Algebraic structures and state theory represent a confluence of abstract algebra and logic, where the former provides a rigorous framework for describing systems such as BL-algebras, residuated ...

Let $Z/n$ denote the integers $\operatorname{mod} n$ and let $\mathscr{F}_n$ denote the finite Fourier transform on $L^2(Z/n)$. We let $\bigoplus\Sigma \mathscr{F}_n ...

This is a preview. Log in through your library . Abstract Let M be a complex function space containing constants, and let Z be the complex state space of M. If M is linearly isometric to a uniform ...

When particle physicists try to model experiments, they confront an impossible calculation — an infinitely long equation that lies beyond the reach of modern mathematics. Fortunately, they can ...

Brains of healthy rats that are the same age share many features, such as similar numbers and types of neurons present in the six layers of the cortex. But how do neurons exchange information? Which ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of recent work by the ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...