“The author notes that evaluations of tools and LLMs often differ significantly between users, emphasizing the influence of individual prompting styles, technical expertise, and project scope.”

“All the leading singularities of (sub-maximally or) non-supersymmetric theories can be organized into `generalized' superfunctions, in terms of which all helicity components can be effectively encoded.”

“The paper concludes that the 'Cosmic Himalayas' are not an anomaly, but a natural outcome of structure formation in the Lambda CDM universe.”

“The paper introduces the semi-overlapping multi-(multi-armed) bandit (SOMMAB), in which a single evaluation provides distinct feedback to multiple bandits due to structural overlap among their arms.”

“State-of-the-art video models achieve only about 20% POC@1.0 and exhibit a significant outcome-hacking.”

“The paper generalizes the result to the case of four measurements and deals with the summation form of uncertainty relation for two, three and four observables in a unified way.”

“No statistically significant evidence for postmerger echoes is found.”

“The paper explains that the situation where the T-dual of a toric Kähler geometry is a generalized Kähler geometry involving semi-chiral fields is generic for polycylinders, tori and related geometries.”

“The core of embodied intelligence is "intelligent robots," which gives various robots the ability to perceive, reason, and make generalized decisions. This is no exception for flight, which will redefine flight robots.”

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

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“The paper proposes a non-negative matrix factorization based on the generalized Poisson distribution, which can flexibly accommodate overdispersion, and introduces a maximum likelihood approach for parameter estimation.”

“The paper determines generalised Chebyshev-like forms for the determinants of gram matrices of contravariant forms for standard modules.”

“An excess is observed with respect to the standard model expectation with a local significance of 2.4 standard deviations for a signal with an H$^\pm$ boson mass ($m_{\mathrm{H}^\pm}$) of 600 GeV.”

“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 derives a generalized Heisenberg-Robertson uncertainty inequality valid across all spectral regimes.”

“The Schwarzschild exterior maximizes the event horizon formation time $ΔT_{\text{eh}}=\frac{19}{6}m$ among all asymptotically flat, static, spherically-symmetric black holes with the same ADM mass $m$ that satisfy the weak energy condition.”

“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 proves that a certain universal successive extension of filtered (φ,N)-modules can be realized as the space of homomorphisms from a suitable shift of the dual of locally K-analytic Steinberg representation into the de Rham complex of the Drinfeld upper-half space.”

“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 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.”

“The paper introduces a kernel Cheeger constant that quantifies connectedness relative to kernel localization, yielding a clean stability certificate.”

“The method involves three stages: 1) compiling a generalized natural language requirement pattern...; 2) generating, using the AI assistant, a corpus of natural language requirement patterns...; and 3) formalizing the syntax of the controlled natural language...”

“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).”

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

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

“The paper validates the numerical approaches by successfully reproducing standard vacuum test cases and achieving long-term stable evolutions of stationary black holes, including Kerr black holes with extreme spin.”

“The paper gives sufficient criteria that guarantee the integrability for the aforementioned generalized structures, formulated in terms of properties of the associated 2-form and connection.”

“GCA losses are $H$-consistent for any hypothesis set that is bounded or complete, with $H$-consistency bounds that scale more favorably as $1/\sqrt{\mathsf p_{\min}}$, offering significantly stronger theoretical guarantees in imbalanced settings.”

“The proposed preconditioners significantly accelerate the convergence of iterative solvers compared to existing methods.”

“The paper shows that the GHZ and Dicke states of three qubits and the GHZ state of four qubits do not allow a description based on Mermin's instructional sets, while one of the generalized Dicke states of four qubits does allow such a description.”

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

“Online methods can achieve an average success rate of 45/19/77% with just a few thousand queries over three tasks where static methods from existing multi-turn conversation benchmarks find few or even no failure cases.”

“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.”

“ThinkGen employs a decoupled architecture comprising a pretrained MLLM and a Diffusion Transformer (DiT), wherein the MLLM generates tailored instructions based on user intent, and DiT produces high-quality images guided by these instructions.”

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“The paper introduces novel capabilities that expand how the target object can be specified.”

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“The paper shows that generalized normal operators are elliptic pseudodifferential operators of order -1.”

“The generalized model preserves thermodynamic consistency by ensuring zero net energy transfer at equilibrium.”

“SOFT enables the simulation of noisy quantum circuits containing non-Clifford gates at a scale not accessible with existing tools.”

“The paper derives a closed-form expression for the system reliability of a 1-out-of-n cold standby redundant system.”

“The UISVD yields stable, physically meaningful entropic spectra that are invariant under rescalings and normalisations.”

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“The paper proves that $K_0(X_{n,k})$ is canonically isomorphic to $R_{n,k}$, extending classical isomorphisms for the flag variety.”

“FGMNB consistently outperforms five state-of-the-art embedding-based baselines on three of these networks.”

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