An n×n matrix is called an N1 0 -matrix if all its principal minors are non-positive and each entry is non-positive. In this paper, we study general combinatorially symmetric partial N1 0 -matrix completion problems and prove that a combinatorially symmetric partial N1 0 -matrix with all specified offdiagonal entries negative has an N1 0 -matrix completion if the graph of its specified entries ...

In this work we investigate the complex Leibniz superalgebras with characteristic sequence (n1, . . . , nk|m) and nilindex n + m, where n = n1 + · · ·+nk, n and m (m 6= 0) are dimensions of even and odd parts, respectively. Such superalgebras with condition n1 ≥ n − 1 were classified in [4]–[5]. Here we prove that in the case n1 ≤ n − 2 the Leibniz superalgebras have nilindex less than n + m. T...

A facile three step synthesis of a group of N1,N5-bis[4-(5-alkyl-1,2,4-oxadiazol-3-yl)phenyl]glutaramides, N1,N5-bis[4-(1,2,4-oxadiazol-3-yl)phenyl]glutaramide and N1,N5-bis[4-(5-oxo-4,5-dihydro-1,2,4-oxadiazol-3-yl)phenyl]glutaramide is described. These products are designed to function as masked bis-amidine prodrugs of a promising N1,N5-bis[4-(N'-(carbamimidoyl)phenyl]glutaramide antifungal l...

The maximum of the linking number between two lattice polygons of lengths n1, n2 (with n1 ≤ n2) is proven to be of the order of n1(n2) 1 3 . This result is generalized to smooth links of unit thickness. The result also implies that the writhe of a lattice knot K of length n is at most 26 n4/3/π. In the second half of the paper examples are given to show that linking numbers of order n1(n2) 1 3 ...

Adenosine (Ado) can accept three protons, at N1, N3, and N7, to give H(3) (Ado)(3+) , and thus has three macro acidity constants. Unfortunately, these constants do not reflect the real basicity of the N sites due to internal repulsions, for example, between (N1)H(+) and (N7)H(+). However, these macroconstants are still needed for the evaluations and the first two are taken from our own earlier ...

Let N , N1 and N2 be point processes such that N1 is obtained from N by homogeneous independent thinning and N2 = N −N1. We give a new elementary proof that N1 and N2 are independent if and only if N is a Poisson point process. We also present an application of this result to test if a homogeneous point process is a Poisson point process.

Verifiable criteria are established for the existence of positive periodic solutions and permanence of a delayed discrete periodic predator-prey model with Holling-type II functional response N1(k + 1) = N1(k)exp{b1(k)− a1(k)N1(k− [τ1])− α1(k)N2(k)/(N1(k) + m(k)N2(k))} and N2(k + 1) = N2(k)exp{−b2(k) + α2(k)N1(k − [τ2])/(N1(k − [τ2]) + m(k)N2(k− [τ2]))}. Our results show that the delays in the ...

We investigate the defining ideal IX of a set of points X in P n1 × · · · × Pk with a special emphasis on the case that X is in generic position, that is, X has the maximal Hilbert function. When X is in generic position, we determine the degrees of the generators of the associated ideal IX. Letting ν(IX) denote the minimal number of generators of IX, we use this description of the degrees to c...