Journal Pre-proof 1 such as ventilators in limited supply, preparations should be made ahead of time on how to allocate these finite resources. More information about COVID-19 can be found in [2], [3], and [7]. The best course of action to "flatten the curve" is to follow WHO guidelines. The best way to keep hospitals under capacity is social distancing: limiting or cancelling large gatherings, only travelling when necessary, and keeping a distance from others all help to prevent the spread.
Heuristic predictionThe presented heuristic is based on the exponential growth of the data collected Journal Pre-proof J o u r n a l P r e -p r o o f 4 WWK, MAM, WP, AW-D, PFZ, DS, TA, AHZ, MD, AND JM by WHO situation reports for days 31 to 57. As pointed out in [4] the predictability could be improved by pairwise comparisons based on abductive reasoning [5]. Abduction is frequently used in diagnostic expert systems. The abductive reasoning (or inference) process was used for this study. It is a type of logical inference which starts with a set of observations and then searches for Journal Pre-proof J o u r n a l P r e -p r o o f 1,000,000 COVID-19 CASES
In this study, we provide mathematical and practice-driven justification for using [0, 1] normalization of inconsistency indicators in pairwise comparisons. The need for normalization, as well as problems with the lack of normalization, are presented. A new type of paradox of infinity is described.
Areas of experience allow for the acquisition and consolidation of both existing knowledge and skills. These are significant factors in the training of staff members for companies in the Industry 4.0 area. One of the currently available modern tools used in the teaching process is virtual reality (VR) technology. This technology, due to its high level of immersion and involvement of the different senses, and the need to focus on the performed activities, allows one to develop skills in solving various tasks and problems. The extended VR environment enables the creation of diverse teaching scenarios adapted to the needs of industry. This paper presents the possibility of building training scenarios in the field of digital techniques. The software solution, developed and presented by the authors, uses elements of computer game mechanics and is designed to familiarize students with the idea of digital circuits, their construction, logical implementation and application. This paper also presents a comparison of the features of different forms of education used in teaching digital techniques, as well as a comparison of these forms, from the point of view of the student and his/her perceptions.
Rating scales are used to elicit data about qualitative entities (e.g., research collaboration). This study presents an innovative method for reducing the number of rating scale items without the predictability loss. The “area under the receiver operator curve method” (AUC ROC) is used. The presented method has reduced the number of rating scale items (variables) to 28.57% (from 21 to 6) making over 70% of collected data unnecessary. Results have been verified by two methods of analysis: Graded Response Model (GRM) and Confirmatory Factor Analysis (CFA). GRM revealed that the new method differentiates observations of high and middle scores. CFA proved that the reliability of the rating scale has not deteriorated by the scale item reduction. Both statistical analysis evidenced usefulness of the AUC ROC reduction method.
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