“Our approach relies on a unified formulation of the distance from a point to a hyperplane on the considered spaces.”

“The paper constructs a general effective field theory (EFT) framework for neutrino-dark matter (DM) interactions and systematically finds all possible gauge-invariant ultraviolet (UV) completions.”

“The paper shows that the homeomorphism problem for compact topological n-manifolds is Borel equivalent to equality on natural numbers, while the homeomorphism problem for noncompact topological 2-manifolds is of maximal complexity.”

“The regularized local markers eliminate the obstructive boundary irregularities successfully, and give rise to the desired global topological invariants such as the Chern number consistently when integrated over all the lattice sites.”

“The authors report an experimentally accessible protocol for directly measuring the mixed-state topological invariant.”

“By precisely tuning the intensity ratio between fundamental and doughnut modes, we arrive at the generation of propagation-invariant vector flat-top beams for more than 5 m.”

“This work successfully reveals the intrinsic topological characteristics encoded within the Floquet eigenstates themselves.”

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

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

“The paper proposes a multi-modal cross-domain mixed fusion model with dual disentanglement for fault diagnosis.”

“Solutions are attracted toward the unique invariant probability measure at polynomial rates of arbitrary order.”

“CPR achieves an F1 score of 0.632 under SAP attacks, surpassing Median Smoothing (0.541 F1) by 9.1%.”

“The study found a 'Temporal Asymmetry, where past-tense framing bypassed defenses (15.6% safe) while future-tense scenarios triggered hyper-conservative refusals (57.2% safe).'”

“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 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.”

“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.”

“The paper demonstrates the validity of the bosonic Bott indices of values larger than 1 in multi-band magnonic systems.”

“A critical "transition" regime maximizes generalization capability.”

“The paper proposes to use a standard reduced basis method (RBM) to construct this low-order rational function. Algorithmically, this procedure is an iterative greedy approach, where the greedy objective is evaluated through an error estimator that exploits the linearity of the frequency domain representation.”

“The paper defines a non-compact 3-dimensional TQFT from the data of a (potentially) non-semisimple modular tensor category.”

“The output intensity in such systems include Beer-Lambert absorption, a scattering term and loop phase dependent interference term with optical depth controlling visibility.”

“The paper discusses how to construct expressions that do not receive quantum corrections in all orders for certain ${\cal N}=1$ supersymmetric theories, such as the renormalization group invariant combination of two gauge couplings in ${\cal N}=1$ SQED+SQCD.”

“Our method uses geometry-driven path augmentation, guided by the geometry in the system's invariant density to reconstruct likely trajectories and infer the underlying dynamics without assuming specific parametric models.”

“The system combines high numerical aperture remote refocusing with tilt-invariant light-sheet scanning and hardware-timed synchronization of laser excitation, galvo scanning, and camera readout.”

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“The paper defines “axiomatic convergence” as a measurable reduction in inter-run and inter-model variability when generation is repeatedly performed under stable invariants and evaluation rules applied consistently across repeated trials.”

“The paper defines “axiomatic convergence” as a measurable reduction in inter-run and inter-model variability when generation is repeatedly performed under stable invariants and evaluation rules applied consistently across repeated trials.”

“Thermodynamics becomes the study of how these shells deform with energy: the entropy is the logarithm of a geometric area, and its derivatives satisfy a deterministic hierarchy of entropy flow equations driven by microcanonical averages of curvature invariants.”

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

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“The paper generalizes a result on estimating the Hausdorff dimension of measures from a specific example to a broader family of interval exchange transformations.”

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

“Hidden imagination is where unacknowledged harm incubates.”

“Raven uncovers six new invariant categories absent from existing invariant catalogs, including feature toggles, replay prevention, proof/signature verification, counters, caller-provided slippage thresholds, and allow/ban/bot lists.”

“The paper proposes three axioms that formalize the minimal invariance and stability properties required of rank-based input normalization.”

“The scenario can simultaneously accommodate the observed neutrino masses and mixings, an appropriately low lepton flavour violation and the observed dark matter relic density for 10 TeV ≲ vBL ≲ 55 TeV. In addition, the very radiative nature of the set-up signals a strong first order phase transition in the presence of a non-zero temperature.”

“The paper argues that the traditional opposition between determinism and indeterminism in physics is representational rather than ontological.”

“By identifying invariant subspaces across projections, our approach enables more precise control over concept manipulation without unintended amplification or diminution of other behaviors.”

“$U_q(\mathfrak{gl}(m|n))$ bounds on the minimal genus of virtual links”

“The article is based on a submission to ArXiv, implying it presents preliminary research findings.”

“Tokens in LLMs are atomic, pixels are not.”

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“The paper reveals that an interplay between quasiperiodicity and topology drives TTG into a critical regime, enabling it to host superconductivity with rigid phase stiffness for a wide range of twist angles.”

“The matrix closest to $\widehat{A}$ in the Frobenius norm and satisfying $C^ op A = 0$ is the orthogonal projection $A^\star = \widehat{A} - C(C^ op C)^{-1}C^ op \widehat{A}$.”

“The article is sourced from ArXiv.”

“Skill drift imposes an intrinsic ceiling on long-run accuracy (the ``Red Queen'' effect).”

“The paper establishes a correspondence between the auxiliary field model of Russo and Townsend and the Ivanov--Zupnik formalism in four-dimensional electrodynamics.”