can be easily generalized using the exact formula, eq. (\[eqmassinvhierarchy01\]).

A positive signal for -decay in the future experiments with $\sqrt{{\mbox{$(\Delta  m^2_{\mathrm{atm}})_{ \! \mbox{}_{\mathrm{MIN}}} \ $}}} (\cos 2 \theta_{\odot})_{\mbox{}_{\rm MIN}}
\leq {\mbox{$\left|  < \! m  \! > \right| \ $}}\!\! \leq \sqrt{{\mbox{$(\Delta  m^2_{\mathrm{atm}})_{ \! \mbox{}_{\mathrm{MAX}}} \ $}}}$, where $\!\!$, and $(\cos 2 \theta_{\odot})_{\mbox{}_{\rm MIN}}$ are determined from the experimentally measured values taking a given C.L. interval, combined with an upper bound on $m_1$, $m_1 < 0.02 \ {\rm eV}$, would lead to the conclusion that the neutrino mass spectrum is of the IH type. A “just-CP-violating” region [@BPP1] — a value of in this region would signal unambiguously CP-violation in the lepton sector due to Majorana CP-violating phases, would be present if $$\begin{aligned}
({\mbox{$\left|  < \! m  \! > \right| \ $}}_{\rm \!\!exp})_{\mbox{}_{\rm MAX}} <  \sqrt{{\mbox{$(\Delta  m^2_{\mathrm{atm}})_{ \! \mbox{}_{\mathrm{MIN}}} \ $}}}
\label{suffcondinv01a}
 \\
({\mbox{$\left|  < \! m  \! > \right| \ $}}_{\rm \!\!exp})_{\mbox{}_{\rm MIN}} >  \sqrt{{\mbox{$(\Delta  m^2_{\mathrm{atm}})_{ \! \mbox{}_{\mathrm{MAX}}} \ $}}}
( \cos 2 \theta_{\odot} )_{\mbox{}_{\rm MAX}},
\label{suffcondinv01}\end{aligned}$$ where $({\mbox{$\left|  < \! m  \! > \right| \ $}}_{\rm \!\!exp})_{\mbox{}_{\rm MAX ( MIN)}}$ is the largest (smallest) experimentally allowed value of $\!\!$, taking into account both the experimental error on the 