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Coverings by open cells [article]

Mário J. Edmundo, Pantelis Eleftheriou, Luca Prelli
2014 arXiv   pre-print
We prove that in a semi-bounded o-minimal expansion of an ordered group every non-empty open definable set is a finite union of open cells.  ...  Section 3 contains the covering by open cells (Theorem 1.1) for the semi-bounded non-linear case. Notation.  ...  By the inductive hypothesis there exists a finite collection A of open cell in R n contained in W which cover W .  ... 
arXiv:1303.3155v3 fatcat:nuo2e24pgfbwphtny22n43n37a

Switching cloud cover and dynamical regimes from open to closed Benard cells in response to the suppression of precipitation by aerosols

D. Rosenfeld, Y. J. Kaufman, I. Koren
2006 Atmospheric Chemistry and Physics  
Closed cells are nearly fully cloud covered, while the open cells have <40% cloud cover. Here we show that aerosols have a greater than expected impact on the cloud cover by 5  ...  The dynamic structure of the atmospheric marine boundary layer (MBL) supports two distinct states of cloud cover: closed and open Benard cellular convection.  ...  The paper was partially supported by the Israeli Ministry of Science and the Israeli Science Foundation.  ... 
doi:10.5194/acp-6-2503-2006 fatcat:ofpenoiywbhmdnu5cqd3kxsggu

Switching cloud cover and dynamical regimes from open to closed Benard cells in response to the suppression of precipitation by aerosols

D. Rosenfeld, Y. J. Kaufman, I. Koren
2006 Atmospheric Chemistry and Physics Discussions  
Closed cells are nearly fully cloud covered, while the open cells have <40% cloud cover. Here we show that aerosols have a greater than expected impact on the cloud cover by 5  ...  The dynamic structure of the atmospheric marine boundary layer (MBL) supports two distinct states of cloud cover: closed and open Benard cellular convection.  ...  The paper was partially supported by the Israeli Ministry of Science and the Israeli Science Foundation.  ... 
doi:10.5194/acpd-6-1179-2006 fatcat:djqdzcksjzgrzizoh3haghmxnm

Covering manifolds with cells

Richard Osborne, J. L. Stern
1969 Pacific Journal of Mathematics  
By hypothesis M= E ι \]E z where E ί and E 2 are open 3-cells. Thus S can be covered by three open cells.  ...  this union is an open cell for each i. Thus we have covered M n by open cells. Note that if M n were compact, it could be covered by p closed cells with bicollared boundaries.  ... 
doi:10.2140/pjm.1969.30.201 fatcat:gpumecsjvbchrl3gwi36rngxlu

Research on Parameter Distribution Features of Photovoltaic Array under the Cover and Shadow Shading Conditions

Honglu Zhu, Cao Yu, Lingxing Lu, Weiwei Lian, Jianxi Yao, Yang Hu
2018 International Journal of Photoenergy  
Shadowing decreases the optimal operating voltage while covering leads to a decrease in the optimal operating voltage and the open-circuit voltage.  ...  The drop magnitude of voltage is associated with the number of the shaded cell strings and the string voltage.  ...  Acknowledgments This work was supported by the Fundamental Research Funds for the Central Universities (2016MS52, 2016MS31) and China Three Gorges New Energy Co. Ltd.  ... 
doi:10.1155/2018/9207917 fatcat:ltupz556qbd33ibhfuoark7aoi

Homotopy equivalences on $3$-manifolds

Gerard A. Venema
1984 Proceedings of the American Mathematical Society  
It is shown that for every open cover a of X there exists an open cover ß of X such that if / is a /3-equivalence then each /_1(i) is a-cellular in M^ X R1.  ...  Their theorems are true generalizations since a celllike map of ANR's is an a-equivalence for every open cover a of the range while not every a-equivalence is a cell-like map.  ...  By duality Co is homologically trivial and so the Hurewicz Theorem shows that 7r¿(Co) = 0 for all i. D PROOF OF THEOREM 1. Choose ß to be the open cover given by Proposition 1.  ... 
doi:10.1090/s0002-9939-1984-0746105-8 fatcat:lxfjk5473ve5ljk7gvsaak6ukq

Homotopy Equivalences on 3-Manifolds

Gerard A. Venema
1984 Proceedings of the American Mathematical Society  
It is shown that for every open cover a of X there exists an open cover ß of X such that if / is a /3-equivalence then each /_1(i) is a-cellular in M^ X R1.  ...  Their theorems are true generalizations since a celllike map of ANR's is an a-equivalence for every open cover a of the range while not every a-equivalence is a cell-like map.  ...  By duality Co is homologically trivial and so the Hurewicz Theorem shows that 7r¿(Co) = 0 for all i. D PROOF OF THEOREM 1. Choose ß to be the open cover given by Proposition 1.  ... 
doi:10.2307/2044816 fatcat:of66gsa46rcdfbavitf2tpfyge

Effect of some Artificial Diets on Brood Rearing in Three Honeybee Hybrids During The Four Seasons of The Year تأثير بعض بدائل حبوب اللقاح على تربية الحضنة في ثلاثة أنواع من نحل العسل خلال فصول السنة الاربعة

A. Ghanim, S. Awadalla, A. Fatehe, M. Abo Abdalla
2021 Journal of Plant Protection and Pathology  
During spring season, the highest value of the opened and sealed cells was recorded for the Craniolan hybrid (980.13 cells) followed by the buckfast (563.77 cells).  ...  Results showed that the opened and sealed brood rearing cells for the three hybrids had the highest value during autumn for the Craniolan hybrid (906.08 cells) followed by the buckfast (649.58 cells).  ...  For the opened brood cells, the highest value was recorded for the Craniolan hybrid (980.13 cells) followed by the buckfast (563.77 cells).  ... 
doi:10.21608/jppp.2021.205723 fatcat:jxxkgqoocnge7lat2dqmvswg7m

Page 561 of Archives of Pathology & Laboratory Medicine Vol. 49, Issue 5 [page]

1950 Archives of Pathology & Laboratory Medicine  
Cervical glands frequently opened on the surface covered by neoplastic squamous epithelium (fig. 2).  ...  HALPERT BT AL—SQUAMOUS CELL CARCINOMA Sol neoplastic squamous epithelial cells extended beyond the terrain covered by squamous epithelium into areas normally covered by columnar epithelium (fhgs 3} and  ... 

Minimal Cockcroft subgroups

Jens Harlander
1994 Glasgow Mathematical Journal  
If X is a [G, 2]-complex and L is a subgroup of G, let X L denote the covering complex of X corresponding to the subgroup L.  ...  A collection {G a :aeQ.} of subgroups of a group G that is totally ordered by inclusion is called a chain of subgroups of G. Denning /3 < a if and only if G a ^ Gp makes Q into a totally ordered set.  ...  Denote by X the universal covering complex of X and by p the covering projection The preimage p~l(c) of each open cell c in X consists of open cells c g , g e G, such that is a homeomorphism.  ... 
doi:10.1017/s0017089500030585 fatcat:r3jnwj34ubeufdkghjmpukkcie

Predicting altered connectivity of patchy forests under group selection silviculture

Seth W. Bigelow, Sean A. Parks
2009 Landscape Ecology  
Two project areas were fragmented (i.e., did not percolate) prior to treatment, one resisted fragmentation, and the other became fragmented by treatment when analyzed at 30 m cell resolution.  ...  Four * 250 ha project areas were analyzed at three map resolutions in three ways: analyzing forest cover maps for percolation before and after group-selection treatment, placing simulated group openings  ...  Wendell Cropper suggested simulating placement of group selection openings. Programming assistance was provided by the True Basic users' forum and Lora Murphy.  ... 
doi:10.1007/s10980-009-9421-1 fatcat:toqoajrq5vdo3gtkwnuui3pr4e

Automatic generation of octree-based three-dimensional discretizations for Partition of Unity methods

O. Klaas, M. S. Shephard
2000 Computational Mechanics  
The method is based on the definition of overlapping patches comprising a cover of the domain Ω.  ...  The creation of the open cover and the integration cells as described eliminates any global searching for members of the open cover during integration.  ...  In the following we present two examples that show the discretization, i.e. the integration cells and the open cover created by the procedures worked out in this paper.  ... 
doi:10.1007/s004660050478 fatcat:oyut2fnobnfyrky7tirjkm7plu

Page 711 of JAMA Otolaryngology - Head & Neck Surgery Vol. 22, Issue 6 [page]

1935 JAMA Otolaryngology - Head & Neck Surgery  
The removed mucosa was replaced by granulation tissue covered with a layer of stratified epithelium.  ...  Granulation tissue filled the defect to a level even with the height of the original mucosa and was covered by stratified epithelium.  ... 

Scanning Electron Microscope Studies on the Schwann Cells in Rat Motor Endplates with Special Reference to their Finger-like Projections

Takuro OGATA, Yuichi YAMASAKI
1984 Archives of histology and cytology  
Three-dimensional structures of the Schwann cell in the rat motor endplate were observed by scanning and transmission electron microscopy.  ...  From the Schwann cell body, a few processes extended downwards, divided several times and covered only the upper orifice of the synaptic groove; they did not cover the surface of the protuberances or the  ...  Note that the surface of the upper orifice of the synaptic grooves is covered by Schwann cell processes (SP), whereas the small ridge (R) with slit-like openings of junctional folds is not covered by them  ... 
doi:10.1679/aohc.47.533 fatcat:a7osh5ddc5g7hfjd6dula3qsf4

Automatic, sequential power generation for prolonging the net lifetime of a miniature biofuel cell stack

Takeo Miyake, Masato Oike, Syuhei Yoshino, Yohei Yatagawa, Keigo Haneda, Matsuhiko Nishizawa
2010 Lab on a Chip  
The time when the cover was opened by attraction with an external magnet, thereby activating the following cell, was adjustable from a few hours to a few weeks by controlling the weight ratio of Fe 3 O  ...  By using sequential power generation in this way, the net lifetime of the stack has been extended as compared with that of a single biofuel cell.  ...  This work was partly supported by a Health and Labor Sciences Research Grant (Nano Medicine) from the Ministry of Health, Labor and Welfare of Japan, and by a Grant-in-Aid for Creature Scientific Research  ... 
doi:10.1039/c004322b pmid:20676425 fatcat:kkpztptifvexbckta22gqbddsq
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