Closure Theorems for Some Discrete Subgroups of R k

1968 ◽  
Vol 131 (2) ◽  
pp. 409
Author(s):  
R. P. Gosselin
Keyword(s):  
Discrete Subgroups ◽  
Closure Theorems

scholarly journals Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with q-Difference Operator

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1035
Author(s):  
Cai-Mei Yan ◽  
Rekha Srivastava ◽  
Jin-Lin Liu
Keyword(s):  
Difference Operator ◽  
Necessary Conditions ◽  
Partial Sums ◽  
Coefficient Estimates ◽  
Radius Of Starlikeness ◽  
Closure Theorems ◽  
Sufficient And Necessary Conditions ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems

A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.

SU(2)k MODULAR-INVARIANT PARTITION FUNCTIONS FROM ORBIFOLDS

1991 ◽  
Vol 06 (26) ◽  
pp. 4763-4767 ◽  
Author(s):  
F. ARDALAN ◽  
H. ARFAEI ◽  
S. ROUHANI
Keyword(s):  
Conformal Group ◽  
Partition Functions ◽  
Discrete Subgroups ◽  
Modular Invariant ◽  
Orbifold Construction

We present a method which generates the modular-invariant partition functions of the ADE series of SU(2)k. Dividing the diagonal theory by discrete subgroups of the conformal group, we construct all the modular-invariant partition functions, thus proving that orbifold construction generates all the partition functions of SU(2)k.

Identifying Discrete Subgroups of Chronically Homeless Frequent Utilizers of Jail and Public Mental Health Services

2016 ◽  
Vol 44 (4) ◽  
pp. 511-530 ◽  
Author(s):  
Courtney S. Harding ◽  
Caterina G. Roman
Keyword(s):  
Mental Health ◽  
Unmet Need ◽  
Public Mental Health ◽  
The United States ◽  
Public Institutions ◽  
Homeless Shelters ◽  
Mental Health Systems ◽  
Discrete Subgroups ◽  
Public Mental Health Services ◽  
Current Mood

A sizable group of individuals in the United States cycle in and out of jails, prisons, mental health hospitals, homeless shelters, and other expensive public institutions over time. This little-studied population represents significant unmet need and the inadequacy of services for complex consumers. The current study examined a sample ( N = 161) of chronically homeless frequent utilizers of jail and mental health systems in Chicago, Illinois. Cluster analysis was used to differentiate the sample into four reliable subgroups based on measures for prior homelessness, jail incarcerations, mental health hospitalizations, poor current mood, and limitations due to physical health. Logistic regression revealed that clusters differed significantly on reincarceration at 6 months postrelease. Implications for programming and policy for each cluster are discussed, including suggestions for targeting services to distinguishing characteristics for each subgroup. These findings argue for the importance of coordinating efforts across services systems to better identify and serve shared clients.

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