TITLE:
A Reexamination of Continuous Shannon Entropy
AUTHORS:
Pirooz Mohazzabi, Nathan Hugh Jones
KEYWORDS:
Shannon, Entropy, Discrete, Continuous, Differential
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.14 No.3,
March
9,
2026
ABSTRACT: Extension of discrete Shannon entropy to continuous or differential entropy is reexamined. It is shown that the differential entropy, which is applied in many fields, is not the direct limit of discrete entropy, which is also responsible for its shortcomings.