Let F be a family of subsets of an n-element set. F is called (p,q)-chain intersecting if it does not contain chains A1 ( A2 ( · · · ( Ap and B1 ( B2 ( · · · ( Bq with Ap∩Bq = ∅. The maximum size of these families is determined in this paper. Similarly to the p = q = 1 special case (intersecting families) this depends on the notion of r-complementing-chain-pair-free families, where r = p + q − ...

We show that if the set of all bounded strongly continuous cosine families on a Banach space X is treated as a metric space under the metric of the uniform convergence associated with the operator norm on the space L (X) of all bounded linear operators on X, then the isolated points of this set are precisely the scalar cosine families. By definition, a scalar cosine family is a cosine family wh...

Abstract. The moments of central values of families of L-functions have recently attracted much attention and, with the work of Keating and Snaith, there are now precise conjectures for their limiting values. We develop a simple method to establish lower bounds of the conjectured order of magnitude for several such families of L-functions. As an example we work out the case of the family of all...

Ming-Lun Hsieh constructed three-variable triple product p-adic L-functions attached to triples of primitive Hida families and proved interpolation formulas. We generalize his result in the unbalanced case construct a L-function family two more general modular forms.

Mortlock, R. P. (Michigan State University, East Lansing) and W. A. Wood. Metabolism of pentoses and pentitols by Aerobacter aerogenes. I. Demonstration of pentose isomerase, pentulokinase, and pentitol dehydrogenase enzyme families. J. Bacteriol. 88:838-844. 1964.-Aerobacter aerogenes PRL-R3 is capable of utilizing as sole substrates for energy and growth seven of the eight aldopentoses and al...

The following are notes on the talks at the Simons Symposium on Families of Automorphic Forms and the Trace Formula, held from January 26 to February 1 in Puerto Rico. All errors should be attributed solely to the typist, Steven J. Miller; these notes were TeX-ed in real time (with no effort made to go back and correct mistakes!).. See https://web.math.princeton.edu/~templier/families/ for more...

A complete understanding of different protein functional families and template information opens new avenues for novel drug development. Protein identification and analysis software performs a central role in the investigation of proteins and leads to the development of refined database for description of proteins of different Leishmania strains. There are certain databases for different strain...

For their normal living, honey bees (Apis mellifera) require proteins, carbohydrates, lipids, vitamins and minerals. It is well known that Co and vitamin B12 are two nutrients that have been reported in pollen and plants that have had positive results in bees feeding. In this respect, the aim of the study is to determine the influence of feeding of the bee families with CoSO4 as a supplement on...

Normal human plasma lipoprotein system consists of four distinct lipoprotein families referred to as LP-A,* LP-B, LP-C, and LP-D [l-4]. In the density above 1.019 g/ml, the lipoprotein families occur mainly as separate physicochemical entities [3, 51. However, in the density below 1.019 gJrn1 the lipoprotein families B and C and, if present, lipoprotein families A and D form an association comp...

In this paper we propose the creation of generic LSH families for the angular distance based on Johnson-Lindenstrauss projections. We show that feature hashing is a valid J-L projection and propose two new LSH families based on feature hashing. These new LSH families are tested on both synthetic and real datasets with very good results and a considerable performance improvement over other LSH f...