In fact, they were just as happy to buy a blank canvas, something Mr. Hagar could transform into exactly what they wanted.
The computational costs of the forward and inverse transform are exactly the same.
But medians back-transform exactly, so the model results represent median dbh increments in mm ·y −1 per dbh category.
In those few September days in 1997 he's transformed, not exactly into an ardent monarchist but into recognising and understanding what the Queen has been through during the years since her father reluctantly succeeded his brother 50 years earlier.
What's more, making commenters more accountable for their posts doesn't exactly transform them into the reverential chorus that every writer probably thinks he deserves.
From the signal of mid-frequency flexural wave extracted by wavelet transform, we can exactly determine the existence and position of crack in the beam.
However, because of the fractional delay operator z−α the proposed fractional Euler transform cannot be exactly implemented; only a limited implementation by means of infinite impulse response (IIR) digital filter can be achieved using approximation techniques.
Here we propose a technique based on the maximum entropy method which makes use of the fractional moments of the exponential of the accumulated loss, which is available since for many models the Laplace transform can be exactly determined.
It can exactly transform a SH-wave propagation problem posed for a medium with spherical symmetry into a problem posed for a plane-stratified medium and give a useful approximation to a P-SV problem in a spherically symmetric medium.
Although the derivation process is quite tedious, we show analytically that the inverse transform can be found exactly and their resulting expressions are surprisingly neat and compact.
