Computation of Secular Perturbations

Secular dynamics of coplanar, non-resonant planetary system under the general relativity and quadrupole moment perturbations

We construct a secular theory of a coplanar system of N-planets not involved in strong mean motion resonances, and which are far from collision zones. Besides the point-to-point Newtonian mutual interactions, we consider the general relativity corrections to the gravitational potential of the star and the innermost planet, and also a modification of this potential by the quadrupole moment and t...

Computation of Madalines' Sensitivity to Input and Weight Perturbations

The sensitivity of a neural network's output to its input and weight perturbations is an important measure for evaluating the network's performance. In this letter, we propose an approach to quantify the sensitivity of Madalines. The sensitivity is defined as the probability of output deviation due to input and weight perturbations with respect to overall input patterns. Based on the structural...

Symbolic computation of the Duggal transform

Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical charac...

Reclaiming the Secular: Developing Dialogic Skills for a Post-Secular Society

This research paper addresses secularization from both political and religious perspectives. One of its manifestations in the political sphere is that of globalization that can lead to alienation within society; and in the United Kingdom this is exemplified by Brexit. Within the religious sphere secularization is usually couched in oppositional terms. This paper reclaims the original use ...

Effects of secular