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In this regard, the local average background intensity was approximated by the average of the presumable background region within a window of 41×41 pixels determined with local average thresholding with the window.
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Note that normalized intensities were approximated with a normal distribution.
This ratio was approximated to be 4/5.
In the basic approach which uses three images the intensity derivative is approximated by two defocus images, assuming linearity according to Eq. (7).
The general assumption is that the (natural) logarithm of the background intensity can be approximated by a function linear in some fitting parameters ω α.
The underlying mathematical assumption is that a well-separable peak shape (a 2D or 3D intensity matrix) can be approximated by the outer product of 1D lineshapes (a 1D intensity vector) times an intensity matrix.
The surface integral in sound power determination based on intensity measurement can be approximated either by sampling at discrete points or by continuous averaging along a path.
By adopting this assumption, the magnetic total intensity anomalies can be approximated well to be linearly related to the magnetization, following the Poisson equation: (1 where r and t are the observed position and time, respectively.
However, since the main field is dominant and uniform in direction inside the survey area, the magnetic total intensity anomalies can be approximated by the component of the magnetic field parallel to the main field.
Here, spot intensity profiles can be approximated by the Langmuir adsorption equation, as is commonly found with DNA microarrays (19, 20).
It is found that the radial dependences of intensities J can be approximated by a power of radial distance r as J ∝ rα with a different value of a constant in the inner and outer heliosphere with a transition at a radial distance of 10 15 AU.
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