“English is her second language so she prefers ChatGPT's language translation and it's important to her to communicate fluidly as she takes college level art courses with a basic fluency.”

“Yes, when typing an actual string it tends to show relevant results first, but in a way that is absolutely useless to retrieve actual info, especially from older chats.”

“This change itself is undoubtedly positive.”

“I’m working on a system where Gemini responds to the user’s activity using voice only feedback. Challenges are reducing latency and responding to changes in user activity/interrupting the current audio flow to keep things fluid.”

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

“The gradient expansion includes an unexpected zeroth order term depending on the differences between thermo-hydrodynamic fields at the decoupling and the initial hypersurface. This term encodes a memory of the initial state...”

“The formation of secondary and tertiary vortices coincides with transient increases in kinetic energy, a behavior absent in the Newtonian case.”

“The nonlinear coefficient λ provides accurate control of this periodicity: a positive λ stretches the region, while a negative λ compresses it.”

“The study employs cross-spectral analysis techniques to characterize the coherent dynamics of the flow, providing insight into the influence of geometry on unsteady swirl dynamics.”

“The paper demonstrates a proof-of-concept generative surrogate for reconstructing coherent turbulent dynamics between sparse snapshots.”

“The paper proves a new BD entropy inequality for a class of non-isentropic compressible fluids and shows the "viscous shallow water system with transport entropy" will admit global classical solutions for arbitrary large initial data to the spherically symmetric initial-boundary value problem in both two and three dimensions.”

“The study substitutes thermal diffusion with mass diffusion and extends the usual scheme of mass diffusion to comprehend also the anomalous phenomena of superdiffusion or subdiffusion.”

“The model successfully predicted drag reduction rates ranging from $-1\%$ to $86\%$, with a mean absolute error of 9.2.”

“The paper establishes the existence of weak steady solutions and provides a necessary and sufficient condition for nontrivial translational or rotational motion.”

“The paper states: "This represents the first time that itinerant many-body systems have been prepared from rearranged atoms, opening the door to bottom-up assembly of a wide range of neutral-atom and molecular systems."”

“The best design features stationary thick end plates, a chord-to-radius ratio of 0.65, and a large pitching amplitude of 40 degrees. It achieves a hovering efficiency of 0.72 with a blade aspect ratio of 3, which is comparable to that of helicopters.”

“The backreaction introduces spacetime dependent mass and increases the UV divergence of the equal position correlation function.”

“Particles are created on the light cone and remain causally connected, with their apparent simultaneity being illusory.”

“The article likely discusses the potential benefits of quantum machine learning in this specific context, such as improved computational efficiency or accuracy compared to classical methods.”

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“Inelastic dilation causes mostly notable depressurization within 1 to 2 km off the fault at shallow depths (< 3 km).”

“The lower-porosity medium produces higher local and surface-averaged Nusselt numbers.”

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“The charm production rate decreases monotonically across all medium formulations.”

“The results confirm the high-order accuracy of the model through convergence studies and demonstrate a substantial speed-up over low-order numerical schemes.”

“The algorithm consistently achieves lower error than the fluid-based method, and even one order of magnitude lower in a fusion-relevant test case. Moreover, the algorithm exhibits a significant speedup compared to the reference kinetic MC method.”

“The model inherently captures the transition from elastic response to viscous flow following Bingham rheology, and vice versa, enabling accurate prediction of flow cessation without ad-hoc criteria.”

“The reduced-order model preserves a semi-discrete energy balance inherited from the full-order model, and avoids the need for additional interface enrichment.”

“The study finds that lower J values lead to greater unsteadiness and larger Rayleigh-Taylor waves, while higher J values result in decreased unsteadiness and smaller, more regular Rayleigh-Taylor waves.”

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“The model couples a fluid field comprising both Newtonian and Oldroyd-B fluids, a surface concentration field representing the multicomponent distribution on the vesicle membrane, and a phase-field variable governing the membrane evolution.”

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“Our results mathematically characterize the background magnetic field exerts the stabilizing effect, and bridge the gap left by previous work with respect to the asymptotic behavior in time.”

“The model yields classical analogues to de Broglie wavelength, the Einstein-Planck relation, the Born rule and the uncertainty principle.”

“The length of the plasma column exhibits an inverse relationship with the electron-neutral collision frequency, indicating the significance of collisional damping in the propagation of energetic electrons.”

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“The paper derives SINR expressions and a closed-form uplink SE expression, and proposes an alternating-optimization framework to select FA port configurations that maximize the uplink sum SE.”

“The method just relies on a sparse-matrix vector product where only vectors change on time.”

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“The main goal is to prove the (subsequence) convergence of the proposed numerical method to a large-data global weak solution in two dimensions, without relying on cut-offs or additional regularization.”

“During a seven-nation polar exercise in Canada earlier this year to test equipment worth millions of dollars, the U.S. military's all-terrain arctic vehicles broke down after 30 minutes because hydraulic fluids congealed in the cold.”

“The study reveals a transition from a single axisymmetric vortex ring to azimuthally unstable, multi-vortex structures as film thickness decreases.”

“The paper introduces a novel subgrid characteristic length derived from the analysis of the entanglement between the numerical discretization and the filtering in LES.”

“Both quantum models produced samples with lower average minimum distances to the true distribution compared to the LSTM, with the QCBM achieving the most favorable metrics.”

“The paper finds that the complexity of solving the Poisson equation can either increase or decrease with the Reynolds number, depending on the specific flow being simulated (e.g., Navier-Stokes turbulence vs. Burgers equation).”

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“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 outlines a theoretical framework and reports tentative results showing how the shape of quantum vortices could be affected by the presence of a proton fluxtube.”

“The paper demonstrates "exponential convergence rates of POD Galerkin methods that are based on truth solutions which are obtained offline from low-order, divergence stable mixed Finite Element discretizations."”

“Quantum errors can be modeled as deterministic physical terms rather than purely stochastic perturbations.”