From 5f5ee2b39501b52645f6bd32934289a78e57e539 Mon Sep 17 00:00:00 2001 From: eneller Date: Mon, 3 Nov 2025 11:06:19 +0100 Subject: [PATCH] minor updates --- compression.tex | 2 ++ correction.tex | 2 ++ crypto.tex | 2 ++ entropy.tex | 10 ++++++++++ 4 files changed, 16 insertions(+) diff --git a/compression.tex b/compression.tex index e69de29..9526430 100644 --- a/compression.tex +++ b/compression.tex @@ -0,0 +1,2 @@ + +Compression codes (theorems: Kraft, Shannon-Fano, Huffman, arithmetic and LZW code) diff --git a/correction.tex b/correction.tex index e69de29..8fe50bd 100644 --- a/correction.tex +++ b/correction.tex @@ -0,0 +1,2 @@ + +Error correction codes (theorems: Hamming condition, Varsham-Gilbert) diff --git a/crypto.tex b/crypto.tex index e69de29..98e043b 100644 --- a/crypto.tex +++ b/crypto.tex @@ -0,0 +1,2 @@ + +Cryptography: DES, AES and RSA diff --git a/entropy.tex b/entropy.tex index 7ef7fce..b1b7d67 100644 --- a/entropy.tex +++ b/entropy.tex @@ -355,6 +355,16 @@ Shannon’s theorem is not constructive as it does not provide an explicit metho but it guarantees their existence. In practice, structured codes such as Hamming and Reed–Solomon codes are employed to approach channel capacity. +\section{Conclusion} +\section{Conclusion} +Entropy provides a fundamental measure of uncertainty and information, +bridging concepts from thermodynamics to modern communication theory. + +Beyond the provided examples, the concept of entropy has far-reaching applications in diverse fields: +from cryptography, where it quantifies randomness and security, +to statistical physics, where it characterizes disorder in complex systems, +to biology, connecting molecular information and population diversity. + \printbibliography \end{document} \ No newline at end of file