In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last Theorem, a central problem in number theory that had remained open ...

This is a preview. Log in through your library . Abstract The logic of an "ought" operator O is contranegative with respect to an underlying preference relation ≥ ...

Calcea Johnson and Ne'Kiya Jackson, who surprised the math world when they produced innovative solutions to a 2,000-year-old puzzle, wowed the math world again when they presented several new ways of ...

In their peer-reviewed work, Calcea Johnson and Ne'Kiya Jackson present five new ways of proving Pythagoras' Theorem via trigonometry. They also detail a new method for finding proofs that yield at ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean theorem. Now, they’re unveiling 10 more. For over 2,000 years, such ...

Pythagoras Theorem: The Pythagoras Theorem is a fundamental principle in geometry, attributed to the ancient Greek mathematician Pythagoras. This theorem establishes a relationship between the sides ...

Bohr’s Model of an Atom: Danish Physicist Niels Bohr received his Ph.D. from the University of Copenhagen in 1911. In 1922, he was awarded the Nobel Prize in Physics for his work on the atom’s ...

The famous EPR article of 1935 challenged the completeness of quantum mechanics and spurred decades of theoretical and experimental research into the foundations of quantum theory. A crowning ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

ABSTRACT: In this paper along with the previous studies on analyzing the binomial coefficients, we will complete the proof of a theorem. The theorem states that for two positive integers n and k, when ...