scholarly journals A Characterization of the Uniform Distribution on the Circle

1979 ◽  
Vol 7 (4) ◽  
pp. 882-889 ◽  
Author(s):  
J. T. Kent ◽  
K. V. Mardia ◽  
J. S. Rao
Keyword(s):  
2015 ◽  
Vol 52 (02) ◽  
pp. 508-518 ◽  
Author(s):  
Alessandro D'Andrea ◽  
Luca De Sanctis

We show how to determine if a given vector can be the signature of a system on a finite number of components and, if so, exhibit such a system in terms of its structure function. The method employs combinatorial results from the theory of (finite) simplicial complexes, and provides a full characterization of signature vectors using a theorem of Kruskal (1963) and Katona (1968). We also show how the same approach can provide new combinatorial proofs of further results, e.g. that the signature vector of a system cannot have isolated zeroes. Finally, we prove that a signature with all nonzero entries must be a uniform distribution.


2011 ◽  
Vol 10 (04n05) ◽  
pp. 1073-1076 ◽  
Author(s):  
YOONES ERFAN ◽  
SEYED FARSHID KASHANI-BOZORG

Friction stir processing (FSP) was employed to incorporate nano-sized SiC particles into the surface of AZ31 magnesium substrate in order to produce surface nanocomposite layers. Characterization of the microstructure of the processed layers exhibited powders agglomeration which was found to disperse with increasing the tool rotation speed/advancing speed ratio. A uniform distribution of SiC particles with a mean particle size of ~95 nm was achieved after second FSP passes. The matrix grain size was found to decrease by increasing the tool advancing speed and number of FSP passes; however, increasing the advancing speed resulted in introduction of defects which leads to tunnels. The micro hardness value of the composite layer with uniform distribution of nano-size SiC particles was found to be almost twice of that of the AZ31 substrate.


2021 ◽  
Author(s):  
Jayanta Ray ◽  
Leena Bhowmik

Herein we describe the synthesis and in-depth characterization of chemically blended hybrid glasses in which polymer molecules are uniformly distributed and covalently bonded to inorganic matrices. This approach uses a monomer with double bonds, which are hydrosilylated with triethoxy silane and co-condensed with silicon tetraalkoxide to afford a molecular composite of SiO2 glass and the polymer. The generated coposites were characterized using SEM, TGA and XRD as well as a host of stability tests. They showed increased stability and uniform distribution of the blend. <br>


2015 ◽  
Vol 45 (4) ◽  
pp. 347-354 ◽  
Author(s):  
Fabíola Fernandes Paiva de Castro FRÓES ◽  
Thália do Socorro Serra GAMA ◽  
Ana Carla FEIO ◽  
Diego DEMARCO ◽  
Ana Cristina Andrade de AGUIAR-DIAS

Glandular trichomes play a major role in the morphological characterization of the Bignoniaceae. Due to their great diversity of forms and functions, this study aimed to inventory the glandular trichomes present in the aerial vegetative axis of Amphilophium magnoliifolium, Martinella obovata and Stizophyllum riparium, analyze their structure and register the participation of ants in these plants. Fresh samples from the nodal region, petiole and from medium to apical regions of the leaflet blade were fixed and processed according to usual methods in light and scanning electron microscopies. The glandular trichomes found were: peltate, capitate, stipitate, and patelliform/cupular. Peltate trichomes are the most abundant ones and present the most uniform distribution. Patelliform/cupular trichomes occur at specific regions, such as prophylls, leaflet blade and nodal regions. Martinella obovata is the only species that presents capitate and stipitate trichomes, which are widely distributed along the entire aerial vegetative axis. Ants were found in all species, mainly at nodal regions. The occurrence of the capitate-type trichome is reported for the first time to the genus.


Author(s):  
Daniela Ilie ◽  
Cristina Ban-Calefariu

Faunistic and ecological characterization of aquatic and semiaquatic Heteroptera (Insecta) communities in permanent swamps situated in Făgăraş Depression and Sibiu Depression (Romania) This paper assesses the biodiversity of aquatic and semiaquatic Heteroptera in permanent swamps situated in two contact depressions between Făgăraş Mountains and the Transylvania Plateau, and performs a species association and a species monthly dynamics analysis. We have identified 30 species of Heteroptera, of which 18 species are aquatic (Infraorder Nepomorpha) and 12 are semiaquatic (Infraorder Gerromorpha). The α-biodiversity analysis reveales values between 0.379-3.475 for the investigated stations, which indicate a uniform distribution of individuals on species, both within stations and in each of the two depressions. The monthly sampling, in 2004, enabled us to analyze the species dynamics.


Sign in / Sign up

Export Citation Format

Share Document