▁below , ▁no ▁attempt ▁is ▁made ▁here ▁to ▁present ▁ins ights ▁from ▁these ▁papers . ▁The ▁emphas is ▁is ▁not ▁upon ▁el uc id ation ▁of ▁the ▁ ▁concepts ▁of ▁info - g ap ▁theory , ▁but ▁upon ▁the ▁context ▁where ▁it ▁is ▁used ▁and ▁the ▁goals . ▁ ▁Engineering ▁ ▁A ▁typical ▁engineering ▁application ▁is ▁the ▁v ibration ▁analysis ▁of ▁a ▁crack ed ▁beam , ▁where ▁the ▁location , ▁size , ▁shape ▁and ▁orientation ▁of ▁the ▁crack ▁is ▁unknown ▁and ▁greatly ▁influence ▁the ▁v ibration ▁dynamics . ▁Very ▁little ▁is ▁usually ▁known ▁about ▁these ▁spatial ▁and ▁geomet rical ▁un cert aint ies . ▁The ▁info - g ap ▁analysis ▁allows ▁one ▁to ▁model ▁these ▁un cert aint ies , ▁and ▁to ▁determine ▁the ▁degree ▁of ▁robust ness ▁- ▁to ▁these ▁un cert aint ies ▁- ▁of ▁properties ▁such ▁as ▁v ibration ▁amplitude , ▁natural ▁frequencies , ▁and ▁natural ▁modes ▁of ▁v ibration . ▁Another ▁example ▁is ▁the ▁struct ural ▁design ▁of ▁a ▁building ▁subject ▁to ▁uncertain ▁loads ▁such ▁as ▁from ▁wind ▁or ▁earth qu akes . ▁The ▁response ▁of ▁the ▁structure ▁depends ▁strongly ▁on ▁the ▁spatial ▁and ▁temporal ▁distribution ▁of ▁the ▁loads . ▁However , ▁storm s ▁and ▁earth qu akes ▁are ▁highly ▁id ios ync r atic ▁events , ▁and ▁the ▁interaction ▁between ▁the ▁event ▁and ▁the ▁structure ▁involves ▁very ▁site - specific ▁mechanical ▁properties ▁which ▁are ▁rarely ▁known . ▁The ▁info - g ap ▁analysis ▁enables ▁the ▁design ▁of ▁the ▁structure ▁to ▁enh ance ▁struct ural ▁imm unity ▁against ▁uncertain