Institute of Industrial Science University of Tokyo Tokyo JapanJohn Wiley & Sons, LtdJournal of Geophysical Research AtmospheresS. Miyazaki and M. Ishii, "Reproduction of time derivative of electro- magnetic field associated with rocket-triggered lightning in submicrosec- ond range," J. Geophys. ...
Also, in the mathematical operations of signals, the sinusoidal signal is the only signal whose summation, multiplication, differentiation or integration be also a sinusoidal signal. For example, in transformers the output voltage is the time derivative of magnetic flux. The magnetic flux is itself ...
The voltage E is the time derivative of the magnetic flux Φ, E = −N dΦ dt ; (1) where N is the number of turns. The magnetic flux is related, in turn, to the magnetic field, or flux density, B by the area integral Φ = Bda = BAe, (2) where Ae is the core's ...
Equation (68) emphasizes that the shifted charge function can be taken to be time dependent, and we will assume that this time dependence is expressed as the time derivative of a fixed function f0(t). The solution for the electric field is thus of the form $${{{\bf{E}}}_{Q}^{\pr...
(c) The intensity map of the differential filter, applied along the directional derivative of the x-rays from the reference slit. (d) The reconstructed image after fast Fourier transform (FFT) and polarisation analysis. Inset shows a close-up of the aperture with the magnetic contrast of the...
The voltage E is the time derivative of the magnetic flux Φ, E = −N dΦ dt ; (1) where N is the number of turns. The magnetic flux is related, in turn, to the magnetic field, or flux density, B by the area integral Φ = Bda = BAe, (2) where Ae is the core's ...
The time derivative, (4.65)dVphysdt=Vphys(t)ddtlnPf(t)+3H(t), then indicates whether the physical volume of the false vacuum fraction is decreasing at a particular time. Percolation is questionable if (4.66)ddtlnPf(t)≥−3H(t) at tp [319,322,395], because the physical volume ...
Instead of just using the definitive correlation between proton intensity and electron intensity and its time derivative in Posner (2007), we use a machine learning approach to the problem. This way, we can build a model that can include subtle correlations between future proton intensity and ...
We present here the first phase of the statistical characterization of this very close lightning electromagnetic environment: the salient characteristics of the electric and magnetic field waveforms and the associated time derivative waveforms observed 15 m and 30 m from triggered lightning strokes. These...
Note that here eP is the time derivative of the permutation entropy, i.e. eP = [EP(d + 1) − EP(d)]/T, d being the embedding dimension and T the time resolution (or the length of the time steps) of the series. Yet, what about more complex chaotic systems?