RGG FAQ Part 5 Section 4
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Both are methods of estimating the value of endgame moves. This position is an example:
Deiri counting states the difference in the scores for Black or White playing first, and whether it is sente or gote (see faq section 7.2?) for either side. Thus, this example is 2 points in gote (because either side can hane and connect in gote).
Miai counting assigns a count to the position, and a value to a play in the position. In this example, the count is 2 (Black has 2 points more than White) and the miai value is 1 (Black's haneconnect shifts the count to 3, while White's shifts it to 1).