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%).
524
Pith papers citing it
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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.
JWST/NIRSpec data on SN 2024uj reveal complex He I emission overlapping central Ca and O, plus CO and dust, favoring a thermonuclear origin from low-mass white dwarfs.
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.
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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Dissecting Jet-Tagger Through Mechanistic Interpretability
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.
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Direct detection of cool molecular gas in a star-forming galaxy at $z=7.31$
Direct detection of CO(3-2) at z=7.31 in REBELS-25 gives M_mol ~ 10^11 M_sun with f_gas ~0.95, confirming a massive molecular reservoir and showing low-J CO remains detectable in the Epoch of Reionization.
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Magnesium Silicate Clouds in the Atmosphere of HD 209458b from a Rule-Based Tree-Structured Data Reduction
JWST MIRI/LRS data combined with archival observations detect magnesium silicate clouds (likely Mg2SiO4) in HD 209458b at 1-10 mbar with ~0.1 micron particles using a new rule-based data reduction approach.
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A fast tree algorithm for multi-component coagulation equation
A tree algorithm reduces multi-component coagulation complexity from O(N^{2d}) to O(d N^d log N) by grouping similar interactions and matches direct-method results in tests with analytic solutions.
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Constraining the Galactic bar using the M92 stellar stream
Spectroscopic members of the M92 stream yield a Milky Way bar pattern speed of 29.1 +0.7/-0.4 km s^{-1} kpc^{-1}.
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The Pinocchio Dimension: Phenomenality of Experience as the Primary Axis of LLM Psychometric Differences
The primary axis of psychometric variation among LLMs is the degree to which they represent themselves as loci of phenomenal experience rather than systems of behavioral responses.
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The Tale of a Hungry Subgiant and Its Brown Dwarf: Interior Radiative Damping Dominates the Tidal Evolution of TOI-5882
A coupled MESA-GYRE framework shows interior radiative damping of gravity waves dominates tidal evolution in TOI-5882, predicting a 2-6 fold reduction in engulfment timescale versus equilibrium tide models.
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How does feature learning reshape the function space?
In the high-dimensional proportional regime, a large gradient step on a two-layer network induces a target-dependent spiked Gaussian covariance on the features, yielding a data-adaptive kernel that amplifies target-aligned eigenvalues and mixes leading eigenfunctions.
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A Machine Learning Approach to Meteor Classification
Machine learning clustering of meteor observations produces a new hardness classification H_class that refines traditional Kb models using more parameters and reveals compositional structure in meteoroid populations.
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Optimal Experimental Design using Eigenvalue-Based Criteria with Pyomo.DoE
Pyomo.DoE gains callback-based support for eigenvalue optimality criteria (E- and ME-optimality) plus a new experiment-creation abstraction for uncertainty quantification in high-fidelity models.
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Simple KNN-Based Outlier Detection Achieves Robust Clustering
KNN-distance outlier removal yields a constant-factor reduction from robust k-means to standard k-means under cluster-size assumptions.
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Enhancing Performance Insight at Scale: A Heterogeneous Framework for Exascale Diagnostics
An accelerated hpcanalysis framework ingests performance data from 100,000 MPI ranks in 9.69 seconds, delivers up to 314x GPU speedup, maps network congestion on Aurora, and uses a new tri-dimensional model to identify 32.28% potential speedup in a GAMESS workload on Frontier.
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Double Neutron Star Delay Times Across Cosmic Metallicities: The Role of Helium Star Progenitors
Population synthesis of helium star-NS systems yields DNS delay time distributions that peak between 80-250 Myr across metallicities, with 15% merging within 80 Myr and over 20% after 1 Gyr.
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A New Adaptive Deep Learning based Reduced Order Model for Hybrid-Type Parabolic PDEs: Rigorous Error Analysis and Applications
Two new DOD-based reduced-order models (DOD-DL-ROM and DOD+DFNN) are introduced for hybrid-type parabolic PDEs, with rigorous error bounds linking performance to optimal map regularity and conditions for outperforming POD methods.
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QAssemble: A Pure Python Package for Quantum Many-Body Theory
QAssemble is a new pure-Python package for quantum many-body calculations that achieves up to 60x speedup via vectorization and discrete Lehmann representation while validating on graphene.
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What Heats the Dense Gas in the Galactic Center?
Kinetic temperatures in three Galactic Center molecular clouds are revised to 84-95 K using additional formaldehyde lines, indicating combined cosmic-ray and turbulent heating rather than extreme values from prior studies.