If I publish this article, I'll probably embarrass myself in front of real scholars.
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From 《庄子·秋水》: 吾长见笑于大方之家 ('I would forever be laughed at by scholars of the great Way'). 大方 originally meant 'one who knows the great Way,' hence 'an expert.'
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Used in formal, self-deprecating speech — often when presenting one's own modest work to a knowledgeable audience. Essentially 'I'm embarrassed to show this to real experts.'