Browse 69 real Mathematics projects entered in 2019, with abstracts, awards and links to the original entries.
ISEF · 2019
Mathematics
Attention deficit is always a confusing disease: the exact causes of this disorder is still unclear. However, the prevalent idea is that genetics is a major factor of ADHD. Based on that ide…
ISEF · 2019
Mathematics
The purpose of this investigation is to identify patterns, if any exist, among primitive Pythagorean triples so that a triple, given an initial value, can be found. Specifically, the researc…
ISEF · 2019
Mathematics
Many functions do not have elementary antiderivatives and different analytical methods to evaluate the definite integral fail. These functions appear in fields such as biology, physics and e…
ISEF · 2019
Mathematics
One-dimensional cellular automata have been studied by looking at morphisms and properties of growth; however, no proof or demonstration has been made to explain these conjectured patterns a…
ISEF · 2019
Mathematics
Divisibility rules which are used to detect divisibility of numbers are memorable and practical rules and methods which are different for each number. A new study has been conducted to impro…
CSEF · 2019
Mathematical Sciences Second Award
Objectives Partial differential equations (PDEs) are used in physics to mathematically describe the workings of the universe. Using computers to solve these equations allows scientists and e…
CSEF · 2019
Mathematical Sciences
Objectives When the path of an object is described by the vector equation in the form of r(u,v,w...)=<f(u,v,w...),g(u,v, w...),h(u,v,w...)>, the expression ((d^n)r)/(d(p^n)), where p is a va…
ISEF · 2019
Mathematics
How is it possible to calculate the direction of the reflection of an arbitrary ray of light off of a surface existing in any number of dimensions without the use of trigonometry? This proje…
ISEF · 2019
Mathematics
The purpose of my research and project is to create a dynamical comprehensive mathematical model that represents the flow of non-Newtonian polymeric fluids through a pipe. For industries fro…
ISEF · 2019
Mathematics
A stock option is a contract that grants the right to buy or sell an underlying stock at a predetermined price. In the United States, almost 20 million stock options are sold every trading d…
ISEF · 2019
Mathematics
The purpose of the experiment entitled “Are MVPs Really the Most Valuable Players?” was to test the accuracy of the sabermetric statistic known as wins above replacement (WAR). To test its a…
ISEF · 2019
Mathematics
Bootstrap percolation, which originated from the field of statistical mechanics, is a class of monotone cellular automata describing an activation process which follows certain activation ru…
CSEF · 2019
Mathematical Sciences Honorable_mention Award
Objectives The two main goals of my project were to reliably detect invasive insects and design a platform to alert the presence of invasive bugs to farmers and to state and local agricultur…
ISEF · 2019
Mathematics
Magic squares are defined as matrices whose rows, columns, and main diagonals all add to the same number. They have existed and have been a topic of great interest since as early as 190 BCE,…
ISEF · 2019
Mathematics
This number theory project investigates identities found by multiplying together quaternions in L[x,y,z,w], the Lipschitz quaternions L adjoined with the indeterminates x, y, z, w. Recall th…
ISEF · 2019
Mathematics
Small pieces of plastic from 0.05 mm to 0.5 mm, called microplastics, pollute the ocean by congregating and moving through oceanic currents. Initial regions were defined along coasts to repr…
ISEF · 2019
Mathematics
This project focuses on a contradictory case within the Banach-Tarski paradox. The paradox outlines how any three-dimensional figure can be transformed into any other figure while only using…
ISEF · 2019
Mathematics
Naturally, silkworms construct ellipsoidal cocoons by spinning silk fibers around themselves. When we consider a cocoon in two dimensions, a cocoon has an elliptical shape which is one of th…
CSEF · 2019
Mathematical Sciences Honorable_mention Award
Objectives My project explores a genetic algorithm as a method for producing a resultant digital neural network competent at a strategy game, namely Connect Four. I quantify competency as a…
CSEF · 2019
Mathematical Sciences
Objectives The main objective of this project was to create an algorithm that could take the image of a drawn curve and find a function to model it. This objective can be broken down into th…
CSEF · 2019
Mathematical Sciences
Objectives The objective is to determine which anomaly detection method is the most accurate at classifying lightcurves of stars, and which is the most suitable for use by astrophysicists. M…
CSEF · 2019
Mathematical Sciences First Award
Objectives The objective of this project was to develop an efficient algorithm to detect pneumonia looking at a Chest Radiograph X-ray image with an emphasis on minimizing False Negatives. W…
CSEF · 2019
Mathematical Sciences Fourth Award
Objectives In his monograph "Solutio facilis problematum quorumdam geometricorum difficillimorum," the Swiss mathematician Leonhard Euler first publicized the concept of the Euler Line, whic…
CSEF · 2019
Mathematical Sciences Third Award
Objectives DBSCAN is an unsupervised learning algorithm that connects locally dense regions of data to form data clusters. This algorithm is frequently used for medical, engineering, and fin…
ISEF · 2019
Mathematics Fourth Award
I developed a new method to analyze expanding maps with indifferent fixed points. I applied this method to specifically analyze the iterations of the tangent map, proving both measure-theore…
CSEF · 2019
Mathematical Sciences First Award
Objectives Analyze the distribution of the iterations of the tangent map for most starting values, both measure- theoretically and topologically. Characterize sets of starting values whose t…
CSEF · 2019
Mathematical Sciences Honorable_mention Award
Objectives Identifying high-centrality nodes in large networks can be computationally inefficient, given that the most efficient exact algorithm runs in O(MN) time. A number of randomized ap…
ISEF · 2019
Mathematics
This paper shows a thorough examination of fully homomorphic encryption schemes and their performance in programs. We do an analysis of one specific, widely-used scheme – the Gentry-Sahai-Wa…
CSEF · 2019
Mathematical Sciences
Objectives Testing 3D point cloud neural networks to see if they are susceptible to adversarial attacks like previous results on 2D images, proposing new algorithms for both attacking and de…
ISEF · 2019
Mathematics Third Award
This project is motivated by studying Chebyshev polynomials such as cos?(mx) is a polynomial of cos?(x). It is interesting to know if there are other non-constant continuous functions f havi…