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Information Theory

/ˌɪnfərˈmeɪʃən ˈθiːəri/noun
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Information theory is the mathematical study of how data is quantified, stored, and communicated, focusing on concepts like entropy and information entropy to measure uncertainty and efficiency. It forms the backbone of modern digital technologies, from smartphones to the internet, by enabling error-free transmission and compression of information in an increasingly data-driven world.

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Information theory's concept of entropy, developed by Claude Shannon, not only measures uncertainty in data but also parallels the second law of thermodynamics, showing how information processing is deeply connected to physical entropy—surprisingly, this insight has even been used to explore black holes in astrophysics, as proposed by physicist John Wheeler in the 1970s.

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