scholarly journals Generalized Heisenberg-Euler Formula and Its Application to Vacuum Magnetic Birefringence Experiment

Proceedings ◽  
2018 ◽  
Vol 2 (1) ◽  
pp. 32
Author(s):  
Akio Sugamoto ◽  
Xing Fan ◽  
Shusei Kamioka ◽  
Kimiko Yamashita ◽  
Shoji Asai
Keyword(s):  
Euler Formula ◽  
Magnetic Birefringence

scholarly journals An efficient adaptive grid method for a system of singularly perturbed convection-diffusion problems with Robin boundary conditions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Li-Bin Liu ◽  
Ying Liang ◽  
Xiaobing Bao ◽  
Honglin Fang
Keyword(s):  
Boundary Conditions ◽  
Grid Method ◽  
Posteriori Error ◽  
Adaptive Grid ◽  
Singularly Perturbed ◽  
Robin Boundary Conditions ◽  
Euler Formula ◽  
Convection Diffusion ◽  
Backward Euler ◽  
Robin Boundary

AbstractA system of singularly perturbed convection-diffusion equations with Robin boundary conditions is considered on the interval $[0,1]$ [ 0 , 1 ] . It is shown that any solution of such a problem can be expressed to a system of first-order singularly perturbed initial value problem, which is discretized by the backward Euler formula on an arbitrary nonuniform mesh. An a posteriori error estimation in maximum norm is derived to design an adaptive grid generation algorithm. Besides, in order to establish the initial values of the original problems, we construct a nonlinear optimization problem, which is solved by the Nelder–Mead simplex method. Numerical results are given to demonstrate the performance of the presented method.

scholarly journals Magnetic birefringence studies of dilute purple membrane suspensions

1985 ◽  
Vol 47 (2) ◽  
pp. 143-150 ◽  
Author(s):  
B.A. Lewis ◽  
C. Rosenblatt ◽  
R.G. Griffin ◽  
J. Courtemanche ◽  
J. Herzfeld
Keyword(s):  
Purple Membrane ◽  
Magnetic Birefringence

Linear magnetic birefringence measurements of Faraday materials

1991 ◽  
Vol 43 (1) ◽  
pp. 965-971 ◽  
Author(s):  
Kyuman Cho ◽  
Simon P. Bush ◽  
David L. Mazzoni ◽  
Christopher C. Davis
Keyword(s):  
Magnetic Birefringence

Linear Magnetic Birefringence in the Ferrimagnetic Garnets

1970 ◽  
Vol 41 (11) ◽  
pp. 4613-4619 ◽  
Author(s):  
J. F. Dillon ◽  
J. P. Remeika ◽  
C. R. Staton
Keyword(s):  
Magnetic Birefringence

Magnetic birefringence of some diamagnetic gases

1967 ◽  
Vol 63 ◽  
pp. 1057 ◽  
Author(s):  
A. D. Buckingham ◽  
W. H. Prichard ◽  
D. H. Whiffen
Keyword(s):  
Magnetic Birefringence

Magnetic birefringence of twoS=1/2 Heisenberg antiferromagnetic chains

1988 ◽  
Vol 63 (8) ◽  
pp. 3548-3550 ◽  
Author(s):  
A. C. Lamas ◽  
C. P. Landee
Keyword(s):  
Magnetic Birefringence

TRACTION FORCES CREATED BY FLEXIBLE ELEMENTS AND HOISTING-AND-TRASPORT, CONSTRUCTION, ROAD VEHICLES AND EQUIPMENT SYSTEMS BY MEANS OF FRICTION. LECTURE 4

2020 ◽  
pp. 43-49 ◽  
Author(s):  
A. I. Nizhegorodov
Keyword(s):  
Belt Conveyor ◽  
Road Vehicles ◽  
Drive Power ◽  
Cable System ◽  
Euler Formula ◽  
Flexible Links ◽  
Tower Crane ◽  
Movement Mechanism ◽  
Belt Conveyors

The article consistently sets forth the material of the fourth lecture on the course “Theory of hoisting-and-transport, construction, road vehicles and equipment”, which included the following questions: transfer of traction efforts by flexible elements using the example of a thin inextensible thread, derivation of the Euler formula, flexible links and hoisting-and-transport, construction, road vehicle and equipment (HTCRVE) systems; the operation and calculation of the belt brake; the node attaching the rope to the drum and its calculation; the resistance in the cable system of the movement mechanism of the of the tower crane; the determination of the resistances in the cargo truck cable system of the movement mechanism; the transmission of traction by friction in the belt conveyors; the calculation of the drive station drive power of the belt conveyor while transmitting traction by friction.

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