The Internal Secularisation of Religion

This paper analyses the issue of the internal secularisation of religion, which can occur on many different levels (privatization of religious life, change in the universe of meaning, the adaptation of religion to contemporary culture, lacking sensitivity to the "sacrum", the primacy of politics over religion). Three currently important manifestations of the internal secularisation of religion have been analysed. The first manifestation is the secularisation of the consciousness of believers, the second is the excessive institutionalisation and bureaucratisation of religion and the third is the domination of secular (auxiliary) functions over typically religious (essential) functions.

A New Approach to Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces

Very recently, by considering a self-mapping T on a complete metric space satisfying a general contractivity condition of the form ψ(d(Tx,Ty))≤φ(d(x,y)), Proinov proved some fixed-point theorems, which extended and unified many existing results in the literature. Accordingly, inspired by Proinov-type contraction conditions, Roldán López de Hierro et al. introduced a novel family of contractions in fuzzy metric spaces (in the sense of George and Veeramani), whose main advantage is the very weak constraints imposed on the auxiliary functions that appear in the contractivity condition. They also proved the existence and uniqueness of fixed points for the discussed family of fuzzy contractions in the setting of non-Archimedean fuzzy metric spaces. In this paper, we introduce a new family of fuzzy contractions based on Proinov-type contractions for which the involved auxiliary functions are not supposed to satisfy any monotonicity assumptions; further, we establish some new results about the existence and uniqueness of fixed points. Furthermore, we show how the main results in the above-mentioned paper can be deduced from our main statements. In this way, our conclusions provide a positive partial solution to one of the open problems posed by such authors for deleting or weakening the hypothesis of the nondecreasingness character of the auxiliary functions.

Common fixed point theorems for auxiliary functions with applications in fractional differential equation

In this work, we investigate h-ϕ contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the solutions for Caputo fractional boundary value problems with the integral boundary condition type. In addition, we also give examples and numerical experiments supporting our main results.

The Exact Evaluation of Basic Two-Center Coulomb Integrals Appearing in Intermolecular Electrostatic Interaction Energy in Molecular Coordinate System

We proposed a general and effective approach for accurate calculating method of the electron-electron, nuclear-electron and nuclear-nuclear Coulomb electrostatic interaction energies. It is well known that electron-electron, nuclear-electron and nuclear-nuclear Coulomb electrostatic interaction energies reduced to basic two-center Coulomb integrals. The analytical calculation of electrostatic interaction energies with respect to basic two-center Coulomb integrals over Slater type orbitals (STOs) in molecular coordinate systems allows us the routine evaluation of molecular structures and related properties. In this study we have introduced a new full analytical algorithm for calculation of the basic two-center Coulomb integrals over STOs by using Guseinov’s auxiliary functions especially interactions between electrons. The auxiliary functions has been calculated by using the exact recurrence relations which developed by Guseinov. The new approach is successfully tested on earlier published studies data and can be recommended for evaluation of related problems in atomic and molecular physics.

Reading the wedding at Cana in Galilee (Jn 2:1–11) through the lenses of introverted sensing and introverted intuition: Perceiving text differently

Working within the reader perspective approach to biblical hermeneutics, a series of empirical studies have tested the theory that the readers’ psychological type preference between sensing and intuition (the two Jungian perceiving functions) shapes distinctive readings of biblical narratives. More recently, closer attention has also been given to differentiation within these two perceiving functions of sensing and intuition with regard to their introverted and extraverted orientation. Against this background, the present study examines the distinctive reading of the Johannine narrative of the wedding at Cana, a passage rich in materials to engage the perceiving functions, by two groups whose dominant or auxiliary functions were introverted sensing and introverted intuition.Contribution: Situated within the reader perspective approach to biblical hermeneutics, the sensing, intuition, feeling, thinking (SIFT) method is concerned with identifying the influence of the psychological type of the reader in shaping the interpretation of text. The foundations of the SIFT approach distinguish amongst the four functions of sensing, intuition, feeling and thinking. The present study builds on this foundation by introducing the nuance of the orientation in which the function is expressed, in this case focusing specifically on introverted sensing and introverted intuition.

Proinov-Type Fixed-Point Results in Non-Archimedean Fuzzy Metric Spaces

Very recently, Proinov introduced a great family of contractions in the setting of complete metric spaces that has attracted the attention of many researchers because of the very weak conditions that are assumed on the involved functions. Inspired by Proinov’s results, in this paper, we introduce a new class of contractions in the setting of fuzzy metric spaces (in the sense of George and Veeramani) that are able to translate to this framework the best advantages of the abovementioned auxiliary functions. Accordingly, we present some results about the existence and uniqueness of fixed points for this class of fuzzy contractions in the setting of non-Archimedean fuzzy metric spaces.

On the Best Constant Problem for a Class of Mixed-Norm Hardy Inequalities

In this paper, we obtain the best constant and the equality condition for a class of mixed-norm Hardy inequalities when the weight is a power function. By building and solving the corresponding Euler equation, we look for the best constant and the optimal function. One of the main ingredients is to introduce two key auxiliary functions so that the corresponding equalities are derived.