Ekaterina Guryeva | FIRST TOPIC: Combinations and Permutations in DNA- 4 simple building blocks, infinite possibilities Exploring how everything’s genetic makeup is composed of just 4 letters, yet the possibilities for variation within even one species is nearly infinite. I would talk about how 4 things can be arrange numerous ways, in numerous patterns |
Ekaterina Guryeva | TOPIC 2: Using optimization in a real life scenario I will take a (yet to be identified) problem to do with the use of resources, and use mathematics to explore how they can be maximized for (ex.) building infrastructure, or things essential for communities (I would pick one specific one and really develop it) |
Ekaterina Guryeva | TOPIC 3: Differentiation and Integration with acceleration/velocity Explore the effectiveness of a transport system or roads in a city based on the average velocity of cars/bicycles/pedestrians and thus how much space needs to be allocated to each. This would use more than just calculus, but other areas of math to figure out population size, traffic concentration, etc. (many other smaller details to take into account and take an average from later) |
Vlado Pehar | Design of a Roller Coaster |
Petar Pirizović | Tower of Hanoi, how to solve the game in the most easy way. |
Dua Shamsi | The Navier–Stokes Equations |
Sashka | Application of trigonometry in astronomical science |
Matthew Leong | The mathematics behind ants. Ants whether structurally or intellectually use mathematics to build bridges, carry heavy materials or navigate. - finding one’s way home. |
Lilly Flawn | Exploring the development and use of of a sextant for celestial navigation. |
Margarita Parsamyan | Music and Trigonometry. |
Ahmet Kerem Sarıkaya | Mathematical models of swarm behavior (flocking, schooling, shoaling, etc.) of animals |
Nana Gogitidze | I want to show mathematically why Barbie's (dolls) body measurements are unrealistic and how dangerous is it to have same proportions for a real human. Also, I want to look at the proportions in sculptures and probably compare them to the Barbie's body proportions. I have not particular topic yet, but this is what I want to explore. |
Aleksandra Kasimova | Curves of constant width (applications) |
Violetta Karpenko | Embroidery: the mathematical symmetry of the patterns |
Cedric Solms | Envelope theorem in Microeconomics |
Giulia Ceccarini | How many more kitschy photos will be taken of people holding the Tower of Pisa up? |
Anurag Solanki | Bernoulli principle: Modelling the behavior of the fluid according to their pipe dimensions and varying density in the event of projection. |
Shayan Dehgani | Genetics: To look at the mathematics behind genetics and natural selection on specific example |
Niloufar Javadi | the mathematics behind a tennis game, particularly the application of geometry and calculus in regular shots and the serve. |
Pedro del Rosal | Superelevation/cant. Applications to civil engineering. |
Yana Miakshyla | Maths in Bach's music: harmony and logarithms... |
Mariam | How gambling houses use mathematics to manipulate people? |
Artem Khan | Model of distribution and spread of genetic diseases within a population |
Hermon Werede | Statistics to win penalty shoot-outs - methods |
Armen Ter-Minasyan | Batman and Superman mathematics |
Anastasiia Osipova | Calculation of ring dye laser angle for the kidney salivary stones extraction. |
Ricardo Aguilar | crypthography/combinatronics. Exploring the enigma machine. |
Mikhail Zamskoy | using the bivariate income distribution for assessing inequality and poverty in Armenia, and possibility of improvement |
Ofelya | Understanding rainbow with the help of mathematics. |
Davyd Shyroian | Mathematical algorythms used in programming in the sphere of dynamics using sequencies and series and their applications in real life situations. |
Reka Baan | https://mathspig.wordpress.com/2012/02/01/formula-one-car-designers-need-maths/ How the designers use maths to make faster the Formula 1 cars, and which type of calculations they have to use to make the car the best as possible. |
Hset Hset Naing | How is the "Ant on a rubber rope" paradox possible? An ant starts to crawl along a taut rubber rope 1 km long at a speed of 1 cm per second (relative to the rubber it is crawling on). At the same time, the rope starts to stretch uniformly by 1 km per second, so that after 1 second it is 2 km long, after 2 seconds it is 3 km long, etc. Will the ant ever reach the end of the rope? (https://www.quora.com/How-is-the-Ant-on-a-rubber-rope-paradox-possible) |
Clara | The mechanism behind Dolphin Echolocation |
Bora Alper | Pathfinding algorithms |
Thawdar Zin | the beauty of mathematics: fractals |
Idomu Itoh | My topic is the expected value of gacha. Gacha is similar to a prize vending machine at a carnival. You pay a small amount of money to receive an item at random. On this topic, I devote myself to calculate the expected value of gacha to complete a specific number of items n. The conclusion should be to complete all items how much money we should pay as expected value's of view supposing that doing one gacha costs $1. |
Matyáš Jirát | I would explore question of the number 12345679 multiplied by some number from 1-99. |
LiAnxi | Trigonometry and Geometry Modelling How the daylight relate to time and location on global? How this may affect practical application in architecture design? |
Nay Htet | How much possibility is there to win a tic tac toe game? |
Lea Hohl | The maths behind tomography, including the killer sudoku and some calculus to calculate a wave intensity. |
Ethan Berner | The goal is to explore the math behind overbooking flights; I want to investigate - with the help of a very concrete example: my own flight back to Austria (knowing the plane type makes it possible to have actual numbers and researching the no-show rate for this very flight rout makes the probability more realistic) - the math behind airplane overbooking. Given that it is an Airbus A321 with 188 seats, how many of them should the airline overbook in order to maximize profit? Inspiration and help may come from the following websites but is not restricted to them: http://mathemathinking.blogspot.am/2013/05/the-math-behind-overbooking-flights.html http://mathcentral.uregina.ca/QQ/database/QQ.09.07/h/don3.html |
Can Altunkaynak | Calculating the daylight timing using sinusoidals |
Emma Neibig | Looking into how different voting systems represent and the impact of a single vote on the outcome. Comparing first past the post and proportional representation. |
Monique Santoso | The preliminary topic for my mathematical exploration is how airplanes use flight routes to maximize their profits. Here, I plan to explore what the shortest route that Indonesia's national airlines take in order to maximize their profits to different destinations. Guiding questions: 1. The amount of fuel that it uses to fly from one airport to another is proportional to the square of the velocity of the plane. How fast should the plane go to maximize profits? 2. Some planes also choose to go a longer distance to avoid certain parts of the globe. What effect will this show on the profits earned and how can this be calculated? 3. It is found that certain air companies pick the shortest plane route to increase profits. However, by how much do their profits increase even when they take a different path? |
Leen Jardat | Music and algebra - tuning |
Eliza | Hexaflexagons and origami, Mathematics behind this two |
Georgiana Illsley | Use of mathematics in sculptures by John Edmark |
Abraham Al-Shamsie | Mathematics of GPS (global positioning system) |
Isabelle Kuziel | fractal dimensions and what they actually mean |