Let L be a disjoint union of nontrivial paths. Such a graph we call a linear forest. We study the relation between the 2-local Ramsey number R2-loc(L) and the Ramsey number R(L), where L is a linear forest. L will be called an (n, j)-linear forest if L has n vertices and j maximal paths having an odd number of vertices. If L is an (n, j)-linear forest, then R2-loc(L) = (3n − j)/2 + dj/2e −

‎in this paper first we define the morphism between geometric spaces in two different types‎. ‎we construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories‎, ‎for instance $uu$ is topological‎. ‎the relation between hypergroups and geometric spaces is studied‎. ‎by constructing the category $qh$ of $h_{v}$-groups we answer the question...

We call a lattice L isoform, if for any congruence relation Θ of L, all congruence classes of Θ are isomorphic sublattices. We prove that for every finite distributive lattice D, there exists a finite isoform lattice L such that the congruence lattice of L is isomorphic to D.

In this paper, we characterize the classes (L,Lk) , (Lk,L) and (L∞,Lk) 1 ≤ k < ∞, of all four dimensional infinite matrices, where Lk L∞ are spaces absolutely k-summable bounded double sequences, respectively. Using them, establish some relations between N, pn, qn p′ n, q′n summability methods which extend results Bosanquet (1950), Sarıg¨ol (1993), Bor (1995), Sunouchi (1949) to methods, giv...

We investigate formation processes and physical properties of globular cluster systems (GCSs) in galaxies based on high-resolution cosmological simulations with globular clusters. We focus on metal-poor clusters (MPCs) and correlations with their host galaxies by assuming that MPC formation is truncated at a high redshift (ztrun ≥ 6). We find that the correlation between mean metallicities (Zgc...

L+H* is claimed to evoke contrast between discourse entities in English. To test whether this prominent accent projects a contrastive relation for the discourse foreground, spontaneous continuations of short stories were examined. For both subject and object positions, participants mentioned contrastive alternatives more often when the corresponding discourse entity was introduced with L+H* in ...

Here we study the principal left k-radicals of a semiring with semilattice additive reduct and characterize semirings which are disjoint union via −→ transitive closure l ∞ relation −→l on S, given by for a, b ∈ ⇔ bn Sa some n N.

Aquatic plants are known to accumulate heavy metals. In this study, Duckweed plants (Lemna polyrrhiza L.) were exposed to different concentrations of Cd and Pb. Various physio-biochemical parameters (fresh weight, chlorophyll content, soluble protein, soluble sugars, proline content and metal absorption) were studied. At lower metal concentrations, an increase in proline, protein and sugar was ...