Tootfinder

When GNNs Met a Word Equations Solver: Learning to Rank Equations (Extended Technical Report)
Parosh Aziz Abdulla, Mohamed Faouzi Atig, Julie Cailler, Chencheng Liang, Philipp R\"ummer
https://arxiv.org/abs/2506.23784

When GNNs Met a Word Equations Solver: Learning to Rank Equations (Extended Technical Report)
Nielsen transformation is a standard approach for solving word equations: by repeatedly splitting equations and applying simplification steps, equations are rewritten until a solution is reached. When solving a conjunction of word equations in this way, the performance of the solver will depend considerably on the order in which equations are processed. In this work, the use of Graph Neural Networks (GNNs) for ranking word equations before and during the solving process is explored. For this, a…

"More than 10,000 species on brink of extinction need urgent action: Study"
#Animals #Extinction

More than 10,000 species on brink of extinction need urgent action: Study
Extinction is an overwhelming concept, difficult to grasp in its enormity and finality. Thousands of species are barreling toward that grim fate, unless we help. A comprehensive new study provides the clearest picture yet of Earth’s most imperiled species, and offers evidence that conservation can work. The study published in Nature Reviews Biodiversity found that […]

Extended Non-Markovian Stochastic Schr\"odinger Equation with Complex Frequency Modes for General Basis Functions
Yukai Guo, Zeyu Huang, Xing Gao
https://arxiv.org/abs/2506.22738

Extended Non-Markovian Stochastic Schrödinger Equation with Complex Frequency Modes for General Basis Functions
We present an extended formulation of the non-Markovian stochastic Schrödinger equation with complex frequency modes (extended cNMSSE), enabling the treatment of open quantum system dynamics under general spectral densities. This extension employs complete non-exponential basis expansions for the bath correlation functions, thereby generalizing the applicability of the cNMSSE framework beyond environments with Debye-type spectral structures. By preserving the wavefunction-based description and…

Steelers signing RB Jaylen Warren to two-year contract extension https://www.nfl.com/news/steelers-signing-rb-jaylen-warren-to-two-year-contract-extension

Luka Doncic reaches 3-year, $165M extension with Lakers
#NBA #Lakers
https://www.

QCD phase transition at finite temperature and chemical potential with the non-extensive statistics
Zhi-Ying Qin, Jia-Hao Shi, Jin-Peng Zhang, Jian Cao, Bo Feng, Wen-Chao Zhang, Hua Zheng, Shi-Jun Mao
https://arxiv.org/abs/2507.00731

QCD phase transition at finite temperature and chemical potential with the non-extensive statistics
With the application of the non-extensive correction to the equation of state (EoS) in the parton (hadron resonance) gas at high (low) temperature and a smooth interpolation of these two equation of states, a non-extensive version of EoS is constructed to investigate the properties of quantum chromodynamics (QCD) phase transition at finite temperature ($T$) and chemical potential ($μ$). It is based on non-extensive statistics and characterized by a non-extensivity parameter $q$, which measures…

DaRon Bland Opens Up on Huge Contract Extension https://heavy.com/sports/nfl/dallas-cowboys/daron-bland-contract-extension-comments/?adt_ei=[email]

Steelers starting RB Warren inks 2-year extension https://www.espn.com/nfl/story/_/id/46128418/steelers-starting-rb-jaylen-warren-signs-2-year-extension

SPARSE: Scattering Poles and Amplitudes from Radial Schr\"odinger Equations
Roberto Bruschini
https://arxiv.org/abs/2507.01002 https://

SPARSE: Scattering Poles and Amplitudes from Radial Schrödinger Equations
We introduce an algorithm for the solution of a three-dimensional, two-body Schrödinger equation for scattering states. The equation is first reduced to a system of coupled radial Schrödinger equations. The system of differential equations is approximated as an ordinary linear nonhomogeneous system using the finite difference method. Dirichlet boundary conditions are imposed at the origin and at an arbitrary large radius. The physical $K$-matrix for real energies is calculated from the numeri…

Broncos, DL Zach Allen agree to terms on four-year, $102 million contract extension https://www.nfl.com/news/broncos-dl-zach-allen-agree-to-terms-on-four-year-102-million-contract-extension