Let F and Fm be the usual spaces of n-dimensional column and m-dimensional row vectors on F, respectively, where F is the field of real or complex numbers. In this paper, the relations gsmajorization, lgw-majorization, and rgw-majorization are considered on F and Fm. Then linear maps T : F → F preserving lgw-majorization or gs-majorization and linear maps S : Fn → Fm, preserving rgw-majorizatio...

let a and b be n × m matrices. the matrix b is said to be g-row majorized (respectively g-column majorized) by a, if every row (respectively column) of b, is g-majorized by the corresponding row (respectively column) of a. in this paper all kinds of g-majorization are studied on mn,m, and the possible structure of their linear preservers will be found. also all linear operators t : mn,m ---> mn...

let a and b be n × m matrices. the matrix b is said to be g-row majorized (respectively g-column majorized) by a, if every row (respectively column) of b, is g-majorized by the corresponding row (respectively column) of a. in this paper all kinds of g-majorization are studied on mn,m, and the possible structure of their linear preservers will be found. also all linear operators t : mn,m ---> mn...

The diagnosis of myelodysplastic syndromes (MDS) without an increase in blasts and ringed sideroblasts (low-grade MDS without ringed sideroblasts [LGw/oRS]) may be problematic because dysplastic features are not specific to MDS and approximately 50% of patients with LGw/oRS lack chromosomal aberrations. Here, we report the usefulness of flow cytometric characteristics of CD34(+) cells for LGw/o...

All isotropy subgroups (and thus all quasicontinuous symmetry changes) corresponding to k points of symmetry have been obtained for the 80 diperiodic space groups. The detailed information for such phase transitions is given here for the diperiodic space group I'———.Only two distinct images (sets of representation matrices) occur for this example yielding Landau-Ginzburg-Wilson (LGW) Hamiltonia...

A number of examples have demonstrated the failure of the Landau-Ginzburg-Wilson LGW paradigm in describing the competing phases and phase transitions of two-dimensional quantum magnets. In this paper, we argue that such magnets possess field theoretic descriptions in terms of their slow fluctuating orders provided certain topological terms are included in the action. These topological terms ma...

Let A and B be n × m matrices. The matrix B is said to be g-row majorized (respectively g-column majorized) by A, if every row (respectively column) of B, is g-majorized by the corresponding row (respectively column) of A. In this paper all kinds of g-majorization are studied on Mn,m, and the possible structure of their linear preservers will be found. Also all linear operators T : Mn,m ---> Mn...

Two experiments were conducted to examine the effect of previous BW gain during winter grazing on subsequent growth, carcass characteristics, and change in body composition during the feedlot finishing phase. In each experiment, 48 fall-weaned Angus x Angus-Hereford steer calves were assigned randomly to one of three treatments: 1) high rate of BW gain grazing winter wheat (HGW), 2) low rate of...

Two experiments were conducted to examine the effect of previous BW gain during winter grazing on subsequent growth, carcass characteristics, and change in body composition during the feedlot finishing phase. In each experiment, 48 fall-weaned Angus × Angus-Hereford steer calves were assigned randomly to one of three treatments: 1) high rate of BW gain grazing winter wheat (HGW), 2) low rate of...

Bosek and Krawczyk exhibited an on-line algorithm for partitioning an on-line poset of width w into w lgw chains. They also observed that the problem of on-line chain partitioning of general posets of width w could be reduced to First-Fit chain partitioning of (2w + 1)-ladder-free posets of width w, where an m-ladder is the transitive closure of the union of two incomparable chains x1 6 . . . 6...