Cluster sets and corona theorems

1977 ◽  
pp. 103-106
Author(s):  
Stephen Scheinberg
Keyword(s):  
Cluster Sets

Intersections of Qualitative Cluster Sets

1979 ◽  
Vol 5 (2) ◽  
pp. 303
Author(s):  
Layek
Keyword(s):  
Cluster Sets

On Cluster Sets And Essential Cluster Sets

1977 ◽  
Vol 3 (1) ◽  
pp. 25
Author(s):  
Layek ◽  
Mukhopadhyay
Keyword(s):  
Cluster Sets

scholarly journals Holomorphic functions with large cluster sets

2021 ◽  
Author(s):  
Thiago R. Alves ◽  
Daniel Carando
Keyword(s):  
Holomorphic Functions ◽  
Large Cluster ◽  
Cluster Sets

scholarly journals An Efficient Method of Key-Frame Extraction Based on a Cluster Algorithm

2013 ◽  
Vol 39 (1) ◽  
pp. 15-23 ◽  
Author(s):  
Gavin L. Moir ◽  
Bruce W. Graham ◽  
Shala E. Davis ◽  
John J. Guers ◽  
Chad A. Witmer
Keyword(s):  
Mechanical Characteristics ◽  
Physiological Mechanisms ◽  
Repetition Maximum ◽  
Key Frame ◽  
Concentric Force ◽  
Cluster Set ◽  
Rest Periods ◽  
Cluster Sets ◽  
Stretch Shortening Cycle ◽  
Analysis System

Abstract The purpose of the present study was to investigate the effects of different configurations of repetitions within a set of deadlifts on the mechanical variables of concentric force, concentric time under tension, impulse, work, power, and fatigue. Eleven resistance trained men (age: 21.9 ± 1.0 years; deadlift 1 repetition maximum: 183.2 ± 38.3 kg) performed four repetitions of the deadlift exercise with a load equivalent to 90% of 1 repetition maximum under three different set configurations: Traditional (continuous repetitions); Doubles cluster (repetitions 1 and 2, and 3 and 4 performed continuously with a 30 s rest inserted between repetitions 2 and 3); Singles cluster (30 s rest provided between repetitions). The order of the sessions was counterbalanced across the subjects and the mechanical variables were calculated during each repetition from the synchronized signals recorded from force platforms and a motion analysis system. Relative to the Traditional set, the insertion of rest periods in the cluster set configurations resulted in greater time under tension (p < 0.001) and therefore, greater impulse (p < 0.001) during the repetitions. Reductions in power were observed during the cluster sets compared to the Traditional set (p = 0.001). The Doubles cluster set resulted in greater fatigue scores for power compared to the Traditional set (p = 0.04). The influence of cluster sets on mechanical variables appears to be mediated by the mechanical characteristics of the exercise (i.e. stretch-shortening cycle) and the competing physiological mechanisms of fatigue and potentiation.

scholarly journals Maximal Cluster Sets of L-Analytic Functions Along Arbitrary Curves

2006 ◽  
Vol 25 (2) ◽  
pp. 211-219 ◽  
Author(s):  
L. Bernal-Gonzalez ◽  
A. Bonilla ◽  
M.C. Calderon-Moreno ◽  
J.A. Prado-Bassas
Keyword(s):  
Analytic Functions ◽  
Cluster Sets

scholarly journals Study Protocol: A Hybrid Delivery of Home-Based Cluster Set Resistance Training for Individuals Previously Treated for Lung Cancer

2021 ◽  
Author(s):  
Ciaran M Fairman ◽  
Otis L Owens ◽  
Kristina L Kendall ◽  
James Steele ◽  
C Latella ◽  
...  
Keyword(s):  
Quality Of Life ◽  
Lung Cancer ◽  
Resistance Training ◽  
Physical Function ◽  
Physical Decline ◽  
Hybrid Delivery ◽  
Cluster Set ◽  
Home Based ◽  
Cluster Sets

Abstract Background: Symptom burden remains a critical concern for individuals with non-small cell lung cancer (NSCLC) following the completion of treatment. The most common symptom clusters, dyspnea (shortness of breath) and fatigue,can contribute to physical decline, reductions in quality of life, and a higher risk of comorbidities and mortality. Dyspnea is a primary limiter of exercise capacity in individuals with lung cancer, resulting in exercise avoidance and an accelerated physical decline. As such, designing resistance training with cluster sets to mitigate symptoms of dyspnea and fatigue may result in improved exercise tolerance. Thus, maintainingthe exercise stimulus via cluster sets, combined with improved tolerance of the exercise, could result in maintenance of physical function and quality of life. The purpose of this study is to investigate the feasibility and preliminary efficacy of a hybrid-delivery home-based cluster-set resistance training program in individuals with NSCLC. Methods: Individuals with NSCLC (n=15), within 12-months of completion of treatment will be recruited to participate in this single arm feasibility trial. Participants will complete 8-weeks of home-based resistance training designed to minimizedyspnea and fatigue. The hybrid-delivery of the program will include supervised sessions in the participants’ home, and virtual supervision via video conferencing. The primary outcome of feasibility will be quantifiedby recruitment rates, retention, acceptability, and intervention fidelity. Exploratory outcomes (dyspnea, fatigue, quality of life, physical function, and body composition) will be assessed pre- and post- intervention. Discussion: This study will provide important data on the feasibility of delivering this intervention and inform procedures for a future randomized controlled trial. Trial Registration: Record not yet public

scholarly journals On directional cluster sets

1983 ◽  
Vol 115 (3) ◽  
pp. 155-161
Author(s):  
Jan Jastrzębski
Keyword(s):  
Cluster Sets

scholarly journals The Initial and Terminal Cluster Sets of an Analytic Curve

2018 ◽  
Vol 61 (2) ◽  
pp. 282-288
Author(s):  
Paul M. Gauthier
Keyword(s):  
Analytic Curve ◽  
Cluster Sets ◽  
Terminal Cluster

AbstractFor an analytic curve γ (a, b) → ℂ, the set of values approached by γ(t), as t ↘ a and as t ↗ b can be any two continua of ℂ ⋃ {∞}.

scholarly journals On global cluster sets for functions meromorphic on some Riemann surfaces

1978 ◽  
Vol 70 ◽  
pp. 1-6 ◽  
Author(s):  
Shigeo Segawa
Keyword(s):  
Riemann Surfaces ◽  
Ideal Boundary ◽  
Open Riemann Surface ◽  
A Value ◽  
Cluster Set ◽  
Global Cluster ◽  
Cluster Sets ◽  
Extended Complex ◽  
Definition Of ◽  
Present Setting

Consider a single-valued meromorphic function w = f(p) defined on an open Riemann surface R with an ideal boundary β. In [1], Collingwood and Cartwright introduced the global cluster set for a function meromorphic on the unit disk. Generalizing the definition of global cluster sets to our present setting, we define the global cluster set for w = f(p) as follows;A value w in the extended complex plane is called a cluster value at β if there exists a sequence in R converging to β such that

Cluster sets

1985 ◽  
pp. 44-69
Author(s):  
Brian S. Thomson
Keyword(s):  
Cluster Sets
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