Abstract: The reaction theorem is applied to antenna coupling problems. It is shown that the reaction theorem can be used to calculate the mutual impedance between antennas, when the electromagnetic ...

The original version of this story appeared in Quanta Magazine. In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last ...

NASA's Hubble Space Telescope and NASA's Chandra X-ray Observatory have teamed up to identify a new possible example of a rare class of black holes. Called NGC 6099 HLX-1, this bright X-ray source ...

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 ...

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View post: Skier Front Flips Off One of Palisades Tahoe’s Most Feared Lines Dreaming of improving your ski skills and venturing into black diamond terrain? You have the right idea. Developing beyond ...

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 ...

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 ...

In a new peer-reviewed study, Ne'Kiya Jackson and Calcea Johnson outlined 10 ways to solve the Pythagorean theorem using trigonometry, including a proof they discovered in high school. When you ...

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 ...

Theorem proving in mathematics faces growing challenges due to increasing proof complexity. Formalized systems like Lean, Isabelle, and Coq offer computer-verifiable proofs, but creating these demands ...