 In this case, according to the BDMI actualization rule, the preferred context of the measured object system \(S\) is defined by the set \(\{\ket{a_i}\}\) and the preferred context of the measuring apparatus \(M\) is defined by the set \(\{\ket{p_i}\}\). Therefore, the pointer position is a definite-valued property of the apparatus: as a result of the interaction with the object system the pointer acquires one of its possible values (eigenvalues) \(p_i\). Likewise, after the interaction the measured observable is a definite-valued property of the object system, and acquires one of its possible values (eigenvalues) \(a_i\).