Large Families of Pseudorandom Sequences of k Symbols and Their Complexity – Part I

Author(s):  
R. Ahlswede ◽  
C. Mauduit ◽  
A. Sárközy
2011 ◽  
Vol 07 (05) ◽  
pp. 1279-1302 ◽  
Author(s):  
HUANING LIU

Recently there has been much progress in the study of arithmetic progressions. An important tool in these developments is the Gowers uniformity norm. In this paper we study the Gowers norm for pseudorandom binary sequences, and establish some connections between these two subjects. Some examples are given to show that the "good" pseudorandom sequences have small Gowers norm. Furthermore, we introduce two large families of pseudorandom binary sequences constructed by the multiplicative inverse and additive character, and study the pseudorandom measures and the Gowers norm of these sequences by using the estimates of exponential sums and properties of the Vandermonde determinant. Our constructions are superior to the previous ones from some points of view.


2000 ◽  
Vol 22 (1) ◽  
pp. 1-16 ◽  
Author(s):  
KEITH BRANIGAN ◽  
COLIN MERRONY

The Hebridean blackhouse is a well-known part of the eighteenth and nineteenth century landscape of the Western Isles, described by numerous early travellers and preserved for posterity at Arnol in Lewis. Survey and excavation of blackhouses on the Isle of Barra, however, suggests that here at least, the majority of blackhouses did not conform to the 'norm' of a long building with accommodation shared by animals and humans. Despite the large families of the Catholic population of Barra, the houses are shorter and provide less internal space than blackhouses further north in the island chain. Animals were more often housed in separate byres. Similarly, the human use of space in the Barra blackhouses shows some variations from the pattern described by nineteenth century sources. As to the origins of the blackhouse, unexcavated sites on Barra suggest two possible future routes of enquiry.


2009 ◽  
Vol 29 (11) ◽  
pp. 2946-2947
Author(s):  
Jin-mei LIU ◽  
Shui-sheng QIU

2011 ◽  
Vol 33 (5) ◽  
pp. 1198-1203 ◽  
Author(s):  
Xiao-jun Chen ◽  
Zan Li ◽  
Bao-ming Bai ◽  
Wei Pan ◽  
Qing-hua Chen

2020 ◽  
pp. 159-172
Author(s):  
Patrick Yeyie

In Ghana, about 20% of school children are involved in some form of child labor. In the Oti Region of Ghana, the Kete-Krachi district has the highest prevalence rate of about 39% compared to 33.2% for the whole region. This paper investigates the major causes of child labor among School children in the Kete-Krachi district of the Oti Region. The study examined 145 respondents through questionnaire and interviews. The research design for the study was both quantitative and qualitative. The respondents comprised 60 JHS social studies teachers, 60 Victims of child labor, 15 parents or guardians of the victims of child labor and 10 stakeholders of education. Data analysis showed that 67% of the victims were from large families of five or more. It was found out that some of the victims worked to contribute to their own welfare. Others worked due to poverty. Some victims also work to promote their education. It was also observed that teachers, opinion leaders, NGOs and the Government should help in the eradication of the menace in Kete-Krachi area.


2021 ◽  
Vol 22 (6) ◽  
pp. 2906
Author(s):  
Urszula Talar ◽  
Agnieszka Kiełbowicz-Matuk

B-box proteins represent diverse zinc finger transcription factors and regulators forming large families in various plants. A unique domain structure defines them—besides the highly conserved B-box domains, some B-box (BBX) proteins also possess CCT domain and VP motif. Based on the presence of these specific domains, they are mostly classified into five structural groups. The particular members widely differ in structure and fulfill distinct functions in regulating plant growth and development, including seedling photomorphogenesis, the anthocyanins biosynthesis, photoperiodic regulation of flowering, and hormonal pathways. Several BBX proteins are additionally involved in biotic and abiotic stress response. Overexpression of some BBX genes stimulates various stress-related genes and enhanced tolerance to different stresses. Moreover, there is evidence of interplay between B-box and the circadian clock mechanism. This review highlights the role of BBX proteins as a part of a broad regulatory network in crop plants, considering their participation in development, physiology, defense, and environmental constraints. A description is also provided of how various BBX regulators involved in stress tolerance were applied in genetic engineering to obtain stress tolerance in transgenic crops.


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