The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in ...

The closest the field has come to solving the planar unit distance problem, first proposed in the 1940s, was in 1984. Now, OpenAI claims an internal model has cracked the puzzle.

A new collaboration, publication, and conversation illuminate how a new theory of reality based on consciousness will enable scientific study of the human psychedelic experience.

The GSMM Camp is a weeklong workshop that builds interdisciplinary problem-solving skills for graduate and advanced undergraduate students. Participants work in teams on mathematically rich problems ...

In a new open-access study that I published with my late colleague Kostya Trachenko from Queen Mary University of London, I propose a surprisingly simple nonlinear mathematical equation that unifies ...

Abstract: An oncological antibody-drug conjugate (ADC) is a medicine that combines the receptor-targeting property of a monoclonal antibody with the cell-killing property of a cytotoxic small molecule ...

Mathematician Will Sawin discusses his experience reviewing and refining a mathematical proof devised by OpenAI's internal ...

The Department of Engineering Sciences and Applied Mathematics (ESAM) at Northwestern University is highly interdisciplinary and focused on applications. Our faculty and students connect with ...

Using tumor growth modeling and informed neural networks as early predictive clinical endpoints. 2007 Continuous dispersion for invasive motility. 2009 Invasive growth with cell density and oxygen.

Psychedelic drug experiences are among the most fascinating but mysterious journeys of the human mind. Long the domain of ...