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Het kaartspel SET, dat gespeeld wordt met 81 kaarten waarop verschillende geometrische afbeeldingen staan, werd in het begin van de jaren '90 populair en heeft sindsdien ook de belangstelling van wiskundigen gewekt. In dit artikel modelleren we het kaartspel aan de hand van een vierdimensionale vectorruimte over het veld 𝔽3. Deze vectorruimte kunnen we interpreteren als meetkundige ruimte met een eindig aantal punten. Via deze interpretatie worden drie kaarten uit het kaartspel die een set vormen voorgesteld door drie collineaire punten. We proberen in dit artikel een bewijs te geven van de stelling dat de kleinste verzameling van speelkaarten die altijd minstens één set bevat, bestaat uit 21 kaarten. De berekeningen steunen aanvankelijk alleen op combinatorische tellingen en op het duivenhokprincipe. In de laatste bewijzen van dit artikel maken we ook gebruikt van de methode van de dubbele telling.

Teaching and Research Statement example written for 2015 faculty search season.

Principal Components Analysis (PCA) and Canonical Correlation Analysis (CCA) are among the methods used in Multivariate Data Analysis. PCA is concerned with explaining the variance-covariance structure of a set of variables through a few linear combinations of these variables. Its general objectives are data reduction and interpretation. CCA seeks to identify and quantify the associations between two sets of variables i.e Pulp fibres and Paper variables.PCA shows that the first PC already exceeds 90% of the total variability. According to the proportion of variability explained by each canonical variable , the results suggest that the first two canonical correlations seem to be sufficient to explain the structure between Pulp and Paper characteristics with 98.86%. Despite the fact that the first the two canonical variables keep 98% of common variability, 78% was kept in the pulp fiber set and about 94% of the paper set as a whole. In the proportion of opposite canonical variable,there were approximately 64% for the paper set of variables and 78% for the pulp fiber set of variables kept for the two respectively.

Indoor air quality (IAQ) is referred to as “the air quality within and around buildings and structures, especially as it relates to the health and comfort of building occupants” (US EPA, 2015). Indoor pollutant levels further determine the quality of indoor air, and one of the indicators used to measure IAQ is carbon dioxide (CO2). Drawing on data collected from a classroom, auditorium, and gym setting in the Mount Royal University campus, the aim of this report is to determine if CO2 levels present are within established margins substantial to result in adverse health effects. Environmental factors that are considered in this report include: room size, supply air, and occupant load in the specified spaces on the campus. The results of this study suggest that there are a myriad of factors that may affect IAQ and that CO2 is merely an indicator of poor air quality. Overall, peak indoor CO2 levels can further be used to determine appropriate ventilation rates in an indoor space.

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Math 206 homework

Michał Kwiecień's CV. Created with the moderncv template.

Trabalhos Gráficos para a IP Acesita

With the emergence of systems archiving and distribution of PACS medical imaging, also emerged the need to store those images off-site environment, this project aims to study this need, trying to offer a service within an information infrastructure that can integrate the environment site with a remote environment, a transparent and heterogeneous, taking account of the needs of users of teleradiology. Keywords: PACS, teleradiology, Medical Imaging, Archiving.
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