In a graph G = (V, E), a set D ⊂ V is a weak convex dominating(WCD) set if each vertex of V-D is adjacent to at least one vertex in D and d < D > (u, v) = d G (u, v) for any two vertices u, v in D. A weak convex dominating set D, whose induced graph < D > has no cycle is called acyclic weak convex dominating(AWCD) set. The domination number γ ac (G) is the smallest order of a acyclic weak conve...

In this paper, we study a generalization of z-ideals in the ring C(X) of continuous real valued functions on a completely regular Hausdorff space X. The notion of a weak ideal and naturally a weak z-ideal and a prime weak ideal are introduced and it turns out that they behave such as z-ideals in C(X).

Abstract Top‐down mass spectrometry (TD‐MS) provides unique information on compositions, structures, and functions of proteins or protein complexes has been recognized as a powerful approach to complement conventional tools in analysis. Employing microfluidic chips TD‐MS workflows offers advantages including flexible integration automation multiple sample treatment functions, lowered consumptio...

A Lagrangian subspace L of a weak symplectic vector space is called split if it has an isotropic (hence Lagrangian) complement. When the structure strong, sufficient for to have closed complement, which can then be moved become isotropic. The purpose this note develop theory compositions and reductions canonical relations spaces. We give conditions on coisotropic C V imply that induced relation...

Advancing Diploid Potato through Selfing Most diploid potato plants are self-incompatible and will not set fruit on seling, making the development of inbred lines dificult or impossible. Peterson et al. found self-fertile plants segregating within an F1 potato population then used a whole genome scan to observe the approach to homozygosity after three generations of seling. Many unfruitful and ...

This study aims to show that four maps in a b-metric space satisfy pairwise weak compatibility have common fixed points under certain conditions. In the main results of this paper, (CLR) property is employed, and for weakly compatible mappings are established. All our findings backed up by befitting examples. Our generalize extend previous literature.

Non-statistical weak measurements yield weak values that are outside the range of eigenvalues and are not rare, suggesting that weak values are a property of every preand-post-selected ensemble. They also extend the applicability and valid regime of weak values.

background: focal segmental glomerulosclerosis (fsgs) is a type of nephrotic syndrome which is diagnosed by renal biopsy. degree of the proteinuria, renal dysfunction, histologic findings and the response to therapy are some factors used for evaluating the prognosis of fsgs. objectives: in the present study, we attempted to discover some protein candidates for disease prognosis related to glome...

We introduce counter-cryptanalysis as a new paradigm for strengthening weak cryptographic primitives against cryptanalytic attacks. Redesigning a weak primitive to more strongly resist cryptanalytic techniques will unavoidably break backwards compatibility. Instead, countercryptanalysis exploits unavoidable anomalies introduced by cryptanalytic attacks to detect and block cryptanalytic attacks ...