▁respect ▁to ▁any ▁collection ▁( poss ibly ▁infinite ) ▁of ▁closed ▁and ▁posit ively ▁separated ▁sites ▁in ▁any ▁finite - dimensional ▁e uclidean ▁space . ▁Pos it ively ▁separated ▁means ▁that ▁there ▁exists ▁a ▁positive ▁lower ▁bound ▁on ▁the ▁distance ▁between ▁any ▁two ▁sites . ▁A ▁similar ▁result ▁was ▁form ulated ▁for ▁the ▁case ▁in ▁which ▁the ▁norm ed ▁space ▁is ▁ ▁finite - dimensional ▁and ▁is ▁both ▁uniformly ▁convex ▁and ▁uniformly ▁smooth . ▁ ▁non - uni qu eness : ▁simple ▁examples ▁are ▁known ▁even ▁for ▁the ▁case ▁of ▁two ▁point ▁sites ,. ▁ ▁Comput ation ▁More ▁information ▁is ▁needed . ▁ ▁Rel ated ▁objects ▁and ▁possible ▁applications ▁In ▁addition ▁to ▁Vor ono i ▁diag rams , ▁zone ▁diag rams ▁are ▁closely ▁related ▁to ▁other ▁geometric ▁objects ▁such ▁as ▁double ▁zone ▁diag rams , ▁tr is ectors , ▁k - sect ors , ▁m oll ified ▁zone ▁diag rams ▁and ▁as ▁a ▁result ▁may ▁be ▁used ▁for ▁solving ▁problems ▁related ▁to ▁robot ▁motion ▁and ▁V L SI ▁design ,. ▁ ▁References ▁ ▁Category : Di agr ams <0x0A> </s> ▁Frank ▁Cooper ▁may ▁refer ▁to : ▁▁ ▁Frank ▁B . ▁Cooper ▁( 1 8 5 5 – 1 9 3 0 ), ▁American ▁education ▁administrator , ▁super int endent ▁of ▁Seattle ▁Public ▁School s , ▁ 1 9 0 1 – 1 9 2 2 ▁ ▁Frank ▁Cooper ▁( polit ician ) ▁( 1 8 7 2 – 1 9 4 9 ), ▁Premier ▁of ▁Queensland , ▁ 1 9 4 2 –