"waving" in the noun sense
1. wave, waving, wafture
the act of signaling by a movement of the hand
"waving" in the verb sense
1. beckon, wave
signal with the hands or nod
"She waved to her friends"
"He waved his hand hospitably"
2. brandish, flourish, wave
move or swing back and forth
"She waved her gun"
3. roll, undulate, flap, wave
move in a wavy pattern or with a rising and falling motion
"The curtains undulated"
"the waves rolled towards the beach"
4. curl, wave
twist or roll into coils or ringlets
"curl my hair, please"
set waves in
"she asked the hairdresser to wave her hair"
Source: WordNet® (An amazing lexical database of English)
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