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Capturing the Design Space of Sequential Space-Filling Layouts

IEEE Transactions on Visualization and Computer Graphics, 2012
We characterize the design space of the algorithms that sequentially tile a rectangular area with smaller, fixed-surface, rectangles. This space consist of five independent dimensions: Order, Size, Score, Recurse and Phrase. Each of these dimensions describe a particular aspect of such layout tasks. This class of layouts is interesting, because, beyond
Thomas Baudel, Bertjan Broeksema
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Sequential order of compact sequential spaces

2007
The problem of finding compact Hausdorff sequential spaces of sequential order $\alpha \le \omega_1$ is important and highly nontrivial. A solution has been searched in ZFC, but unsuccessfully up to now. Classically it was solved under CH, and more recently under MA up to order four. We present here a construction of a space of order three that appears
SORANZO, Alessandro, TIRONI G.
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Subspaces of sequential spaces

Mathematical Notes, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Countably, σ-, and Sequentially Barrelled Spaces

Canadian Mathematical Bulletin, 1975
The first author [2] calls a Hausdorff locally convex (abbreviated to l.c.) space (E, u) countably barrelled if each σ(E′, E)-bounded subset of E′ which is the countable union of equicontinuous subsets of E′, is itself equicontinuous.
Husain, T., Khaleelulla, S. M.
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On modular approximants in sequential convergence spaces

Journal of Approximation Theory, 2021
A convex modular on a real vector space \(X\) is a mapping \(\rho:X\to [0,\infty]\) such that:\(\;\) (1) \(\;\rho(x)=0\iff x=0\),\(\;\)(2)\(\;\rho(x)=\rho(-x)\), and (3)\(\; \rho(\alpha x+\beta y)\le \alpha \rho(x)+\beta\rho(y) \) for all \(\alpha,\beta\ge 0\) with \(\alpha+\beta=1\). The vector space \(X_\rho=\{x\in X:\lim_{\lambda\to 0}\rho(\lambda x)
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Sequential reconstruction of lines in projective space

Proceedings of 13th International Conference on Pattern Recognition, 1996
This paper reconstructs structure of lines sequentially in projective space. Grassmann (Plucker) coordinates are used in order to represent the structure of 3D lines. Since intrinsic camera parameters are not known and are changed during motion, the reconstruction is only up to a projectivity.
Yongduek Seo, Ki-Sang Hong
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Sequential convergence in topological vector spaces

Georgian Mathematical Journal, 1995
Abstract For a given linear topology τ, on a vector space E, the finest linear topology having the same τ convergent sequences, and the finest linear topology on E having the same τ precompact sets, are investigated. Also, the sequentially bornological spaces and the sequentially barreled spaces are introduced and some of their ...
Katsaras, A. K., Benekas, V.
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Sequential space methods

2011
The class of sequential spaces and its successive smaller subclasses, the Fréchet spaces and the first-countable spaces, have topologies which are completely specified by their convergent sequences. Because sequences have many advantages over nets, these topological spaces are of interest.
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On sequentially-k-spaces [PDF]

open access: possible, 2007
A topological space X is called k-space if X is a Hausdorff space and X is an image of a locally compact space under a quotient mapping. A natural question arises: when a k-space satisfies that its product with every k-spaces is also a k-space? Michael showed that a k-space has this property iff it is a locally compact space.
openaire  

Fully-sequential space-filling design algorithms for computer experiments

Journal of Quality Technology, 2021
Daniel W Apley
exaly  

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