Researchers have developed a novel algebraic model of DNA hybridization, a process central to most biotechnology devices that monitor changes in cell's gene expression or characterize a cell's genome.

Model theory offers a robust logical framework for exploring the intricacies of algebraic structures, bridging abstract logic and concrete algebraic systems. Through the examination of models – ...

In the equivariant category of spaces with an action of a finite group, algebraic 'minimal models' exist which describe the rational homotopy for G-spaces which are 1-connected and of finite type.

We show how to use the Grassmann-Cayley algebra to model systems of one, two and three cameras. We start with a brief introduction of the Grassmann-Cayley or double algebra and proceed to demonstrate ...

Nous Research's open-source Nomos 1 AI model scored 87/120 on the notoriously difficult Putnam math competition, ranking second among 4,000 human contestants with just 30 billion parameters.

The pervasive issue of unsustainable consumption demands advanced analytical tools to predict and mitigate its environmental and social impacts. This ...

Modelling large and complex energy systems is essential for the analysis and planning of future energy supply. This is very often done with the help of energy system optimisation models that are ...