Control systems exercise: find the percent overshoot of the system with the given transfer function. A second-order system doesn’t always settle smoothly. In many real-world systems, the output temporarily exceeds its final value before settling — a phenomenon known as percent overshoot. Why does this matter? Because overshoot isn’t just a mathematical quantity. In practical applications, excessive overshoot can lead to mechanical stress, voltage spikes, temperature excursions, or reduced passen

The Sound of Functions: Exploring Mathematical Patterns

If time is paused, the environment instantly becomes uninhabitable because the physical mechanics of the universe require time to function. Because light requires time to travel, suspended photons would never reach your retinas, resulting in absolute blindness. Similarly, sound is a mechanical wave that relies on the physical collision of atoms to propagate; without this movement, the atmosphere remains completely silent. Respiration would also fail, as the kinetic motion of oxygen molecules is

Infinite Rotten Apple Loop 🍎♾️ What looks like a simple rotten apple hides an entire microscopic world. This video starts on a fungal lesion, zooms through real fungal hyphae observed under the microscope, then travels all the way out to a map before seamlessly returning to where it began. No AI-generated imagery was used. Every scene in this video is real, captured through a combination of macro photography, microscopy, and satellite imagery. Can you spot where the loop begins? 👀 #infinite #l

Human vs Nature: Pollen on a 20-Year-Old CPU

Humans share about 60% of their DNA with bananas. | dna