“The paper shows that non-planar diagrams, specifically MHV diagrams, can be represented by pseudo-positive geometries in the Grassmannian G(2,n).”

“The trilinear equivalence only requires an averaging over grids, which converts a difficult exponential sum into an oscillatory integral with periodic amplitude.”

“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 focuses on the in-medium electromagnetic form factor, distribution amplitude, and the parton distribution function of the pion.”

“The paper observes "another nonlinear structure that lags behind the source term, maintaining its shape and speed as it propagates."”

“The standard quantum variance splits into two non-negative terms: the ensemble variance of weak actual value and a quantum term arising from phase-amplitude coupling.”

“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 observed nonlinearity exhibits a mixed reactive-dissipative character.”

“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."”

“Quintessence-like models ($w > -1$) show higher ISW amplitudes than phantom models ($w < -1$), consistent with enhanced late-time decay of gravitational potentials.”

“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 context provided suggests that the article is published on ArXiv, a pre-print server for scientific research.”

“The paper investigates the one-loop beta functions for the gauge and gravitational coupling constants.”

“The paper describes how to construct a spanning set of linearly-independent, automatically orthogonal colour tensors for scattering amplitudes involving coloured particles transforming under arbitrary representations of any gauge theory.”

“The inverse of this intersection number is precisely the AdS double-copy kernel for the four-point open- and closed-string generating functions.”

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“The model successfully captures the far-field 1/r decay in noise amplitudes and the correct dipolar behaviour at upstream angles.”

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“The method recovers coherent signals and reaches the instrumental precision limit of ~30 cm/s.”

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“Neglecting the PEs in the PDAs leads to an overestimation of the RIS performance gain, explaining the discrepancies between theoretical and measured results.”

“The paper derives an exact entanglement boundary based on the positivity of the partial transpose, valid in the symmetric resonant limit, and provides an explicit minimum collective fluctuation amplitude required to sustain steady-state entanglement.”

“The peak frequency scales as $f_{ ext {relic }}^{1 / 3}$ where $f_{ ext {relic }}$ is the fraction of the PBH relics in the total DM density.”

“The article is sourced from ArXiv, indicating it is a pre-print publication.”

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“The method identifies OU models that reproduce alpha-spindle (8-12 Hz) morphology and band-limited spectra with low residual error, enabling real-time tracking of state changes that are not apparent from band power alone.”

“The paper computes the complete one-loop renormalization group equations (RGEs) for all the four-fermion operators at dimension-8 Standard Model Effective Field Theory (SMEFT).”

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“The research uses conditional generative models.”

“The research focuses on the properties of de Sitter particles.”

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“The article likely discusses the creation and characteristics of the SkyCap dataset, the methodology used for amplitude change detection, and the evaluation metrics for assessing the performance of foundation models.”

“The research focuses on the decay $D^+ o π^+π^0π^0$.”

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