We consider the characteristic polynomials of random unitary matrices U drawn from various circular ensembles. In particular, the statistics of the coefficients of these polynomials are studied. The variances of these “secular coefficients” are given explicitly for arbitrary dimension and continued analytically to arbitrary values of the level repulsion exponent β. The latter secular coefficien...

secular ethics – which is known as the de-religionized, human, or conventional ethics – contrasts the religious and divine ethics. its roots are in humanistic thought that adapts itself to the needs and the direction of the society. therefore, the contraction and dilation of secular ethics will be unstable, gradual, and accidental. moreover, it is not possible to expect this thought system to p...

We perform numerical simulations to study the secular orbital evolution and dynamical structure in the HD 69830 planetary system with the best-fit orbital solutions by Lovis and coworkers (2006). In the simulations, we show that the triplet Neptunian system can be stable at least for 2 Gyr and the stability would not be greatly influenced even if we vary the planetary masses from Neptune-mass t...

Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these are an approximate nature, they often do not respect laws thermodynamics no secular approximation is performed in their derivation. Here we introduce equation that thermodynamically consistent and provides accurate description whenever can The...

A numerical N–body integration of the asteroid (4660) Nereus over 3.5 Myr shows the presence of the Kozai resonance and two secular resonances inside a horseshoe orbit with Venus. This 1/1 mean motion resonance with Venus remains stable during the whole time span though a secular increase of the orbital inclination of the small body occurs due to the overlapping of two secular resonances, namel...

We derive a secular theory for Trojan-type motion in the framework of the restricted three-body problem, which is valid inside the entire regular coorbital region. We show that under certain conditions it is possible to extend the theory to include the secular perturbations from additional bodies and an oblate central mass. We are then able to predict the location of linear secular resonances w...

This essay argues that if social justice is to prevail in our world, we must understand the post-secular nature of our globalized society as a prerequisite for moving beyond “might is right” to national and international relations that heed all voices towards evidence-based interaction. The authors post-secular world and postmetaphysical world-orientation requires of us complementary learning p...

This article provides a test of the secularization hypothesis, which argues that economic growth, industrialization, increased literacy and decreasing fertility depress religiosity. It focuses on the elections of the secular politicians who voted in favor of the separation between Church and State in the French Parliament in 1905. If the secularization hypothesis is correct, these secular polit...

METHODS Spirometry datasets from South-Asian children were collated from four centres in India and five within the UK. Records with transcription errors, missing values for height or spirometry, and implausible values were excluded(n = 110). RESULTS Following exclusions, cross-sectional data were available from 8,124 children (56.3% male; 5-17 years). When compared with GLI-predicted values f...

This article aims to understand why religion has proven difficult address in secular healthcare, although existential communication is important for patients’ health and wellbeing. Two qualitative data samples exploring healthcare were analyzed following Interpretative Phenomenological Analysis, leading the development of analytical constructs ‘the secular’ non-secular’. The differentiation non...