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It is straightforward to derive this algorithm from our VB algorithm derivation since standard VBEM is obtained as a special case of steepest descent VB learning (Hensman et al., 2012).
Denoting and noting that for, it is straightforward to derive that with which becomes (A2).
From the above analysis, it is straightforward to derive the spherical harmonic coefficients when.
It is straightforward to derive an S-HDS version of the social movement model ΣABM.
In a pH-stat experiment it is straightforward to derive the acid production rate, RH.
It is straightforward to derive the maximum time diversity achievable by adopting such as technique.
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The term (i i) is straightforward to derive.
It is straightforward to deduce that.
The CDF and the quantile function (QF) of the FL model are straightforward to derive [see Cooray (2008), Liu (2014 ], and both admit close forms.
So the data elements as such were always archetype elements and that was straightforward to derive.
These equations are part of the standard population genetic toolkit and as shown above are straightforward to derive from Equation 2 (for a thorough treatment of multilocus systems including equations for the time evolution of the linkages, see Barton and Turelli 1991; Kirkpatrick et al. 2002; Neher and Shraiman 2011).
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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