Method of Linear Programming as an Idea for High School Curriculum

2010 Mathematics Subject Classification: 97D40, 97M10, 97M40, 97N60, 97N80, 97R80Since the middle of the 20th century, mathematical modeling by means of optimization problems has been widespread in scientific applications. Together with the software developed, it has a real impact on practice, thus changing the ideas of society about the role of mathematics, computer science, and information technologies. The present paper is aimed to show the accessibility of some basic notions and methods of linear programming and integer linear programming to the high school students. It also gives credit to R. Kaltinska and G. Hristov [1] who around three decades ago included for a short period of time these methods into the high school mathematics curriculum in Bulgaria. Besides classical applications, here we show almost unknown in educational practices methods for solving some mathematical problems. Among the examples are recreational problems helpful for building connections between mathematics and the humanities. Free software, appropriate for the considered problems is also introduced: it can be used separately or in combination with elementary program codes

Posture, Balance and the Brain International Workshop Proceedings Posture, Balance and the Brain Creative Commons BY-NC-SA 4.0 Audio-Visual Entrainment Influence on Postural Dynamics

ABSTRACT: The influence of multimedia on modern digital users is constantly growing. The paper describes an experimental study of audio-visual (AV) entrainment towards dynamical changes of selected human biometrics. Special wearable equipment of AV stimulation and polyphysiographic postural and brain activities recordings were accomplished for entrainment effect exploration. The obtained results demonstrated evident quantitative changes in both center-ofpressure sway and EEG of the studied subjects after the entrainment session, outlined with time-frequency spectral and multifractal measures. Practical implementation of the study results is directly applicable to the rehabilitation goals and nowadays digital world people stress relaxation, together with working capacity enlargement by multimedia applications