let $pounds$ be the category of locally compact abelian groups and $a,cin pounds$. in this paper, we define component extensions of $a$ by $c$ and show that the set of all component extensions of $a$ by $c$ forms a subgroup of $ext(c,a)$ whenever $a$ is a connected group. we establish conditions under which the component extensions split and determine lca groups which are component projective. ...

In the component order connectivity problem, we are given a finite undirected graph G = (V,E) and non-negative integers k, ℓ. The goal of this problem is to determine whether there exists subset S ⊆ V such that |S| ≤ k size every connected subgraph induced by \ at most paper, consider generalization where condition on sizes components generalized non-decreasing subadditive functions defined sub...

Air cycle systems (ACSs) are primarily used in aircraft environmental control (ECSs) to provide a suitable cabin temperature and pressure environment for passengers avionics. It comprises heat exchangers, compressors, turbines, water separators, various other components that interconnected form an information-transmission network. Traditional research on ACSs has focused their thermal performan...

Independent Component Analysis (ICA) is intended to recover the mutually independent sources from their linear mixtures, and F astICA one of most successful ICA algorithms. Although it seems reasonable improve performance by introducing more nonlinear functions negentropy estimation, original fixed-point method (approximate Newton method) in degenerates under this circumstance. To alleviate pro...