scholarly journals Lp Linear discrepancy of totally unimodular matrices

2007 ◽  
Vol 420 (2-3) ◽  
pp. 663-666 ◽  
Author(s):  
Benjamin Doerr
Keyword(s):  
Linear Discrepancy ◽  
Totally Unimodular Matrices

scholarly journals Linear Discrepancy of Basic Totally Unimodular Matrices

10.37236/1526 ◽  
2000 ◽  
Vol 7 (1) ◽  
Author(s):  
Benjamin Doerr
Keyword(s):  
Linear Discrepancy ◽  
Unimodular Matrix ◽  
Totally Unimodular Matrices

We show that the linear discrepancy of a basic totally unimodular matrix $A \in R^{m \times n}$ is at most $1- {1\over {n+1}}$. This extends a result of Peng and Yan.

A Characterization of Partially Ordered Sets with Linear Discrepancy Equal to 2

Order ◽  
2007 ◽  
Vol 24 (3) ◽  
pp. 139-153 ◽  
Author(s):  
David M. Howard ◽  
Mitchel T. Keller ◽  
Stephen J. Young
Keyword(s):  
Partially Ordered Sets ◽  
Ordered Sets ◽  
Linear Discrepancy ◽  
Partially Ordered

Linear Discrepancy of the Product of Two Chains

Order ◽  
2005 ◽  
Vol 22 (1) ◽  
pp. 63-72 ◽  
Author(s):  
Sungpyo Hong ◽  
Jong-Yoon Hyun ◽  
Hyun Kwang Kim ◽  
Sang-Mok Kim
Keyword(s):  
Linear Discrepancy

scholarly journals Evaluation of the Local Geodetic Network in Jurmala City

2019 ◽  
Vol 10 ◽  
pp. 8-15
Author(s):  
Armands Celms ◽  
Ilona Reke ◽  
Miks Brinkmanis-Brimanis ◽  
Vivita Pukite
Keyword(s):  
Data Processing ◽  
Measurement Data ◽  
Geodetic Network ◽  
High Accuracy ◽  
Base Station ◽  
Specific Region ◽  
High Quality ◽  
Linear Discrepancy ◽  
The Given ◽  
The City

In order to evaluate the accuracy of the local geodetic network of Jurmala City, in research, comparison of forty-seven selected polygonometry network point coordinates with the obtained data was made by performing measurements by real time cinematic (RTK) method in LatPos base station system. Points were chosen so in order to cover evenly the entire territory of the city. At present, gradual renewal and improvement of the local geodetic network takes place in Jurmala. The linear discrepancy of coordinates obtained in measurements varies from 0.016 m to 0.259 m, mean linear discrepancy in the measured points is fixed 0.110 m. Discrepancy of plane coordinates in different regions of Jurmala is not even. It is rather even within approximate boundaries of the determined regions, this is indicated by different directions of offset vectors, which in eastern part of the city are pointed mainly in NW direction, in central part directions are pointed in W direction, but in the western part of the city pointed in NE direction. Concerning heights, only for 3 of measured points discrepancy exceeds 0.05 m error and there are no connection concerning some specific region. 15% of the measured points of the local geodetic network are with appropriate accuracy of plane coordinates. The linear discrepancy of plane coordinates for points of the local geodetic network, which are measured by RTK method and compared with data from the improved network is 0.024 (m), which indicates the high accuracy of RTK method in measurement data. In Jurmala City, obtaining of data by GNNS data receivers is encumbered by large density of trees. Therefore the local geodetic network in city has very important role in order to ensure performance of geodetic measurements of high quality in the territory of the city. Aim of the research is to evaluate the accuracy of the local geodetic network of Jurmala City. The following tasks have been set for achieving the aim: research of the given problem, visit of the local geodetic network points, performing control measurements, data processing and analysis.

On the normality of Rees algebras associated to totally unimodular matrices

2002 ◽  
Vol 41 (3-4) ◽  
pp. 258-264 ◽  
Author(s):  
Vittoria Bonanzinga ◽  
Cesar A. Escobar ◽  
Rafael H. Villarreal
Keyword(s):  
Rees Algebras ◽  
Totally Unimodular Matrices

scholarly journals Linear Discrepancy of Chain Products and Posets with Bounded Degree

Order ◽  
2013 ◽  
Vol 31 (3) ◽  
pp. 291-305
Author(s):  
Jeong-Ok Choi ◽  
Kevin G. Milans ◽  
Douglas B. West
Keyword(s):  
Bounded Degree ◽  
Linear Discrepancy
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