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A decomposition of the group algebraof a hyperoctahedral group
Mathematische Zeitschrift, 2016The descent algebra of a finite Coxeter group W is a subalgebra of the group algebra defined by Solomon. Descent algebras of symmetric groups have properties that are not shared by other Coxeter groups.
J. Douglass, Drew E. Tomlin
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Prime filtrations and Stanley decompositions of squarefree modules and Alexander duality
manuscripta mathematica, 2009Let \(K\) be a field, \(S=K[x_1,\dots,x_n]\) the polynomial \(K\)-algebra in \(n\) variables and \(M\) a \({\mathbb Z}^n\)-graded finitely generated \(S\)-module. If \(m\in M\) is a \({\mathbb Z}^n\)-homogeneous element and \(Z\subset \{x_1\dots,x_n\}\) then \(mK[Z]\) is a Stanley space if it is free over \(K[Z]\). A decomposition \(\mathcal D\) of \(M\
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Commutative algebra-enhanced topological data analysis
arXiv.orgTopological Data Analysis (TDA) combines computational topology and data science to extract and analyze intrinsic topological and geometric structures in data set in a metric space.
Chuan-Shen Hu +4 more
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International Conference on Control, Automation and Systems
Mobile robots equipped with differential drive modules on both the front and rear-referred to in this study as Dual Differential Drive Mobile Robots (D3MRs)-pose unique control challenges due to a structural mismatch between modeling and actuation. While
Taemin Kang, Taeyoung Kim, Dongsoo Har
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Mobile robots equipped with differential drive modules on both the front and rear-referred to in this study as Dual Differential Drive Mobile Robots (D3MRs)-pose unique control challenges due to a structural mismatch between modeling and actuation. While
Taemin Kang, Taeyoung Kim, Dongsoo Har
semanticscholar +1 more source
The constriction decomposition method for coverage path planning
IEEE/RJS International Conference on Intelligent RObots and Systems, 2016Stanley Brown, Steven L. Waslander
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An improved stanley guidance law for large curvature path following of unmanned surface vehicle
Ocean Engineering, 2022Xiaofei Yang, , Hui Ye
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Bacillus subtilis biofilm formation and social interactions
Nature Reviews Microbiology, 2021Sofia Arnaouteli +2 more
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