Volume 10, Issue 2
In and Out
Download This Issue
Staff and Contributors
T R O T T ' S C O R N E R
Search Function for the Constants
In this section we implement the main search function. Some of the searches we carry out run for many hours or even days. So, to see some progress, we define a function, printProgressCell, that prints the current state of the search.
The function SearchForTrottConstants searches for a Trott constant in base base starting with the initial sequences initialSequences. Options for this function are: RecordSearchHistory, which determines if the maximal number of coinciding digits as a function of the iteration number should be recorded through the function searchHistoryData; AllowZeroDigits, which determines if 0 is allowed as a digit; PrintSearchProgress, which determines if cells showing the search progress should be printed; MaxIterations, which determines the maximal number of iterations; and MinDigitsWanted, which determines the minimum number of digits that agree that are wanted.
Here is the search function SearchForTrottConstants. The method is quite simple. Starting with the pool of given initial sequences initialSequences, we repeatedly add base digits, evaluate their quality (which means the number of coinciding digits in the two representations), and keep the best poolSize sequences in the pool. We repeat this process until either the best sequence no longer shows improvements or the specified number of digits that agree has been achieved. The comments in the code explain the individual steps.
This example shows SearchForTrottConstants during the search.
About Mathematica | Download Mathematica Player
© 2006 Wolfram Media, Inc. All rights reserved.