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In the same manner as Fourier transform can be defined as being a projection on the basis of complex exponentials, the wavelet transform is introduced as projection of the signal on the basis of scaled and time-shifted versions of the original wavelet (so-called mother wavelet) in order to study its local characteristics [25].
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Else, for every row vector of the matrix, we subtract its projection onto the basis of the module.
It was sheer impatience that caused the networks, all through Tuesday night, to call states too early and make projections on the basis of a tiny fraction of the vote.
Because the Congressional analysts are required by law to make their projections on the basis of current government spending, the report does not factor in the huge spending increases that President Bush is expected to propose for the Defense Department and for his plan to develop a national missile-defense system.
Since 1997, 100 new yearly incomers were accounted for in the projections, on the basis of a secular trend.
and HadCM3 (a general circulation model used to make climate projections on the basis of input from the scenarios) climate projections (WHO 2003).
I made that projection primarily on the basis of the state polls, and, as I pointed out in a subsequent post, it was in line with the consensus opinion.
This c-DNS based on the recent nonstandard analysis of turbulence was carried out in a staggered grid system with a projection method on the basis of finite difference.
Projections made on the basis of assessment data would, at least, estimate the population in the 516 urban poor areas to be one-quarter of a million people.
L6A pyramidal neurons reside in the upper two-thirds of layer 6; previous studies (Zhang and Deschenes 1997; Kumar and Ohana 2008; Pichon et al. 2012; for reviews see Briggs 2010; Thomson 2010) have broadly classified them into corticothalamically (CT) and corticocortically (CC) projecting neurons on the basis of their axonal projection pattern.
Projections were made on the basis of the current rate of price decline, absorption rate, employment and salary deterioration, and how long it would take each metro to wash out to a historical point of balance.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.
Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com