If you’re a hacker you may well have a passing interest in math, and if you have an interest in math you might like to hear about the direction of mathematical research. In a talk on this topic [Kevin ...
Artificial intelligence is increasingly being used as a collaborator in mathematical research rather than simply a ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...
The aim of this course is to introduce mathematical modeling to students interested in applied mathematics. The intended audience are undergraduate seniors in applied mathematics or 1st year graduate ...
Mathematics is the foundation of countless sciences, allowing us to model things like planetary orbits, atomic motion, signal frequencies, protein folding, and more. Moreover, it’s a valuable testbed ...
A dominant view in science is that there is a mathematical truth structuring the universe. It is assumed that the scientist's job is to decipher these mathematical relations: once understood, they can ...
Mathematical models have become an integral part of cancer biology. They are useful tools for deriving a mechanistic understanding of dynamic processes in cancer. The somatic evolutionary process, ...
Mining is one of the industries that’s helped by mathematical modelling: models can predict ceiling collapses and keep miners safe. Sunshine Seeds/Shutterstock/For editorial use only Imagine dropping ...
The internal clock in living beings that regulates sleeping and waking patterns -- usually called the circadian clock -- has often befuddled scientists due to its mysterious time delays. Molecular ...
For all the advances in computer power of recent years, many real-world processes are still so complex that they defy the capability of even the most advanced supercomputers to describe them - and to ...
Three-dimensional snowflakes can now be grown in a computer using a program developed by mathematicians at UC Davis and the University of Wisconsin-Madison. No two snowflakes are truly alike, but they ...
By expanding dynamical systems theories to account for forgetting rates, attraction levels, and reaction patterns, math can ...
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