LocalTally/old version

Sub-page of LocalTally

Local tallies count the difference (between two resulting board positions) of the difference in the number of stones invested by each side (black and white).


[Diagram]
board position P  

For example, given an endgame problem position (P), we consider two positions (P1 and P2) which result when either black plays first (P1) or white plays first (P2).

[Diagram]
position P1: black plays first  

The single-board tally is simply the count of how many extra stones were played by a given player (positive for black, negative for white) for each board position. In other words, if, in the continuation P1, black plays two stones and white plays one (read: gote for black), then the single-board tally is +1 (positive one).

[Diagram]
position P2: white plays first  

We make a similar calculation for P2 (gote for white as well, so -1) and then subtract P1-P2 to get the local tally, in this case 1 - - 1 = 1 + 1 = 2.

This makes possible the conversion of deiri (swing) endgame values to miai (true value) endgame values by simply dividing the swing value (value of P1 - value of P2) by the number of stones invested (single-board tally for P1 - single-board tally for P2 = local tally for P ). In this way miai values give you a "return on investment" for a single stone.


LocalTally/old version last edited by aLegendWai on November 5, 2004 - 18:17
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