Figure compares 𝑓𝑓(𝑛𝑛) of new method 4 with 𝑚𝑚 = 0.96 to 𝑓𝑓(𝑛𝑛) of new method 3, and Figure compares 𝑓𝑓(𝑛𝑛) of new method 4 with various 𝑚𝑚 values. As 𝑚𝑚 increases, the shape of 𝑓𝑓(𝑛𝑛) becomes closer to that of method 3. When 𝑚𝑚 = 0.96, the shape is almost identical to that of method 3. As 𝑚𝑚 continue to approach 1, a perhaps-unwelcome consequence of this improvement in shape starts to occur; the gradient of 𝑓𝑓(𝑛𝑛) changes more rapidly at 𝑛𝑛 = 1. In the limit of 𝑚𝑚 = 1, 𝑓𝑓(𝑛𝑛) of method 4 would become identical to that of method 3, with a discontinuous derivative at 𝑛𝑛 = 1. We wish to avoid discontinuous or very large derivatives because they could cause numerical problems. It is also interesting to consider the small-n behavior of eq 13. One can easily show that