The Kirkwood–Salsburg equations for a bounded stable Kac potential. I. General theory and asymptotic solutions

1977 ◽  
Vol 18 (9) ◽  
pp. 1729-1734 ◽  
Author(s):  
N. Grewe ◽  
W. Klein
Keyword(s):  
General Theory ◽  
Asymptotic Solutions ◽  
Kac Potential

Derivation of Green-type, transitional, and uniform asymptotic expansions from differential equations I. General theory, and application to modified Bessel functions of large order

1964 ◽  
Vol 281 (1384) ◽  
pp. 99-110 ◽  
Keyword(s):  
General Theory ◽  
Differential Equations ◽  
Asymptotic Expansions ◽  
Bessel Functions ◽  
Asymptotic Solutions ◽  
Modified Bessel Functions ◽  
Mellin Transforms ◽  
Convenient Procedure ◽  
Uniform Expansions ◽  
Uniform Asymptotic Expansions

The problem of deriving Green-type asymptotic solutions from differential equations of general form d 2 y /dz 2 = X(a 2 >, z)y , for large values of a 2 , is reformulated. Combination of this formulation with the method of Mellin transforms leads further to a particularly convenient procedure for finding asymptotic expansions valid in transitional regions, and general uniform expansions. The methods are illustrated by detailed calculations for modified Bessel functions.

Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

2018 ◽  
Vol 41 ◽  
Author(s):  
Daniel Crimston ◽  
Matthew J. Hornsey
Keyword(s):  
General Theory ◽  
Biological Markers ◽  
Natural Environment ◽  
Relevant Dimension ◽  
Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

Review of A General Theory of Crime.

1992 ◽  
Vol 37 (11) ◽  
pp. 1225-1225
Author(s):  
No authorship indicated
Keyword(s):  
General Theory ◽  
General Theory Of Crime ◽  
Theory Of Crime
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