For simplicity, we use the following convention: Y is a non empty set, P1, P2 are partitions of Y , A, B are subsets of Y , i is a natural number, x, y, x1, x2, z0 are sets, and X, V , d, t, S1, S2 are sets. The following proposition is true (1) If X ∈ P1 and V ∈ P1 and X ⊆ V, then X = V. Let us consider S1, S2. We introduce S1 ⋐ S2 and S2 ⋑ S1 as synonyms of S1 is finer than S2. We now state s...

the biological effects of omega-3 and omega-6 fatty acids are determined by their mutual interactions. this interaction extremely affects various functions. lower consumption of omega-3 during gestation leads to various disorders, even in hearing. we aimed to assess the effect of low omega-3/omega-6 ratios on auditory nerve conduction. in this experimental study, the auditory brainstem response...

We explore explicit virtual resolutions, as introduced by Berkesch, Erman, and Smith, for ideals of finite sets points in P1×P1. Specifically, we describe a resolution sufficiently general set X P1×P1 that only depends on |X|. also improve an existence result Smith the special case P1×P1; more precisely, give effective bound their construction gives length two any

To gain a broader understanding of the importance of a surface-associated lifestyle and morphogenic capability, we have assembled and annotated the genome sequences of Pseudoalteromonas strains P1-7a, P1-9, P1-13-1a, P1-16-1b, P1-25, and P1-26, isolated from Hydractinia echinata. These genomes will allow detailed studies on bacterial factors mediating interkingdom communication.

Kallistatin is a serpin with a unique P1 Phe, which confers an excellent inhibitory specificity toward tissue kallikrein. In this study, we investigated the P3-P2-P1 residues (residues 386-388) of human kallistatin in determining inhibitory specificity toward human tissue kallikrein by site-directed mutagenesis and molecular modeling. Human kallistatin mutants with 19 different amino acid subst...

We use toric symmetry and blowups to study relationships in the Gromov– Witten theories of P3 and P1×P1×P1. These two spaces are birationally equivalent via the common blowup space, the permutohedral variety. We prove an equivalence of certain invariants on blowups at only points of P3 and P1×P1×P1 by showing that these invariants descend from the blowup. Further, the permutohedral variety has ...

The following propositions are true: (1) For every natural number i1 such that 1 ¬ i1 holds i1 − ′ 1 < i1. (2) For all natural numbers i, k such that i + 1 ¬ k holds 1 ¬ k − i. (3) For all natural numbers i, k such that 1 ¬ i and 1 ¬ k holds k−i+1 ¬ k. (4) For every real number r such that r ∈ the carrier of I holds 1 − r ∈ the carrier of I. (5) For all points p, q, p1 of E 2 T such that p2 6= ...