Effective exponents of gyration swelling

The effective exponent vG(z) for gyration swelling is by definition given by the relation  

In the intermediate regime, this exponent varies slowly with z. 

In reality, the curve is defined by a succession of discrete points. The exponents vG(z) will be determined approximately from data reproduced in Table 15.2. We consider the temperature T as fixed. 

Let us choose a succession of n samples (j = 1,. . ., n) with areas Sw close to one another. The mean area is 

Let us perform this operation for three sets of samples with different average areas SW). The result is given in Table 15,5, where we have also listed the mean square deviations 

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