“Adam Mosseri believes that 'fingerprinting real content' is a more viable approach than tracking AI fakes.”

“The PDE-ODI principle converts a broad class of parabolic differential equations into systems of ordinary differential inequalities.”

“The paper develops a monotone iterative technique of lower and upper solutions to investigate the existence, uniqueness and approximability of the solution for the original classical Melan equation.”

“The paper provides the first convergence guarantee for Optimistic Multiplicative Weights Update (OMWU) in NLHF, showing that it achieves last-iterate linear convergence after a burn-in phase whenever an NE with full support exists.”

“The paper reveals two types of phase transitions consistent with physical observations and proves the uniqueness of energy minimizers in specific degrees.”

“Positive attitudes toward GenAI as a coworker were strongly associated with all three factors (negative correlation), and those factors were also related to each other (positive correlation).”

“Uniqueness of the solution is established in two cases - the one-dimensional setting and the Gaussian case.”

“The paper establishes a correspondence between kernels in graph theory and specialized equilibria.”

“The model generates syntactically valid structures (100% validity achieved via rejection sampling) and 94.8% unique structures.”

“The density of the chemical substance stays bounded for all time if its initial datum is bounded. This implies a significant distinction from the classical Keller--Segel system: diffusion driven by the chemical potential gradient can prevent the formation of concentration singularities.”

“The study likely employs tools from functional analysis to establish existence, uniqueness, and regularity results for solutions.”

“The paper establishes global well-posedness and regularity for the Navier-Stokes-αβ system endowed with the wall-eddy boundary conditions.”

“The paper shows existence, smoothness, attractivity and conditional uniqueness of SSMs associated to a large class of spectral subspaces in time delay systems.”

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“The main contribution is the derivation of unified gradient estimates that connect the near-boundary and far-field regions through a characteristic length scale determined by the Robin parameter, yielding a global description of how boundary effects penetrate into the exterior domain.”

“The article's focus is on the Navier-Stokes equation: $\bu_t+(\bu\cdot\nabla)\bu=\mu\Delta{\bf u}$.”

“The research focuses on the Global Regular Solutions of the Multidimensional Degenerate Compressible Navier-Stokes Equations with Large Initial Data of Spherical Symmetry.”

“The study investigates existence, uniqueness, and time-asymptotics of regular solutions.”

“Without the full text, it's impossible to provide a specific quote. However, a relevant quote would likely discuss the mathematical properties or implications of the zeta transformation within the context of operator K-theory.”

“The article likely argues against the perceived mystery and uniqueness of deep learning.”

“It's not yet clear—but David Zvi Kalman believes an emergent Jewish AI ethics is doing something unique.”

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“The article doesn't contain a direct quote.”