One binary operator eml(x,y)=exp(x)-ln(y) plus the constant 1 generates all elementary functions including sin, cos, sqrt, log, arithmetic operations, and constants e, pi, i.
Mixed citations
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Mixed citation behavior. Most common role is background (50%).
514
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Background
50% of classified citations
citation-role summary
background 27
method 18
other 2
dataset 1
citation-polarity summary
representative citing papers
A new gravitational wave event reveals a binary black hole merger with total mass 190-265 solar masses, indicating black holes can form via gravitational-wave driven mergers beyond standard stellar channels.
JWST observations indicate that interstellar comet 3I/ATLAS has dust dominated by amorphous silicates similar to the ISM, unlike the crystalline silicate-rich dust in Solar System comets.
First observation of a solar-like magnetic reconnection flare in NGC 3783 AGN corona, identified via Neupert effect in X-ray timing and an ultra-fast outflow analogous to a solar CME.
First detection of Hα emission from KELT-9 b's escaping atmosphere shows double-peaked profile with self-absorption, indicating vigorous outflow with mass-loss rate above 10^13 g/s.
Direct imaging discovery of β Pictoris d, a ~2.4 M_Jup planet at ~26 au with CO2-rich atmosphere, detected in multi-epoch VLT and JWST observations and consistent with bound orbital motion.
Rotational transits of WASP-121 b observed with JWST/NIRSpec and NIRISS show asymmetric light curves and phase-dependent molecular absorption revealing stronger evening than morning terminator temperature gradients.
First JWST spectroscopy of GJ 504 b detects multiple molecules, retrieves atmospheric parameters including super-solar metallicity, and finds tentative support for planet-like formation.
JWST data show multiphase filaments feeding a circumnuclear disk that mediates accretion onto the black hole in NGC 4696, closing the AGN feedback loop.
GWTC-5.0 adds 161 new compact binary coalescence candidates from O4b with p_astro >= 0.5, detailed properties for 104, all binary black holes, for a cumulative total of 390.
RICA replaces ICA's global generative model with local Riemannian geometry, introducing a disentanglement tensor based on the Hessian of the log-likelihood and Ricci curvature to measure pointwise disentanglement, which recovers sources across manifolds in controlled tests.
Presents a fully photometric framework to measure individual cluster splashback radii and masses from SDSS data and constructs the first observational splashback mass function.
A Particle Transformer jet tagger contains a sparse six-head circuit whose source-relay-readout structure recovers most performance and whose residual stream preferentially encodes 2-prong energy correlators.
Looped transformers with recall and outer normalization produce reachable, input-dependent fixed points with stable gradients, enabling generalization, while those without recall cannot; a new internal recall variant performs competitively or better.
JWST nebular spectra detect cooling ~400 K carbonaceous dust emission in normal SN Ia 2023qov at +276 and +363 days, modeled as pre-existing circumstellar dust with mass ~10^{-4} M_sun located within ~1 light year.
Two young low-mass stars show solar C/O ratios while their inner disks are hydrocarbon-rich with C/O greater than one, providing direct evidence that disk processes enhance inner-disk carbon.
JWST mid-IR observations of interstellar comet 3I/ATLAS yield the first direct methane detection and confirm strongly enhanced CO2:H2O mixing ratios relative to solar system comets.
Sdim is the first open-source qudit stabilizer simulator supporting all dimensions, enabling circuit evaluation and sampling for qudit fault-tolerant quantum computing research.
A massive quiescent galaxy at z=3.449 exhibits low rotation (λ_Re = 0.123) consistent with slow-rotator kinematics, indicating early formation of dispersion-dominated systems.
Grokking arises from gradual amplification of a Fourier-based circuit in the weights followed by removal of memorizing components.
One acceleration measurement equals ~10^5 phase-space measurements for local dark matter density estimation, with acceleration outperforming Jeans modeling in both equilibrium and perturbed Milky Way simulations.
A triple-star channel with two common envelope evolution phases produces merging black hole binaries with positive average χ_eff and a tail of negative values.
Cross-correlation of SPT-3G D1 CMB lensing and DES Y3 galaxy lensing measures S8 = 0.833^{+0.047}_{-0.061} at 14 sigma using polarization-only reconstruction, consistent with Planck and DES Y3.
Defines a sample of ~1300 SDSS quasars as Local Red Dots matching LRD photometric colors at z~0.4-0.8, with a V-shaped subset showing Balmer absorption and [NeV] emission, and SEDs modeled as reddened AGN plus host galaxy that match LRD stacks.
citing papers explorer
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Continuous diffusion for categorical data
The paper proposes CDCD, a continuous-time and continuous-space diffusion framework for categorical data, and reports results on language modeling tasks.
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CMB power spectra and cosmological parameters from Planck PR4 with CamSpec
Planck PR4 NPIPE maps processed with CamSpec produce LCDM parameters consistent with 2018 results but with ~10% tighter constraints and shifts toward LCDM values for extensions like Omega_K and A_Lens.
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The Astropy Project: Sustaining and Growing a Community-oriented Open-source Project and the Latest Major Release (v5.0) of the Core Package
The paper reports on the Astropy v5.0 release, project updates, ecosystem connections, and challenges facing the community-oriented open-source astronomy software effort.