scholarly journals Some necessary conditions for vector space partitions

2012 ◽  
Vol 312 (2) ◽  
pp. 351-361 ◽  
Author(s):  
Juliane Lehmann ◽  
Olof Heden
Keyword(s):  
Vector Space ◽  
Necessary Conditions ◽  
Vector Space Partitions

scholarly journals A SURVEY OF THE DIFFERENT TYPES OF VECTOR SPACE PARTITIONS

2012 ◽  
Vol 04 (01) ◽  
pp. 1250001 ◽  
Author(s):  
OLOF HEDEN
Keyword(s):  
Vector Space ◽  
Design Theory ◽  
Projective Planes ◽  
Error Correcting Codes ◽  
Necessary Condition ◽  
Space Partition ◽  
Different Types ◽  
Vector Space Partitions ◽  
Historical Remarks ◽  
Zero Vector

A vector space partition is here a collection [Formula: see text] of subspaces of a finite vector space V(n, q), of dimension n over a finite field with q elements, with the property that every non-zero vector is contained in a unique member of [Formula: see text]. Vector space partitions relate to finite projective planes, design theory and error correcting codes. In the first part of the paper I will discuss some relations between vector space partitions and other branches of mathematics. The other part of the paper contains a survey of known results on the type of a vector space partition, more precisely: the theorem of Beutelspacher and Heden on T-partitions, rather recent results of El-Zanati et al. on the different types that appear in the spaces V(n, 2), for n ≤ 8, a result of Heden and Lehmann on vector space partitions and maximal partial spreads including their new necessary condition for the existence of a vector space partition, and furthermore, I will give a theorem of Heden on the length of the tail of a vector space partition. Finally, I will also give a few historical remarks.

On vector space partitions and uniformly resolvable designs

2008 ◽  
Vol 48 (1) ◽  
pp. 69-77 ◽  
Author(s):  
A. D. Blinco ◽  
S. I. El-Zanati ◽  
G. F. Seelinger ◽  
P. A. Sissokho ◽  
L. E. Spence ◽  
...  
Keyword(s):  
Vector Space ◽  
Resolvable Designs ◽  
Vector Space Partitions

On Semi - Pre irresolute Topological Vector Space

2018 ◽  
Vol 14 (3) ◽  
pp. 184-192
Author(s):  
Radhi Ali ◽  
◽  
Jalal Hussein Bayati ◽  
Suhad Hameed
Keyword(s):  
Vector Space ◽  
Topological Vector Space

Czech National Awareness in Moravia in the Revolutionary Years 1848/1849

2014 ◽  
Vol 6 (1) ◽  
Author(s):  
František Čapka
Keyword(s):  
Nineteenth Century ◽  
Necessary Conditions ◽  
Cultural Contact ◽  
Significant Change ◽  
Mutual Relations ◽  
High Degree

AbstractThis study focuses on the process of the gradual shaping of Czech national awareness in Moravia from the beginning of the nineteenth century onwards when the necessary conditions for the development of improved mutual relations between the Czech (Slavic) population in the two Lands of the Czech Crown -Bohemia and Moravia - were slowly being formed. Moravia faced a number of handicaps to the development of a national revival in comparison with Bohemia, the most significant of which was the relatively high degree of Germanisation of the land. A change to the image of Moravia came in the revolutionary years 1848/1849, when Czech national awareness spread to broader sections of society in Moravia. The view of Bohemia held by the Moravians underwent significant change and a period of increasingly intensive political and cultural contact between the two lands arose.

SOCIAL PROTECTION IS A GUARANTEE OF FAMILY UNITY

2020 ◽  
Vol 7 (3) ◽  
pp. 89-96
Author(s):  
Dilbar Karshieva ◽  
Keyword(s):  
Social Protection ◽  
Necessary Conditions ◽  
Family Members ◽  
The State ◽  
The Military ◽  
Family Unity

This article demonstrates the great attention and care paid by the state to the military and their families in our country.Social protection of families of military men consists in creating necessary conditions for family members to develop and demonstrate their abilities in socio-economic, cultural, medical and other spheres.

Sign in / Sign up

Export Citation Format

Share Document