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Math That Connects Where We’re Going to Where We’ve Been | Quanta Magazine

IntroductionSay you’re at a party with nine other people and everyone shakes everyone else’s hand exactly once. How many handshakes take place? This is the...

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What Makes for ‘Good’ Mathematics? | Quanta Magazine

IntroductionWe tend to think of mathematics as purely logical, but the teaching of math, its values, its usefulness and its workings are packed with...

Train and host a computer vision model for tampering detection on Amazon SageMaker: Part 2 | Amazon Web Services

In the first part of this three-part series, we presented a solution that demonstrates how you can automate detecting document tampering and fraud at...

How to Build an Origami Computer | Quanta Magazine

IntroductionIn 1936, the British mathematician Alan Turing came up with an idea for a universal computer. It was a simple device: an infinite strip...

The Quest to Decode the Mandelbrot Set, Math’s Famed Fractal | Quanta Magazine

IntroductionIn the mid-1980s, like Walkman cassette players and tie-dyed shirts, the buglike silhouette of the Mandelbrot set was everywhere. Students plastered it to dorm room...

The Theorist Who Sees Math in Art, Music and Writing | Quanta Magazine

IntroductionSarah Hart has always had an eye for the covert ways mathematics permeates other fields. As a child, she was struck by the ubiquity...

Generalization despite overfitting in quantum machine learning models

Evan Peters1,2,3 and Maria Schuld41Department of Physics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada2Institute for Quantum Computing, Waterloo, ON, N2L 3G1, Canada3Perimeter...

A Close-Up View Reveals the ‘Melting’ Point of an Infinite Graph | Quanta Magazine

IntroductionIn 2008, the mathematician Oded Schramm died in a hiking accident in the Cascade mountains some 50 miles east of Seattle. Though he was...

Digital Discovery of 100 diverse Quantum Experiments with PyTheus

Carlos Ruiz-Gonzalez1, Sören Arlt1, Jan Petermann1, Sharareh Sayyad1, Tareq Jaouni2, Ebrahim Karimi1,2, Nora Tischler3, Xuemei Gu1, and Mario Krenn11Max Planck Institute for the Science...

Understanding the interplay of entanglement and nonlocality: motivating and developing a new branch of entanglement theory

David Schmid1,2,3, Thomas C. Fraser1,2, Ravi Kunjwal4, Ana Belen Sainz3, Elie Wolfe1, and Robert W. Spekkens11Perimeter Institute for Theoretical Physics, 31 Caroline Street North,...

The Astonishing Behavior of Recursive Sequences | Quanta Magazine

IntroductionIn mathematics, simple rules can unlock universes of complexity and beauty. Take the famous Fibonacci sequence, which is defined as follows: It begins with...

Robust Extraction of Thermal Observables from State Sampling and Real-Time Dynamics on Quantum Computers

Khaldoon Ghanem, Alexander Schuckert, and Henrik DreyerQuantinuum, Leopoldstrasse 180, 80804 Munich, GermanyFind this paper interesting or want to discuss? Scite or leave a comment...

The Hidden Connection That Changed Number Theory | Quanta Magazine

IntroductionThere are three kinds of prime numbers. The first is a solitary outlier: 2, the only even prime. After that, half the primes leave...

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