scholarly journals Some applications of tensor products of partially-ordered linear spaces

1968 ◽  
Vol 2 (2) ◽  
pp. 177-201 ◽  
Author(s):  
A Hulanicki ◽  
R.R Phelps
Keyword(s):  
Tensor Products ◽  
Linear Spaces ◽  
Partially Ordered ◽  
Ordered Linear Spaces

scholarly journals Nearly directed subspaces of partially ordered linear spaces

1968 ◽  
Vol 16 (2) ◽  
pp. 135-144
Author(s):  
G. J. O. Jameson
Keyword(s):  
Linear Space ◽  
Transitive Relation ◽  
Linear Spaces ◽  
Real Linear Space ◽  
Partially Ordered ◽  
Real Linear ◽  
Image Position ◽  
Ordered Linear Spaces

Let X be a partially ordered linear space, i.e. a real linear space with a reflexive, transitive relation ≦ such that

scholarly journals Capacity analysis of the selected track system in partially ordered space

2019 ◽  
Vol 262 ◽  
pp. 11006
Author(s):  
Eligiusz Mieloszyk ◽  
Anita Milewska ◽  
Sławomir Grulkowski
Keyword(s):  
Traffic Flow ◽  
Railway Track ◽  
Capacity Analysis ◽  
Organizational Changes ◽  
Railway Stations ◽  
Linear Spaces ◽  
Partially Ordered ◽  
Track System ◽  
Ordered Space ◽  
Ordered Linear Spaces

A proper location of the interval sections has significant impact on the traffic flow in the railway track network. This issue is critical during line modernization as well as when a new solution accounting for the traffic forecast at particular element of the railway track network is developed . However, the situation is more complex and more expensive for railway stations since improvement of the capacity requires critical organizational changes and additional investments. We have applied partially ordered linear spaces to study the capacity of a track system.

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