How do you find out best moves in chess by math?

Answer 1

Set theory

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Board:

R = Rank={1,2,3,4,5,6,7,8}

F = File ={1,2,3,4,5,6,7,8}

S = R×F

={1,2,3,4,5,6,7,8}×{1,2,3,4,5,6,7,8}

Starting Position:

SW = {1,2} × {1,2,3,4,5,6,7,8} = Starting position of White

= {1,2} × {a,b,c,d,e,f,g,h} [Co-Ordination]

SB = {7,8} × {1,2,3,4,5,6,7,8} = Starting position of Black

= {7,8} × {a,b,c,d,e,f,g,h}

Empty Squares:

E = {3,4,5,6} × {1,2,3,4,5,6,7,8}

= {3,4,5,6} × {a,b,c,d,e,f,g,h}

…etc