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2 weeks ago | 
quantamagazine.org | Leila Sloman
The simplest ideas in mathematics can also be the most perplexing. Take addition. It’s a straightforward operation: One of the first mathematical truths we learn is that 1 plus 1 equals 2. But mathematicians still have many unanswered questions about the kinds of patterns that addition can give rise to. “This is one of the most basic things you can do,” said Benjamin Bedert, a graduate student at the University of Oxford.
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2 weeks ago | 
flipboard.com | Leila Sloman
6 hours agoAI Models Still Struggle With Reasoning — And Here’s WhyAI models have achieved remarkable feats in the last three years. ChatGPT generates text at speed and increasingly with incredible creativity. Aiva composes music, Sora generates videos and Midjourney generates art, with many of these models even passing standardized tests.
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1 month ago | 
quantamagazine.org | Leila Sloman
To certain mathematicians — Sarnak among them — the Alon-Boppana bound was an entrancing challenge. Could they construct graphs, they wondered, that reached this limit? In a landmark paper published in 1988, Sarnak, Alexander Lubotzky and Ralph Phillips figured out how to. Using a highly technical result in number theory by the Indian math prodigy Srinivasa Ramanujan, Sarnak and his collaborators produced regular graphs that achieved the Alon-Boppana bound.
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2 months ago | 
technewstube.com | Leila Sloman
Tech News Tube is a real time news feed of the latest technology news headlines.Follow all of the top tech sites in one place, on the web or your mobile device.
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2 months ago | 
wired.com | Leila Sloman
The original version of this story appeared in Quanta Magazine. In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were relatively modest: She hoped to prove a theorem or two that would make incremental progress on the problem, as many other mathematicians had done before her. But over the years, she was drawn back to it, again and again.
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Feb 19, 2025 | 
quantamagazine.org | Leila Sloman |Richard Green |Solomon Adams
Introduction In 2003, a German graduate student named Britta Späth encountered the McKay conjecture, one of the biggest open problems in the mathematical realm known as group theory. At first her goals were relatively modest: She hoped to prove a theorem or two that would make incremental progress on the problem, as many other mathematicians had done before her. But over the years, she was drawn back to it, again and again.
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Oct 28, 2024 | 
spektrum.de | Leila Sloman
Bericht Lesedauer ca. 3 Minuten DruckenTeilen Mathematik: Zwei Schülerinnen finden »unmöglichen« Beweis zum Satz des PythagorasEs gibt hunderte Beweise für den Satz des Pythagoras. Zwei Schülerinnen präsentieren nun einen weiteren - und bedienen sich dafür der Trigonometrie. Lange Zeit galt das als unmöglich. Exklusive Übersetzung ausZwei Schülerinnen einer US-amerikanischen High-School haben den Satz des Pythagoras auf eine Weise bewiesen, die ein Mathematiker des frühen 20.
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Oct 28, 2024 | 
spektrum.de | Leila Sloman
Bericht Lesedauer ca. 3 Minuten DruckenTeilen Mathematik: Zwei Schülerinnen finden »unmöglichen« Beweis zum Satz des PythagorasEs gibt hunderte Beweise des Satzes von Pythagoras. Zwei Schülerinnen haben nun einen weiteren präsentiert, der vor 100 Jahren als unmöglich galt. Exklusive Übersetzung ausZwei Schülerinnen einer US-amerikanischen High-School haben den Satz des Pythagoras auf eine Weise bewiesen, die ein Mathematiker des frühen 20. Jahrhunderts für unmöglich hielt.
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Oct 14, 2024 | 
quantamagazine.org | Erica Klarreich |Matt von Hippel |Gregory Barber |Leila Sloman
A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture. Introduction One morning last November, the mathematician Hector Pasten finally solved the problem that had been dogging him for more than a decade by using a time-tested productivity hack: procrastination.
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Oct 5, 2024 | 
technewstube.com | Leila Sloman
What do the integers have in common with the symmetries of a triangle? In the 19th century, mathematicians invented groups as an answer to this question.
