▁a ▁Fellow ▁of ▁the ▁Royal ▁Society ▁in ▁ 1 9 0 8 . ▁ ▁He ▁spent ▁ 1 9 1 6 – 1 9 1 7 ▁as ▁Vis iting ▁Professor ▁in ▁L ah ore ▁and ▁deput ised ▁for ▁Professor ▁Mac Donald ▁at ▁Aber de en ▁University ▁during ▁the ▁latter ▁part ▁of ▁the ▁war . ▁ ▁In ▁ 1 9 2 2 ▁a ▁break down ▁in ▁health ▁forced ▁his ▁ret irement ▁from ▁academic ▁life ▁and ▁he ▁spent ▁the ▁next ▁part ▁of ▁his ▁life ▁in ▁Nor folk . ▁ ▁He ▁died ▁in ▁Hun ting don ▁in ▁ 1 9 5 8 ▁and ▁was ▁buried ▁in ▁the ▁family ▁grave ▁at ▁St . ▁Nicholas ▁Church , ▁H ale wood . ▁ ▁Theorem ▁on ▁zeros ▁of ▁a ▁polynomial ▁If ▁, ▁ ▁are ▁two ▁polynomials ▁that ▁satisfy ▁the ▁ap olar ity ▁condition , ▁i . e . ▁, ▁then ▁every ▁neighbourhood ▁that ▁includes ▁all ▁zeros ▁of ▁one ▁polynomial ▁also ▁includes ▁at ▁least ▁one ▁zero ▁of ▁the ▁other . ▁ ▁Cor ollary ▁Let ▁ ▁and ▁ ▁be ▁defined ▁as ▁in ▁the ▁above ▁theorem . ▁If ▁the ▁zeros ▁of ▁both ▁polynomials ▁lie ▁in ▁the ▁unit ▁disk , ▁then ▁the ▁zeros ▁of ▁the ▁" com position " ▁of ▁the ▁two , ▁, ▁also ▁lie ▁in ▁the ▁unit ▁disk . ▁ ▁Publications ▁ ▁References ▁ ▁External ▁links ▁ ▁Category : 1 8 7 3 ▁birth s ▁Category : 1 9 5 8 ▁death s ▁Category : Pe ople ▁from ▁H ale wood ▁Category : 1 9 th - century ▁British ▁mathemat icians ▁Category