Abstract As generalizations of g-frames and controlled frames, the theory has been deeply studied. This paper addresses dual in Hilbert spaces. We first present some equivalent characterizations g-frames. Then, we introduce concepts operator, get properties them. Finally, obtain for a given g-frame by method operator theory.

We consider a non-canonic field in the context of Starobinsky inflation. work Einstein-frame. In this frame, gravitational part action is equivalent to Hilbert–Einstein action, plus scalar called scalaron. investigate model with heavy scalaron trapped at effective potential minimum, where its fluctuations are negligible. To be more explicit, we Dirac–Born–Infeld (DBI) field, which usually consi...

This paper presents the findings of an experimental investigation on a reinforced concrete frame structure (ordinary moment resistant frame). The test model was subjected to lateral excitation employing 1994 Northridge earthquake accelerogram. fabricated in 1:3 reduced scale acquiring dimensional similarities. utilized ingredient mix ratio 1:1.65:1.75 and water binder 0.47. dynamic characterist...

Spatial memories are often organized around reference frames, and environmental shape provides a salient cue to reference frame selection. To date, however, the environmental cues responsible for influencing reference frame selection remain relatively unknown. To connect research on reference frame selection with that on orientation via environmental shape, we explored the extent to which geome...

An experimental study is conducted on three ½ scales, single-story, single-bay, frame specimens. The first specimen was a reinforced concrete frame with solid-brick infill. The second specimen was a reinforced concrete frame with hollow clay perforated-brick infill. The last specimen was a reinforced concrete frame without any infill. These three specimens were tested by pseudostatic method. Di...

The conventional discussion of apparent distortions of space and time in Special Relativity (the Lorentz-Fitzgerald Contraction and Time Dilatation) is extended by considering observations of : (i) moving objects of limited lifetime in their own rest frame ('transient luminous objects') and (ii) a moving extended array of synchro-nised 'equivalent clocks' in a common inertial frame. Application...