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Probabilistic Reasoning Over Time
Probabilistic Reasoning Over Time
A paper on my solution to a robot navigation problem.
Jack Terwilliger
Newton's Method Cycles
Newton's Method Cycles
Based on the paper Sometimes Newton's Method Cycles, we first asked ourselves if there were any Newtonian Method Cycle functions which have non-trivial guesses. We encountered a way to create functions that cycle between a set number of points with any initial, non-trivial guesses when Newton's Method is applied. We exercised these possibilities through the methods of 2-cycles, 3-cycles and 4-cycles. We then generalized these cycles into k-cycles. After generalizing Newton's Method, we found the conditions that skew the cycles into a spiral pattern which will either converge, diverge or become a near-cycle. Once we obtained all this information, we explored additional questions that rose up from our initial exploration of Newton's Method.
Edgara Vanoye & MacKay Martin
Júlia Machado Moretto's CV
Júlia Machado Moretto's CV
Júlia Machado Moretto's CV
juliamacmor
Modeling spatial inhomogeneities in solar cells (MSc Thesis)
Modeling spatial inhomogeneities in solar cells (MSc Thesis)
Microscopic spatial defects (inhomogeneities) in solar cells have a detrimental impact on the overall performance of the solar cells. These defects can be due to the polycrystalline nature of the photovoltaic absorber (general case) or on the other hand, the characterization method itself can induce such inhomogeneities (ex: local excitation with confocal system). Photoluminescence imaging in particular is the most attractive type of experimental character- ization technique which has been studied by many research groups. Since it is contactless, it allows a complete analysis of the photovoltaic material and it can actually be performed at each step of the solar cell fabrication process. To properly analyze the recorded images, one has to model the transport properties. In this work we model the transport properties in 2D using both a numerical and analytic approach. First,we model the global illumination of the sample, we then analyze the effects of grains and surface recombination. Second, we study lateral transport that can be influenced by recombination at the surface (passivation issues), grain boundaries (polycrystalline cells) or local artifacts (shunts, defects...). At the same time we are able to extract the lifetime knowing the generation rate and solving the excess carrier density from our model. And finally we implement our model to extract some cell parameters like the diffusion length from experimental data through data fitting.
kaaya ismail
anatom\'ia de los pneumatocistos
anatom\'ia de los pneumatocistos
reporte de anatomia de los pneumatocistos
Ismarai Valdez Arellano
Drie technieken voor visuele cryptografie
Drie technieken voor visuele cryptografie
cryptografische systemen zijn gebaseerd op stellingen uit de getaltheorie. Versleuteling en ontsleutelingen van berichten vragen vaak intensief computerrekenwerk. Bij visuele cryptografie wordt het rekenwerk echter tot een minimum beperkt. Ook hoeft de ontwerper van deze geheimcodes bijna geen gebruik te maken van wiskundige stellingen en eigenschappen. De ontsleuteling van een boodschap kan zelfs gebeuren zonder digitale hulpmiddelen: schuif twee transparanten met onherkenbare afbeeldingen over elkaar en kijk doorheen deze transparanten naar de ontsleutelde boodschap. In dit verslag worden drie technieken voor visuele cryptografie toegellicht. Voor de eerste techniek is er wel wat wiskundige achtergrondkennis nodig. De tweede en derde techniek zijn vlot uitvoerbaar zonder deze achtergrond.
Van den Broeck Luc