This paper is about two arrangements of hyperplanes. The first — the Shi arrangement — was introduced by Jian-Yi Shi to describe the Kazhdan-Lusztig cells in the affine Weyl group of type A. The second — the Ish arrangement — was recently defined by the first author who used the two arrangements together to give a new interpretation of the q, t-Catalan numbers of Garsia and Haiman. In the prese...

Multiple core-sheath flowwas realized usingmatrix arrangement of 3D sheath flows.The sheath flowwas hydrodynamically formed in a flow shift area which has symmetrical microgrooves on channel walls. Vertical and horizontal alignments of the sample streams are a key element of matrix configuration. The flow shift areas were connected in parallel to achieve horizontal alignment of the sheath flow....

1. No connection can be demonstrated between grouping of non-hemolytic streptococci based upon fermentation reactions, and grouping based upon immunological reactions. 2. A classification of non-hemolytic streptococci can be effected by studying the complement fixation reactions between the streptococci and their antisera. 3. The arrangement of the streptococci in such a classification depends ...

We think about the vitality effective scope and availability issue in remote sensor systems (WSNs). We attempt to find heterogeneous sensors and course information produced to a base station fewer than two clashing goals: minimization of system expense and augmentation of system lifetime. We go for fulfilling availability and scope necessities and sensor hub and connection limit imperatives. We...

Let Q ∈ C[x1, . . . , xn] be a homogeneous polynomial of degree k > 0. We establish a connection between the Bernstein-Sato polynomial bQ(s) and the degrees of the generators for the top cohomology of the associated Milnor fiber. In particular, the integer uQ = max{i ∈ Z : bQ(−(i+n)/k) = 0} bounds the top degree (as differential form) of the elements in H DR (Q(1), C). The link is provided by t...

On-line coupling of an automated flow system with a commercially available capillary electrophoresis (CE) system with an electrospray interface (ESI) for mass spectroscopic (MS) detection is described. The peculiarities of CE-ESI-MS interfaces, in which a high electrical field must be applied to the capillary end where the sample is provided by the flow system, introduce significant difficultie...

This paper describes a crossing design for determining the arrangement of the X and 4 chromosomes in Drosophila americana. Implementation of this crossing design in a teaching laboratory with undergraduate or advanced placement students provides a clear demonstration of sex-linked vs. autosomal inheritance and the connection between linkage relationship and chromosomal arrangement. Analyses can...

Our object of study is an abelianization of the Sn permutation action on R n that is provided by a particular De Concini-Procesi wonderful model for the braid arrangement. Our motivation comes from an analogous construction for finite group actions on complex manifolds, due to Batyrev [B1, B2], and subsequent study of Borisov & Gunnells [BG], where the connection of such abelianizations with De...

For most algorithms dealing with sets of points in the plane, the only relevant information carried by the input is the combinatorial configuration of the points: the orientation of each triple of points in the set (clockwise, counterclockwise, or collinear). This information is called the order type of the point set. In the dual, realizable order types and abstract order types are combinatoria...