And generally there will be two such values of them for which the equations will be simultaneously satisfied. So with k distinct parameters k − − 2 parameters can always be chosen arbitrarily and still we can find two such α α k s such that there would be crossing of energy eigenvalues. In other words, the values of E + and E − − would be the same for k − − 2 freely varying co-ordinates (while the rest of the two co-ordinates are fixed from the condition equations). Geometrically the eigenvalue equations describe a surface in k dimensional space.