By exploring positive geometry, mathematicians are revealing hidden shapes that may unify particle physics and cosmology, ...

How can the tiniest particles and the vast structure of the universe be explained using the same kind of mathematics? This ...

Scott W. Brown, Hyponormal Operators with Thick Spectra have Invariant Subspaces, Annals of Mathematics, Vol. 125, No. 1 (Jan., 1987), pp. 93-103 ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same ...

LÁSZLÓ ZSIDÓ, INVARIANT SUBSPACES OF COMPACT PERTURBATIONS OF LINEAR OPERATORS IN BANACH SPACES, Journal of Operator Theory, Vol. 1, No. 2 (Spring 1979), pp. 225-260 ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question ...

For each quantizer, we derive rigorous high probability bounds for the distances between the true and estimated signal subspaces and DOA angles. Using our analysis, we identify scenarios in which ...

Feynman integrals are therefore closely connected to generalized Euler integrals, specifically through restrictions to the relevant geometric subspaces.

A novel dynamic inner manifold learning algorithm based on forward selection component variables (FSV-DiML) is proposed for industrial process monitoring. The method begins with forward selection ...

Low-rank adapters have become a standard approach for efficiently fine-tuning large language models (LLMs), but they often fall short of achieving the performance of full fine-tuning. We propose a ...