scholarly journals How slowly can a bounded sequence cluster?

2012 ◽  
Vol 46 (2) ◽  
pp. 195-204
Author(s):  
John Bentin
Keyword(s):  
Bounded Sequence ◽  
Sequence Cluster

scholarly journals Pair Analysis of Field Galaxies from the Red‐Sequence Cluster Survey

2008 ◽  
Vol 683 (1) ◽  
pp. 33-44 ◽  
Author(s):  
B. C. Hsieh ◽  
H. K. C. Yee ◽  
H. Lin ◽  
M. D. Gladders ◽  
D. G. Gilbank
Keyword(s):  
Sequence Cluster ◽  
Cluster Survey ◽  
Pair Analysis ◽  
Red Sequence

VMO Space Associated with Parabolic Sections and its Application

2015 ◽  
Vol 58 (3) ◽  
pp. 507-518
Author(s):  
Ming-Hsiu Hsu ◽  
Ming-Yi Lee
Keyword(s):  
Hardy Space ◽  
Weak Convergence ◽  
Bounded Sequence ◽  
Almost Everywhere Convergence ◽  
Almost Everywhere

AbstractIn this paper we define a space VMO𝒫 associated with a family 𝒫 of parabolic sections and show that the dual of VMO𝒫 is the Hardy space . As an application, we prove that almost everywhere convergence of a bounded sequence in implies weak* convergence

Center Points Of Nets

1975 ◽  
Vol 27 (2) ◽  
pp. 418-422 ◽  
Author(s):  
C. L. Anderson ◽  
W. H. Hyams ◽  
C. K. McKnight
Keyword(s):  
Metric Space ◽  
Limit Point ◽  
Cauchy Sequence ◽  
Bounded Sequence ◽  
Center Point

Suppose x = (x∝) is a net with values in a metric space X having metric ρ. If a point z in X can be found to minimizethen z is called a center point (c.p.) of x. The space X is (netwise) c.p. complete if every bounded net has at least one c.p.; it is sequentially c.p. complete if every bounded sequence has a c.p. Netwise c.p. completeness implies sequential c.p. completeness, and the latter implies completeness since any c.p. of a Cauchy sequence will necessarily be a limit point of that sequence.These notions are related to the set centers of Calder et al. [2].

scholarly journals Axiomatisations of the average and a further generalisation of monotonic sequences

1974 ◽  
Vol 15 (1) ◽  
pp. 63-65 ◽  
Author(s):  
John Bibby
Keyword(s):  
Bounded Sequence ◽  
Monotonic Sequence

A bounded monotonic sequence is convergent. This paper shows that a bounded sequence which is g-monotonic (to be defined) also converges. The proof generalises one attributed to Professor R. A. Rankin by Copson [1]. The theorem requires two definitions: the first axiomatises the notion of “average“ and the second generalises the concept of monotonicity.

scholarly journals Constraints on Ωmand σ8from Weak Lensing in Red‐Sequence Cluster Survey Fields

2002 ◽  
Vol 577 (2) ◽  
pp. 595-603 ◽  
Author(s):  
Henk Hoekstra ◽  
Howard K. C. Yee ◽  
Michael D. Gladders
Keyword(s):  
Weak Lensing ◽  
Sequence Cluster ◽  
Cluster Survey ◽  
Red Sequence

scholarly journals Chandra X-ray observations of newly discovered, z∼1 clusters from the red-sequence cluster survey

2005 ◽  
Vol 36 (4) ◽  
pp. 706-709 ◽  
Author(s):  
A.K. Hicks ◽  
E. Ellingson ◽  
M. Bautz ◽  
H.K.C. Yee ◽  
M. Gladders ◽  
...  
Keyword(s):  
X Ray ◽  
Sequence Cluster ◽  
Cluster Survey ◽  
Red Sequence

scholarly journals Episodic disc accretion in the halo of the ‘old’ pre-main-sequence cluster η Chamaeleontis★

2010 ◽  
Vol 411 (1) ◽  
pp. L51-L55 ◽  
Author(s):  
Simon J. Murphy ◽  
Warrick A. Lawson ◽  
Michael S. Bessell ◽  
Daniel D. R. Bayliss
Keyword(s):  
Main Sequence ◽  
Sequence Cluster
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