English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this paper, we present a new method for variable elimination in systems ofinequations which is much faster than the Fourier-Motzkin Elimination (FME)method. In our method, a linear Diophantine problem is introduced which is dualto our original problem. The new Diophantine system is then solved, and thefinal result is calculated by finding the dual inequations system. Our newmethod uses the algorithm Normaliz to find the Hilbert basis of the solutionspace of the given Diophantine problem. We introduce a problem in theinterference channel with multiple nodes and solve it with our new method.Next, we generalize our method to all problems involving FME and in the end wecompare our method with the previous method. We show that our method has manyadvantages in comparison to the previous method. It does not produce many ofthe redundant answers of the FME method. It also solves the whole problem inone step whereas the previous method uses a step by step approach ineliminating each auxiliary variable.

A New Method for Variable Elimination in Systems of Inequations