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

We introduce a basis of rational polynomial-like functions$P_0,\ldots,P_{n-1}$ for the free module of functions $Z/nZ\to Z/mZ$. We thencharacterize the subfamily of congruence preserving functions as the set oflinear combinations of the functions $lcm(k)\,P_k$ where $lcm(k)$ is the leastcommon multiple of $2,\ldots,k$ (viewed in $Z/mZ$). As a consequence, when$n\geq m$, the number of such functions is independent of $n$.

Characterizing congruence preserving functions $Z/nZ\to Z/mZ$ via rational polynomials