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All the data reported in Table 1 were therefore processed after autoscaling by Principal Component Analysis [21,22] for the purpose of demonstrating how thermal data alone, simply with the help of chemometric projection techniques, are sufficient to separate mortars belonging to frescoes of different ages into different clusters.
As a simple but powerful alternative, we propose to start from the expression for the relative triplet population (Eq. (2)) and describe the mixing simply with the help of this expression.
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The well-known first kind Chebyshev polynomials are orthogonal in the interval [ − 1, 1 ] with respect to the weight-function w c ( x ) = 1 1 − x 2 and can be simply determined with the help of the recurrence formula [1] T 0 ( x ) = 1, T 1 ( x ) = x, T n + 1 ( x ) = 2 x T n ( x ) − T n − 1 ( x ), n ≥ 1. (2.1).
Fitzgerald wanted Gatsby to be enigmatic, and many of the novel's characters are simply and even thinly drawn, but with the help of editor Maxwell Perkins, the author recognized that Gatsby was simply too vague.
As he has throughout this campaign, when it comes to spending, Mitt Romney is simply swamping his rivals (with the help of the pro-Romney Super PAC Restore Our Future, of course).
Owners simply pull the robot with the help of a cord, and the self-propelled, battery-powered robot follows them everywhere.
The company claims that marketers can reach a fourfold increase in Facebook conversions, a threefold increase in engagement and a twofold increase in page views, simply by writing better with the help of Atomic AI.
The alternative is simply to do what generations of farmers have done by breeding animals with genetic improvements – but this time with the help of DNA science.
Whether simply through personal development, religious counseling, or with the help of a licensed or unlicensed counselor, thousands (if not millions) of people have experienced significant changes in one or more of the elements of their sexual orientation (attractions, behavior, or self-identification).
But it would be hypocritical to accept a vaccine developed with the help of the same tests simply because they had been carried out on chimpanzees in America.
With the help of complaisant council members, they simply changed the law to reward themselves with third terms.
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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