HOW CORRECTLY WE TELL PUPILS ABOUT THE NUMBER OF NUMERALS IN DIFFERENT NOTATIONS?

2020 ◽  
pp. 8-18
Author(s):  
E. A. Eremin ◽  
K. Yu. Polyakov

The article proposes to take a fresh look at the traditional for any informatics course material, which describes the fundamental principles of number representation. It considers in details the ideas how different number notations are formed; special attention is paid to the problem related to the amount of numerals used for presenting values in every digit. It is shown that frequent in school informatics definition of radix as an amount of numerals that employed in a system becomes incorrect under careful review. For those who want to discuss this problem at a lesson, two ways are possible: one (stricter) is founded on mathematical formulas, and another is based on a generalization of various notation examples; both methods are presented in the article. Besides for demonstrative narrating of the material to pupils the authors designed their own analogy, which facilitates understanding of the topic. Practical application of notations to computer technique is also discussed.

Author(s):  
Robert D. Enright ◽  
Jacqueline Y. Song

The psychology of forgiveness originated from the creative and important work on the development of justice initiated by Piaget in 1932 and extended by Kohlberg in 1969. The scientific study of forgiveness is quite new, having emerged in print in 1989, with an examination of the developmental progression in children’s, adolescents’, and adults’ thinking about the necessary conditions for them to offer forgiveness to another person. In this chapter, the authors first review the definition of forgiveness, followed by this early cognitive work. They then turn to a discussion of the measurement of forgiveness correlates of forgiveness. The practical application of this construct is seen in the development of forgiveness therapy and forgiveness education, which the authors discuss in light of the empirical findings. Future directions for forgiveness studies are considered.


2018 ◽  
Vol 36 (2) ◽  
pp. 186-202
Author(s):  
Francesco Tajani ◽  
Pierluigi Morano

Purpose The purpose of this paper is to develop a method to support the definition of efficient and fair divisional projects in particularly complex cases concerning inheritance disputes. Design/methodology/approach First, the approach involves an appraisal of the market value of the assets, along with an analysis of the respective conditions of concrete divisibility; then, two mathematical models have been developed for the assignment of the assets to the subjects involved in the divisional projects. The logic underlying of both models has been translated into mathematical algorithms that allow for the minimization of the monetary compensations resulting from the differences between the legal right shares and the actual portions to be attributed to them. Findings Both models have been developed through mathematical formulas that can be easily implemented by using an appropriate calculation software. They can be used in particularly complex inheritance divisions, in which the deceased’s assets are numerous and there are several heirs with similar or different legal right shares. Originality/value The methodology is useful in the disputes that could arise in hereditary successions. The fundamental value is that the models could support the definition of the best solution in particularly complex situations, characterized by a large number of assets to be assigned and/or the existence of “preferential” constraints for the assignment of the assets.


Author(s):  
Moreno Bonda

The investigation of medieval literature poses a number of challenges, even to native speaker researchers. Such difficulties are related to (a) linguistic – syntactical and lexical – obstacles, (b) to the ability to recognise dense networks of interdisciplinary references and, (c) mainly to the cognitive challenges posed by “unfamiliar modes of expression”. The aim of this research is to discuss a methodological approach to deal with these unusual manners of composition, technically known as modal difficulty, in medieval literature. The theoretic setting is represented by Davide Castiglione’s monographic study Difficulty in Poetry (2018) and the specific definition of modal difficulty elaborated by James E. Vincent in the premise of his treatise on American poetry (2003). A study case illustrative of challenges in medieval literature analysis has been chosen to illustrate the speculative reasoning: the references to the celebrated mathematician Leonardo Fibonacci (1170–1242) – known for having introduced the Arabic numbers to the Europeans – in Dante Alighieri’s Divine Comedy. Preliminarily, the author discusses unfamiliar mathematical notations implemented from the 13th to the 18th centuries. Subsequently, adopting cognitive linguistics principles and hermeneutic as methodological tools, several veiled citations of the mathematician’s cogitations – such as the chess comparison in Paradise XXVIII, 91–93 and the quadratic expression in Paradise XXVII, 115–117 – are deciphered and illustrated. The analysis of Dante’s cognitive frame indicates that the recourse to Fibonacci’s formulas is functional to depict the incommensurable multitude of the divine in words. In the conclusions, the case studied is adopted as a model to illustrate how the reflection on unusual forms of expression could be employed to investigate ancient literary texts. A preliminary analysis of the frame-notation relation could help, as an example, to recognise mathematical formulas that were expressed in a verbal and non-symbolic notation.


Author(s):  
Samantha Mehltretter ◽  
Andrea Bradford

The Canadian Engineering Accreditation Board’s definition of professionalism, one of twelve graduate attributes, does not mention professional behaviour, but rather focuses on understanding the role of engineers in society. While difficult to define, challenging to teach, and even harder to assess, the engineering faculty at the University of Guelph felt professional behaviour was an important element of professionalism to consider in their curriculum.  This study investigates how professional behaviour might be taught and assessed. The researchers developed course material on professional behaviour for the winter 2019 offering of a third-year multidisciplinary design course (369 students), using Kelley et al.’s (2011) Professionalism Assessment Tool (PAT). Using a quasi-experimental design, the researchers assessed whether student professionalism improved based on their change in PAT scores over the semester using a Wilcoxon Signed-Rank test. They also analyzed a sample of student final reflections on professional behaviour. Student PAT scores increased significantly over the semester (n = 340, p<0.05), but the effect sizes observed, using Cohen’s d, were small (0.14 to 0.29). The student reflections (n = 53) suggest that improvements to their professionalism were a result of working in a team, experience gained from their project, and individual efforts made to behave professionally.  While infrequently discussed in the reflections, over half of the post-term survey responses revealed that students felt the lab activities helped improve their professional skills generally, and/or increased their awareness of these skills. The improved awareness aspect of student professionalism was an unexpected, but important outcome of the PAT-based course material and may have reinforced student ownership of their soft skill development.  


Author(s):  
Wijckmans Frank ◽  
Tuytschaever Filip

This chapter discusses the market share limits that determine the applicability of Regulation 330/2010. Each of the supplier and the buyer must in principle remain below an individual limit of 30 per cent. In order to assess the market share limits, the chapter addresses the following steps of the analysis: (i) ninth step: definition of the relevant market; and (ii) tenth step: calculation of the market shares. It concludes by addressing the concrete and practical application of the market share limits in accordance with Regulation 330/2010 and offers easy-to-read overview tables illustrating the effect of changes in the market share levels over time.


2015 ◽  
Vol 12 (4) ◽  
pp. 39-52 ◽  
Author(s):  
Martin Hooper ◽  
Anders Ekholm

Today, with many of the technological issues of integrated information management resolved (perhaps excluding the matter of interoperability), defining the content and status of BIM information deliveries remains both a practical and a theoretical problem. New BIM tools and new design processes and procedures have led to a certain confusion of what information is needed for particular BIM uses. This paper seeks to explore and enable a method of defining the content of model information deliverables through a review of 2 key primary specific BIM uses: 3d Design Coordination and Early Energy Appraisal through an analysis of practical application. The scope of this study is limited to a review of information flow within residential projects in a Swedish context and looks at two projects with a view to identify and establish a common definition of the key BIM objects and properties necessary for particular tasks. The key deliverable from this study is the BIM-Info Delivery Protocol (IDP) which attempts to align consultant BIM-information delivery expectations and represents a tangible solution to assist consultants to manage BIM information. Concluding reflections consider the positioning of the IDP relative to the on-going development of IDMs / MVDs and highlight the key constituent parameters of an Information Delivery Specification (IDS).  


2012 ◽  
Vol 614-615 ◽  
pp. 971-975
Author(s):  
Ping He ◽  
Zhi Jie Zhu ◽  
Hong Cheng Jiang

In a centralized control center SCADA system, thousands of real-time data are sent to SCADA, including real-time signal, telemetering and alarm information. The intelligent analysis and processing of alarm signals is an important requirement. This article from the design point of intelligent alarm rules, explore an internal reasoning knowledge base and the external definition of rules combined design algorithm. Practical application results show that, the algorithm to power a variety of abnormal and fault has better capture and analysis ability.


2020 ◽  
Author(s):  
I.I. Krasikov ◽  
A. N. Kulemin

The digital twin is widely known as a tool for digitalization of a product, but there is no common definition concerning this term. This article discusses the definition and utilization of digital twin. Areas of use, it’s implementation in the product lifecycle and most importantly it’s benefits. The lack of a standardized concept of a digital  twin leads to a misunderstanding between mathematical models and digital twin. Several definitions of digital twin were analyzed and compared with the definition of mathematical model and simulation modelling. The basic concept of areas of use for digital twin is introduced. The differences and similarities between the two definitions were found. The article aims first of all to help the management of digital twins in practical application. Keywords: Digital twin, Mathematical modelling, Mathematical model, Lifecycle of a product, Simulation modelling, Practical use of digital twin, Difference between the digital twin and mathematical model, Simulation.


Author(s):  
Николай Калиниченко

В статье раскрывается значение термина «семиотика» и даётся научное определение семиотике как науке, с её характерными целями и задачами; рассматривается вклад основных представителей данного направления в развитие семиологии как науки. К ним относятся: швейцарский ученый, стоявший у истоков Женевской лингвистической школы, заложивший основы семиологии и структурной лингвистики, - Фердинанд де Соссюр; американский философ, сформулировавший термин «прагматика», - Чарльз Уильям Моррис; основоположник семиотики и прагматизма, математик и логик Чарльз Сандерс Пирс. На основе рассмотренных понятий анализируются избранные произведения известного итальянского писателя и ученого, внёсшего весомый вклад как в область теоретического, так и практического применения научного инструментария семиотики как методологии, - Умберто Эко. На примере эссе «Шесть прогулок в литературных лесах» подробно исследована структура всего произведения, характерный для него тип повествования и позиция, которую занимает сам автор. The article reveals the meaning of the term «semiotics» and gives a scientific definition of semiotics as a science, with its characteristic goals and objectives; the contribution of the main representatives of this direction to the development of semiology as a science is considered. These include: the Swiss scientist who was at the origins of the Geneva Linguistic School, who laid the foundations of semiology and structural linguistics - Ferdinand de Saussure; the American philosopher who formulated the term «pragmatics» - Charles William Morris; the founder of semiotics and pragmatism, mathematician and logician Charles Sanders Pierce. On the basis of the considered concepts, the selected works of the famous Italian writer and scientist, who made a significant contribution to both the theoretical and practical application of the scientific tools of semiotics as a methodology, Umberto Eco, are analyzed. Using the example of the essay «Six Walks in the Literary Woods», the structure of the en-tire work, the type of narrative characteristic of it, and the position taken by the author himself are studied in detail.


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