It is perhaps the greatest unsolved mystery of all time: Did the lost city of Atlantis actually exist? And if it did once exist, where was it located before its watery demise? Fortunately, the ...

The Pythagorean theorem stands as one of mathematics' most enduring and practical principles. Named after the ancient Greek mathematician Pythagoras, this fundamental concept has guided engineers, ...

Ancient Indian mathematician Baudhayana was the first person to formulate a theorem on right-angled triangles that in its modern form came to be associated with Greek mathematician Pythagoras, a newly ...

Abstract: In this brief, we study the problem of controller synthesis for time-delay systems with controller failures based on an input-output approach. First, the time-delay system with controller ...

Baudhyana (represntative image (L), In Raphael's fresco The School of Athens, Pythagoras is shown writing in a book as a young man presents him with a tablet showing a diagrammatic representation of ...

Abstract: This paper first presents a general theory predicting harmonic components in naturally sampled pulse-width modulation (PWM) output signals, so that any input signal with a Fourier series ...

Prince Rupert (left) and Jakob Steininger (right) credit, released as a courtesy of Mr. Steininger A pair of European mathematicians have proven a 300-year-old inference on shapes wrong, and won a bet ...

This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...

All products featured here are independently selected by our editors and writers. If you buy something through links on our site, Mashable may earn an affiliate commission. Emma Myers and Jenna Ortega ...

Trigonometry class has tripped up generations of teenagers, yet none of its puzzles spark more head‑scratching than the classic right‑triangle riddle. The formula a² + b² = c² looks tidy on the ...

Over 120 years ago, Henry Ernest Dudeney posed the famous dissection problem of transforming a triangle into a square by cutting it into as few pieces as possible. In a new study, researchers have ...