Recognized by the public; unanimously acknowledged
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No. 3
He acknowledged the city's first citizen
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No. 4
Recognized by the public, everyone recognized. Mao Zedong's "Enhancing the Party's unity, inherited the party's traditional": "Our party is a great, glorious and correct party, which is recognized around the world." Xu Chi, "Goldbach's Conjecture": "This paper has been has been recognized by the international mathematical community, world-famous the world. "
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English Expression
n.: legalization, recognition, by common consent (=with one consent), be generally acknowledged
v.: legalize, publicly known (to be), accepted (as)