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Related papers: Realizations of Isostatic Material Frameworks

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We present a new scheme to efficiently establish entanglement between optical modes in a time-multiplexed coherent Ising machine (CIM) by means of nonlocal measurement and feedback. We numerically simulate and evaluate the generation of…

Quantum Physics · Physics 2019-06-13 Ryotatsu Yanagimoto , Peter L. McMahon , Edwin Ng , Tatsuhiro Onodera , Hideo Mabuchi

In this article, we investigate electrostatic systems with a nonzero cosmological constant on compact manifolds with boundary. We establish new geometric properties for electrostatic manifolds in higher dimensions, extending previous…

Differential Geometry · Mathematics 2026-01-16 Allan Freitas , Benedito Leandro , Ernani Ribeiro , Guilherme Sabo

The aim of this paper is to establish the framework of the enclosure method for some class of inverse problems whose governing equations are given by parabolic equations with discontinuous coefficients. The framework is given by considering…

Analysis of PDEs · Mathematics 2011-09-21 Masaru Ikehata

Positive semidefinite (PSD) matrices are indispensable in many fields of science. A similarity measurement for such matrices is usually an essential ingredient in the mathematical modelling of a scientific problem. This paper proposes a…

Numerical Analysis · Mathematics 2023-12-22 Peng Liu , Ke Ye

A mechanical model and numerical method for the simultaneous analysis of Reissner-Mindlin shells with geometries implied by a continuous set of level sets (isosurfaces) over some three-dimensional bulk domain is presented. A…

Computational Engineering, Finance, and Science · Computer Science 2025-02-14 Michael Wolfgang Kaiser , Thomas-Peter Fries

Recent work has shown that if an isostatic bar and joint framework possesses non-trivial symmetries, then it must satisfy some very simply stated restrictions on the number of joints and bars that are `fixed' by various symmetry operations…

Metric Geometry · Mathematics 2009-07-14 Bernd Schulze

In this note, we construct new solutions to the heterotic $\mathrm{G}_2$-system with non-abelian gauge group, both compact and non-compact, on certain $2$-step nilmanifolds and $3$-Sasakian manifolds. Our approach is based on an ansatz that…

Differential Geometry · Mathematics 2026-05-08 Viviana del Barco , Udhav Fowdar , Andrés J. Moreno

We propose a data-driven Machine-Learning Symmetry Discovery (MLSD) framework for identifying continuous symmetry generators and their Lie-algebraic structure directly from phase-space trajectory data expressed in canonical coordinates.…

Disordered Systems and Neural Networks · Physics 2026-01-21 Wanda Hou , Molan Li , Yi-Zhuang You

We argue that the standard classification of isometric deformations into infinitesimal v.s. finite is inadequate for the study of compliant shell mechanisms. Indeed, many compliant shells, particularly ones that are periodically corrugated,…

Differential Geometry · Mathematics 2023-10-13 Hussein Nassar , Andrew Weber

We study the rigidity of body-and-cad frameworks which capture the majority of the geometric constraints used in 3D mechanical engineering CAD software. We present a combinatorial characterization of the generic minimal rigidity of a subset…

Discrete Mathematics · Computer Science 2012-10-19 Audrey Lee-St. John , Jessica Sidman

Graph isomorphism is an important problem as its worst-case time complexity is not yet fully understood. In this study, we try to draw parallels between a related optimization problem called point set registration. A graph can be…

Optimization and Control · Mathematics 2021-11-19 Yigit Oktar

Manifold learning techniques for nonlinear dimension reduction assume that high-dimensional feature vectors lie on a low-dimensional manifold, then attempt to exploit manifold structure to obtain useful low-dimensional Euclidean…

Machine Learning · Statistics 2021-10-25 Michael W. Trosset , Gokcen Buyukbas

In this work, we reconsider the study of 2D materials involving double lattice structures associated with periodic polygons. In tessellated periodic representation, it appears two periodic polygons of $k$ sides of unequal side lengths at…

Materials Science · Physics 2019-05-30 Adil Belhaj , Salah Eddine Ennadifi

We introduce combinatorial types of arrangements of convex bodies, extending order types of point sets to arrangements of convex bodies, and study their realization spaces. Our main results witness a trade-off between the combinatorial…

Metric Geometry · Mathematics 2015-06-23 Michael Gene Dobbins , Andreas Holmsen , Alfredo Hubard

We present fully dynamic approximation algorithms for the Maximum Independent Set problem on several types of geometric objects: intervals on the real line, arbitrary axis-aligned squares in the plane and axis-aligned $d$-dimensional…

Data Structures and Algorithms · Computer Science 2020-07-20 Sujoy Bhore , Jean Cardinal , John Iacono , Grigorios Koumoutsos

Due to their flexibility, frames of Hilbert spaces are attractive alternatives to bases in approximation schemes for problems where identifying a basis is not straightforward or even feasible. Computing a best approximation using frames,…

Numerical Analysis · Mathematics 2020-07-08 Ben Adcock , Mohsen Seifi

We present a symmetry-based exhaustive approach to explore the structural and compositional richness of two-dimensional materials. We use a ``combinatorial engine'' that constructs potential compounds by occupying all possible Wyckoff…

Materials Science · Physics 2023-04-25 Hai-Chen Wang , Jonathan Schmidt , Miguel A. L. Marques , Ludger Wirtz , Aldo H. Romero

We present experimental results to explore a form of bivariate glyphs for representing large-magnitude-range vectors. The glyphs meet two conditions: (1) two visual dimensions are separable; and (2) one of the two visual dimensions uses a…

Human-Computer Interaction · Computer Science 2023-01-03 Henan Zhao , Garnett W. Bryant , Wesley Griffin , Judith E. Terrill , Jian Chen

We study the constraints of crossing symmetry and unitarity for conformal field theories in the presence of a boundary, with a focus on the Ising model in various dimensions. We show that an analytic approach to the bootstrap is feasible…

High Energy Physics - Theory · Physics 2015-06-11 Pedro Liendo , Leonardo Rastelli , Balt C. van Rees

A framework for virtual reality of engineering objects has been developed. This framework may simulate different equipment related to virtual reality. Framework supports 6D dynamics, ordinary differential equations, finite formulas, vector…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Petr R. Ivankov , Nikolay P. Ivankov
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