The origin of life has previously been subject to numerous studies and hypotheses. Typically, related models focus on the emergence of chemical networks such as the RNA world or the Krebs energy cycle. Here, the onset of life is described as a symmetry-breaking kinetic phase transition of the II. kind. The novel symmetry of life is the arbitrariness of code that is fundamental to symbolic information processing, coining all forms of life from the very beginning. Symbols evolved from non-symbolic, structural information of the inanimate physical world. The responsible transition process had been discovered a century ago in behavioural biology, regarded as 'ritualisation'. Physical properties of this transition include neutral Lyapunov stability and critical fluctuations of the associated Goldstone modes. As a conceptual model, a hypothetical simple molecular ritualisation process is suggested, along with the emergent semiotics of symbolic information processing.

This paper examines the sociological impact of religion in society across three dimensions. It defines religion through Durkheim's perspective, explores the socio-psychological effects based on Mehan, Wood, Merton, and Fanoz, and delves into religious symbolism drawing from Geertz and Bellah. Emphasizing moral values in religious beliefs, the paper argues that societies rely on religion for social order. Using the Azande tribe as a case study, it illustrates the subjective nature of reality and the link between religious rituals and community harmony. This paper addresses historical suppression during colonialism, discusses Fanon's insights, explores Geertz's symbolic interactionist perspective, and analyzes Civil Religion, highlighting its potential political misuse in the American context. Ultimately, it recognizes religion's influential role in shaping societal dynamics and human interpretations while acknowledging the importance of moral values and symbols.

Living organisms are active open systems far from thermodynamic equilibrium. The ability to behave actively corresponds to dynamical metastability: minor but supercritical internal or external effects may trigger major substantial actions such as gross mechanical motion, dissipating internally accumulated energy reserves. Gaining selective advantage from beneficial use of activity requires a consistent combination of sensual perception, memorised experience, statistical or causal prediction models, and resulting favourable decisions on actions. This information processing chain originated from mere physical interaction processes prior to life, here denoted as structural information exchange. From there, the self-organised transition to symbolic information processing marks the beginning of life, evolving by novel purposivity of trial-and-error feedback and accumulation of symbolic information. The emergence of symbols and prediction models can be described as a ritualisation transition, a symmetry-breaking kinetic phase transition of the 2^nd kind previously known from behavioural biology. The related new symmetry is the neutrally stable arbitrariness, conventionality or code invariance of symbols with respect to their meaning. The meaning of such symbols is given by the structural effect they ultimately unleash, directly or indirectly, by deciding on which actions to take. The early genetic code represents the first symbols. The genetically inherited symbolic information is the first prediction model for activities sufficient for survival under the condition of environmental continuity, sometimes understood as a “final causality” property of the model.

In this paper, we study the asymptotic properties of slowly varying functions of one real variable in the sense of Karamata. We establish analogs of fundamental theorems on uniform convergence and integral representation for slowly varying functions with remainder depending on the types of remainder. We also prove several important theorems on the asymptotic representation of integrals of Karamata functions. Under certain conditions, we observe a “narrowing” of classes of slowly varying functions concerning the types of remainder. At the end of the paper, we discuss the possibilities of application of slowly varying functions in the theory of stochastic branching systems. In particular, under the condition of the finiteness of the moment of the type Exlnx for the particle transformation intensity, it is established that the property of slow variation with remainder is implicitly present in the asymptotic structure of a non-critical Markov branching random system.

Preconception lifestyle modification and reducing several known risk factors may have an influence on the future pregnancy outcome. The aim of the study was to analyse health behaviour and personal values, as well as to assess the relationship of these factors in women without children, in pregnant ones and in women who had already delivered babies. The questionnaire survey included Health Behaviour Inventory (HBI), Personal Value List (PVL) and the sociodemographic data and was conducted in 538 women. These women were divided into 3 groups: women who recently delivered (n = 235), pregnant women (n = 121) and childless women (n = 182). Pregnant women demonstrated a significantly higher level of declared health behaviours and also they rated higher subscales values "positive mental attitude" and "health practices" in comparison to women who recently delivered and to childless women. In all tested groups the highest rated personal value was "a successful family life", while the most appreciated symbol of happiness was "love and friendship". Our results suggest that the system of values and the perception of happiness symbols may influence women's health behaviours. Positioning “health” in the hierarchy of personal values as the most important one may facilitate introduction of healthy behaviours. This in turn could reduce several adverse pregnancy outcomes that are potentially modifiable with changing preconception health attitudes. Our results also identify several unanswered questions and highlights areas where new research is needed.

Firstly, we present a more explicit formulation of the complete system $D(N)$ of representatives of Manin's symbols over $\mathbb{Q}$, which was initially given by Shimura. Then we establish a bijection between $D(M)\times D(N)$ and $D(MN)$ for $(M,N)=1$, which reveals a recursive structure between Manin's symbols of different levels. Based on Manin's complete system $\Pi (N)$ of representatives of cusps on $X_0(N)$ and Cremona's characterization of the equivalence between cusps, we establish a bijection between a subset $C(N)$ of $D(N)$ and $\Pi (N)$, and then establish a bijection between $C(M)\times C(N)$ and $C(MN)$ for $(M,N)=1$. We also provide a recursive structure for elliptical points on $X_0(N)$. Based on these recursive structures, we obtain recursive algorithms for constructing Manin symbols over $\mathbb{Q}$, cusps and elliptical points on $X_0(N)$. This gives rise to a more efficient algorithms for modular elliptic curve. As direct corollaries of these recursive structures, we present a recursive version of the genus formula and an elementary proof of formulas of the numbers of $D(N)$, cusps and elliptical points on $X_0(N)$.

This paper provides the solution to understanding the hitherto unknown writing system used for the manuscript listed as MS 408 at the Beinecke Library, Yale University. The writing system uses symbols, punctuation, grammar and language that are each unique. The manuscript is not encrypted, in the sense that its author made an effort to conceal the contents of the manuscript, as has been presumed by some scholars. Instead, it is code only in the sense that the modern reader needs to be versed in the calligraphic and linguistic rules to be able to translate and read the texts. Furthermore, in discovering its writing system, it became apparent that the manuscript is of invaluable importance to the study of the evolution of the Romance languages and the scheme of Italic letters and associated punctuation marks now commonplace in those and other modern languages. In short; it is revealed to be the only known document both written in Vulgar Latin, or proto-Romance, and using proto-Italic symbols. The original title for the manuscript, given by its female author, is: What one needs to be sure to acquire for the evils set in one’s fate. It is a book offering homeopathic advice and instruction to women of court on matters of the heart, of sexual congress, of reproduction, of motherhood and of the physical and emotional complications that can arise along the way through life. The manuscript has now been dated to the year 1444 and the location of its creation has been pinpointed to the court of Castello Aragonese, on the island of Ischia: as expounded in the companion paper Linguistically Dating and Locating Manuscript MS408: http://ling.auf.net/lingbuzz/003808.