Let  $R$ be a commutative Noetherian ring and $I$ be an ideal of $R$. We say that $I$ satisfies the persistence property if  $mathrm{Ass}_R(R/I^k)subseteq mathrm{Ass}_R(R/I^{k+1})$ for all positive integers $kgeq 1$, which $mathrm{Ass}_R(R/I)$ denotes the set of associated prime ideals of $I$. In this paper, we introduce a class of square-free monomial ideals in the polynomial ring  $R=K[x_1,ld...

Persistence middleware enabling objects to be persistent in persistence mechanisms have emerged in this rapidly evolving software market. However, problems prevail in terms of non-uniformity for programmers in making use of functions of the persistence service interface provided by these middleware in their programs for object persistence in a target persistent store. This stems from the issue ...

today, the discussion of regularity monetary policy in achieving inflation and output gap stabilization is important. in this paper, we investigated the persistence of the output gap in iran economy and then by using a hybrid new keynesian model based on quarterly data for 1990:1- 2011:3. we compared three alternative instrumental rules in monetary policy for iran economy. the results indicated...

Objective(s) Primary or adult type hypolactasia, the most common enzyme deficiency in the world, is due to reduced lactase activity in the intestinal cell after weaning. Lactase non-persistence is inherited as an autosomal recessive trait. A DNA variant, single nucleotide polymorphism C/T−13910 which is located on 13910 base pairs (bp) upstream of the lactase gene (LCT) at chromosome 2 has been...

Persistence and extinction of a randomized non-autonomous logistic equation is studied. Sufficient conditions for extinction, non-persistence in the mean, weak persistence and stochastic permanence are established. The critical number between weak persistence and extinction is obtained.

Next, persistence through time. I take the view that nothing endures identically through time. (Except universals, if such there be; their loci would coincide with relations of qualitative match, would indeed constitute these relations, so they would commit no violations of Humean Supervenience.) Persisting particulars consist of temporal parts, united by various kinds of continuity. To the ext...

We revisit the problem of local persistence in directed percolation, reporting improved estimates of the persistence exponent in 1+1 dimensions, discovering strong corrections to scaling in higher dimensions, and investigating the mean field limit. Moreover, we introduce a graded persistence probability that a site does not flip more than n times and demonstrate how local persistence can be stu...