Results 1 to 10 of about 4,133 (247)

A Lie group-based hybrid optimization framework for multi-objective UAV path planning using L-VGWO [PDF]

Scientific Reports
To address the challenges of high-precision pose alignment, dynamic path smoothness, and efficient multi-objective optimization in three-dimensional UAV path planning under complex environments, this study proposes the Lie Group-based Griffon Vulture ...
Yadong Wang, Chaoyu Guo, Yifan Shao, Lulu Zheng, Xuefeng Deng   +4 more
doaj   +2 more sources

Perfect graphs and complex surface singularities with perfect local fundamental group

Tohoku Mathematical Journal, 1989
An isolated singularity x of a complex surface (X,\({\mathcal O}_ x)\) is \textit{perfect}, or \textit{homological trivial}, if the local fundamental group \(\pi_ 1(\partial U_ x)\) is a perfect group, where \(U_ x\) is a contractible neighborhood of x in X.
Daniel Drucker
exaly   +3 more sources

Local Transformations with Fixed Points on Complex Spaces with Singularities [PDF]

Proceedings of the National Academy of Sciences of the United States of America, 1952
S Bochner, Bochner S
exaly   +4 more sources

On the vanishing of local homotopy groups for isolated singularities of complex spaces.

Journal Fur Die Reine Und Angewandte Mathematik, 1981
Helmut A Hamm
exaly   +2 more sources

Singularities of complex surfaces with solvable local fundamental group

Topology, 1972
Philip Wagreich
exaly   +3 more sources

The Poincaré Index on Singular Varieties

J, 2022
In this paper, we discuss a few simple methods for computing the local topological index and its various analogs for vector fields and differential forms given on complex varieties with singularities of different types.
Alexander G. Aleksandrov
doaj   +1 more source

The Poincaré Index and Its Applications

Universe, 2022
We discuss an approach to the problem of calculating the local topological index of vector fields given on complex spaces or varieties with singularities developed by the author over the past few years. Our method is based on the study of the homology of
Alexander G. Aleksandrov
doaj   +1 more source

Mapping local singularities using magnetic data to investigate the volcanic rocks of the Qikou depression, Dagang oilfield, eastern China [PDF]

Nonlinear Processes in Geophysics, 2013
The spatial structural characteristics of geological anomaly, including singularity and self-similarity, can be analysed using fractal or multifractal modelling. Here we apply the multifractal methods to potential fields to demonstrate that singularities
G. Chen, Q. Cheng, T. Liu, Y. Yang
doaj   +1 more source

Proliferation of non-linear excitations in the piecewise-linear perceptron

SciPost Physics, 2021
We investigate the properties of local minima of the energy landscape of a continuous non-convex optimization problem, the spherical perceptron with piecewise linear cost function and show that they are critical, marginally stable and displaying a set of
Antonio Sclocchi, Pierfrancesco Urbani
doaj   +1 more source

Celestial insights into the S-matrix bootstrap

Journal of High Energy Physics, 2022
We consider 2-2 scattering in four spacetime dimensions in Celestial variables. Using the crossing symmetric dispersion relation (CSDR), we recast the Celestial amplitudes in terms of crossing symmetric partial waves.
Sudip Ghosh, Prashanth Raman, Aninda Sinha   +2 more
doaj   +1 more source