| Thread Links | Date Links | ||||
|---|---|---|---|---|---|
| Thread Prev | Thread Next | Thread Index | Date Prev | Date Next | Date Index |
Michel Hack wrote:
Nate Hayes wrote:With the general power function, however, the width of the interval range zz will always be at least the distance between the two manifolds for any negative xx. This distance is quite large and will most likely be much larger than the user's tolerance criteria for the branch and bound algorithm.What would be the meaning of an interval xx that includes relatively large negative values, when raised to an uncertain real exponent?
I don't really think it makes sense, either. It's another reason that I'm skeptical of the general power function; and why I was hoping someone could provide an example of why it is required.
Since it was listed as required in Motion 10, I was assuming some of our experts in the forum saw this as being important. I was just looking at the consequences of what happens when you put it into a branch-and-bound algorithm. That's all.
Personally, I like Arnold's suggestions:
Thus I recommend making integral powers and nonnegative real powers mandatory, and the most general power and the rational power optional.
Nate