let  be a banach algebra. let  be linear mappings on . first we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple banach algebras, in certain case. afterwards we define a new vocabulary called “-higher double derivation” and present a relation between this subject and derivations and finally give some ...

‎an  oriented perfect path double cover (oppdc) of a‎ ‎graph $g$ is a collection of directed paths in the symmetric‎ ‎orientation $g_s$ of‎ ‎$g$ such that‎ ‎each arc‎ ‎of $g_s$ lies in exactly one of the paths and each‎ ‎vertex of $g$ appears just once as a beginning and just once as an‎ ‎end of a path‎. ‎maxov{'a} and ne{v{s}}et{v{r}}il (discrete‎ ‎math‎. ‎276 (2004) 287-294) conjectured that ...

let g be a graph with p vertices and q edges and a = {0, 1, 2, . . . , [q/2]}. a vertex labeling f : v (g) → a induces an edge labeling f∗ defined by f∗(uv) = f(u) + f(v) for all edges uv. for a ∈ a, let vf (a) be the number of vertices v with f(v) = a. a graph g is said to be vertex equitable if there exists a vertex labeling f such that for all a and b in a, |vf (a) − vf (b)| ≤ 1 and the in...

congenital double lip anomaly is an infrequent developmental abnormality affecting the lips, more commonly the upper lip. 5 cases of double lip are being reported for the first time from iran and all confined to the upper lip. a new surgical excision is being introduced which is called transverse cupid bow-like elliptical incision. the previous traditional method was a simple elliptical excisio...

auctions have been as a competitive method of buying and selling valuable or rare items for a long time. single-sided auctions in which participants negotiate on a single attribute (e.g. price) are very popular. double auctions and negotiation on multiple attributes create more advantages compared to single-sided and single-attribute auctions. nonetheless, this adds the complexity of the auctio...

conclusion this study shows no significant improvement in the cancer detection rate by double reading; however, a lower recall rate could be a more helpful consequence. results readers had consensus on bi-rads categories in 459 breasts (71%), but diverse categories were used for 183 breasts (29%), including 132 significant and 51 non-significant discrepancies. according to weighted kappa test, ...

abstract background and aims. the aim of this study was to evalute the effect of double pedicle graft (dpg) with and without plasma rich in growth factor (prgf) in the treatment of miller's cl i and ii gingival recessions. materials and methods. thirty two bilateral buccal gingival miller’s cl i and ii recessions were selected. sixteen of the recessions were treated with dpg and prgf (test grou...