A Pyramid Inspired by Mathematics

Materials inspired by mathematics

Our world is transforming into an interacting system of the physical world and the digital world. What will be the materials science in the new era? With the rising expectations of the rapid development of computers, information science and mathematical science including statistics and probability theory, 'data-driven materials design' has become a common term. There is knowledge and experience...

Poetry Inspired by Mathematics

This article explores one of the many manifestations of the mysterious link between mathematics and poetry—the phenomenon of poetry inspired by mathematics. Such poetry responds to the mathematical concerns and accomplishments of the day, be it a ground breaking definition or technique, a long standing unsolved conjecture, or a celebrated theorem. The motivation for writing the poems, their mat...

A Cuckoo Filter Modification Inspired by Bloom Filter

Probabilistic data structures are so popular in membership queries, network applications, and so on. Bloom Filter and Cuckoo Filter are two popular space efficient models that incorporate in set membership checking part of many important protocols. They are compact representation of data that use hash functions to randomize a set of items. Being able to store more elements while keeping a reaso...

A New Mathematics - Inspired Understanding of Breathing and the Brain

Hele-Shaw Beach Creation by Breaking Waves A mathematics-inspired experiment

Fundamentals of nonlinear wave-particle interactions are studied in a Hele-Shaw configuration with wave breaking and a dynamic bed. To design this configuration, we determine, mathematically, the gap width which allows inertial flows to survive the viscous damping due to the side walls. Damped wave sloshing experiments compared with simulations confirm that width-averaged potential-flow models ...