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Partial descriptions of the Universe are presented in the form of linear equations considered in the free (full, super) Fock space. The universal properties of these equations are discussed. The closure problem caused by computational and…

General Physics · Physics 2010-10-19 Jerzy Hanckowiak

Superresolution fluorescence microscopy techniques beat the diffraction limit, enabling ultra-high resolution imaging in biological physics and nanoscience. In all cases that have been studied experimentally, the resolution scales inversely…

Optics · Physics 2012-10-10 Alexander Small

Reliable, generalizable data foundations are critical for enabling large-scale models in computational lithography. However, essential tasks-mask generation, rule violation detection, and layout optimization-are often handled in isolation,…

Machine Learning · Computer Science 2025-11-17 Qian Jin , Yumeng Liu , Yuqi Jiang , Qi Sun , Cheng Zhuo

FeynGame is an open-source software tool to draw Feynman diagrams, but also to get acquainted with their structure. This article reports on a number of new features which have been added to FeynGame since its first release. These include…

High Energy Physics - Phenomenology · Physics 2024-01-24 Robert Harlander , Sven Yannick Klein , Magnus Schaaf

In general, there is a mismatch between a finite element model {(FEM)} of a structure and its real behaviour. In aeronautics, this mismatch must be small because {FEM}s are a fundamental part of the development of an aircraft and of…

Computational Engineering, Finance, and Science · Computer Science 2026-04-20 Gabriele Dessena , Alessandro Pontillo , Dmitry I. Ignatyev , James F. Whidborne , Luca Zanotti Fragonara

We provide a leading singularity analysis protocol in Baikov representation, for the searching of Feynman integrals with uniform transcendental (UT) weight. This approach is powered by the recent developments in rationalizing square roots…

High Energy Physics - Theory · Physics 2021-08-18 Christoph Dlapa , Xiaodi Li , Yang Zhang

Universality of eigenvalue spacings is one of the basic characteristics of random matrices. We give the precise meaning of universality and discuss the standard universality classes (sine, Airy, Bessel) and their appearance in unitary,…

Mathematical Physics · Physics 2015-01-20 A. B. J. Kuijlaars

We present a novel control strategy for a team of unmanned aerial vehicles (UAVs) to autonomously achieve a desired formation using only visual feedback provided by the UAV's onboard cameras. This effectively eliminates the need for global…

Robotics · Computer Science 2018-09-05 Kaveh Fathian , Emily Doucette , J. Willard Curtis , Nicholas R. Gans

In recent years, there has been a dramatic increase in both practical and research applications of unmanned aerial vehicles (UAVs). According to the literature, there is a need in this area to develop a more refined model of UAV system…

Software Engineering · Computer Science 2020-06-02 Sabah Al-Fedaghi , Jassim Al-Fadhli

Unmanned Aerial Systems (UAS) are currently widely used in safety-critical fields such as industrial production, military operations, and disaster relief. Due to the diversity and complexity of application scenarios, UAS have become…

Software Engineering · Computer Science 2024-06-17 Jianyu Zhang , Long Zhang , Yixuan Wu , Linru Ma , Feng Yang

Implementing arbitrary unitary transformations is crucial for applications in quantum computing, signal processing, and machine learning. Unitaries govern quantum state evolution, enabling reversible transformations critical in quantum…

Quantum Physics · Physics 2024-11-20 Akram Youssry , Alberto Peruzzo

The generalized quantum group $\mathcal{U}(\epsilon)$ of type $A$ is an affine analogue of quantum group associated to a general linear Lie superalgebra $\mathfrak{gl}_{M|N}$. We prove that there exists a unique $R$ matrix on tensor product…

Quantum Algebra · Mathematics 2020-01-14 JaeHoon Kwon , Jeongwoo Yu

In the physics literature the spectral form factor (SFF), the squared Fourier transform of the empirical eigenvalue density, is the most common tool to test universality for disordered quantum systems, yet previous mathematical results have…

Mathematical Physics · Physics 2023-07-26 Giorgio Cipolloni , László Erdős , Dominik Schröder

This paper presents a Genetic Algorithm (GA) designed to reconfigure a large group of modular Unmanned Aerial Vehicles (UAVs), each with different weights and inertia parameters, into an over-actuated flight structure with improved dynamic…

Robotics · Computer Science 2024-07-08 Yao Su , Ziyuan Jiao , Zeyu Zhang , Jingwen Zhang , Hang Li , Meng Wang , Hangxin Liu

Augmenting mechanistic ordinary differential equation (ODE) models with machine-learnable structures is an novel approach to create highly accurate, low-dimensional models of engineering systems incorporating both expert knowledge and…

Dynamical Systems · Mathematics 2022-06-22 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

The idea behind universal coating is to have a thin layer of a specific substance covering an object of any shape so that one can measure a certain condition (like temperature or cracks) at any spot on the surface of the object without…

Emerging Technologies · Computer Science 2016-01-07 Zahra Derakhshandeh , Robert Gmyr , Andrea W. Richa , Christian Scheideler , Thim Strothmann

This paper introduces a novel surrogate modeling framework for aerodynamic applications based on Neural Fields. The proposed approach, MARIO (Modulated Aerodynamic Resolution Invariant Operator), addresses non parametric geometric…

In this paper, we first introduce the concept of an adaptive MRA (AMRA) structure which is a variant of the classical MRA structure suited to the main goal of a fast flexible decomposition strategy adapted to the data at each decomposition…

Numerical Analysis · Mathematics 2009-12-24 Bin Han , Gitta Kutyniok , Zuowei Shen

Firedrake is a new tool for automating the numerical solution of partial differential equations. Firedrake adopts the domain-specific language for the finite element method of the FEniCS project, but with a pure Python runtime-only…

The development of multi-modal learning for Unmanned Aerial Vehicles (UAVs) typically relies on a large amount of pixel-aligned multi-modal image data. However, existing datasets face challenges such as limited modalities, high construction…

Computer Vision and Pattern Recognition · Computer Science 2025-02-14 Liang Yao , Fan Liu , Shengxiang Xu , Chuanyi Zhang , Xing Ma , Jianyu Jiang , Zequan Wang , Shimin Di , Jun Zhou
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