For the purpose of proof of correctness, a graph obtained from an analysis by Schroeder et al. (2004) has been used [36].
The results suggest there is a great deal of variation in the role and purpose of proof in and among mathematics courses and that factors such as the course title, audience, and instructor influence this variation.
Results obtained by using the SCL data served the purpose of proof-of-concept.
Part of the purpose of proofing yeast is to give a final decree on determining its freshness.
Again, for the purposes of this proof of concept, the arrays of μ and Σ for each sensor profile were determined iteratively.
For the purposes of this proof of concept, the parameters μ and σ2, from Equation (1) and Equation (2), were determined iteratively.
The author and SEP editors would like to thank Richard O'Callaghan for bringing to our attention that, in an earlier version of the supplement on the Diagonalization Lemma, the definition of the substitution function, although standard, didn't suffice for the purposes of the proof.
In addition to studying MLT region atmospheric dynamics, they also provided the means and motivation for the intercomparison of MLT winds derived from different techniques for the purposes of ground proofing the satellite measurements (e.g., Palo et al. 1997), and provided a better understanding of the limitations of the various measurement techniques.
For the purposes of this proof-of-concept study, we deliberately selected a small number of patients who were as homogeneous as possible in terms of the respiratory impact of ALS.
Recall that the purpose of the proof was, in large part, to reply to (some of) the criticisms raised in objection to the 1904 proof, and not least to clarify the status of the choice principle.
