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It allows the scope of the problem to be quantified using innovative methods from well-established datasets with complete capture of population-wide data, so that changes in the situation can be monitored and the effectiveness of large-scale interventions and policy changes can be examined.
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The fuzzy requirements of the problem (3.1) can be quantified by electing a membership function μ ( f ( x ) ) (Figure 2) which is differentiable in the open interval f ( x 1 ) < f ( x ) < f ( x 0 ) where μ ( f ( x ) ) is defined by μ ( f ( x ) ) = { 1, f ( x ) ≤ f ( x 1 ), f ( x ) − f ( x 1 ) f ( x ¯ 0 ) − f ( x ¯ 1 ), f ( x 1 ) ≤ f ( x ) ≤ f ( x 0 ), 0, f ( x ) ≥ f ( x 0 ), (4.6).
Alfred Marshall argued that every economic problem which can be quantified, analytically expressed and solved, should be treated by means of mathematical work.
However, despite this limitation, ultrasonographic findings of the rumen content supplement clinical findings; tympany caused by eructation problems can be quantified and possibly liquefaction of rumen contents, which is characteristic of grain overload, can be detected.
The problem of spams can be quantified in economical terms since many hours are wasted everyday by workers.
But perhaps the biggest problems facing Hershey cannot be quantified by dollar figures.
Also, biological and economical advantages of genome-assisted selection in a breeding program must be quantified (this second problem is not addressed herein).
The problem is outlined, the theory-based intervention is explained, and the impact on the contract cheating problem is quantified.
In a parametric study, the contribution of the random variables on the uncertain bridge response of a case study problem is quantified.
From Motherboard: Wikipedia's Gender Problem Has Finally Been Quantified.
Sleep problems were quantified using the Sleep Problems Index II of the Medical Outcomes Study MOSsleepeep scale, a validated, 12-item questionnaire that assesses sleep problems in chronically ill populations [ 39].
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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