This paper aims to design a generalized cylinder with geodesic base curve according the Darboux frame in Euclidean 3-space. A is special ruled surface that constructed by continuous fixed motion of generator line called ruling along given curve. The necessary and sufficient conditions for be are studied. main results show an osculating whose helical geodesic, rulings directed unit vector.

Abstract. Certain facts about frames and generalized frames (g- frames) are extended for the g-frames for Hilbert C*-modules. It is shown that g-frames for Hilbert C*-modules share several useful properties with those for Hilbert spaces. The paper also character- izes the operators which preserve the class of g-frames for Hilbert C*-modules. Moreover, a necessary and suffcient condition is ob- ...

Frame imperfection, non-response and unequal selection probabilities always affect survey results. In order to compensate for the effects of these problems, Devill and Särndal (1992) introduced a family of estimators called calibration estimators. In these estimators we look for weights that have minimum distance with design weights based on a distance function and satisfy calibration equa...

In ATN sentences and its constituents are generalized. Special signs are introduced to define categories of words and their parameters. ATN is expedient for the frame analysis system, the result of which can be transited as frame transformations based on both cause-and-consequence relations and the fields of concepts. A frame system can be presented as a tree on the top of which the basic data ...

Estimation from multiframe survey data is essentially a problem of combining domain estimates such that the new auxiliary information (for key study variables, z) obtained from several estimates for overlapping domains is used in addition to the usual auxiliary information for sociodemographic and geographic variables (x) used in poststratification. A natural approach is to use optimal regressi...

this paper is a continuation of [uniformities and covering properties for partial frames (i)], in which we make use of the notion of a partial frame, which is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. after presenting there our axiomatization of partial frames, which we call $sels$-frames, we added structure, in th...