“Understanding the evaluation metrics is key to understanding the latest autonomous driving technology.”

“The article's content provides insights into the continued evaluation of Select AI, building on the initial exploration.”

“The paper classifies the irreducible components of V(d,n), gives criteria for the ideal I(d,n) to be prime or a complete intersection, and for the variety V(d,n) to be normal. It also gives near-equivalent conditions for V(d,n) to be factorial.”

“The paper proves an orbifold type decomposition theorem and shows that the total Hochschild homology is isomorphic to a symmetric algebra.”

“If a finitely generated VI^m-module is generated in degree ≤ d and related in degree ≤ r, then its regularity is bounded above by a function of m, d, and r.”

“The paper proves that the local limit of the weighted spanning trees on any simple connected high degree almost regular sequence of electric networks is the Poisson(1) branching process conditioned to survive forever.”

“The paper constructs solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and studies the dependence of energy and charge on $ω$.”

“The article focuses on the mathematical analysis of a chemotaxis-Navier-Stokes system.”

“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 discovery of a direct second-order transition between the massless and symmetric massive fermion phases.”

“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 shows that changing the gluing edge isomorphisms does not affect the quasi-isometry type of these groups.”

“Acyclic production systems are always viable.”

“The heavy rare-earth members exhibit an intriguing MCE behavior switching from conventional to non-conventional MCE.”

“The paper investigates the Gelfand theory of the algebra and discusses properties of the Fourier transform of operators arising from the Gelfand transform.”

“The tidal dephasing caused by the difference in tidal deformability and f-mode frequency is calculated and found to be undetectable by next-generation gravitational wave detectors.”

“Deformed systems involve, as invariant subsets, two different off-shell versions of the irreducible multiplet ${\bf (8,8,0)}$.”

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

“The paper presents an edited version of the author's student works (diplomas of 2011 and 2013) with some improvements, focusing on circular TWs and stronger TWs.”

“The analysis of these observations confirms the capability of these lines for inferring magnetic fields in the upper chromosphere.”

“The paper finds a partial extension of Poincaré duality theorem to hypersurfaces obtained by non-primitive Viro's combinatorial patchworking.”

“For fixed $m$ and $n$, the paper characterizes the pairs of parameters $k_1,k_2$ for which $ζ_{G(p,m,n,k_1)}(s)=ζ_{G(p,m,n,k_2)}(s)$.”

“The paper identifies "smooth branches of extremal amplitudes separated by sharp kinks at $d=5$ and $d=7$, coinciding with a transition in threshold analyticity and the loss of some well-known dispersive positivity constraints."”

“The paper provides an example where the deterministic subcategory is the category of Stone spaces and the kernels correspond to a restricted class of Kleisli arrows for the Radon monad.”

“The equivalent width of the Li I absorption line suggests an age of $8.1^{+2.1}_{-3.8}$ Myr, while optical photometric data indicate stellar ages ranging from $\sim$1 to 14 Myr.”

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

“The study finds that the gluon helicity contribution to proton spin is $ΔG = 0.231(17)^{\mathrm{sta.}}(33)^{\mathrm{sym.}}$ at the $\overline{\mathrm{MS}}$ scale $μ^2=10\ \mathrm{GeV}^2$, which constitutes approximately $46(7)\%$ of the proton spin.”

“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 constructs a general class of unique solutions to certain matrix equations and derives several equivalent properties of W-weighted DMP and MPD inverses.”

“Exposure to ozone without UV irradiation did not have a distinct effect on surface activity, indicating that UV illumination is required for significant decontamination.”

“Moderate positive anisotropy can increase the maximum supported mass up to approximately $2.4\;M_\odot$ and enhance stellar compactness by up to $20\%$ relative to isotropic configurations.”

“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).”

“Latent autoregression induces latent trajectories that are significantly more compatible with the Gaussian-process prior and exhibit greater long-horizon stability.”

“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.”

“The paper finds a g-wave altermagnetic spin liquid as the unique ground state for the spin-3/2 model and a richer phase diagram for the spin-7/2 model, including d-wave altermagnetic spin liquids and chiral spin liquids.”

“The article's context indicates the toolkit is related to PTA observations.”

“The paper establishes general criteria that guarantee equivalences between the categories of polynomial functors of different degrees or with different base categories.”

“The conductivity exhibits heavy-tailed fluctuations characterized by a power-law decay with exponent $α\approx 2.3$--$2.5$, indicating a finite mean but a divergent variance.”

“The paper identifies an anomalous decay pattern where excited modes decay slower than the fundamental mode when the charge coupling is large.”

“The article is based on DFT+DMFT calculations, a computational method.”

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

“The paper establishes asymptotically tight lower and upper bounds on the over-thresholds and shows that for infinitely many instances of m the two bounds coincide.”

“The paper finds a robust 4Q bipartite lattice of hedgehogs and antihedgehogs which melts through a first order phase transition.”

“The paper rigorously classifies fixed points with N=4,5 and identifies fixed points with finite Lie-type symmetry and a sporadic Mathieu group.”

“The paper provides clear numerical evidences for anyon excitations with fractional charge and pronounced real-space density modulations, directly supporting the recently proposed anyon density-wave halo picture.”

“At the 68% confidence level, the maximum dark matter mass is estimated to be 0.150 solar masses, with an uncertainty.”

“Fairness research remains largely academic, with limited industry collaboration and low to medium Technology Readiness Level (TRL), indicating that industrial transferability remains distant.”

“EGDA achieves robust cross-session performance, obtaining accuracies of 81.22%, 80.15%, and 83.27% across three transfer tasks, and surpassing several baseline methods.”