“Evaluations on the Long Range Arena (LRA) benchmark demonstrate RMAAT's competitive accuracy and substantial improvements in computational and memory efficiency, indicating the potential of incorporating astrocyte-inspired dynamics into scalable sequence models.”

“The key methodological innovation is that orthogonal complement projections completely eliminate cross-modal interference when estimating each loading space.”

“The consistent value for the Hagedorn temperature, $T_{ m H} \simeq 0.34\, ext{GeV}$, for both mesons and baryons.”

“The entanglement entropy naturally emerges from the normalization condition of the Husimi distribution within this framework.”

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“The paper explores integer (Int8) quantization and a resource-aware gait scheduling viewpoint to maximize RL reward under power constraints.”

“For any Feller's Brownian motion that is not purely driven by jumps at the boundary, we construct a sequence of boundary random walks whose appropriately rescaled processes converge weakly to the given Feller's Brownian motion.”

“The paper focuses on the application of QCD sum rules to baryoniums, which are considered promising hexaquark candidates, and compares theoretical predictions with experimental data.”

“The paper introduces a continuation-based learning framework that combines simplified model pretraining and model homotopy transfer to efficiently generate and refine complex dynamic behaviors.”

“We prove the nonexistence of $(120, 35, 10)$-difference sets, which has been an open problem for 70 years since Bruck introduced the notion of nonabelian difference sets.”

“The paper argues that in the same-helicity sector the $R^2$ operators have no intrinsic meaning, as they merely remove unwanted terms produced by the linear-in-Riemann operators.”

“The paper introduces two complementary high-order strategies for triangular elements: a reduced quadrilateralization approach and a triangle based spectral element method based on Dubiner polynomials.”

“The shortest possible state-preparation times scale quadratically with N.”

“The paper aims to reproduce the differential mass distribution for the D*π system in B-decays and determine the D*π scattering length.”

“The paper finds that the mean of the first-passage probability may display a minimum as a function of bias strength, depending on the location of the initial and target sites relative to the focal point.”

“In cases V and VI, the Hamiltonian analysis yields 8 degrees of freedom, while only 6 and 5 modes are visible at linear order in perturbations, respectively. This indicates that additional modes are strongly coupled on cosmological backgrounds.”

“The paper reports results for energy spectra, electromagnetic properties such as quadrupole moment ($Q$), magnetic moment ($μ$), $B(E2)$, and $B(M1)$ transition strengths, and compares the shell-model results with the available experimental data.”

“The paper builds examples of real space sextics with 64 and 120 totally real tritangents.”

“PKS~0346-27 has been detected by H.E.S.S at a significance of 6.3$σ$ during one night, on 3 November 2021...”

“The paper proposes list and unique decoding algorithms for TGRS codes and Roth-Lempel codes based on the Guruswami-Sudan algorithm, achieving near-linear running time.”

“Assuming the Generalized Riemann Hypothesis, we obtain a new Omega result.”

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“The paper defines squeezed cobosons as eigenstates of a Bogoliubov transformed coboson operator and derives explicit expressions for the associated quadrature variances.”

“Trellis replaces the standard KV cache with a fixed-size memory and train a two-pass recurrent compression mechanism to store new keys and values into memory.”

“αs(MZ)=0.1183+0.0023−0.0020 at the 68% credibility level.”

“The paper introduces a multiplicative $(1 + a/T)$ correction to the dispersion relation of quarks and gluons.”

“The Omnès matrix developed here provides a reliable dispersive input for form-factor calculations and resonance studies in the tensor-meson sector.”

“NashOpt is an open-source Python library for computing and designing generalized Nash equilibria (GNEs) in noncooperative games with shared constraints and real-valued decision variables.”

“Error mitigation is achieved by appending a six-parameter trainable Gaussian recovery layer comprising local phase rotations and displacements, optimized by minimizing a quadratic loss on the signal-mode quadratures.”

“The accuracy rate, F1 score, recall rate and AUC of PFed-Signal are 0.887, 0.890, 0.913 and 0.957 respectively, which are higher than the baselines.”

“The paper derives constraints on dimension-six operators that affect four-fermion interactions between leptons and bottom quarks, as well as Z-fermion couplings.”

“The paper predicts a mass of $m=(9740 \pm 70)~\mathrm{MeV}$ and a width of $Γ[ \mathfrak{M}]=(121 \pm 17)~ \mathrm{MeV}$ for the hadronic axial-vector molecule $\mathfrak{M}$.”

“The paper investigates q-congruences for truncated ${}_{4}φ_3$ series.”

“The study derives robust limits of $E_{ m QG,1} \ge 4.37 imes 10^{16}$~GeV for linear LIV and $E_{ m QG,2} \ge 3.02 imes 10^{8}$~GeV for quadratic LIV.”

“The user asks ChatGPT: "Which combination of the 81 possibilities does the following code correspond to?"”

“The emergence of a well-defined inertial response depends sensitively on cone geometry. Blunt cones exhibit quadratic scaling with impact speed over the full range of velocities studied, whereas sharper cones display a delayed transition to inertial behavior at higher speeds.”

“The HL-LHC can probe leptoquark masses up to $m_{ m LQ} \sim 1.5~\mathrm{TeV}$ with this process.”

“The study focuses on locating the Hydrate-Liquid-Vapor Coexistence and its Upper Quadruple Point.”

“The paper predicts that gamma-rays are detectable across all facilities for the external shock model, while the neutrino detection prospect is poor. In contrast, both IceCube and KM3NeT have significantly better prospects for detecting neutrinos in the magnetic reconnection scenario.”

“The article's source is ArXiv, indicating a pre-print research publication.”

“The paper establishes a new Heisenberg-type uncertainty principle for the quadratic-phase Dunkl transform, which extends the classical uncertainty principle for a large class of integral type transforms.”

“The article's context is the mass spectra of $Λ_QarΣ_Q$ bound states.”

“The study focuses on Dihadron Transverse-Spin Asymmetries in Muon-Deuteron Deep-Inelastic Scattering.”

“The paper measures the elliptic ($v_2$) and triangular ($v_3$) flow of prompt $\mathrm{D}_{s}^{\pm}$ mesons and the $\mathrmΛ_{c}^{\pm}$ nuclear modification factor ($R_{AA}$).”

“The method constructs a differentiable representation of the Quantum Chromodynamics (QCD) PV kernel and embeds it as a fixed, physics-preserving layer inside a neural network.”

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“The color correlations depend on the minimal path length along a flux tube which connects two quarks under consideration. The color correlation between quarks quenches because of color leak into the gluon field (flux tube) and finally approaches the random color configuration in the large distance limit. We find a ``universality'' in the flux-tube path length dependence of the color leak for 2Q, 3Q, and 4Q ground-state systems.”

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

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“The article's context describes the study of di-hadron correlations in proton-nucleus collisions.”