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Tag: finite number

Mathematicians Find Hidden Structure in a Common Type of Space

IntroductionIn the fall of 2017, Mehtaab Sawhney, then an undergraduate at the Massachusetts Institute of Technology, joined a graduate reading group that set out...

How to Tame the Endless Infinities Hiding in the Heart of Particle Physics

IntroductionThe secret to fixing a fatal flaw at the heart of quantum theory may lie in three obscure textbooks from the 1980s. But physicists...

Einstein tilings – the amazing “Hat” shape that never repeats!

by Paul Ducklin Mathematics is a complex and esoteric field that underpins science and engineering, notably including the disciplines of...

Practical randomness amplification and privatisation with implementations on quantum computers

Cameron Foreman1,2, Sherilyn Wright1, Alec Edgington3, Mario Berta4,5, and Florian J. Curchod31Quantinuum, Partnership House, Carlisle Place, London SW1P 1BX, United Kingdom2Department of Computer Science,...

Coloring by Numbers Reveals Arithmetic Patterns in Fractions

IntroductionA year after he started his Ph.D. in mathematics at McGill University, Matt Bowen had a problem. “I took my qualifying exams and did...

If we live in a multiverse, where does Wally exist?

John Berney comes to the shocking conclusion that Wally may never exist either in our universe or any other ...

How Will the Universe End?

IntroductionOur universe has a beginning. And someday, it will have an end too — but which one? As the cosmos expands and the stars...

Doing More with Moore: Biotech’s Tech Moment

Eroom’s Law (the backwards Moore) is the often cited, and arguably inaccurate, observation that drug discovery gets slower and more expensive over time. It’s...

Probability and Number Theory Collide — in a Moment

IntroductionTheir ambitions were always high. When Will Sawin and Melanie Matchett Wood first started working together in the summer of 2020, they set out...

‘Nasty’ Geometry Breaks Decades-Old Tiling Conjecture

IntroductionOne of the oldest and simplest problems in geometry has caught mathematicians off guard — and not for the first time. Since antiquity, artists and...

Crash, bang: the rollercoaster physics of ultra-long financial bonds

Financial bonds are usually seen as safe and dependable investments, but a recent crash in the value of “ultra-long” bonds was...

The Simple Geometry Behind Brownie Bake Offs and Equal Areas

IntroductionGina the geometry student stayed up too late last night doing her homework while watching The Great British Bake Off, so when she finally...

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