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

A week after OpenAI made headlines with an A.I.-generated proof, a new “declaration” by 16 experts raises concerns that the ...

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 ...

The controller handles incoming requests and puts any data the client needs into a component called a model. When the controller's work is done, the model is passed to a view component for rendering.

In addition to ascertaining that the internal vitality of the mathematical sciences is excellent, as illustrated in Chapter 2, the current study found a striking expansion in the impact of the ...

In a landmark study, OpenAI researchers reveal that large language models will always produce plausible but false outputs, even with perfect data, due to fundamental statistical and computational ...

A Google DeepMind researcher and OpenAI’s former CTO are posing questions about the validity of OpenAI’s claim about its gold-medal score. OpenAI’s latest model has achieved a gold-level score at the ...

This Collection is focused on hybrid biological models, bioinformatics, and epidemiological models. It maximizes reader understanding of control, optimization, and applications of complex biological ...

Since the start of the 20th century, the heart of mathematics has been the proof — a rigorous, logical argument for whether a given statement is true or false. Mathematicians’ careers are measured by ...

A very simple language model based on counting consecutive tokens. Train a model for four-digit addition. Triangle-free graphs: Train a model to generate triangle-free graphs. Note: you can safely ...

ABSTRACT: This work focuses on the development and analysis of a financial system using advanced mathematical modeling techniques. Starting from an ordinary financial system, we extend it to a ...

The formula, developed by a URV research team, accurately describes the movement patterns of people. The results have been published in the journal Nature Communications How many people will travel ...