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%).
525
Pith papers citing it
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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
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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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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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SemanticBridge - A Dataset for 3D Semantic Segmentation of Bridges and Domain Gap Analysis
SemanticBridge provides a new 3D dataset for bridge component segmentation and quantifies sensor-induced domain gaps that drop model performance by up to 11.4% mIoU.
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Objaverse-XL: A Universe of 10M+ 3D Objects
Objaverse-XL supplies over 10 million diverse 3D objects that, when used to render 100 million views, improve zero-shot novel-view synthesis in models such as Zero123.
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Denoising ICF Images with Multiplicative Uniform Noise: A Self-Supervised Study Based on the Log-Domain Noisier2Inverse Framework
Log-Domain Noisier2Inverse achieves 21.41 dB PSNR and 0.8358 SSIM on multiplicative-uniform-noisy ICF images via self-supervised training, with a proof of equivalence to supervised log-domain learning.
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From Spherical to Gaussian: A Comparative Analysis of Point Cloud Cropping Strategies in Large-Scale 3D Environments
Gaussian and related cropping strategies for point cloud subclouds improve 3D neural network performance over spherical cropping on large outdoor scenes.
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Classifying galaxies in the Galaxy10 DECals dataset using Inception and Residual CNNs
ResNet101 and InceptionV4 both reach approximately 90 percent accuracy on ten-class galaxy classification in Galaxy10 DECals, with ResNet101 superior on performance metrics.