in this paper, we show that in each nite dimensional hilbert space, a frame of subspaces is an ultra bessel sequence of subspaces. we also show that every frame of subspaces in a nite dimensional hilbert space has frameness bound.

The present studies examine the persuasive effects of tailored health messages comparing those tailored to match (vs. not match) both chronic cultural frame and momentarily salient cultural frame. Evidence from two studies (Study 1 n = 72 European Americans, Study 2 n = 48 Asian Americans) supports the hypothesis that message persuasiveness increases when chronic cultural frame, health message ...

This paper presents first a valid, fully non-linear 2-D numerical model that can capture realistically the in-plane hysteretic behaviour of reinforced concrete (R/C) frames with masonry infills when they are subjected to combined vertical and cyclic horizontal loads in order to predict their post-elastic earthquake bahaviour. The effectiveness of this simulation was validated by comparing the n...

finite affine groups are given by groups of translations and di-lations on finite cyclic groups. for cyclic groups of prime orderwe develop a time-scale (wavelet) analysis and show that for alarge class of non-zero window signals/vectors, the generatedfull cyclic wavelet system constitutes a frame whose canonicaldual is a cyclic wavelet frame.

Here quantum theory representations of real (R) and complex (C) numbers are described as equivalence classes of Cauchy sequences of states of single, finite strings of qukits where the qukit string states represent rational numbers. This work extends earlier work with qubit string states to qukit string states for any base k ≥ 2. Quantum theory representations differ from the usual classical re...

It may be that there is no way to axiomatize an intensional logic without recourse to one or more iterative axioms; then I call that logic iterative. But many familiar logics can be axiomatized by means of non-iterative axioms alone; these logics I call non-iterative. A frame, roughly speaking, is a partial interpretation for an intensional language. It provides a set 1, all subsets of which ar...

for any reduced commutative $f$-ring with identity and bounded inversion, we show that a condition which is obviously necessary for the socle of the ring to coincide with the socle of its bounded part, is actually also sufficient. the condition is that every minimal ideal of the ring consist entirely of bounded elements. it is not too stringent, and is satisfied, for instance, by rings of conti...