▁sum ▁( den oted ▁by ▁) ▁of ▁ ▁and ▁. ▁By ▁self - similar ity , ▁there ▁are ▁scale d ▁versions ▁ ▁of ▁ ▁and ▁by ▁comple ten ess ▁one ▁has ▁ ▁thus ▁the ▁set ▁ ▁is ▁a ▁count able ▁complete ▁orth on ormal ▁wave let ▁basis ▁in ▁. ▁ ▁See ▁also ▁Mult isc ale ▁model ing ▁Sc ale ▁space ▁Time – fre quency ▁analysis ▁W ave let ▁ ▁References ▁▁▁▁▁▁▁ ▁Crow ley , ▁J . ▁L ., ▁( 1 9 8 2 ). ▁A ▁Represent ations ▁for ▁Visual ▁Information , ▁Doctor al ▁Th esis , ▁Car neg ie - M ell on ▁University , ▁ 1 9 8 2 . ▁▁▁▁▁ ▁Category : Time – fre quency ▁analysis ▁Category : W ave lets <0x0A> </s> ▁The ▁BB VA ▁Foundation ▁Front iers ▁of ▁Know ledge ▁Awards , ▁Prem ios ▁Fund ación ▁BB VA ▁F ron ter as ▁del ▁Con oc imiento , ▁in ▁Spanish , ▁are ▁an ▁international ▁award ▁programme ▁recogn izing ▁significant ▁contributions ▁in ▁the ▁areas ▁of ▁scientific ▁research ▁and ▁cultural ▁creation . ▁The ▁categories ▁that ▁make ▁up ▁the ▁Front iers ▁of ▁Know ledge ▁Awards ▁respond ▁to ▁the ▁knowledge ▁map ▁of ▁the ▁present ▁age . ▁As ▁well ▁as ▁the ▁fundamental ▁knowledge ▁that ▁is ▁at ▁their ▁core , ▁they ▁address ▁develop ments ▁in ▁information ▁and ▁communication ▁techn ologies , ▁and ▁interactions ▁between ▁bi ology ▁and ▁medicine , ▁e col ogy ▁and ▁conservation ▁bi ology , ▁climate ▁change , ▁econom ics , ▁human ities ▁and ▁social ▁sciences , ▁and , ▁finally , ▁contemporary ▁musical