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The peak area integrations for each marinobactin were performed using an integral function of the HPLC software (Empower Pro, Waters Inc .. Mixed bacterial cultures were treated the same as control cultures of only H. aquamarina str.
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These limitations are described using an integral relation that must be satisfied by the output complementary sensitivity function.
The first uses an integral Green's function method while the second is based on a diffusion velocity approach.
Here, we apply the Secada method to inverse Laplace and Hankel transforms [25] to Eq. (9); this method uses an integral representation of Bessel functions for the transform as a weighted integral of Fourier components of the output function, by the means of computer and FFT technology, the inversing transient responses of the displacement can be obtained quickly.
To quantify muscle tone, raw EMG signals were filtered between 0 10 Hz in SleepSign for Animal using a high pass filter, which eliminated body movement artifacts, and were full-wave rectified, integrated, and quantified in arbitrary units, for every 4-s epoch, using the "integral" function of SleepSign for Animal.
The objective function (19) is then simplified using the integral function int in Symbolic Math Toolbox in Matlab.
CDF were generated using the integral function in Prism.
Relative power cumulative distribution functions (CDF) were obtained using the integral function in Prism (GraphPad Software, La Jolla, CA, USA).
Fig. 5B shows a curve of cumulative aerenchyma area measured every 5 mm along each side of the root axis using the integral function of the binomial smoothing function of cross-sectional area of aerenchyma.
Each spectrum was integrated using WinNMR software integral function.
An analytical solution of a latent heat storage unit (LHSU) consisting of a shell-and tube was obtained by using the Exponential Integral Function and the variables separation technique.
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