U.S. PATENT DOCUMENTS 5,012,052 A 4/1991 Hayes 5,338,930 A 8/1994 Chu et al. 5,965,884 A 10/1999 Laiko et al. 6,495,824 B1 12/2002 Atkinson 6,531,318 B1 3/2003 Palmer-Toy et al. 6,548,263 B1 4/2003 Kapur et a1. 6,558,946 B1 5/2003 Krishnamurthy 6,656,690 B2 12/2003 Crooke et al. 6,744,046 B2 6/2004 Valaskovic et a1. 6,941,033 B2 9/2005 Taylor et a1. 6,949,741 B2 9/2005 Cody et a1. 6,989,528 B2 ...

In addition to A1 in the crystal lattice of clay minerals, A1 in soils can be divided into two major groups viz., exchangeable and non-exchangeable. The A1 equilibrium in soils is controlled by the solubility of the solid phase A1 compounds on the one hand and the adsorption characteristics of the adsorption phase on the other. Thus for a given soil the amount of exchangeable A1 will depend on ...

For finite subsets A1, . . . , An of a field, their sumset is given by {a1+ · · ·+an : a1 ∈ A1, . . . , an ∈ An}. In this paper we study various restricted sumsets of A1, . . . , An with restrictions of the following forms: ai − aj 6∈ Sij , or αiai 6= αjaj , or ai + bi 6≡ aj + bj (mod mij). Furthermore, we gain an insight into relations among recent results on this area obtained in quite differ...

The mixed discriminant of an n-tuple of n×n matrices A1, . . . , An is defined as D(A1, A2, . . . , An) = 1 n! ∑ σ∈S(n) det(A (1) σ(1), A (2) σ(2), . . . , A (n) σ(n)), where A denotes the ith column of the matrix A and S(n) denotes the group of permutations of 1, 2, . . . , n. For n matrices A1, ..., An and indeterminates λ1, . . . , λn, set Φλ1,...,λn(A1, ..., An) = D(λ1I −A1, ..., λnI −An). ...

Let a1, . . . , ar be positive integers, m = ∑r i=1(ai−1)+1 and p = max{a1, . . . , ar}. For a graph G the symbol G → {a1, . . . , ar} denotes that in every r-coloring of the vertices of G there exists a monochromatic ai-clique of color i for some i = 1, . . . , r. The vertex Folkman numbers F (a1, . . . , ar; m − 1) = min{|V (G)| : G → (a1 . . . ar) and Km−1 6⊆ G} are considered. We prove that...

INTRODUCTION Annexin A1 (ANXA1) is an anti-inflammatory protein reported to play a role in cell proliferation and apoptosis, and to be deregulated in breast cancer. The exact role of annexin A1 in the biology of breast cancer remains unclear. We hypothesized that the annexin A1 plays an oncogenic role in basal subtype of breast cancer by modulating key growth pathway(s). METHODS By mining the...

In the present study, we investigated the ability of an immobilized phospholipase A1 (PLA1) in degumming of soybean oil. The enzyme was immobilized by simple adsorption on bentonite without any further modification. The free and immobilized PLA1 were characterized by Fourier Transform InfraRed (FT-IR) spectroscopy and X-Ray Diffraction (XRD). The immobilizat...