The uniqueness theorem of electromagnetic fields in lossless regions

1993 ◽  
Vol 41 (2) ◽  
pp. 245-246 ◽  
Author(s):  
Qingxin Chu ◽  
Changhong Liang
Keyword(s):  
Uniqueness Theorem ◽  
Electromagnetic Fields ◽  
The Uniqueness Theorem

Electromagnetic Fields Theory of Electrical Machines Part II: Uniqueness Theorem for Time-Varying Electromagnetic Fields in Hysteretic Media

2005 ◽  
Vol 42 (2) ◽  
pp. 203-208 ◽  
Author(s):  
Saurabh Kr. Mukerji ◽  
Sandeep Kr. Goel ◽  
Sunil Bhooshan ◽  
Kartik Prasad Basu
Keyword(s):  
Boundary Conditions ◽  
Uniqueness Theorem ◽  
Unique Solution ◽  
Electromagnetic Fields ◽  
Bachelor's Degree ◽  
Electrical Machines ◽  
Time Varying ◽  
Initial Condition ◽  
Free Media ◽  
The Uniqueness Theorem

Conditions resulting in a unique solution of Maxwell's equations are investigated. For this purpose, time-varying electromagnetic fields in media exhibiting a linearized form of hysteresis are considered. The treatment is an extension of the uniqueness theorem for electromagnetic fields in hysteresis-free media. The major conclusions are that there is no initial condition for fields in lossy regions, however, boundary conditions must be satisfied for all values of time. The treatment presented may be useful to students preparing for a masters degree or final year bachelor's degree.

scholarly journals The uniqueness theorem for entanglement measures

2002 ◽  
Vol 43 (9) ◽  
pp. 4252-4272 ◽  
Author(s):  
Matthew J. Donald ◽  
Michał Horodecki ◽  
Oliver Rudolph
Keyword(s):  
Uniqueness Theorem ◽  
Entanglement Measures ◽  
The Uniqueness Theorem

scholarly journals On the uniqueness theorem

1970 ◽  
Vol 14 (3) ◽  
pp. 376-384 ◽  
Author(s):  
Helmut Bender
Keyword(s):  
Uniqueness Theorem ◽  
The Uniqueness Theorem

scholarly journals Link theorem and distributions of solutions to uncertain Liouville-Caputo difference equations

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Hari Mohan Srivastava ◽  
Pshtiwan Othman Mohammed ◽  
Juan L. G. Guirao ◽  
Y. S. Hamed
Keyword(s):  
Uniqueness Theorem ◽  
Difference Equations ◽  
Special Linear ◽  
Uncertain Variables ◽  
Important Theorem ◽  
Special Case ◽  
The Uniqueness Theorem

<p style='text-indent:20px;'>We consider a class of initial fractional Liouville-Caputo difference equations (IFLCDEs) and its corresponding initial uncertain fractional Liouville-Caputo difference equations (IUFLCDEs). Next, we make comparisons between two unique solutions of the IFLCDEs by deriving an important theorem, namely the main theorem. Besides, we make comparisons between IUFLCDEs and their <inline-formula><tex-math id="M1">\begin{document}$ \varrho $\end{document}</tex-math></inline-formula>-paths by deriving another important theorem, namely the link theorem, which is obtained by the help of the main theorem. We consider a special case of the IUFLCDEs and its solution involving the discrete Mittag-Leffler. Also, we present the solution of its <inline-formula><tex-math id="M2">\begin{document}$ \varrho $\end{document}</tex-math></inline-formula>-paths via the solution of the special linear IUFLCDE. Furthermore, we derive the uniqueness of IUFLCDEs. Finally, we present some test examples of IUFLCDEs by using the uniqueness theorem and the link theorem to find a relation between the solutions for the IUFLCDEs of symmetrical uncertain variables and their <inline-formula><tex-math id="M3">\begin{document}$ \varrho $\end{document}</tex-math></inline-formula>-paths.</p>

scholarly journals On the Uniqueness Theorem for Pseudo-Additive Entropies

Entropy ◽  
2017 ◽  
Vol 19 (11) ◽  
pp. 605 ◽  
Author(s):  
Petr Jizba ◽  
Jan Korbel
Keyword(s):  
Uniqueness Theorem ◽  
The Uniqueness Theorem
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