Abstract: Inspired by the idea of multiple Lyapunov functions (MLFs), we use piecewise continuous scalar functions to investigate the stabilizability of time-varying switched systems. Starting with ...

Let's delve into the fascinating world of piecewise functions, focusing specifically on those exhibiting discontinuous domains. While often perceived as complex, these functions are powerful tools for ...

Graphing a piecewise defined function might seem daunting at first, but breaking down the process into manageable steps can make it significantly easier. A piecewise function, as the name suggests, is ...

The Punjab School Education Board (PSEB) has issued the updated Class 12 Mathematics syllabus for the 2025-2026 academic year. This crucial resource for students preparing for the 2026 PSEB Class 12 ...

Estimate demand function to understand initial product pricing vs. quantity. Use derivative for the revenue equation to find marginal revenue changes. Marginal revenue derivative is a tool to guide ...

We review the methods and applications of automatic differentiation, a research and development activity, which has evolved in various computational fields since the mid 1950's. Starting from very ...

Thousands of Aussies are receiving mystery ATO deposits. Here's why ‘Came as a shock’: Tech billionaire Laurence Escalante speaks out after his arrest Relief on the horizon for south-east Australia ...

This paper covers the concept of Fourier series and its application for a periodic signal. A periodic signal is a signal that repeats its pattern over time at regular intervals. The idea inspiring is ...