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

Using equivariant topology, we prove that it is always possible to find $n$points in the $d$-dimensional faces of a $nd$-dimensional convex polytope $P$so that their center of mass is a target point in $P$. Equivalently, the$n$-fold Minkowski sum of a $nd$-polytope's $d$-skeleton is that polytopescaled by $n$. This verifies a conjecture by Takeshi Tokuyama.

A point in a $nd$-Polytope is the barycenter of $n$ points in its $d$-faces