The generalization of p-frame in Banach spaces is considered in this paper. The concepts of an $tilde{X}$-frame and a system conjugate to $tilde{X}$-frame were introduced. Analogues of the results on the existence of conjugate system were obtained. The stability of $tilde{X}$-frame having a conjugate system is studied.

Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...

the generalization of p-frame in banach spaces is considered in this paper. the concepts of an $tilde{x}$-frame and a system conjugate to $tilde{x}$-frame were introduced. analogues of the results on the existence of conjugate system were obtained. the stability of $tilde{x}$-frame having a conjugate system is studied.

Leukocyte rolling in postcapillary venules of inflamed tissues is reduced in L-selectin-deficient mice and mice treated with L-selectin blocking antibodies, but the glycoprotein ligand for L-selectin in inflamed venules is unknown. Here, we show that L-selectin-dependent rolling after P-selectin blockade is completely absent in P-selectin glycoprotein ligand-1 (PSGL-1)-/- mice or wild-type mice...

A multivariate analysis was performed to provide objective descriptions of visually perceived differences in feeder-cattle frame size and muscle thickness. Three hundred and twenty-four yearling feeder steers were selected to represent USDA classifications for frame size (Large, L; Medium, M; Small, S) and muscle thickness (No. 1, No. 2 and No. 3). The frame-size classification (F) of each stee...

A topoframe, denoted by $L_{ tau}$, is a pair $(L, tau)$ consisting of a frame $L$ and a subframe $ tau $ all of whose elements are complementary elements in$L$. $f$-ring $mathcal{R}(L_{ tau})$ is equal to the set $${fin Frm(mathcal{P}(mathbb R), L): f(mathfrak{O}(mathbb R))subseteq tau} .$$ In this paper, for every complemented element $ain L$ with $a, a'...

L-sets over a base set X are generalizations of classical sets where subsets are not specified by characteristic functions from X to {0, 1} but rather by functions from X to a lattice L. For an L-set a ∈ L and an element x ∈ X, a(x) is interpreted as the grade of membership of x in a. Stratified L-topological spaces are generalizations of topological spaces to the L-set case [1]. In [2], strati...

1 . I n t roduc t i on This work is based on the b e l i e f that a computa t i o n a l theory of percept ion must encompass dual theor ies of representa t ion and recogn i t i on . We propose a procedural model of recogn i t ion which 1) provides a mechanism fo r f l e x i b l y i n t e g r a t i n g topdown and bottom-up con t ro l s t r uc tu res , 2) supports the use of a h ierarchy of mode...

This paper investigates the effectiveness of floating breakwaters consisting two barges (L-shape), three (U-shape), four (barge frame), and conventional single breakwater. The different spatial layouts have sheltered internal gaps/moonpools when compared to their counterparts. motions these in wave transmission motion reduction protected bodies are evaluated. study is conducted based on a subsy...