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.
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citation-role summary
background 27
method 19
other 2
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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.
TOI-2195 A b is an inflated hot Neptune that likely originated as a Jovian planet losing ~90% mass through Roche lobe overflow during EKL-driven high-eccentricity migration triggered by a wide binary companion.
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.
citing papers explorer
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All elementary functions from a single binary operator
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.
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GW231123: a Binary Black Hole Merger with Total Mass 190-265 $M_{\odot}$
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.
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The Dust Mineralogy of Interstellar Comet 3I/ATLAS from JWST/MIRI Observations
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.
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Observation of A Solar Like Magnetic Reconnection Event in an AGN Corona with XRISM
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.
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Hydrogen airglow from an escaping ultrahot Jupiter atmosphere
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.
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Direct Imaging Discovery of Giant Exoplanet $\beta$ Pictoris d: A Decade-Long Game of Hide-and-Seek
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.
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Atmospheric asymmetries in WASP-121 b revealed by rotational transits detected with JWST
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.
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JWST-TST High Contrast: First Direct Spectroscopy of GJ 504 b reveals Clouds and Possible Metal Enrichment
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.
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JWST reveals how black holes are fed: kiloparsec-scale multiphase filaments feed sub-kiloparsec circumnuclear disks
JWST data show multiphase filaments feeding a circumnuclear disk that mediates accretion onto the black hole in NGC 4696, closing the AGN feedback loop.
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GWTC-5.0: Observations from the Second Part of the Fourth LIGO-Virgo-KAGRA Observing Run and Updates to the Gravitational-Wave Transient Catalog
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.
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Disentanglement Beyond Generative Models with Riemannian ICA
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.
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The Splashback Mass Function of Galaxy Clusters from Photometric Data
Presents a fully photometric framework to measure individual cluster splashback radii and masses from SDSS data and constructs the first observational splashback mass function.
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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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Stability and Generalization in Looped Transformers
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.
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JWST Nebular Spectroscopy of SN 2023qov: Circumstellar Dust Emission in a Normal Type Ia Supernova
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.
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A Chemical Mismatch Between Young Stars and Their Inner Disks
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.
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The Volatile Inventory of 3I/ATLAS as seen with JWST/MIRI
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.
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Sdim: A Qudit Stabilizer Simulator
Sdim is the first open-source qudit stabilizer simulator supporting all dimensions, enabling circuit evaluation and sampling for qudit fault-tolerant quantum computing research.
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A massive and evolved slow-rotating galaxy in the early Universe
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.
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Progress measures for grokking via mechanistic interpretability
Grokking arises from gradual amplification of a Fourier-based circuit in the weights followed by removal of memorizing components.
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Discovery of an Inflated Hot Neptune and Its Formation from Jovian Mass Loss
TOI-2195 A b is an inflated hot Neptune that likely originated as a Jovian planet losing ~90% mass through Roche lobe overflow during EKL-driven high-eccentricity migration triggered by a wide binary companion.
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JWST Observations of Calcium-Strong Transients: I. Complex Nebular He Emission in SN 2024uj
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.
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An Acceleration is Worth a Hundred Thousand Phase Space Measurements
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.
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Stellar black hole binaries from two common envelope evolution phases in triple stellar systems
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.
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A Population of Little Red Dot-like Quasars in SDSS
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.
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Probing the ubiquity of complex ices in protostars with JWST: the first systematic quantification of weak ice bands between 6.8 and 7.9 micron
First quantitative JWST study of weak ice bands in 21 protostars finds CH4 likely dominant at 7.67 um and HCOO- plus other COMs at 7.24/7.40 um, indicating ubiquity of complex ices.
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Can Asteroseismic Structure Inversions Be Performed in Structure-Dependent Coordinates?
Asteroseismic structure inversions can be performed in acoustic and buoyancy coordinates, overcoming breakdowns for non-solar stars and removing the need for prior mass and radius knowledge in p-mode cases.
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First measurement of narrow-line flux ratios for a lensed quasar with JWST/NIRSpec IFS
First narrow-line flux ratios for lensed quasar RXJ1131-1231 measured with JWST/NIRSpec IFS at ~5% precision, detecting cusp anomaly consistent with prior work.
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C, N, O, S, and photochemistry in a temperate giant planet orbiting a late M dwarf
Transit spectrum of TOI-6894b indicates 3-10x solar metallicity with solar C/O, N/O, and S/O ratios, similar to Jupiter and Saturn.
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Cooling, conduction, compact objects: Gravothermal evolution of dissipative self-interacting dark matter halos
Dissipation in SIDM halos inverts heat conduction, suppresses isothermal cores, and explains an observed strong lens perturber with smaller cross sections or shorter times than the elastic case.
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An extreme ram-pressure stripping event in a protocluster at redshift 4.3
ALMA and JWST data reveal an extreme ram-pressure stripping event removing most cold gas from a massive galaxy in a z=4.3 protocluster core.
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SpatialClaw: Rethinking Action Interface for Agentic Spatial Reasoning
SpatialClaw introduces a stateful code-based action interface for VLM agents that enables open-ended 3D/4D spatial reasoning, reporting 59.9% average accuracy on 20 benchmarks for an 11.2-point gain over prior spatial agents across six backbones.
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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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Multi-Epoch X-Ray Detection of SLSN-I 2018bsz: Constraints on the Powering Mechanism and Ejecta Structure
Multi-epoch X-ray observations of SLSN-I 2018bsz support ejecta-CSM interaction as the dominant X-ray powering mechanism rather than a central magnetar.
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Black Hole Polarimetry III: Universal Polarization of Synchrotron Radiation at the Horizon
Synchrotron polarization at the black hole horizon follows a universal pattern set solely by spin and inclination.
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Revealing the Origin of Desert Dwellers via Stellar Obliquities
Roche lobe overflow during gas giant destruction aligns stellar spins with orbits within tens of degrees regardless of starting conditions, offering an observable to differentiate this mechanism from high-eccentricity migration.
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Quo Vadis, Visual In-Context Learning? A Unified Benchmark Across Domains and Tasks
The paper constructs the VIBE benchmark and evaluates six visual in-context learning models on 14 datasets, 12 tasks, and 106 combinations under a unified one-shot protocol, revealing limitations and failure modes.
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Rogue Ones: Orbital census of Galactic Cepheids and their Anomalies
A 6D kinematic census identifies 18 anomalous Cepheids with extreme orbits, including one possibly scattered by globular cluster E3, and finds consistency between dynamical and stellar ages.
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Eccentricity as a probe of mass-transfer physics. Eccentric mass transfer as a solution to the wide eccentric binary problem
Eccentric mass transfer via the new GeMT model accounts for the eccentric orbits of wide sdB+MS binaries as a direct consequence of mass-transfer physics.
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Extending asteroseismic magnetometry across the diverse landscape of magnetic structures
Extends magnetogravity polarization formalism to arbitrary magnetic field geometries, revealing avoided crossings and mode conversion below a local field threshold.
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The geometry of lunar gravitational wave detection
Optimal SSB frame origin for LGWA cuts sampling time by 10x and tightens chirp mass and sky position constraints for stellar-mass binaries beyond LVK performance.
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A Model Selection Criterion for Multidimensional Gaussian Processes: Application to Radial Velocities
Introduces MGIC_rv, an information criterion that combines conditional RV likelihood with an effective parameter count for selecting multi-GP models focused on radial velocities.
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KRONOS I: The $1{-}2.8\mu$m JWST Transmission Spectrum of the 23 Myr V1298 Tau c
JWST NIRISS/SOSS data yield a transmission spectrum of the 23 Myr V1298 Tau c showing H2O absorption and an atmospheric metallicity of 14.8^{+56}_{-12} times solar, lower than mature planets of similar mass.
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Mergers Matter: Gravothermal Collapse in Dwarf Halos with Self-Interacting Dark Matter
SIDM simulations of dwarf halos show that quiescent merger histories produce gravothermal core collapse while sustained mergers prevent collapse and can yield central densities below gravothermal fluid model predictions.
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The First Detection of Sub-Populations in the Delay-Time Distribution of Binary Black Holes in GWTC-4 of LIGO-Virgo-KAGRA
GWTC-4 data reveals three sub-populations of binary black holes with distinct delay-time distributions that depend on mass above 45 solar masses, mass-ratio, and spin, ruling out a single universal merger rate.
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OCEANS of Absorption: High-resolution NIRSpec Spectroscopy Reveals Diverse Balmer-line Absorption in Little Red Dots
High-resolution spectra show Balmer absorption in 4/10 LRDs with blue-shifted velocities and exponential wings, supporting a model of co-located partial-covering gas with inflow/outflow gradients.
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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 Virtual Processor brings back the Free Lunch
A decentralized virtual processor automatically exploits parallelism in array programs through local cooperative decisions without a central scheduler.
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RUBIES: The Evolution of the Ionization Parameter from 0 < z < 9
RUBIES JWST sample shows U increases with redshift and sSFR, decreases with mass, rising by a factor of ~4 from z=2 to z=6 at fixed mass and sSFR, with 0.3 dex systematic uncertainty from photoionization model range.
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Ejected Surface Regolith as a Potential Source Material for Centaur Rings
N-body simulations with Swiftest show that surface regolith ejected from ellipsoidal Centaurs can form captured proto-ring disks, with highest efficiency from equatorial avalanches.