proof of the famous Jamison, Brouwer-Schrijver bound on the size of the smallest affine blocking set in AG(2, q).

Frankl, P. and Z. Filredi, A sharpening of Fisher’s inequality, Discrete Mathematics 90 (1991) 103-107. It is proved that in every linear space on v points and b lines the number of intersecting line-pairs is at least (z). This clearly implies b 2 v.

We say that a set A t-intersects a set B if A and B have at least t common elements. A family A of sets is said to be t-intersecting if each set in A t-intersects any other set in A. Families A1,A2, ...,Ak are said to be cross-t-intersecting if for any i and j in {1, 2, ..., k} with i 6= j, any set in Ai t-intersects any set in Aj . We prove that for any finite family F that has at least one se...