Striking patterns in natural magic squares’ associated electrostatic potentials: Matrices of the 4th and 5th order

2021 ◽  
Vol 344 (3) ◽  
pp. 112229
Author(s):  
Peyman Fahimi ◽  
Cyrus Ahmadi Toussi ◽  
Walter Trump ◽  
Javad Haddadnia ◽  
Chérif F. Matta
Keyword(s):  
Electrostatic Potentials ◽  
Magic Squares

A Graphical Method to Study Electrostatic Potentials of 25 nm Channel Length DG SOI MOSFETs

2018 ◽  
Vol 10 (4) ◽  
pp. 04027-1-04027-4
Author(s):  
M. Djerioui ◽  
◽  
M. Hebali ◽  
D. Chalabi ◽  
A. Saidane ◽  
...  
Keyword(s):  
Graphical Method ◽  
Channel Length ◽  
Electrostatic Potentials

Some Approximate Atomic and Molecular Energy Formulas

2003 ◽  
Vol 68 (1) ◽  
pp. 61-74 ◽  
Author(s):  
Peter Politzer ◽  
Abraham F. Jalbout ◽  
Ping Jin
Keyword(s):  
Density Functional ◽  
Electrostatic Potentials ◽  
Hartree Fock ◽  
Chemical Potentials ◽  
Approximate Formulas

We have tested several approximate formulas that relate atomic and molecular energies to the electrostatic potentials at the nuclei, V0 and V0,A, respectively. They are based upon the assumption that the chemical potentials can be neglected relative to V0 and V0,A. Exact, Hartree-Fock and density-functional values were used for the latter. The results are overall encouraging; the errors in the energies generally decrease markedly as the nuclear charges Z increase and the assumptions become more valid. Improvement is needed, however, in fitting the V0 and V0,A to Z.

Magic Squares of Squares

1996 ◽  
Vol 69 (4) ◽  
pp. 289-293 ◽  
Author(s):  
John P. Robertson
Keyword(s):  
Magic Squares

A comparison of different electrostatic potentials on prediction accuracy in CoMFA and CoMSIA studies

2010 ◽  
Vol 45 (4) ◽  
pp. 1544-1551 ◽  
Author(s):  
Keng-Chang Tsai ◽  
Yu-Chen Chen ◽  
Nai-Wan Hsiao ◽  
Chao-Li Wang ◽  
Chih-Lung Lin ◽  
...  
Keyword(s):  
Prediction Accuracy ◽  
Electrostatic Potentials

scholarly journals A construction for doubly pandiagonal magic squares

2012 ◽  
Vol 312 (2) ◽  
pp. 479-485 ◽  
Author(s):  
Wen Li ◽  
Dianhua Wu ◽  
Fengchu Pan
Keyword(s):  
Magic Squares

scholarly journals Notes on Number Series Used in the Construction of Magic Squares.

The Monist ◽  
1907 ◽  
Vol 17 (2) ◽  
pp. 289-293
Author(s):  
L. S. Frierson
Keyword(s):  
Number Series ◽  
Magic Squares

A Matrix Theoretic Construction of Magic Squares

1972 ◽  
Vol 79 (9) ◽  
pp. 1004 ◽  
Author(s):  
C. R. Johnson
Keyword(s):  
Magic Squares
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