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This article comprehensively examines various methods for outputting information to the standard error stream (stderr) in Python, including sys.stderr.write(), the print function with file parameter, and custom eprint function. Through comparative analysis of different approaches, it emphasizes the recommended custom eprint function solution based on the print function, which combines simplicity, readability, and cross-version compatibility. The article also delves into differences between methods in Python 2 and Python 3, along with practical application scenarios.