Let us consider S1, S2. We introduce S1 b S2 and S2 c S1 as synonyms of S1 is finer than S2. The following four propositions are true: (3)1 ⋃ (S1 \{ / 0}) = ⋃ S1. (4) For all partitions P1, P2 of Y such that P1 c P2 and P2 c P1 holds P2 ⊆ P1. (5) For all partitions P1, P2 of Y such that P1 c P2 and P2 c P1 holds P1 = P2. (7)2 For all partitions P1, P2 of Y such that P1 c P2 holds P1 is coarser ...

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...

Human genomes consist of pairs of homologous chromosomes, one of which is inherited from the mother and the other from the father. Species, such as human, with pairs of homologous chromosomes are called diploid. Sequence analysis literature is, however, almost solely built under the model of a single haplotype sequence representing a species. This fundamental choice is apparently due to the hug...

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...

Background: Yellow watermelon contains citrulline, which can suppress lactic acid production, while plantains contain potassium is important for muscle performance. The yellow and plantain combination juice potential to be a natural sports drink that delays fatigue by suppressing production after exercise.Objectives: To determine the effect of watermelon-plantain on in rats swimming test.Materi...

7 differentiation through aldosterone-stimulated activation of its alternative promoters. ABSTRACT 40 Mineralocorticoid receptor (MR) plays a critical role in brain function. However, the regulatory 41 mechanisms controlling neuronal MR expression that constitutes a key element of the hormonal 42 response are currently unknown. Two alternative P1 and P2 promoters drive human MR gene 43 transcri...

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