The phrase "an example determining the" is correct and usable in written English.
It can be used when discussing a specific instance that illustrates or clarifies a particular point or concept.
Example: "In our discussion about renewable energy, an example determining the effectiveness of solar panels is the increase in energy output during peak sunlight hours."
Alternatives: "a case illustrating the" or "an instance clarifying the".
This can be either a relative quantity, for example, determining the level of heteroplasmy for a particular mitochondrial allele, or an absolute quantity, for example, measuring gene expression.
It can only run a specific algorithm used for a specific kind of problem that requires selecting the best option in a situation with many competing requirements for example, determining the most efficient delivery route around a city.
For example, determining the pricing strategy for a portfolio of products is no small feat, but experienced consultants well understand what analytics are needed.
While certain issues might have seemed like no-brainers to me, and easily resolved -- for example, determining the language needed for a document to describe 'a terrorist,' it turns out, these issues aren't easy at all.
More research is necessary in studying enzyme behavior during storage, for example determining the half-life time.
Thus, the proportionate sizes of the legs, arms, and back of a garden bench, for example, determine the scale of the seat.
External calcium concentration can, for example, determine the conductance of sodium across the cardiac cell membranes.
In order to interpret the applicability of the optimization model, the paper presents an example of determining the cheapest possible pad footing and the optimal design for the given design parameters.
As an example, to determine the existence of an exactly synchronised solution one only needs to suppose (x_{i}(t)=x t)) and determine whether there is such a solution (x t)) for the system (7).
Using simple climate and economics models as an example, we determine the carbon dioxide emissions levels that have minimum upper expected cost for each of the selected classes.
