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Longman Dictionary of Contemporary English
scrambled egg
noun
EXAMPLES FROM CORPUS
▪ Her brain felt like scrambled egg.
Wiktionary
scrambled egg

n. 1 Singular of '''scrambled eggs'''. 2 (context British slang English) The gold braid worn on the cap of an officer in the armed forces.

WordNet
scrambled egg

n. eggs beaten and cooked to a soft firm consistency while stirring

Wikipedia
Scrambled egg (uniform)

Scrambled eggs ( American English) or scrambled egg ( British English) is a slang term for the typically leaf-shaped embellishments found on the visors of peaked caps worn by military officers and (by metonymy) for the senior officers who wear them. The phrase is derived from the resemblance that the emblems have to scrambled eggs, particularly when the embellishments are gold in color.

Today the "scrambled eggs" emblem, in one form or another, have been adopted by the majority of the world's navies. Exceptions include the French Navy and Italian Armed Forces, which use embroideries on the officers' cap bands to indicate seniority. Although the use of the term is principally military, some civilians (such as airline and merchant ship captains and (primarily in the United States) senior uniformed law enforcement officers) have similar embellishments on the peaks or visors of their hats.