Question:Imagine an infinite chessboard that contains a positive
integer in each square. If the value in...
Question
Imagine an infinite chessboard that contains a positive
integer in each square. If the value in...
Imagine an infinite chessboard that contains a positive
integer in each square. If the value in each square is equal to the
average of its four neighbours to the north, south east and west,
prove that the values in all the squares are equal. Hint
available.