👉 Channel math is a branch of mathematics that focuses on the study of discrete structures, particularly those defined by sequences of values or states, known as channels. These channels can represent various processes, such as data transmission, neural networks, or automata, and are often studied in terms of their input, output, and internal state transitions. The core idea revolves around understanding how information flows through these systems, how they can be modeled using algebraic or combinatorial structures, and how their properties, like stability, convergence, or complexity, can be analyzed. Channel math employs tools from abstract algebra, combinatorics, and category theory to investigate these discrete systems, providing insights into their behavior and potential applications in fields like computer science, cryptography, and theoretical physics.