# Give an example of a refinement in mathematical modeling with contextual explanation.

Dottie Parra 2020-10-26 Answered
Give an example of a refinement in mathematical modeling with contextual explanation.
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## Expert Answer

Malena
Answered 2020-10-27 Author has 83 answers

Consider the set [0, 1], and consider it's partition $A=\left(0,\frac{1}{4},\frac{1}{2},\frac{3}{4},1\right)$ and consider a refinement of this partition, B Note that refinement of a partition A contains all points of A and possibly some other points, thus B can be considered as: $B=\left(0,\frac{1}{8},\frac{1}{4},\frac{1}{2},\frac{3}{4},\frac{7}{8},1\right)$ Here it can be seen that A is contained in B, i.e. A sub B And if we consider another refinement of A: i.e. ${B}_{1}$
is an refinement of is not an refinement of B.

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