My plan to expand my skills in Automation

Hints on what to download, and where to go to enable trial license of TIA-Portal

This note gives a geometric, engineer-friendly view of nonlinear optimization and shows how the Lagrangian turns “constraints plus objective” into a single analytical object. Along the way, it builds up the ideas of Lagrange multipliers and KKT conditions step by step, so you can see them as sensitivity measures and practical optimality checks rather than abstract math.

TLDR : This note introduces quaternions as the natural 4D extension of complex numbers for handling 3D rotations, starting from the familiar 2D case. It shows how to build rotation quaternions and apply them to vectors, giving you a clean, mathematically sound way to represent orientations and rotations in 3D space without relying on Euler angles.

This note shows how to use quaternions to track a drone’s 3D orientation in a clean, implementation‑friendly way, starting from gyroscope data and then correcting drift with the accelerometer (and later the magnetometer). It walks through the math and the approximations step by step, so you can turn raw IMU readings into a stable attitude estimate that actually runs on an embedded controller.

This note walks through a practical way to deploy a Hugo website from your development PC to a live server, using GitHub as the bridge and automation layer. It helps you put in place a clean workflow for building locally, versioning your site, and pushing updates to production with as little manual work as possible.