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

A result of Ehrenfeucht implies that the smallest class of number-theoretic functions      f : N →  N f:{\mathbf {N}} \to {\mathbf {N}}       containing the constants      0 , 1 , 2 , …  0,1,2, \ldots      , the identity function      X X      , and closed under addition, multiplication and      f →  f X f \to {f^X}      , is well-ordered by the relation of eventual dominance. We show that its order type is      ω  ω  ω  {\omega ^{{\omega ^\omega }}}      , and that for any two nonzero functions      f , g f,g       in the class the quotient      f ( n ) / g ( n ) f(n)/g(n)       tends to a limit in      E + ∪  { 0 , ∞  } {E^ + } \cup \{ 0,\infty \}       as      n →  ∞  n \to \infty      , where      E + {E^ + }       is the smallest set of positive real numbers containing      1 1       and closed under addition, multiplication and under the operations      x →  x −  1 , x →  e x x \to {x^{ - 1}},x \to {e^x}      .

On Skolem’s exponential functions below 2^{2^{𝑋}}