<i>Macmillan Encyclopedia of Physics</i>

Rigden, John S.; Pippard, Brian

doi:10.1063/1.881915

Cited by 27 publications

(31 citation statements)

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“…This is similar to the charge divergence equation as described later. None of them can be derived from others [9]. Therefore, (1d) is independent of (1a).…”

Section: Independence Of Maxwell's Equationsmentioning

confidence: 99%

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On Independence, Completeness of Maxwell's Equations and Uniqueness Theorems in Electromagnetics

Zhou¹

2006

PIER

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Abstract-In this paper, the independence, completeness of Maxwell's equations and uniqueness theorems in electromagnetics are reviewed. It is shown that the four Maxwell's equations are independent and complete.A complete uniqueness theorem is proposed and proven for the first time by pointing out logic mistakes in the existing proof and presenting a truth table. Therefore, electrostatics and magnetostatics can be reduced from dynamical electromagnetics in all aspects including not only the equations as subsets of Maxwell's equations but also the corresponding uniqueness theorems. It is concluded that the axiomatic system of electromagnetic theory must consist of all four Maxwell's equations.

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“…This is similar to the charge divergence equation as described later. None of them can be derived from others [9]. Therefore, (1d) is independent of (1a).…”

Section: Independence Of Maxwell's Equationsmentioning

confidence: 99%

“…Kirchhoff's laws become consequences of (1a) and (1b), etc. [9]. Unfortunately, in most existing (advanced) textbooks and literature about electromagnetic theory, it is widely accepted that Maxwell's equations (1a)-(1d) are not independent of one another [2,4,5,[10][11][12][13][14][15][16][17][18][19].…”

Section: Independence Of Maxwell's Equationsmentioning

confidence: 99%

On Independence, Completeness of Maxwell's Equations and Uniqueness Theorems in Electromagnetics

Zhou¹

2006

PIER

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“…An electric discharge occurs when an electric field exceeds the dielectric field strength of air (3.6 kV·m −1 , [1]). Dielectric breakdown produces free electrons and ions originating from ionized molecules of air constituents and also from electrode material(s).…”

Section: Introductionmentioning

confidence: 99%

Green and facile electrode modification by spark discharge: Bismuth oxide-screen printed electrodes for the screening of ultra-trace Cd(II) and Pb(II)

Riman¹,

Jirovský²,

Hrbáč³

et al. 2015

Electrochemistry Communications

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“…According to [203], the smallest distance that can be resolved with a TEM is approximately 0.2−0.5nm and, for STM, a typical resolution of several tenths of one nanometer can be achieved. In comparison, the diameter of typical filaments is around 3 − 4nm and 8 − 10nm for mature fibrils, while the length may vary from hundreds of nanometers to a few micrometers [204][205][206].…”

Section: How To Make a Connection To Experimentsmentioning

confidence: 99%

Statistical Mechanics and Kinetics of Amyloid Fibrillation

Hong

Lee

Huang

2017

World Scientific Lecture and Course Notes in Chemistry

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Amyloid fibrillation is a protein self-assembly phenomenon that is intimately related to wellknown human neurodegenerative diseases. During the past few decades, striking advances have been achieved in our understanding of the physical origin of this phenomenon and they constitute the contents of this review. Starting from a minimal model of amyloid fibrils, we explore systematically the equilibrium and kinetic aspects of amyloid fibrillation in both dilute and semi-dilute limits. We then incorporate further molecular mechanisms into the analyses. We also discuss the mathematical foundation of kinetic modeling based on chemical mass-action equations, the quantitative linkage with experimental measurements, as well as the procedure to perform global fitting.

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Macmillan Encyclopedia of Physics

Cited by 27 publications

References 0 publications

On Independence, Completeness of Maxwell's Equations and Uniqueness Theorems in Electromagnetics

On Independence, Completeness of Maxwell's Equations and Uniqueness Theorems in Electromagnetics

Green and facile electrode modification by spark discharge: Bismuth oxide-screen printed electrodes for the screening of ultra-trace Cd(II) and Pb(II)

Statistical Mechanics and Kinetics of Amyloid Fibrillation

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