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The phrase "a basic exemplar" is correct and usable in written English.
It can be used when referring to a simple or standard example that illustrates a concept or idea.
Example: "In our discussion about effective teaching methods, I presented a basic exemplar of a lesson plan that incorporates active learning strategies."
Alternatives: "a simple example" or "a fundamental model".
Exact(4)
Clearly, the Weibull distribution is obtained as a basic exemplar when λ=0.
In fact, this model represents only a basic exemplar of the GEW distribution.
For a=1, the G distribution is a basic exemplar with a continuous crossover towards cases with different shapes (for example, a particular combination of skewness and kurtosis).
For α=β=1, the G distribution arises as a basic exemplar of the GW-G distribution with a continuous crossover towards cases with different shapes (for example, a particular combination of skewness and kurtosis).
Similar(56)
Evidently, the density function (5) does not involve any complicated function and the EW distribution arises as the basic exemplar for a=1.
The flatworm phylum, Platyhelminthes, and its best-known exemplar Planaria, are not mentioned in the text although they represent a basic stage in animal organization (Haldane & Huxley [1927], Hyman [1951]): do the authors consider them a degenerate offshoot?
A basic.
Run a basic search.
Perform a basic search.
One that was basically an exemplar based theory.
The expression of a serine protease (Tm-5) from Taiwan habu (Trimeresurus mucrosquamatus) is taken as an exemplar to illustrate the basic rationales and protocols involved.
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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