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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Let  be integers and  a family of -subsets of []. Let  be the higher inclusion matrix of the subsets in  vs. the -subsets of []. When  consists of all -subsets of [], we shall simply write  in place of . In this paper we prove that the rank of the higher inclusion matrix  over an arbitrary field  is resilient. That is, if the size of  is “close” to  then , where  is an arbitrary field. Furthermore, we prove that the rank (over a field ) of the higher inclusion matrix of -subspaces vs. -subspaces of an -dimensional vector space over  is also resilient if  is coprime to .

Resilience of ranks of higher inclusion matrices