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Figure 3b shows the results for recovered surface normal vectors using outlier detection based on the simpler mode-finder, compared to Method:LMS: the median angular error is 3.03°, which is quite small.
We compute the degree by homotopying to a new system of nonlinear equations based on the simpler system of ordinary differential equations, x ″ = M 0 L ( x − v ), subject to Picard boundary conditions and impulses and using the Leray index theorem.
Part of the reason for this might be the ability of the southern subpopulation in our geographically-realistic model to access reasonably wet portions of the ecosystem south of the road during the dry season, as opposed to projections based on the simpler two-compartment (Mara versus plains) implementation of the earlier model [17].
Thus our comparisons are based on the simpler unphased haplotype estimation, whereby each subject contributes two separate haplotypes, and association is assessed by comparing the distribution of cases' haplotypes to that of the controls.
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The representative ranking will be compared with the one based on the simple geometric mean.
This price projection is based on the simplest expansion, a one-to-one expansion, which gives us our most conservative price target.
Of all Stravinsky's scores, the one for this powerful work, based on the simple, somewhat savage ritual of a Russian peasant wedding, was Diaghilev's favorite.
As Jones and Sigall assert: "The paradigm is based on the simple premise that no one wants to be second-guessed by a machine" (1971).
Polyamory is based on the simple principle that love is limitless.
Our choice of collaborators was then based on the simple principle of admiration for other people's work.
His thinking was based on the simple proposition that some pieces are harder and require more rehearsal time than others.
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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