Real-time Interactive Barnes-Hut N-Body Simulator. Create galaxies, apply forces, visualize spatial partitioning, parameterize simulation physics and entities, etc.

1 Warwick Mathematics Institute, The University of Warwick, Coventry, United Kingdom 2 School of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, China To ...

Abstract: In applied and numerical algebraic geometry, many problems are reduced to computing an approximation to a real algebraic curve. In order to elevate the results of such a computation to the ...

We propose the Trust Region Preference Approximation (TRPA) algorithm ⚙️, which integrates rule-based optimization with preference-based optimization for LLM reasoning tasks 🤖🧠. As a ...

Abstract: Noncommutative constraint satisfaction problems (CSPs) are higher-dimensional operator extensions of classical CSPs. Their approximability remains largely unexplored. A notable example of a ...

Institute of Mathematics, National Academy of Sciences of the Republic of Armenia, Yerevan, Armenia. Let’s start with an excursion into the two-century history of studying the classical Fourier series ...

Abstract: In this paper, we propose the Priority Facility Location Problem with Outliers (PFLPO), which is a generalization of both the Facility Location Problem with Outliers (FLPO) and Priority ...

A representation of the Ising model in a longitudinal magnetic field on a quantum computer is introduced. The ansatz of the wave function of the model for a quantum approximation optimization ...