“Not saying that its better than anything else, this just hits whatever switch it needs to hit.”

“Coding agents cross a meaningful threshold with Opus 4.5.”

“"ChatGPT Health is a dedicated experience that securely connects your health data and apps, with privacy protections and a physician-informed design."”

“AI memory actively connects everything. mention chest pain in one chat, work stress in another, family health history in a third - it synthesizes all that. that's the feature, but also what makes a breach way more dangerous.”

“It's been having serious problems for days... It's unable to access its own internal knowledge or autonomously access files uploaded to the chat... It even hallucinates terribly and instead of looking at its files, it connects to Google Workspace (WTF).”

“The paper formulates the covariant hydrodynamics equations as an intersection problem on an infinite dimensional symplectic manifold associated with spacetime.”

“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 demonstrates that the most general inertial transformation which further preserves the speed of light in all directions is, however, still affine linear.”

“The basic inequality upper bounds f(θ_T)-f(z) for any reference point z in terms of the accumulated step sizes and the distances between θ_0, θ_T, and z.”

“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 state transfer fidelity reaches 98.2% for quantum states encoded in the first two energy levels, achieving a Bell state fidelity of 92.5%.”

“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 introduces computational deficiency ($δ_{\text{poly}}$) and the class LeCam-P (Decision-Robust Polynomial Time).”

“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 number of crack spikes increases with the viscosity of the subphase.”

“The eigenfunctions admit an expansion with universal coefficients so that the dependence on the twist $a$ is hidden only in these ground state eigenfunctions, and we suggest a general formula that allows one to construct these eigenfunctions from non-symmetric Macdonald polynomials.”

“The paper describes the structure of the twisted Jacquet module π_{N,ψ} of π with respect to N and a non-degenerate character ψ of N.”

“The paper shows a relation to Hurwitz numbers which count ramified coverings of certain type.”

“The paper obtains mean-field analogues of momentum distribution formulas for electron gas in high density and metallic density limits, and applies to a general class of singular potentials.”

“The paper provides a necessary and sufficient condition for the incenter of a given n-simplex with k-rational vertices to be k-rational.”

“The paper derives a third-order linear differential equation for the partition function, a key result.”

“The resistance associated with spin decoherence is governed by the order parameters of magnetic materials, such as the magnetization in ferromagnets and the Néel vector in antiferromagnets.”

“The paper analyzes the self-orthogonality in the vicinity of an EP and the Berry phase.”

“The paper's core argument is that gauge theory and integrability are complementary manifestations of a shared coherence principle, an ongoing journey from gauge symmetry toward mathematical unity.”

“The three-axis framework reproduces the known N^(-2/3) scaling of one-axis twisting and the Heisenberg-limited N^(-1) scaling of two-axis twisting, while allowing additional tunability and enhanced entanglement generation in low-spin systems.”

“The construction makes it possible to design infinite families of graphs on which exact and stable completion is possible for every fixed rank matrix through the sum-of-squares hierarchy.”

“The paper initiates the study of these processes, state some theorems and several intriguing conjectures found by computations of the finite Markov chain.”

“Backpropagation arises as the differential of a KL projection map on a delta-lifted factorization.”

“Using number-theoretic methods, we completely classify these obstructions in the codimension three case revealing some delicate connections between Betti tables, commutative algebra and classical Diophantine equations.”

“The paper formulates a gauge-invariant expression for the orbital magnetic octupole moment and links it to a higher-rank Hall response induced by spatially nonuniform electric fields.”

“The combined effect of the magnetic field and the TsT deformation singles out the special value k = -1/H. At this point, the perpendicular modes are restored.”

“The paper proves that the unreduced singular instanton homology has 2-torsion for any null-homologous fibered knot (except for a specific case) and provides a formula for calculating it.”

“If a reflexive sheaf $\mathcal{E}$ on a log terminal Kähler-Einstein variety $(X,ω)$ is slope stable with respect to a singular Kähler-Einstein metric $ω$, then $\mathcal{E}$ admits an $ω$-admissible Hermitian-Yang-Mills metric.”

“The paper establishes congruences modulo p^3 and p^4 for sums of the form ∑(2k+1)^(2a+1)ε^k T_k(b,c)^4 / d^(2k).”

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

“The paper envisions up to 1 Tbps per link, aggregate throughput up to 10 Tbps via spatial multiplexing, sub-50 ns single-hop latency, and sub-10 pJ/bit energy efficiency over 20m.”

“The model's distinctive feature is the direct connection between the dark sector and leptogenesis, providing a unified explanation for both the matter-antimatter asymmetry and DM abundance.”

“A first-order chiral phase transition may occur during inflation or at its end when the axial chemical potential is sufficiently large and crosses the critical line.”

“The paper constructs critical stable envelopes and establishes their general properties, including compatibility with dimensional reductions, specializations, Hall products, and other geometric constructions.”

“The paper derives a fundamental identity that connects the (path-) derivative of a (possibly) non-Euclidean energy score to the score of the noisy marginal.”

“The paper identifies quantum geometric bounds for observables in non-Hermitian systems and showcases these findings in topological systems with non-Hermitian Chern numbers.”

“The paper defines a non-compact 3-dimensional TQFT from the data of a (potentially) non-semisimple modular tensor category.”

“The paper systematically synthesizes interdisciplinary knowledge of memory, connecting insights from cognitive neuroscience with LLM-driven agents.”

“The Rashomon phenomenon can be understood as a failure of gluing: local descriptions over different contexts exist, but they do not admit a single global ``all-perspectives-at-once'' description.”

“「VAIO Vision+ 14」は14インチ以上で世界最軽量のモバイルディスプレイで、電源コード不要でUSBケーブル1本で接続するだけで使うことができます。”

“The paper highlights the scaling hypothesis for loop-length distributions, the emergence of critical exponents $τ=15/7$, $d_f=7/4$, and $σ=3/7$ in several universality classes.”

“The Clifford entropy vanishes if and only if a unitary is Clifford.”

“The paper introduces 'graph-restricted tensors' and demonstrates their utility in constructing non-stabilizer tensors for holographic models.”

“A simple dynamic Graph Neural Network (GNN) is representative enough to outperform LLMs in debugging tabular log.”