Uniform WKB approximation of Coulomb wave functions for arbitrary partial wave

Coulomb wave functions are difficult to compute numerically for extremely low energies, even with direct numerical integration. Hence, it is more convenient to use asymptotic formulas in this region. It is the object of this paper to derive analytical asymptotic formulas valid for arbitrary energies and partial waves. Moreover, it is possible to extend these formulas for complex values of parameters.Comment: 5 pages, 2 figure

The Image of Psychoanalysis in Romanian Communist Propaganda

In 1932, a conference dedicated to Sigmund Freud was banned by the Romanian authorities, because they wanted to avoid “communist propaganda”. Twenty years later, psychoanalysis was once again officially banned, this time by the communist authorities. Because it was considered a bourgeois and a reactionary science, psychoanalysis could not be tolerated by the new regime. More than that, the psychoanalytical practice involved many risks for both psychoanalyst and patient. Not only the practice, but also the publication of works in this field was strictly forbidden. Especially in the first ten years after World War II, psychoanalysis was criticised in various books, articles and even in the press. Therefore, the progresses made by the Romanian physicians in the interwar period ceased and the most important accomplishments in this area were overshadowed by those of the communist scientists

Every point is critical

We show that, for any compact Alexandrov surface S (without boundary) and any point y in S, there exists a point x in S for which y is a critical point. Moreover, we prove that uniqueness characterizes the surfaces homeomorphic to the sphere among smooth orientable surfaces. © 2013

THE CONVERGENCE OF JUNGCK-TYPE ITERATIVE SCHEMES FOR GENERALIZED CONTRACTIVE-LIKE OPERATORS

We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fxed point of a pair of weakly compatible generalized contractive-like opera-tors defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa and Jungck-Noor itera- tions can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations and ex- tensions of the work of Olatinwo and Imoru [13], Olatinwo [14-15]. Consequently, several results in literature are generalized

Reflecţii asupra cercetării inconștientului spiritual în pastoraţie

The unconscious is one of the concepts of high interest, both for science and theology. The interest shown for the study of the unconscious is found in works conducted by specialists in philosophy, psychology, psychoanalysis and neuroscience. At the same time, in theology it is found predominantly in patristic writings but without an explicit mention of the name of the unconscious, which the science uses. The increased interest in this concept is justified by the complexity of this little-known dimension of man. Also, as the unconscious dimension is of both psychological and spiritual nature, the development of the study of the unconscious in theology is a necessity. This paper sheds light on the most relevant considerations regarding the study of the spiritual unconscious in the pastoral work. In this sense, the paper deals with the most relevant perspectives on the metaphysics of the mind because the unconscious is often associated with the mind and the psyche, as well as some aspects specific to the unconscious in philosophy and psychology. Also, the most relevant aspects of the spiritual unconscious and its dimensions, the “theophilic” unconscious and the “misotheistic” unconscious, were analysed, in order to identify the most important opportunities regarding the study of the spiritual unconscious in the pastoral work

The connected components of the space of Alexandrov surfaces

Denote by $\mathcal{A}(\kappa)$ the set of all compact Alexandrov surfaces with curvature bounded below by $\kappa$ without boundary, endowed with the topology induced by the Gromov-Hausdorff metric. We determine the connected components of $\mathcal{A}(\kappa)$ and of its closure

SUSTAINABLE ENERGY ANALYSIS OF NIGERIAN ROAD TRANSPORTATION SECTOR: EFFECTS OF INFLUENCED FUEL DEMAND PATTERNS

Petrol and diesel utilisations in the Nigerian road transportation sector have been assessed, using exergy efficiency and improvement potential as parameters. The mean petrol engine exergy efficiency was 13.05%, while that of diesel engines was 10.79%. The average improvement potential of petrol engines was 2.07×1011 MJ, which was 75.6% of average input exergy. Diesel engines had an average improvement potential of 5.15×1010 MJ, which was 69.2% of average input exergy. Practical constancy of the exergy efficiencies of the engines left input exergy values as the sole determining factors of improvement potentials of the systems. Petrol fuel was found to be utilised, away from sustainable path, more than diesel fuel. This observation was found attributable to subsidisation of petrol downstream sector and simultaneous deregulation of the diesel downstream sector as well as the preponderance of petrol engines in the road transportation sector. In conclusion, it was recommended that a mechanism be put in place to check the unsustainable petrol fuel utilisation in the transport sector

Exploring Prompt Engineering Practices in the Enterprise

Interaction with Large Language Models (LLMs) is primarily carried out via prompting. A prompt is a natural language instruction designed to elicit certain behaviour or output from a model. In theory, natural language prompts enable non-experts to interact with and leverage LLMs. However, for complex tasks and tasks with specific requirements, prompt design is not trivial. Creating effective prompts requires skill and knowledge, as well as significant iteration in order to determine model behavior, and guide the model to accomplish a particular goal. We hypothesize that the way in which users iterate on their prompts can provide insight into how they think prompting and models work, as well as the kinds of support needed for more efficient prompt engineering. To better understand prompt engineering practices, we analyzed sessions of prompt editing behavior, categorizing the parts of prompts users iterated on and the types of changes they made. We discuss design implications and future directions based on these prompt engineering practices