The Shadow Zone Explained with Illustrations and Trigonometric Functions

2021 ◽  
Vol 74 (0) ◽  
pp. 117-124
Author(s):  
Mamoru KATO
2013 ◽  
Vol 4 (2) ◽  
pp. 20-28
Author(s):  
Farhad Soleimanian Gharehchopogh ◽  
Hadi Najafi ◽  
Kourosh Farahkhah

The present paper is an attempt to get total minimum of trigonometric Functions by Simulated Annealing. To do so the researchers ran Simulated Annealing. Sample trigonometric functions and showed the results through Matlab software. According the Simulated Annealing Solves the problem of getting stuck in a local Maxterm and one can always get the best result through the Algorithm.


Author(s):  
Mariusz Pawlak ◽  
Marcin Stachowiak

AbstractWe present general analytical expressions for the matrix elements of the atom–diatom interaction potential, expanded in terms of Legendre polynomials, in a basis set of products of two spherical harmonics, especially significant to the recently developed adiabatic variational theory for cold molecular collision experiments [J. Chem. Phys. 143, 074114 (2015); J. Phys. Chem. A 121, 2194 (2017)]. We used two approaches in our studies. The first involves the evaluation of the integral containing trigonometric functions with arbitrary powers. The second approach is based on the theorem of addition of spherical harmonics.


2021 ◽  
Vol 94 (2) ◽  
pp. 132-134
Author(s):  
Bonaventura Paolillo ◽  
Giovanni Vincenzi

2003 ◽  
Vol 44 (1) ◽  
pp. 3-26
Author(s):  
CHRISTIAN PAPILLOUD

Marcel Mauss never provides us with his conception of politics as he conceives it as a scientific. However, this relationship would have been clear for the scholars who dealt with his life and works. The unpublished text that we present will not only enlighten this shadow zone. It also presents the idea of politics cultivated by Mauss as the scientific he was in the last moments of his intellectual life.


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