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Shannon Entropy in Text Compression

#information-theory #compression #linguistics #math

Explore the theoretical limits of lossless text compression based on information theory.

Explain the theoretical boundaries of lossless text compression based on Shannon's source coding theorem. Discuss how the entropy of a natural language corpus relates to the minimum possible average code length. Provide a mathematical derivation of how redundancy in text allows for compression, and discuss the theoretical implications of a text corpus having maximum entropy.