There are some experiences that researcher come across quite number of time for very large networks in the initial samples such that they cannot finish the sampling procedure. Two solutions have been proposed and used by marine biologists which we discuss in this article: i) Adaptive cluster sampling based on order statistics with a stopping rule, ii) Restricted adaptive cluster sampling. Until...

Watermelon (Citrullus lanatus, Cucurbitaceae) is cultivated in various parts of Iran, especially the provinces Fars, Hormozgan, Kerman, Khuzistan and Hamadan. Iran world's third-largest producer watermelon globally (Food Agriculture Organization United Nations, 2016). In a 2021 survey, witches’ broom disease (WBDW) was observed field Darab area (Fars province, Iran). The main symptoms were stem...

let $g$ be a finite $p$-soluble group‎, ‎and $p$ a sylow $p$-sub-group of $g$‎. ‎it is proved‎ ‎that if all elements of $p$ of order $p$ (or of order ${}leq 4$ for $p=2$) are‎ ‎contained in the $k$-th term of the upper central series of $p$‎, ‎then the $p$-length of‎ ‎$g$ is at most $2m+1$‎, ‎where $m$ is the greatest integer such that‎ $p^m-p^{m-1}leq k$‎, ‎and the exponent of the image of $p$...

Let K be a totally real number field and consider Fermat-type equation A p + B b q = C c r $Aa^p+Bb^q=Cc^r$ over K. We call the triple of exponents ( , ) $(p,q,r)$ signature equation. prove various results concerning solutions to Fermat with 2 $(p,p,2)$ 3 $(p,p,3)$ using method involving modularity, level lowering image inertia comparison. These generalize extend recent work I?ik, Kara Özman. F...

Let G be a (di)graph and S a set of vertices of G. We say S resolves two vertices u and v of G if d(u, S) 6= d(v, S). A partition Π = {P1, P2, . . . , Pk} of V (G) is a resolving partition of G if every two vertices of G are resolved by Pi for some i (1 ≤ i ≤ k). The smallest cardinality of a resolving partition of G, denoted by pd(G), is called the partition dimension of G. A vertex r of G res...

We present a model in which the breackdown of conformal symmetry of a quantum stress-tensor due to the trace anomaly is related to a cosmological effect in a gravitational model. This is done by characterizing the traceless part of the quantum stress-tensor in terms of the stress-tensor of a conformal invariant classical scalar field. We introduce a conformal frame in which the anomalous trace ...