Part 1: W. Heisenberg developed the famous uncertainty principle, which has profoundly impacted
various fields, including science, industry, and social life. In our work on chaos research, we
propose an uncertainty principle specifically for chaos, focusing on two key characteristics: alpha
unpredictability and Lorenz sensitivity.

Part 2: We will explore the fundamental aspects of differential equations with a generalized piecewise-
constant argument. We will compare these aspects with those of smooth ordinary differential
equations, discussing a wide range of applications related to industrial and real-world problems.