Meaning of the derivative as a rate of change through a graphic argumentation. A case with Chilean students

From the socio-epistemology perspective, the teaching of the derivative is problematized due to the lack of reference frameworks that give variational meanings to the derivative and allow its construction by means of graphical arguments. The objective of this research was to analyze the construction of meanings of the derivative, as a rate of change, that Chilean students developed through a graphic argumentation in a specific situation of variation. In order to respond to the stated objective, a qualitative methodology was used, consisting of a case study, where a situation of variation was designed with the purpose of promoting the analysis of temperature changes in specific everyday life phenomena. This design was applied to ten Chilean high school students interested in studying engineering. As a result of the research, it was obtained that the participants, through a graphic argumentation, understood the slope of a straight line as a rate of change of temperature regarding time. It was concluded that this research provides elements for the construction of frames of reference that signify the derivative, as a rate of change, in situations of variation, valuing the graphic arguments and functional justifications that emerged from the students.

The gompertz exponential pareto distribution with the properties and applications to bladder cancer and hydrological datasets

Many existing distributions in literatures does not have the modeling fits capacity to adequately describe the real-life phenomena. The Exponential Pareto (EP) distribution has further gained some generalizations among several authors using different generator techniques with an aim to obtain a new distribution with greater flexibility. This article proposes Gompertz Exponential Pareto (GEP) distribution using the Gompertz generator. Findings from the study revealed some lifetime distributions as special cases and mathematical properties of the distribution investigated including the mean, variance, coefficient of variation, quantile, moment, moment generating function and, order statistics. The distribution can be positively or negatively skewed. It is unimodal with failure rates whose shapes could be reversed J bathtub, constant, decreasing and, increasing and the parameters were estimated using maximum likelihood estimation approach. Applications to two real-life datasets revealed the ability of GEP distribution to provide more flexibilities and better fit to the dataset compared to some previously proposed distributions for the data. The results also revealed that GEP had the superior performance over other generalizations of EP distribution existing in literatures and the performance has further strengthened the usefulness of the Gompertz-generator technique.

Solutions to Some Real-Life Problems Based on Mathematical Modeling and Functional Minimization

Building mathematical models that can describe, predict, and explain real-life phenomena is useful. This paper features the functional dependency model and the square of this functional dependency which hold significant information. A mathematical model that relates these functional dependencies with the average value of the function was developed to show that for an arbitrary well-behaved function, the definite integral of the square of the function over a finite interval is minimal when the function is constant over the interval. Finally, the model’s validity and accuracy in representing real-world problems for different situations in physics like mechanics, quantum mechanics, and electricity in economics were evaluated.

Applications of Optimal Spline Approximations for the Solution of Nonlinear Time-Fractional Initial Value Problems

Nonlinear fractional differential equations are widely used to model real-life phenomena. For this reason, there is a need for efficient numerical methods to solve such problems. In this respect, collocation methods are particularly attractive for their ability to deal with the nonlocal behavior of the fractional derivative. Among the variety of collocation methods, methods based on spline approximations are preferable since the approximations can be represented by local bases, thereby reducing the computational load. In this paper, we use a collocation method based on spline quasi-interpolant operators to solve nonlinear time-fractional initial value problems. The numerical tests we performed show that the method has good approximation properties.

Religiöse Spuren im Alltag

Acronyms, songs, advertisements, movies, television series, comic strips, memes or even sports news: Traces of Christian symbols, sayings, or references can be found in numerous places and contexts. But most children and adolescents exposed to religious education in German schools, only know these contemporary references without being aware of their origins. So one of the most challenging tasks in religious education is enabling learners to decode those references and adaptations. Being able to decode the occurring transformations of religion within these daily life phenomena is the prerequisite for being able to make an informed decision about the underlying concepts and religious ideas. This article provides an example of how to alternatively address the quite abstract teaching of dyophysitism by using snippets of the famous animated sitcom „The Simpsons“.

THEMATIC RANGE AND ACTUAL IDEAS OF MODERN KAZAKH STORIES

The story is a small volume type of prose, compact, easy to read. At the present stage, the reader's interest in the small genre of prose, which can be seen in the Tom-Tom novels, is especially in demand. Therefore, the study of modern stories is relevant. The main purpose of the research article is to identify the features of life phenomena and author's ideas that make up the content of modern stories. The research was based on stories published in the newspaper” Kazakh Adebieti " over the past five years. The life situations that served as the basis for the conversations were grouped depending on the thematic specifics. The author's views on the topics are systematized and defined. One of the main tasks of the writer is to introduce national interest to the work. The modern story reveals the writers ' position on the causes of various changes in society, the market, scientific progress, contradictions in the correlation of political and social events with the system of national values. One of the main tasks of the research is also to differentiate the features of reflecting the reality of life in synchronous conversations that were censored or written on historical, environmental topics about the abuses of the Soviet government to the Kazakh people during the Soviet period. Behavioral changes and the influence of social aspects on human psychology are analyzed from the point of view of human science. The thematic sphere and actual ideas of modern conversations are discursively analyzed.

Genome Attractors as Places of Evolution and Oases of Life

So far, much effort has been made to understand evolution and life phenomena. However, the more we know, the more new puzzles appear. This article introduces some new approaches to understanding what drives evolution. Organism evolution has been examined using artificial neural networks and a semihomologous approach based on the sequences of cytochrome c. To realize this task, three and four-layer neural networks have been designed and then taught. It has been shown that the four-layer neural network more clearly recognizes evolutionary similarities, usually indicating greater (comparing to the three-layer network) similarities to the organisms that were used to train the neural networks. It has been noted that unified cell bioenergetics allows describing the manner in which the main engine that drives evolution works. Reasons for some diseases have been also interpreted to present considerations in a broader and more holistic view. The presented results point out that the evolution of organisms can be considered as a discontinuous process taking place mainly in genome attractors that define and stabilize organisms.

Standardized Method for the Assessment of Behavioral Responses of Zebrafish Larvae

Zebrafish are easy to breed in a laboratory setting as they are extremely fertile and produce dozens of eggs per set. Because zebrafish eggs and the skin of the early-stage larvae are transparent, their embryos and the hearts and muscles of their larvae can be easily observed. Multiple rapid analyses of heart rate and behavior can be performed on these larvae simultaneously, enabling investigation of the influence of neuroactive substances on abnormal behavior, death, and associated pathogenetic mechanisms. Zebrafish larvae are becoming increasingly popular among researchers and are used in laboratories worldwide to study various vertebrate life phenomena; more experimental systems using zebrafish will undoubtedly be developed in the future. However, based on the available literature, we believe that the conceptualization of a protocol based on scientific evidence is necessary to achieve standardization. We exposed zebrafish larvae at 6–7 days post-fertilization to 50 repeated light–dark stimuli at either 15-min or 5-min intervals. We measured the traveled distance and habituation time through a video tracking apparatus. The traveled distance stabilized after the 16th repetition when the zebrafish were exposed to light–dark stimuli at 15-min intervals and after the 5th repetition when exposed at 5-min intervals. Additionally, at 15-min intervals, the peak of the traveled distance was reached within the first minute in a dark environment, whereas at 5-min intervals, it did not reach the peak even after 5 min. The traveled distance was more stable at 5-min intervals of light/dark stimuli than at 15-min intervals. Therefore, if one acclimatizes zebrafish larvae for 1 h and collects data from the 5th repetition of light/dark stimuli at intervals of 5 min in the light/dark test, a stable traveled distance result can be obtained. The establishment of this standardized method would be beneficial for investigating substances of unknown lethal concentration.

Organization Citizenship Behaviour and Work-Life Interface Practices: Exploring Entrepreneurial and Intrapreneurial Mindset

This research was conducted on women working professionals (such as entrepreneurs and managers/intrapreneurs), to understand the effects of organizational citizenship behaviour on the quality of their work life. A representative sample of 480 women working professionals was selected using a quasi-experimental sampling technique. The data were collected using the Organization Citizenship Behaviour-Checklist and Quality of Worklife Scale (QoWL) and was analyzed using ‘t’, UNIANOVA, two-way ANOVA with post-hoc analysis. Findings indicated that the respondents’ attitude towards work was favourably affected by their involvement, satisfaction and commitment towards their work-roles, organizational size and tenure of work. The analysis of interviews with respondents revealed that there is a negative impact of their professional lives on their psychological and physical self and many of them complained of experiencing insomnia, lack of consideration for own health, juggling between personal-professional life, dissatisfying work-life balance, negative displacement of anger among family members and children and so on. Striking similarities were also observed on the scores, high scorers were also observed to be high on achievement motive, have tolerance towards risk, were driven by ‘internal locus of control’, and were cautious and vigilant, having high intention towards entrepreneurial pursuits. Here ‘selection of the career’ has become their ‘lifestyle-by-product’ differentiating their work and life phenomena.

Shared Death Experiences: A Little-Known Type of End-of-Life Phenomena Reported by Caregivers and Loved Ones

Anecdotal evidence suggests that some loved ones and caregivers of dying patients undergo a type of end-of-life phenomena known as a shared death experience or SDE, whereby one feels that one has participated in a dying person’s transition to a post-mortem existence. Anecdotal evidence also suggests that SDEs can have a range of profound psycho-spiritual-emotional effects. However, SDEs have been all but ignored in hospice and palliative medicine, leaving professional bereavement services uninformed about SDEs and leaving individuals who report SDEs without adequate professional support to process and integrate them. To better understand the features and effects of SDEs, an inductive content analysis was performed on written accounts and transcripts of semi-structured interviews with 107 persons reporting a total of 164 SDEs. Analysis revealed 4 distinct though non-exclusive modes of an SDE: remotely sensing a death, witnessing unusual phenomena, feelings of accompanying the dying, and feelings of assisting the dying. Analysis also revealed 3 major domains of SDE effects: changes in belief, the reconciliation of grief, and the perception of continued relational bonds with the deceased. Interviews highlighted both difficulties and therapeutic value in people openly discussing their experiences with health professionals. We believe that integration of information about SDEs offers an opportunity to add to the breadth and quality of psychological, spiritual, and bereavement care.