classical variation
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Design of an Einzel Lens Using Non-Classical Variation Technique

2012 ◽  
Vol 15 (2) ◽  
pp. 84-87
Author(s):  
Fatin A. J. Al-Moudarris ◽  
◽  
Oday A. Hussein ◽  
Maher M. Abd Ali ◽  
◽  
...  
Keyword(s):  
Classical Variation ◽  
Variation Technique

scholarly journals THE FIRST AND SECOND VARIATION OF THE TOTAL ENERGY OF CLOSED DUPLEX DNA IN PLANAR CASE

2010 ◽  
Vol 24 (05) ◽  
pp. 587-597 ◽  
Author(s):  
XIAO-HUA ZHOU
Keyword(s):  
Total Energy ◽  
Equilibrium Shape ◽  
Variation Method ◽  
Second Variation ◽  
General Shape ◽  
Planar Case ◽  
The First Variation ◽  
The Second Variation ◽  
First And Second Variation ◽  
Classical Variation

DNA's shape mostly lies on its total energy F. Its corresponding equilibrium shape equations can be obtained by classical variation method: letting the first energy variation δ(1)F = 0. Here, we not only provide the first variation δ(1)F but also give the second variation δ(2)F in planar case. Moreover, the general shape equations of DNA are abstained and a mistake in Zhang et al., [Phys. Rev. E70, 051902 (2004)] is pointed out.

Haydn and the Classical Variation

Notes ◽  
1995 ◽  
Vol 51 (3) ◽  
pp. 912
Author(s):  
Laszlo Somfai ◽  
Elaine R. Sisman
Keyword(s):  
Classical Variation
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