Once per turn, during the Main Phase (Quick Effect): You can banish both this face-up card from the field and 1 random card from your opponent's hand, face-up, until your next Standby Phase.
Adamancipator Analyzer has the effect:
If only your opponent controls a monster: You can Special Summon this card from your hand.
So say my opponent has more than 1 copy of Adamancipator Analyzer in hand, and activates the effect of one of them to special summon itself from the hand. Then I chain Psy-Framelord Omega or Introduction to Gallantry to rip a random card from his hand.
If the ripped card ends up being one of those Adamancipator Analyzers, how will we be able to know if it's the one that activated its effect or if it's the one that didn't activate its effect? If the ripped monster is the one that activated its effect, the effect that activated will resolve without special summoning anything, but if the monster is the one that didn't activate its effect, the one that did activate its effect will resolve successfully and special summon itself.