Well to get to the Knoevenagel condensation (image below being that of a general case). The case is that a carbonyl compound, being either an aldehyde or a ketone, is reacted with an activated hydrogen compound having two electron withdrawing groups in the 1,3 positions making those hydrogens quite acidic. This is done under a basic catalyzed environment to deprotonate those acidic hydrogens. After this enolate is formed, it performs an aldol like reaction on the carbonyl compound alleviating a new alcohol group, which is soon dehydrated to form a pi bonded system.
Picture: Wikipedia
Ref:
Emil Knoevenagel (1898). "Condensation von Malonsäure mit Aromatiachen Aldehyden durch Ammoniak und Amine". Berichte der deutschen chemischen Gesellschaft 31 (3): 2596–2619..
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