“Grok is tapped for new military plans.”

“The paper derives bilinear tau forms of the canonically quantized Painlevé equations, relating them to those previously obtained from the $\mathbb{C}^2/\mathbb{Z}_2$ blowup relations.”

“The paper proposes a new interpretation of the algebra of line operators in this theory as a tensor product of vector representations of a quantum toroidal algebra.”

“The L-PT phase transition point is typically a critical exceptional point, where multiple collective excitation modes with zero excitation spectrum coalesce.”

“The paper establishes a correspondence between solutions of the Liouville equation and the Weierstrass representations of spacelike and timelike minimal surfaces.”

“The holographic duals are ''bubbling wormhole'' geometries: multi-covers of AdS$_5$ $ imes S^5$ whose conformal boundary consists of multiple four-spheres intersecting on a common circle.”

“The paper shows that commutative Frobenius pseudomonoids in the bicategory of spans are in correspondence with 2-Segal cosymmetric sets.”

“Each such variety is irreducible and admits a rational parametrization. The assignment is functorial: algebra quotients correspond to monomial maps among the varieties.”

“The paper focuses on Chern-Simons theory in 3D, motivated by its applications in condensed matter physics, gravity, and black hole physics, and explores its connection to asymptotic symmetries and integrable systems.”

“The paper finds that the entanglement entropy of Hawking radiation before the Page time increases with time, with the slope determined by the central charge. After the Page time, the unitarity of black hole evaporation is restored, and the entanglement entropy includes a logarithmic correction related to the central charge.”

“Convolution defines a matrix transform that preserves positivity.”

“The paper proves that the 'chordality condition' is also sufficient.”

“The paper presents the main ideas and techniques involved in the linear versions of several conjectures, including the Shafarevich conjecture and Kollár's conjecture.”

“The paper discovers novel sporadic dualities, some of which involve condensation of anyons with non-abelian statistics, i.e. gauging non-invertible one-form global symmetries.”

“The paper identifies the tangent map with the dual HKR map and proves liftability along square-zero extensions to be a derived invariant.”

“The paper proves the existence of an optimal closed-loop policy for the original MFTG when the state spaces are at most countable and the action spaces are general Polish spaces.”

“The paper proposes to use broad and narrow line emission and CGM nebulae as calorimeters of the ionising SED to trace different accretion "states".”

“”

“The GUP corrections reduce to total derivatives, preserving the absence of the Boulware-Deser ghost.”

“The paper concludes the existence of a biregular morphism between the corresponding de Rham complex structures.”

“The strong short-range spin--isospin correlations characteristic of $α$ clusters lead to a significant suppression of spin fluctuations compared to a spherical Woods--Saxon baseline with uncorrelated spins.”

“The paper proposes to leverage connections between proximal operators and Hamilton-Jacobi partial differential equations (HJ PDEs) to develop novel deep learning architectures for learning the prior.”

“The proposed method, termed Haar-tSVD, exploits a unified tensor singular value decomposition (t-SVD) projection combined with Haar transform to efficiently capture global and local patch correlations.”

“”

“The paper proves that the family of Bethe subspaces extends regularly to the minimal wonderful model of the toric arrangement.”

“The paper introduces a computationally-embedded perspective that represents an embedded agent as an automaton simulated within a universal (formal) computer.”

“The paper provides new Nahm-sum-like expressions for the characters of Virasoro minimal models and other related rational conformal field theories.”

“The paper shows that partonic entropy increases monotonically with the evolution scale.”

“The paper discusses two correspondences: one based on Hamiltonian reduction and its quantum counterpart, and another involving non-trivial dualities like Fourier and Legendre transforms.”

“”

“The paper discusses how the theory makes contact with observational data, a problem largely ignored.”

“Landauer's principle yields an operational lower bound on the dissipated heat rate set by the Shannon entropy rate of the measurement record.”

“The paper demonstrates that a Casimir-like traversable wormhole can be naturally constructed within this framework.”

“The paper instantiates arrays as comonads with state and random generators, allowing stochastic behaviour not currently supported in other known implementations.”

“The article's focus is on conjugacy, topological and homological aspects.”

“The paper shows how to construct statistical mechanical models for stabilizer circuits subject to independent Pauli errors, by mapping logical equivalence class probabilities of errors to partition functions using the spacetime subsystem code formalism.”

“The paper establishes a correspondence between the auxiliary field model of Russo and Townsend and the Ivanov--Zupnik formalism in four-dimensional electrodynamics.”

“I'm Curve Mirror. This time, I'll introduce one countermeasure to the fact that [ChatGPT] content is easily detectable.”

“The paper focuses on the Kähler-Ricci flow.”

“The article discusses the connection between quadratic band touching and nontrivial winding.”

“The paper is published on ArXiv.”

“The source is ArXiv, indicating a pre-print publication.”

“The research focuses on using a topic-informed dynamic mixture model.”

“The paper investigates if LLMs can function as implicit text-based world models.”

“”

“The research focuses on the semi-classical limit of the Dirac equation.”

“The paper originates from ArXiv, a repository for scientific papers, suggesting a focus on theoretical exploration.”

“The article likely contains specific details about the proposed mechanism, mathematical formulations, and potential observational consequences. Without the full text, a specific quote cannot be provided.”

“The article is sourced from ArXiv, indicating it's a research paper.”

“The paper leverages Zipf's Law, Heaps' Law, and Hilberg's Hypothesis.”