Tag: arithmetic
āNastyā Geometry Breaks Decades-Old Tiling Conjecture
IntroductionOne of the oldest and simplest problems in geometry has caught mathematicians off guard ā and not for the first time.
Since antiquity, artists and...
Block-encoding dense and full-rank kernels using hierarchical matrices: applications in quantum numerical linear algebra
Quynh T. Nguyen1,2, Bobak T. Kiani1,3, and Seth Lloyd3,4,51Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, USA2Department of Physics, Massachusetts Institute...
Apple taps brake on self-driving cars, now aims for 2026
In brief Apple's plans for an autonomous vehicle are being pushed back at least one year to 2026 after Cupertino reportedly dumped its previous...
This VR Game Turns Math Into A Fun Adventure
VR technology makes learning fun. As someone who has struggled with math in the past, Iāve always appreciated edutainment solutions designed to make learning...
From Systems in Motion, Infinite Patterns Appear
IntroductionIn December 1977, a revolutionary paper quietly appeared in the Journal dāAnalyse MathĆ©matique, a specialty mathematics journal. The author, Hillel Furstenberg, did not claim...
How xarvio Digital Farming Solutions accelerates its development with Amazon SageMaker geospatial capabilities
This is a guest post co-written by Julian Blau, Data Scientist at xarvio Digital Farming Solutions; BASF Digital Farming GmbH, and Antonio Rodriguez, AI/ML...
Quantum Fully Homomorphic Encryption by Integrating Pauli One-time Pad with Quaternions
Guangsheng Ma1,2 and Hongbo Li1,31Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China2School of Mathematics and Physics, North China Electric...
AI Reveals New Possibilities in Matrix Multiplication
IntroductionMathematicians love a good puzzle. Even something as abstract as multiplying matrices (two-dimensional tables of numbers) can feel like a game when you try...
A Mathematician Dancing Between Algebra and Geometry
IntroductionLike many people who would go on to become mathematicians, Wei Ho grew up competing in math contests. In eighth grade, she won the...
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...
Towards quantum advantage via topological data analysis
Casper Gyurik1, Chris Cade2, and Vedran Dunjko1,31LIACS, Leiden University, Niels Bohrweg 1, 2333 CA Leiden, Netherlands2QuSoft, Centrum Wiskunde & Informatica (CWI), Science Park 123,...
Understanding the World Through Math
Irrespective of study paths, everyone will encounter math at some point. Little wonder, learning math for kids is a necessity right from preschool. The...