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On convolutions on configuration spaces. II. spaces of locally finite configurations
Ukrainian Mathematical Journal, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Maximal Spacing Configurations in Graphs
Combinatorics, Probability and Computing, 1997Subsets of given cardinality of vertices of a fixed graph are sought which maximize two dispersion measures: the average over the chosen vertices of their average (resp. minimal) distance to all other chosen vertices. Complete descriptions of optimal solutions for both cases are obtained for any cycle-graph.
Firby, Peter, Haviland, Julie
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Configuration Space of Geometric Objects
Cybernetics and Systems Analysis, 2018This paper reviews the concept of configuration space of geometric objects as it is applied to various placement, packing and covering problems. Extensive references to the literature are included. At the end of the paper the authors define generalized $\Phi$-functions and normalized generalized $\Phi$-functions.
Stoyan, Y. G., Yakovlev, S. V.
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A Compactification of Configuration Spaces
The Annals of Mathematics, 1994The authors introduce and study a natural and very nice compactification \(X[n]\) of the configuration space \(F(X,n)\) of \(n\) distinct labeled points in a nonsingular algebraic variety \(X\). \(X[n]\) is nonsingular and may be obtained from the cartesian product \(X^ n\) by a sequence of blow-ups. The locus of the degenerate configurations, \(X[n] -
Fulton, William, MacPherson, Robert
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Dimensional regularization in configuration space
Physical Review D, 1996Dimensional regularization is introduced in configuration space by Fourier transforming in {nu} dimensions the perturbative momentum space Green functions. For this transformation, the Bochner theorem is used; no extra parameters, such as those of Feynman or Bogoliubov and Shirkov, are needed for convolutions.
, Bollini, , Giambiagi
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A configuration space friction cone
Proceedings IROS '91:IEEE/RSJ International Workshop on Intelligent Robots and Systems '91, 2002Provides a geometric representation of friction for a rigid planar part with two translational and one rotational degrees of freedom. The construction of a generalized friction cone is accomplished by imbedding into the part's configuration space the constraints that define the classical friction cone in real space.
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Configuration Spaces and Their Configurational Relationalism
2017We develop here a very general ‘G-Act G-All’ implementation of Configurational Relationalism using group and fibre bundle mathematics. This refers to attaining group invariance by following group action by an operation using all of the group. It is useful in the study of configuration spaces, of which the freely available online Appendices G, H, I and ...
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We propose Space Configuration Theory, a novel geometric framework postulating that spaceis fundamentally a two-dimensional (2D) flat manifold. The apparent three-dimensional (3D)nature of space emerges from curvature induced by the probabilistic distribution of matter.Matter density, modeled as a stochastic field, deforms the 2D manifold, with the ...
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Partial Configuration Spaces as Pullbacks of Diagrams of Configuration Spaces
2020Partial configuration spaces are a version of ordinary configuration spaces where some points are allowed to coincide. We express these spaces as pullbacks of diagrams of ordinary configuration spaces and provide some examples where the limit coincides with the homotopy limit.
Amy Q. H. Li, Ismar Volić
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2011
The idea of learning space has many attractions, but it holds traps for the unwary. The idea is at once educationally expansive, potentially emancipatory and even subversive. It opens up the hope of students becoming authors of their own learning in spaces that they claim as their own.
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The idea of learning space has many attractions, but it holds traps for the unwary. The idea is at once educationally expansive, potentially emancipatory and even subversive. It opens up the hope of students becoming authors of their own learning in spaces that they claim as their own.
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