Sentence examples for by taking the complex from inspiring English sources
Our results show that using a robust model by taking the complex interactions characterizing global reverse supply chain networks into account, we can create a better GRSC.
By taking the complex conjugates of both sides in (23), (14) is finally obtained.
This result was generated by taking the complex exponential of the tracked phase, followed by an FFT.
First, in order to derive the practically feasible importance function (or the related likelihood function) by taking the complex nonlinear transform, we introduce the first-order Taylor expansion and develop a new representative dynamic state-space modeling (DSM) system via the local linearization technique.
In PAE, by taking the complex leaf overlap problem into consideration, the area of every plant is measured from top-view images in four steps.
With denoting the i, j-th element of the relative coupling strength from voxel j to voxel i at a given frequency f, the directed information flow from j to i can be written by (4) The superscript H denotes the Hermetian transpose which is found by taking the complex conjugate of each entry of the standard matrix transpose.
An instantaneous measure of power was found by taking the squared complex modulus of the signal at each time point.
We construct three different objective functions by taking the logarithm of the complex apparent resistivity as introduced in the recent waveform inversion algorithm by Shin and Min.
The instantaneous phase was then calculated by taking the arctangent of the complex Hilbert transform of the filtered signal.
The instantaneous amplitude for the entire session was then calculated by taking the magnitude of the complex Hilbert transform of the filtered signal.
Figure 7b shows the capacitance retention as a function of frequency obtained by taking the real part of the complex capacitance C* f) = 1/[i 2πf Z* f)],where i, f, and Z* are the imaginary unit, ac frequency, and complex impedance at a frequency, respectively [30, 41, 44].
