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It is clear that every sum graph has at least one isolated vertex.
I have to double-check every sum I do on a calculator, no matter how small.
The objective function represents the utility derived for every sum of money spent in sampling and chemical analysis.
It is also the case that every sum of an in-phase and quadrature component can be expressed as a single sinusoid at some amplitude and phase.
Not only have most firms avoided public controversy, but they also have sought to reap public-relations benefits from every sum that they donate.
And be it enacted, That for every sum so paid, the Sheriff or Collector shall give a receipt, expressing therein to what society of Christians the person from whom he may receive the same shall direct the money to be paid, keeping a distinct account thereof in his books...
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Recall that a module (M) is called (Sigma )-injective if every direct sum of copies of (M) is injective.
In the present case, the contributions from every depth sum up to a negligible IGpe value of 0.06, but the correlations among parameters could lead to a useful IGpe value of 0.3.
Every infeasible sum formula that is filtered out implicitly by the improved algorithm does not need to be post processed in the filtering stage, which furthermore improves the overall runtime of the method.
Note that every row sums to zero as it should—and creating a debt increases the bank's assets (and liabilities) while repaying the debt reduces them.
Each of the nine questions of the PHQ-9 was evaluated on a 4-point rating scale, ranging from 0 (not at all) to 3 (nearly every day), summing up to a total PHQ-9 score per patient.
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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