Trustworthy Intrusion Detection in E-Healthcare Systems.

In Internet of Things (IoT)-based network systems (IoT-net), intrusion detection systems (IDS) play a significant role to maintain patient health records (PHR) in e-healthcare. IoT-net is a massive technology with security threats on the network layer, as it is considered the most common source for communication and data storage platforms. The security of data servers in all sectors (mainly healthcare) has become one of the most crucial challenges for researchers.

Nonexistence of stable -stationary maps of a functional related to pullback metrics.

Let [Formula: see text] be a compact convex hypersurface in [Formula: see text]. In this paper, we prove that if the principal curvatures [Formula: see text] of [Formula: see text] satisfy [Formula: see text] and [Formula: see text], then there exists no nonconstant stable -stationary map between and a compact Riemannian manifold when (6) or (7) holds.

Weighted quantitative isoperimetric inequalities in the Grushin space [Formula: see text] with density [Formula: see text].

In this paper, we prove weighted quantitative isoperimetric inequalities for the set [Formula: see text] in half-cylinders in the Grushin space [Formula: see text] with density [Formula: see text], [Formula: see text].