Proposition 4.1 (1) of this article is not correct as stated. For instance, if ε is the quadratic Dirichlet character of conductor 15, then there are two newforms in Sk(Γ1(15), ε) with coefficients in Q, and these are twists of each other by the quadratic character of conductor 3, whereas the quantity u in the proposition is 0 here. I am grateful to Steve Donnelly for pointing out this example....

We propose a general workflow to numerically estimate the spread of electrical excitation in the patients' hearts. To this end, a semi-automatic segmentation pipeline for extracting the volume conductor model of structurally normal hearts is presented. The cardiac electrical source imaging technique aims to provide information about the spread of electrical excitation in order to assist the car...

Meaningful interconnect design and compliance analysis must start with the identification of broadband dielectric and conductor roughness models. Such models are not available from manufacturers and the model identification is the most important element of successful interconnect design for link paths with 10-50 Gbps and higher data rates. Electromagnetic analysis of interconnects without such ...

1 Problem Show that the electric field vanishes inside a perfect conductor according to " all " definitions of this concept, while the interior magnetic field vanishes only under some definitions. This problem depends on the concept of a conductor, and of a perfect conductor. The phenomenon of conduction of electricity may have been first reported by Gray in 1731 [1], who described experiments ...

A wave propagation characteristic is very significant to investigate a transient voltage and insulation design of a cable. This paper carries out an experiment and a simulation of wave propagation characteristics on an insulation covered conductor in comparison with a bare conductor. The simulations are carried out using Electro Magnetic Transient Program (EMTP) and Finite Difference Time Domai...

In this paper, taking the minimum metal conductor usage of an air core reactor as optimization goal, the influence of air ducts width and encapsulation number on thermal efficiency and electromagnetic efficiency are analyzed. Combined with the equation constraint conditions for maximum temperature rise conservation, inductance conservation and structure function of reactor considering the chang...

THIS paper deals with a new application of the principle of electromagnetic blood flow recording which avoids many of the troubles inherent in previous systems••. The reader is referred to numerous previous articles for details of the background theory not covered here ' ' ' 7 -. Briefly, the electromagnetic flowmeter depends for its operation upon the fact that if a conductor of electricity is...

Some organic molecules can be isomerized upon photoirradiation and when accompanied by a change in the visible absorption spectrum, it is called photochromism. Azobenzenes are important part of molecular machines and nanotechnology, Which are This phenomenon is called photoisomerization Azobenzene (azo) chromophores , and have been incorporated into a wide variety of materials and molecular arc...

We show that the cubic nonlinear response of a polycrystalline quasi-one-dimensional conductor, such as a conducting polymer, can be expressed exactly in terms of the single-crystal cubic susceptibility and the electric fields in the analogous linear polymer. We also propose a simple nonlinear decoupling approximation which allows the polycrystalline nonlinear susceptibility to be simply estima...