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Haworth's Law

Haworth, G. (2013) Haworth's Law. ICGA Journal, 36 (4). p. 230. ISSN 1389-6911

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Abstract/Summary

The maximum 'Depth to Mate' (DTM(k)) data for k-man chess, k = 3-7, is now available: log(maxDTM(k)) demonstrates quasi-linear behaviour. This note predicts maxDTM for 8- to 10-man chess and the two-sigma distributions around these figures. 'Haworth's Law' is the conjecture that maxDTM will continue to demonstrate this behaviour for some time to come. The supporting datafile is a pgn of maxDTM positions, each having a DTM-minimaxing line of play from it to 'mate'.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science
ID Code:36276
Uncontrolled Keywords:best fit, chess, conjecture, DTM-minimaxing, extrapolation, forecast, linear fit, maxDTM, record
Publisher:The International Computer Games Association
Publisher Statement:The publisher, ICGA, permits the promulgation here of the published version.

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