Results 251 to 260 of about 1,411,417 (298)

Extreme point axioms for closure spaces [PDF]

Discrete Mathematics, 2006
A pair (X,τ) of a finite set X and a closure operator τ:2X→2X is called a closure space. The class of closure spaces includes matroids as well as antimatroids. Associated with a closure space (X,τ), the extreme point operator ex:2X→2X is defined as ex(A)=
Kazutoshi Ando
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Orthodontic Space Closure

Dental Clinics of North America, 1981
We have attempted in this chapter to familiarize the clinician with the management of spaces in the dentition. Understanding the etiology of the spaces will not only aid in the formulation of a proper treatment plan but also help in predicting the stability of the treatment results.
R, Nanda, M A, Torres Diaz
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Homotopy, homology, and persistent homology using closure spaces [PDF]

Journal of Applied and Computational Topology
We develop persistent homology in the setting of filtrations of (Cech) closure spaces. Examples of filtrations of closure spaces include metric spaces, weighted graphs, weighted directed graphs, and filtrations of topological spaces.
Peter Bubenik, Nikola Milicevic
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Asymmetric space closure

American Journal of Orthodontics and Dentofacial Orthopedics, 1986
In a vertically slotted 0.022 X 0.028 inch edgewise system, the use of a two-dimensional ribbon arch--0.022 X 0.016 inch from lateral incisor to lateral incisor and 0.016 X 0.022 inch from the canine to the molars--plus an uprighting spring on the canine maintained incisor position while unilaterally protracting a molar-premolar unit by means of ...
A A, Gianelly, J B, Smith, J R, Bednar, V S, Dietz   +3 more
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The R-completion of closure spaces

Topology and its Applications, 2022
Given a full subcategory \(\mathbf{R}\) of the category \(\mathbf{CL_0}\) of \(T_0\)-closure spaces and continuous maps, satisfying four necessary conditions, the authors construct an \(R\)-completion for closure spaces. This completion is a reflection into the category \(\mathbf{R}\). This general construction is applicable to several known situations.
Zhongxi Zhang, Fu-Gui Shi, Qingguo Li
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Merotopic Spaces and Extensions of Closure Spaces

Canadian Journal of Mathematics, 1983
Proximity spaces and contiguity spaces, and more recently nearness spaces, have been studied not just because they provide various approaches to uniform structure. Possibly of greater importance is that they can be used as a means of introducing compactifications and more general extensions of the topological spaces on which they are defined. Riesz [20]
Chattopadhyay, K. C., Njåstad, Olav, Thron, W. J.   +2 more
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Space-efficient closure representations

Proceedings of the 1994 ACM conference on LISP and functional programming - LFP '94, 1994
Many modern compilers implement function calls (or returns) in two steps: first, a closure environment is properly installed to provide access for free variables in the target program fragment; second, the control is transferred to the target by a “jump with arguments (or results)”. Closure conversion
Zhong Shao 0001, Andrew W. Appel
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Disjunctions in closure spaces

Studia Logica, 1985
This paper is the continuation of the author's investigations on closure spaces [Stud. Logica 43, 341-351 (1984; Zbl 0587.03046)]. The main result presented in the paper gives a characterization of closure spaces with \(\)-regular bases in terms of Q-embeddings preserving disjunctions.
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Interior and closure operators on texture spaces—I: Basic concepts and C˘ech closure operators

Fuzzy Sets and Systems, 2010
This paper is the first of a series of three papers oil the theory of interior and closure operators Here. the theory is discussed from the textural point of view. First.
Senol Dost, Murat Diker, Aysegul Altay Uğur   +2 more
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Stability of extraction space closure

American Journal of Orthodontics and Dentofacial Orthopedics, 2016
The objectives of this study were to evaluate the prevalence and long-term behavior of extraction space reopening in patients with Class I malocclusion and to identify some associated factors.A sample of 43 patients met the inclusion criteria. Dental casts at the onset of treatment, after treatment, and 1 and 5 years after debonding were used.
Daniela Gamba, Garib, Larissa Borges, Bressane, Guilherme, Janson, Bruno Frazão, Gribel   +3 more
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