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Restricted tangent bundle of rational curves on projective hypersurfaces

We determine all triples (e, d, n) for which a general degree d hypersurface X ⊂ P n contains a degree e rational curve C with balanced restricted tangent bundle TX|C . In addition, we show how to compute explicit examples of hypersurfaces with balanced TX|C when C is a …

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An Introduction to Neural Networks

Neural networks are a foundational component of modern artificial intelligence (AI), inspired by the structure and functioning of the human brain. These computational models consist of layers of interconnected nodes, or “neurons,” that process data by learning patterns and relationships from input information. Neural networks enable machines to perform tasks …

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Supermassive Stars Match the Spectral Signatures of JWST's Little Red Dots

The James Webb Space Telescope (JWST) has unveiled a population of enigmatic, compact sources at high redshift known as “Little Red Dots” (LRDs), whose physical nature remains a subject of intense debate. Concurrently, the rapid assembly of the first supermassive black holes (SMBHs) requires the formation of heavy seeds, for …

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Bar-driven Streaming Motions Mimic a Massive Bulge in the Inner Milky Way

The circular speed curve of the Milky Way provides a key constraint on its mass distribution, reflecting the axisymmetric component of the gravitational potential. This is especially critical in the inner Galaxy (R . 4 kpc), where non-axisymmetric structures such as the stellar bar and nuclear stellar disk strongly influence …

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Fine-structure Line Atlas for Multi-wavelength Extragalactic Study

In the final paper of this series, we discuss new perspectives and challenges in the study of interstellar medium (ISM), leveraging comprehensive catalogs and physical insights presented in our previous papers. We focus on key questions of far-infrared (FIR) fine-structure lines (FSLs): their origins, diagnostic value, and implications of correlations. …

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Stochastic star formation activity of galaxies within the first billion years probed by JWST

Early observations with the James Webb Space Telescope have highlighted the excess of UV-bright galaxies at z > 10, with a derived UV luminosity function (UVLF) that exhibits a softer evolution than expected. This unexpected trend may result from several proposed mechanisms, including a high star formation efficiency (SFE) or …

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Probing the nature of gravity in the low-acceleration limit

Recent statistical analyses of wide binaries have revealed a boost in gravitational acceleration with respect to the prediction by Newtonian gravity at low internal accelerations ≲ 10−9 m s−2 . This phenomenon is important because it does not permit the dark matter interpretation, unlike galaxy rotation curves. We extend previous …

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Unraveling the Feedback-Regulated Star Formation Activities around the Expanding Galactic MIR Bubble

We explore the physical environment of the Galactic mid-infrared (MIR) bubble [HKS2019] E71 (hereafter E71) through a multi-wavelength approach. E71 is located at the edge of a filamentary structure, as traced in Herschel images (250–500 µm), Herschel column density map, and molecular maps in the velocity range [−20, −14] km …

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Where is the Supervirial Gas? III. Insights from X-ray Shadow Observations and a revised Model

Shadow observations provide a powerful tool to separate foreground components of the soft diffuse X-ray background (SDXB) from the background components. Such observations have now established that the “local” foreground is made of the solar wind charge exchange and the local bubble, and the background emission is from the extended …

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The Star Formation History and Evolution of the Ultra-Diffuse M81 Satellite, F8D1

We present deep HST imaging of one of the nearest ultra-diffuse galaxies (UDGs) outside of the Local Group: F8D1, a satellite of M81 known to be tidally disrupting. UDGs are an enigmatic and diverse population, with evolutionary pathways ranging from tidal processing to bursty feedback and high initial angular momentum. …

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A Comprehensive Overview of Large Language Models

Large Language Models (LLMs) have emerged as a transformative force in natural language processing (NLP), enabling machines to understand, generate, and interact using human language with remarkable fluency. Built on deep learning architectures like the Transformer, models such as GPT, BERT, and LLaMA are trained on massive text corpora, allowing …

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Deep Learning

Deep learning, a subset of machine learning and artificial intelligence (AI), has revolutionized the landscape of data-driven technologies by enabling machines to mimic the human brain’s capacity to learn from vast amounts of unstructured data. Rooted in artificial neural networks, deep learning models are composed of multiple layers that extract …

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Model-Driven Deep Neural Network for Enhanced AoA Estimation Using 5G gNB

High-accuracy positioning has become a fundamental enabler for intelligent connected devices. Nevertheless, the present wireless networks still rely on model-driven approaches to achieve positioning functionality, which are susceptible to performance degradation in practical scenarios, primarily due to hardware impairments. Integrating artificial intelligence into the positioning framework presents a promising solu …

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Antarjami: Exploring psychometric evaluation through a computer-based game

A number of questionnaire based psychometric testing frameworks are commonly used in the industry and academia for example OCEAN (Five factor) indicator, MBTI (Myer’s Brigg Type Indicator) etc. However, questionnaire based psychometric tests have some shortcomings. This work explores whether some of these shortcomings can be overcome through computer-based gaming …

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