  The effect of magnetic fields on black hole superradiance is an exciting
topic with possible astrophysical applications. A dyonic RN-like black hole is
not asymptotically flat. It describes a black hole immersed in an
asymptotically uniform magnetic field. This paper discusses the superadditive
stability of binary RN black holes, asymptotically flat, band-like black holes.
This article introduces the above condition into dyonic RN-like black holes if
a dyonic RN-like black hole satisfies the requirement of $\mu=y\omega$, When
$\sqrt{2(B^2+Q^2)}/{r^2_+}< \omega< q\varPhi_H$,particularly $\mu \ge
\sqrt{2}(q\varPhi_H)$,the dyonic RN-like black hole is superradiantly stable at
that time.Scalars can be seen as combinations of positive/negative powers of a
base, much like the decimal system. This principle is key in math and
computing, from number systems to Fourier series (linked to $e^{i x}$ ). Dyonic
RN-like black holes show no phase transition.
