Appendix to lecture 6-08-00

- Below is the diagram that illustrates the combination discussed in the beginning of the lecture.

- The solution of the problem: the black starts

……. L f8-f3

If ph2:Lf3 Q b6- e3

If Qh3: Lf3 be7-h4 and the black are loosing the Quen.

- This is the formula elaborated by Claude Shannon to measure the value of a position

*f*(*P*)= 200(*K* – *K*') + 9(*Q*
– *Q*') + 5(*R* – *R*') + 3(*B* – *B*'
+ *N* – *N*')^{_ }

– .5(*D* – *D*' + *S* – *S*'
+ *I* – *I*') + .1(*M* – *M*') + . . . ,

in
which: -

*K,
Q, R, B, N, P* is the
number of White kings, queens, bishops, knights, and pawns on the board.

*D,
S, I* are doubled,
backward, and isolated White pawns.

*M* is White’s
mobility (measured, say, as the number of legal moves available to White).

Prime letters are the similar quantities
for Black.

The coefficients
9, 5, and 3 are the widely accepted valuations of relevant chess pieces; the
coefficient 200 for the king allows recognizing the end of the game. The
coefficients .5 and .1 are merely Shannon’s rough estimates of corresponding
positional parameters.