Аналіз нових обчислювальних властивостей паралельно-ієрархічного перетворення інформаційних середовищ та їх комп'ютерне моделювання

В проведених дослідженнях здійснено аналіз існуючих та виявлення нових обчислювальних властивостей паралельно-ієрархічного перетворення інформаційних середовищ. На основі проведених досліджень розроблено програмне середовище, призначене для моделювання процесу кодування інформаційних масивів методом прямого паралельно-ієрархічного перетворення без масок.В проведенных исследованиях осуществлен анализ существующих и определение новые вычислительные свойств параллельно-иерархического преобразования информационных сред. На базе проведенных исследований разработана программная среда, предназначенная для моделирования процесса кодирования информационных массивов методом прямого параллельноиерархического преобразования без масок.The analysis of current and identification of new computing features of parallel-hierarchical transformation of information environments is carry out in researches. The software environment intended for modeling of coding process of information collections by the method of direct parallel-hierarchical transformation without masks is developed on the base of scientific researches

My Year of Memory and Mathematics

I relive one stream of my state of mind over the pandemic year of 2020

Peter Hilton en passant

This is a decades-long tale of my glancing friendship with distinguished mathematician and mathematics educator Peter Hilton and his constant collaborator Jean Pedersen. Peter’s wit, compassion, and support are in full display, though in truth I knew him only “in passing.

My Last Fermat’s Last Theorem Talk

From the dangerous snowfall preceding and nearly ending it, to the pleasant years-long fallout afterward, I tell the story of the events surrounding my final presentation of an expository talk on Fermat’s Last Theorem in the same year but months before Andrew Wiles announced his proof

Accidental World Teacher

When the College Algebra and Calculus I video courses I created were posted on my university’s YouTube channel in 2009, I suddenly began to receive dozens of heartfelt emails from students around the world thanking me. Here I tell the story of the creation of those videos and sample the effect they seem to have had over the last decade, as I accidentally became a teacher available to the entire planet

Construction and demolition waste management : assessment of demand and supply of recycled materials in the Western Cape

Includes bibliographical references (leaves 96-100).Concern for environmental degradation has been a motivating factor in the efforts to reuse or recycle construction and demolition waste. The intention is not only to reduce environmental desecration, but also to recycle the construction and demolition waste into potential building materials to be reused elsewhere. This study investigated the supply and demand of recycled construction materials in the Western Cape, and aimed to determine the perception held by important stakeholders about these materials. A qualitative analysis of the case study results revealed that poor waste management plans implemented on construction and demolition sites have affected the quality, supply and price of recycled materials. In addition to this it was also revealed that the negative perceptions regarding recycled materials were the major barriers to creating an established secondary market. Inadequate knowledge and experience were major contributors to resistance to change of perceptions. A case study was conducted on Malans Quarries Recyclers in order to determine the supply of raw materials (construction and demolition waste) reaching the recycling plant; the supply of recycled materials to the end user (consumer); and the recycling process that takes place. A sample of fifteen respondents from a variety of large, medium and small construction contractors, as well as consultants and civil engineering companies, completed a questionnaire to determine the demand for and perceptions about these materials. The qualitative analysis of the results of the questionnaires showed that the majority of respondents still preferred to use primary materials over recycled materials. However, it appears that the gap between respondents who prefer to use primary materials, and those who utilize recycled materials, has narrowed in comparison to results obtained in previous studies. It seems that there may be more usage of recycled materials in the future. The results also revealed that tax cuts, could be a good economic incentive to encourage the use of recycled material. The questionnaire results also revealed that the majority of the respondents believed that landfill taxes where not effective in discouraging the illegal dumping of waste, and that the lack advertisements, and difficulties in obtaining recycled materials played a crucial role in the under-use of recycled materials

Badass Women

In this true story, one mathematics major supports another in an unexpected way

Out of the Vacuum: A Hidden Assumption

In writing a proof, a student surprises her sense of reality and logic

Figure-Ground Perception: A Poem Proof

This is a proof, in poetic form, of a bit of real analysis, more specifically involving the topology of accumulation points, that exploits the human optical phenomenon of figure-ground perception. Sometimes it is not a change in content, but a snap shift in point of view that yields a proof