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This operation yields a system of equations which can be solved to find (A_{k}(t)) and (psi xi)).
This operation yields different views with unequal resolution and the overall 3-D video quality is almost retained.
Multiplying on the left by G yields G2R = GRA = RA2, and continuing this operation yields G n R = RA n, for all positive integers n.
In particular, under the CD specification for (f(e_{T})), this operation yields, begin{aligned} frac{partial ^{2}Pi ^{T}}{partial e_{T}^{2}}=- 2-alpha )f^{prime }=- 2-alphat[ 1-gamma _{T}=- 2-alphaac{alpha }{lambda }Dright) right].
Therefore, this operation yields a multi-stream signal tensor Z ∈ ℂ F × M t × N × P whose typical element is given by z f, m t, n, p = ∑ r = 1 R s ~ f, m t, n, r c p, r. (8).
This operation yields a best-fit controlling grain size and bubble size for each stage of sintering.
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This operation yielded revenue of $200 million last year, he says, on which he netted 15% before taxes.
This operation yielded 154 groups of orthologous proteins in Drosophila to be insect-specific homologs; 466 groups were determined to be common to eukaryotes (represented by three opisthokonts).
The main components of the model are: activities for crops, work rates for the various crop operations, levels of chemical applications (both in the form of crop protection products and fertilisers), initial seed requirements, grain drying requirements and the associated diesel use for this operation, yield data for grain and straw for each crop, contract costs and diesel use by machinery.
This thresholding operation yields the ground truth corruption mask b g for each sequence.
The unorthodox choice of Mr. Martin, according to people with knowledge of the operation, yielded some results, including details of possible threats on the life of a federal witness.
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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