Roman dominating function} on a digraph $D$ with vertex set $V(D)$ is a labeling$fcolon V(D)to {0, 1, 2}$such that every vertex with label $0$ has an in-neighbor with label $2$. A set ${f_1,f_2,ldots,f_d}$ ofRoman dominating functions on $D$ with the property that $sum_{i=1}^d f_i(v)le 2$ for each $vin V(D)$,is called a {em Roman dominating family} (of functions) on $D$....

During the Pahlavi era, Iran's widespread developments influenced by the industrial revolution led to a lot of changes in family structure and by changing the function of family and the roles and relations of family members, paved the way for a change in the houses' spatial organization. Therefore, the main question addressed in this study is: “"What changes are brought about in the space organ...

Background: In the present study, the relation between a polymorphic marker within the OXTR gene (rs53576) and gazing behavior during two separate social interaction tasks was examined. Gazing behavior was considered to be an integral part of belonging regulation processes. Methods: We conducted an observational interaction study (N = 116; 58 dyads) in a naturalistic setting. Participants were ...

in this paper, we introduce a family of fractional-order chebyshev functions based on the classical chebyshev polynomials. we calculate and derive the operational matrix of derivative of fractional order $gamma$ in the caputo sense using the fractional-order chebyshev functions. this matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...