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In practice, the cropping operation is implemented inside the projector (tilde{P}) by simply restricting the projection to the detector limited field of view N. In the formulas, the cropping operator C is explicitly separated from the projector (tilde{P}) to highlight the local setup in the forward model.
Among these, the previously classified β and γ isoforms clustered closely together and were not explicitly separated from each other.
However, as winning trials were explicitly separated from losing trials, the pattern of activation is unlikely to reflect engagement in anticipating losses or punishment rather than receiving rewarding stimuli.
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In Felton, some users explicitly separated conservation from the complaints they had about the company; as one put it, "we need to conserve in California" (#527).
Lake explicitly separated the Bosnian case from "our broader strategy in the world".
Designers G.M. Amdahl, F.P. Brooks, and G.A. Blaauw explicitly separated the 360 architecture from its implementation details.
Mr. Walker said in an e-mail that "we understood Newsmax would mention a financial newsletter service during the program, which was explicitly separate from Bill's appearance".
Mr Clinton's related proposal to contribute government funds to new individual saving accounts remains vague, but is explicitly separate from Social Security reform.Finally, although the president claims that his proposal would use a large part of the projected budget surpluses to pay down the national debt, there is nothing in his plan to make that happen.
Strength of the recommendation, categorized as either strong (grade 1) or weak (grade 2), is explicitly separate from the quality of evidence and takes into account costs, values, preferences, quality of evidence, treatment effects, balance between desirable and undesirable effects, and burdens of therapy.
In addition, we have explicitly separated the functions of the virtual object identity from the virtual object location (using the ID/locator split concept).
An effect of encoding consistency (and inconsistency) in the object language is that we can explicitly separate inconsistency from triviality.
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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