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 analyze the sum of squares hierarchy (SOS) on the orderingprinciple on $n$ elements. We prove that degree $O(\sqrt{n}log(n))$ SOS canprove the ordering principle. We then show that this upper bound is essentiallytight by proving that for any $\epsilon > 0$, SOS requires degree$\Omega(n^{\frac{1}{2} - \epsilon})$ to prove the ordering principle on $n$elements.

Sum of squares bounds for the ordering principle