For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...

Light is usually described using quantum mechanics when phenomena like entanglement enter the picture. But a new paper shows ...

Brett McGurk is a CNN global affairs analyst who served in senior national security positions under Presidents George W. Bush, Barack Obama, Donald Trump and Joe Biden. One year ago this week, Joe ...

Clay Halton was a Business Editor at Investopedia and has been working in the finance publishing field for more than five years. He also writes and edits personal finance content, with a focus on ...

Caroline Banton has 6+ years of experience as a writer of business and finance articles. She also writes biographies for Story Terrace. Robert Kelly is managing director of XTS Energy LLC, and has ...

Abstract: The term substitution theorem is a vital theorem in mathematical logic that concerns the replacement operation of variables within terms. In this study, we present a comprehensive ...

Functions and modules for creating hinges and snap-locking hinged parts. Construct standard knuckle hinge in two parts using a hinge pin that must be separately supplied, or a print-in-place knuckle ...

The proof combines 4 foundational pillars with 6 deductive theorems.