Zobrazeno 1 - 10
of 238
pro vyhledávání: '"SIDMAN, JESSICA"'
An embedding of the complete bipartite graph $K_{3,3}$ in $\mathbb{P}^2$ gives rise to both a line arrangement and a bar-and-joint framework. For a generic placement of the six vertices, the graded Betti numbers of the logarithmic module of derivatio
Externí odkaz:
http://arxiv.org/abs/2209.04929
Each point $x$ in Gr$(r,n)$ corresponds to an $r \times n$ matrix $A_x$ which gives rise to a matroid $M_x$ on its columns. Gel'fand, Goresky, MacPherson, and Serganova showed that the sets $\{y \in \mathrm{Gr}(r,n) | M_y = M_x\}$ form a stratificati
Externí odkaz:
http://arxiv.org/abs/1908.01233
In recent years, various notions of algebraic independence have emerged as a central and unifying theme in a number of areas of applied mathematics, including algebraic statistics and the rigidity theory of bar-and-joint frameworks. In each of these
Externí odkaz:
http://arxiv.org/abs/1809.00865
Publikováno v:
The American Mathematical Monthly, 2020 Mar 01. 127(3), 199-216.
Externí odkaz:
https://www.jstor.org/stable/48661941
Publikováno v:
Washingtonian Magazine; Dec2024, Vol. 60 Issue 3, p134-139, 6p
Publikováno v:
In Journal of Combinatorial Theory, Series A February 2021 178
Publikováno v:
Proceedings of 25th Canadian Conference on Computational Geometry, pages 199-204, 2013
A bar-and-joint framework is a finite set of points together with specified distances between selected pairs. In rigidity theory we seek to understand when the remaining pairwise distances are also fixed. If there exists a pair of points which move r
Externí odkaz:
http://arxiv.org/abs/1308.3281
Autor:
Farre, James, Kleinschmidt, Helena, Sidman, Jessica, John, Audrey Lee-St., Stark, Stephanie, Theran, Louis, Yu, Xilin
Geometric constraint systems underly popular Computer Aided Design soft- ware. Automated approaches for detecting dependencies in a design are critical for developing robust solvers and providing informative user feedback, and we provide algorithms f
Externí odkaz:
http://arxiv.org/abs/1306.1572
Autor:
John, Audrey Lee-St., Sidman, Jessica
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 of body-a
Externí odkaz:
http://arxiv.org/abs/1210.0451