. g ., ▁a ▁ 2 ▁dimensional ▁( 2 D ) ▁array ▁of ▁common ▁angles ). ▁The ▁exempl ary ▁pattern ▁could ▁include ▁in ▁each ▁slot ▁an ▁average ▁value ▁over ▁a ▁respective ▁vector ▁of ▁the ▁map . ▁The ▁exempl ary ▁pattern ▁could ▁include ▁in ▁each ▁slot ▁a ▁sum ▁of ▁the ▁values ▁over ▁a ▁respective ▁vector ▁of ▁the ▁map . ▁The ▁exempl ary ▁pattern ▁could ▁include ▁the ▁smallest ▁or ▁largest ▁value ▁within ▁a ▁respective ▁vector ▁of ▁the ▁map ▁or ▁could ▁be ▁a ▁difference ▁between ▁a ▁largest ▁and ▁a ▁smallest ▁value ▁within ▁the ▁respective ▁vector ▁of ▁the ▁map . ▁N umer ous ▁other ▁exempl ary ▁emb od iments ▁are ▁also ▁possible , ▁and ▁any ▁other ▁exempl ary ▁pattern ▁calculation ▁can ▁be ▁used , ▁where ▁the ▁exempl ary ▁pattern ▁includes ▁enough ▁associated ▁information ▁to ▁narrow ▁the ▁candidate ▁list , ▁while ▁om itting ▁enough ▁associated ▁information ▁that ▁the ▁un sec ured ▁pattern ▁cannot ▁or ▁cannot ▁easily ▁be ▁reverse ▁engine ered ▁into ▁a ▁matching ▁texture . If ▁the ▁user ' s ▁phone ▁has ▁been ▁reboot ed , ▁has ▁not ▁been ▁un locked ▁for ▁ 4 8 ▁hours , ▁has ▁its ▁S IM ▁card ▁removed ▁or ▁if ▁Emer gency ▁S OS ▁was ▁activ ated , ▁only ▁the ▁pass code ▁a ▁user ▁has ▁created , ▁not ▁their ▁finger print , ▁can ▁be ▁used ▁to ▁un lock ▁the ▁device , ▁or ▁during ▁other ▁specific ▁use ▁cases . ▁ ▁In ▁September ▁ 2 0 1 3 , ▁the ▁German ▁Cha os ▁Computer ▁Club ▁announced ▁that ▁it ▁had ▁by pass ed ▁Apple ' s