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 there be given an algebraic equation of the nth degree written x + CnAaix + Cnt2a2X + h an = 0, where (7n,i, Cn$, • • • denote binomial coefficients. Let X\9 X<L, • • • 9 xn denote its roots, and X the greatest absolute value of any of these roots. From the equations which express the coefficients in terms of the roots Cn,kdk = (•— l)*2#iov 'Xk (k = 1, 2, • • • n) we infer at once that \ah\g XK In fact there are precisely Cn,k terms on the right-hand side of the kth. equation, each of which is not greater than X. Hence, if a stands for the greatest of the quantities

An elementary double inequality for the roots of an algebraic equation having greatest absolute value