scholarly journals Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets

2013 ◽  
Vol 2014 (23) ◽  
pp. 6399-6430 ◽  
Author(s):  
Valentino Magnani ◽  
Tapio Rajala
Keyword(s):  
Homogeneous Group ◽  
Area Formula ◽  
Nikodym Property

Dual spaces ofJB *-triples and the Radon-Nikodym property

1991 ◽  
Vol 208 (1) ◽  
pp. 327-334 ◽  
Author(s):  
L. J. Bunce ◽  
C. -H. Chu
Keyword(s):  
Dual Spaces ◽  
Nikodym Property

On the Radon-Nikodym Property in Jordan Triples

1987 ◽  
Vol 99 (3) ◽  
pp. 462 ◽  
Author(s):  
Cho-Ho Chu ◽  
Bruno Iochum
Keyword(s):  
Nikodym Property

scholarly journals Experiments with high velocity positive ions V—Further experiments on the disintegration of boron

1936 ◽  
Vol 154 (881) ◽  
pp. 246-261 ◽  
Keyword(s):  
High Velocity ◽  
Ion Beam ◽  
Continuous Distribution ◽  
Homogeneous Group ◽  
Hydrogen Ions ◽  
Positive Ions ◽  
Mixed Beam ◽  
Magnetic Analysis ◽  
Α Particles

1—In a previous paper experiments on the disintegration of lithium, boron, and carbon by heavy hydrogen ions were described. The experiments on boron showed the presence of three proton groups of ranges 31, 58, and 92 cm for deuteron energies of 500 kv. They showed also a continuous distribution of α-particles between the ranges 5 cm and 15 cm, the distribution having a maximum at about 9 cm. There were also indications of a homogeneous group of α-particles at the end of the distribution, but the numbers of particles obtained were not sufficient to allow of its existence being definitely established. Since these experiments, we have been able to obtain heavy hydrogen of much higher purity, and have improved our source of ions, so that we have been able to determine the distribution in energy of the α-particles with much greater precision. A further improvement has been made by applying magnetic analysis to our ion beam, for in our original experiments with a mixed beam of protons and deuterons, the α-particles of range less than 4 cm resulting from deuteron transmutations were masked by the large number of α-particles due to proton disintegrations.

Dunford-Pettis operators and the Radon-Nikodym property

1988 ◽  
Vol 50 (2) ◽  
pp. 183-188 ◽  
Author(s):  
V. Caselles
Keyword(s):  
Nikodym Property

T-3 Uptake in Infants and Children

PEDIATRICS ◽  
1962 ◽  
Vol 30 (6) ◽  
pp. 1012-1013
Author(s):  
JAMES F. MARKS
Keyword(s):  
Statistical Difference ◽  
Age Groups ◽  
Homogeneous Group ◽  
Early Infancy ◽  
Infants And Children ◽  
Discrete Groups ◽  
In Infants And Children

The values obtained by Kundstadter and associates vary rather markedly from those obtained by ourselves and others. They found elevated T-3-RBC uptake at various periods throughout childhood, while our results showed an elevation only in early infancy. Even there Kundstadter et al. showed a much greater change than we did. Our work was in part misrepresented by the authors, when they stated that we did not distinguish among various age groups. We divided our infants under 18 months into a number of discrete groups. We grouped together children 1½ to 15 years of age because our data indicated these children represented a homogeneous group with respect to T-3 uptake. Indeed, observation of the authors' data for children 2 to 13 years suggests no real statistical difference among the three separate groups into which they have been divided.

Irreducible first Brillouin zone for two-dimensional magnonic crystals with asymmetric complex lattices

2021 ◽  
pp. 2150170
Author(s):  
Hui Yang ◽  
Guo-Hong Yun ◽  
Yong-Jun Cao
Keyword(s):  
Brillouin Zone ◽  
Unit Cell ◽  
Square Lattice ◽  
Two Dimensional ◽  
Area Formula ◽  
Irreducible Part ◽  
Full Band ◽  
Magnonic Crystals ◽  
Magnonic Crystal ◽  
Complex Basis

Two-dimensional (2D) magnonic crystal (MC) with an asymmetric complex basis is proposed in this paper, and its band structures are calculated in the whole area of the first Brillouin zone (BZ). This kind of MCs is composed of two different atoms in the unit cell, and the symmetry of the unit cell is broken due to changes in the position of the second atom, so the irreducible part of the BZ is no longer the small area [Formula: see text] for square lattice, and it must be expanded to the whole first BZ. Only by investigating the whole first BZ, can we get the true full band-gap for this kind of MCs.

High-resolution stratigraphic characterization of natural fracture attributes in the Woodford Shale, Arbuckle Wilderness and US-77D Outcrops, Murray County, Oklahoma

2018 ◽  
Vol 6 (1) ◽  
pp. SC29-SC41 ◽  
Author(s):  
Sayantan Ghosh ◽  
John N. Hooker ◽  
Caleb P. Bontempi ◽  
Roger M. Slatt
Keyword(s):  
Natural Fracture ◽  
Fracture Aperture ◽  
Aperture Size ◽  
Fracture Density ◽  
Area Formula ◽  
Woodford Shale ◽  
Fracture Spacing ◽  
Spacing Ratio ◽  
Fracture Intensity ◽  
Bed Thickness

Natural fracture aperture-size, spacing, and stratigraphic variation in fracture density are factors determining the fluid-flow capacity of low-permeability formations. In this study, several facies were identified in a Woodford Shale complete section. The section was divided into four broad stratigraphic zones based on interbedding of similar facies. Average thicknesses and percentages of brittle and ductile beds in each stratigraphic foot were recorded. Also, five fracture sets were identified. These sets were split into two groups based on their trace exposures. Fracture linear intensity (number of fractures normalized to the scanline length [[Formula: see text]]) values were quantified for brittle and ductile beds. Individual fracture intensity-bed thickness linear equations were derived. These equations, along with the average bed thickness and percentage of brittle and ductile lithologies in each stratigraphic foot, were used to construct a fracture areal density (number of fracture traces normalized to the trace exposure area [[Formula: see text]]) profile. Finally, the fracture opening-displacement size variations, clustering tendencies, and fracture saturation were quantified. Fracture intensity-bed thickness equations predict approximately 1.5–3 times more fractures in the brittle beds compared with ductile beds at any given bed thickness. Parts of zone 2 and almost entire zone 3, located in the upper and middle Woodford, respectively, have high fracture densities and are situated within relatively organic-rich (high-GR) intervals. These intervals may be suitable horizontal well landing targets. All observed fracture cement exhibit a lack of crack-seal texture. Characteristic aperture-size distributions exist, with most apertures in the 0.05–1 mm (0.00016–0.0032 ft) range. In the chert beds, fracture cement is primarily bitumen or silica or both. Fractures in dolomite beds primarily have calcite cement. The average fracture spacing indices (i.e., bed thickness-fracture spacing ratio) in brittle and ductile beds were determined to be 2 and 1.2, respectively. Uniform fracture spacing was observed along all scanlines in the studied beds.

The Empirical Heterogeneity of First Rank Symptoms in Schizophrenia

1982 ◽  
Vol 140 (5) ◽  
pp. 498-502 ◽  
Author(s):  
Richard Lewine ◽  
Robin Renders ◽  
Mark Kirchhofer ◽  
Ann Monsour ◽  
Norman Watt
Keyword(s):  
Psychiatric Symptoms ◽  
Empirical Studies ◽  
Reliability And Validity ◽  
Homogeneous Group ◽  
Schizophrenic Patients ◽  
First Rank Symptoms ◽  
The Relationship

SummaryFirst rank symptoms have assumed an important role in the assessment of schizophrenia. Only recently, however, have there been empirical studies of their reliability and validity. In this study, we examined the relationship between first rank and other psychiatric symptoms in 100 schizophrenic patients. The results are consistent with other research reports suggesting that first rank symptoms do not represent a homogeneous group of symptoms within an individual patient.

Sign in / Sign up

Export Citation Format

Share Document