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
Title resolution pending
Mixed citation behavior. Most common role is background (50%).
525
Pith papers citing it
21.8k
external citations · Crossref
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.
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
-
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.
-
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.
-
The First Model-Independent Upper Bound on Micro-lensing Signature of the Highest Mass Binary Black Hole Event GW231123
No definitive lensing is detected in GW231123, though a potential microlensing feature with modulation amplitude up to 0.8 at 95% confidence is noted, limited by large waveform systematics in short signals.
-
Efficient Search for Detection Candidates Using a Peak Finder Strategy for All-Sky-All-Frequency Gravitational Wave Radiometer
Introduces a Peak Finder algorithm that selects representative candidates in ASAF GW radiometer searches, reducing false dismissal rate by a factor of 3 when following up 2 candidates at 30 Hz compared to the full-sky approach.
-
Mapping the star formation peak with LIGO A# and Next-Generation detectors
Simulations show LIGO-A# constrains the peak redshift of binary black hole merger rate (tracing star formation) to ±0.1 in one year, improving to ±0.02 with next-generation detectors.
-
GWTC-5.0: Methods for Identifying and Characterizing Gravitational-wave Transients
Describes the methods for producing the fifth gravitational-wave transient catalog (GWTC-5.0) from O4b data of LIGO, Virgo and KAGRA.
-
GWTC-5.0: An Introduction to Version 5.0 of the Gravitational-Wave Transient Catalog
GWTC-5.0 is a data release documenting over 300 gravitational-wave events from compact binary mergers observed through early 2025.