“The paper identifies universal polar dual pairs of spherical codes C and D such that for a large class of potential functions h the minima of the discrete h-potential of C on the sphere occur at the points of D and vice versa.”

“The paper derives fundamental estimation limits for a wide-band near-field sensing systems employing orthogonal frequency-division multiplexing signaling over a coherent processing interval.”

“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 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.”

“Cube particles form a simple square assembly, overcoming lattice/topology incompatibility, and maximize entropy by distributing eight three-fold defects evenly on the sphere.”

“The paper proves a central limit theorem for the Euclidean distance between two independent random vectors uniformly distributed on $l_p^n$-balls.”

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“The strong short-range spin--isospin correlations characteristic of $α$ clusters lead to a significant suppression of spin fluctuations compared to a spherical Woods--Saxon baseline with uncorrelated spins.”

“HyperGRL delivers superior representation quality and generalization across diverse graph structures, achieving average improvements of 1.49%, 0.86%, and 0.74% over the strongest existing methods, respectively.”

“SHIELD maintains an observation-quality occupancy map and performs ray-casting on this map to address the issue of inconsistent point-cloud quality during exploration.”

“The paper derives geodesic equations, analyzes the radial photon orbital equation, and explores the relationship between photon ring width and the Lyapunov exponent.”

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“The paper presents formulas that allow us to decompose a function $f\colon \mathbb S^d ightarrow \mathbb R$ into a sum of terms $f_{oldsymbol u,oldsymbol ξ}$.”

“The Transformer+SNM configuration attains near-theoretical performance, achieving an AUROC of 0.9977 and an unknown gas detection rate of 99.57% (TPR at 5% FPR).”

“Bright-4B produces morphology-accurate segmentations of nuclei, mitochondria, and other organelles from brightfield stacks alone--without fluorescence, auxiliary channels, or handcrafted post-processing.”

“The research focuses on modeling high dimensional point clouds with the spherical cluster model.”

“We find that all scoring functions, including using a learned inlier distribution, perform identically.”

“Our main result is the significantly improved sample complexity for learning such low-degree polynomials.”

“Our approach leverages an intermediate spherical coordinate space to bridge anatomical surface topology with volumetric anatomy, enabling consistent and anatomically accurate alignment.”

“The paper studies shallow neural networks' ability to learn low-degree spherical polynomials.”

“The research uses convolutional neural networks to analyze data from the FAST telescope.”

“The research focuses on the Global Regular Solutions of the Multidimensional Degenerate Compressible Navier-Stokes Equations with Large Initial Data of Spherical Symmetry.”

“The paper explores Spherical Leech Quantization for visual tasks.”

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“The article is a 'complete guide' to the topic.”

“The article focuses on spherically-symmetric static minisuperspaces.”

“Generalized Spherical Neural Operators: Green's Function Formulation”

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