A Course of Modern Analysis: An introduction to the General Theory of Infinite Processes and of Analytical Functions; With an Account of the Principal Transcendental Functions

1916 ◽  
Vol 8 (124) ◽  
pp. 306
Author(s):  
E. T. Whittaker ◽  
G. N. Watson
Keyword(s):  
General Theory ◽  
Analytical Functions ◽  
Modern Analysis ◽  
Transcendental Functions

scholarly journals Equivalent Analytical Functions of Sums of Sigmoid like Transcendental Functions

2018 ◽  
Vol 3 (2) ◽  
pp. 403-408 ◽  
Author(s):  
J. Takács
Keyword(s):  
Analytical Method ◽  
Computer Assisted ◽  
Mathematical Solution ◽  
Equivalent Function ◽  
Numerical Computer ◽  
Analytical Functions ◽  
Numerical Process ◽  
Transcendental Functions ◽  
Mathematical Operations

AbstractThere is no mathematical solution to adding up transcendental functions other than numerical process. This paper put forward analytical method to model the sum of sigmoid like functions with an equivalent function. The Brillouin and Langevin as well as the error function, the tanh, sigmoid and the tan-1 functions are investigated, their equivalent functions are calculated for four components and the error between the numerical (computer assisted) result and the equivalent function is tested for accuracy. The best modelling function, the most useful to include into mathematical operations, is pointed out finally, based on its performance and convenience. The paper intends to help people involved mostly in modelling hysteresis in Magnetism and other field of research in physics.

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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