In this paper, we show that the conditional transform with respect to the Gaussian process involving the first variation can be expressed in terms of the conditional transform without the first variation. We then use this result to obtain various integration formulas involving the conditional $diamond$-product and the first variation.

generalized resolvent equations; variational inclusions; algorithm; convergence; generalized pseudocontractive mapping

introduction calcifying odontogenic cyst (coc) is an uncommon odontogenic lesion, classified in two variants: the cystic variant and neoplastic (solid) variant. case presentation this case report presents multiple coc, which involved the maxillary bone and sinus in a 30-year-old man. several of these lesions were cystic, while the others were neoplastic in type, and the lesions were removed sur...

5-Fluorouracil and 5-fluorodeoxyuridine induce DNA lesions via two different mechanisms, one involving and the other not involving the incorporation of drug into DNA. The DNA lesions are detected by lysing cells in dilute alkali and then separating the DNA in agarose gel electrophoresis. We examine here the effect of dipyridamole, a nucleoside transport inhibitor, on the DNA lesions. We find th...

in this paper, we show that the conditional transform with respect to the gaussian process involving the first variation can be expressed in terms of the conditional transform without the first variation. we then use this result to obtain various integration formulas involving the conditional $diamond$-product and the first variation.

Let $R$ be a prime ring with its Utumi ring of quotients $U$,  $C=Z(U)$ the extended centroid of $R$, $L$ a non-central Lie ideal of $R$ and $0neq a in R$. If $R$ admits a generalized derivation $F$ such that $a(F(u^2)pm F(u)^{2})=0$ for all $u in L$, then one of the following holds: begin{enumerate} item there exists $b in U$ such that $F(x)=bx$ for all $x in R$, with $ab=0$; item $F(x)=...