Ampère-centimetre a measure of electromagnetism

Complex Monge-ampère of a Maximum

Pluri-subharmonic (psh) functions play a primary role in pluri-potential theory. They are closely related to the operator dd c = 2i∂ ¯ ∂ (with notation d = ∂ + ¯ ∂ and d c = i(¯ ∂ − ∂)), which serves as a generalization of the Laplacian from C to C dim for dim > 1. If u is smooth of class C 2 , then for 1 ≤ n ≤ dim, the coefficients of the exterior power (dd c u) n are given by the n×n sub-dete...

Quaternionic Monge-ampère Equations

The main result of this paper is the existence and uniqueness of solution of the Dirichlet problem for quaternionic Monge-Ampère equations in quaternionic strictly pseudoconvex bounded domains in H. We continue the study of the theory of plurisubharmonic functions of quaternionic variables started by the author at [2].

Vulnerability Measure of a Network - a Survey

In this paper we discuss about tenacity and its properties in stability calculation. We indicate relationships between tenacity and connectivity, tenacity and binding number, tenacity and toughness. We also give good lower and upper bounds for tenacity. Since we are primarily interested in the case where disruption of the graph is caused by the removal of a vertex or vertices (and the resulting...

A Brief History of Electromagnetism

Understanding the connections between magnetism and electricity and exploiting that understanding for technological innovation dominated science in the nineteenth century, and yet no one saw it coming. In the index to Butterfield’s classic history of the scientific revolution [3], which he locates roughly from 1300 to 1800, the word “electricity” does not appear. Nobody in 1800 could have imagi...

A note on the ferromagnetic Faraday effect at centimetre wavelengths