Browse 84 real Mathematics projects entered in 2018, with abstracts, awards and links to the original entries.
CSEF · 2018
Mathematical Sciences Honorable_mention Award
Objectives/Goals The goal of this project was to create a highly-accurate, automated detection platform that would be able to predict breast cancer by classifying histology slides from biops…
ISEF · 2018
Mathematics
In recent years, with the rising popularity of soccer games in China, fans violence has also increased dramatically. Overexcited soccer fans have physical confrontations with opposition supp…
ISEF · 2018
Mathematics First Award
This paper presents the solution to the open problem of the fine classification of second minimal odd periodic orbits of continuous endomorphisms on the real line. It is rigorously proven th…
CSEF · 2018
Mathematical Sciences
Objectives/Goals The objective and goal of my science project was to test if the Boston Marathon Qualifying Standards are accurate for both male and female participants of all ages. The ques…
CSEF · 2018
Mathematical Sciences
Objectives/Goals Analyze the ability of a 2D Convolutional Neural Network to learn random 3D objects as obstacles by training it with fixed set of 3D objects of varying color and orientation…
ISEF · 2018
Mathematics
The exploration of Egyptian Fractions is part of the field of pure mathematics, Number Theory. First used by the Egyptians to express fractions with 2 in the numerator or 10 in the denominat…
AJAS · 2018
Mathematics (inferred)
This project innovates the Ulam Spiral and Klauber Triangle figures through the use of their integer orientation in pentagons. These four figures will be analyzed for geometric alignments ba…
ISEF · 2018
Mathematics
Let G=(Z_2)^k. That is, the set of k-dimensional vectors with binary components. We say that a subset of G (call this A) is a 'Sidon Set' if all pairwise sums, a_i+a_j (i<j) in A, are distin…
ISEF · 2018
Mathematics Fourth Award
Learning from classified and unclassified data is generally categorized as semi-supervised learning (SSL). Traditional, graph-based SSL (GBSSL) algorithms operate by designing a relatively s…
ISEF · 2018
Mathematics
The purpose of this project is to develop a cipher (encryption algorithm) and cryptosystem that is both practical and provably secure. First, I investigate the relationship between continued…
ISEF · 2018
Mathematics
The Diophantine equation Ax^2+By^2+Cz^2=0 is named for Adrien-Marie Legendre, who found in 1785 a necessary and sufficient condition for the existence of non-trivial integer solutions to thi…
CSEF · 2018
Mathematical Sciences
Objectives/Goals The purpose of this project was to determine if a state-of-the-art generative adversarial network (GAN) could be used in conjunction with a convolutional neural network (CNN…
ISEF · 2018
Mathematics
In the completion of a big festival that involves many people, the number of participants will be announced. There could be up to 5 times differences in estimation, Therefore in this study,…
ISEF · 2018
Mathematics Fourth Award
In this project, we aim to prove certain properties about a particular function c(n) = b_nr(n). This is where b_n is a Boolean function with b_n being 1 if n = x^2 + y^2 for some integers x…
CSEF · 2018
Mathematical Sciences Second Award
Objectives/Goals In this project, we aim to prove certain properties about a particular function c(n) = b_nr(n). This is where b_n is a Boolean function with b_n being 1 if n = x^2 + y^2 for…
CSEF · 2018
Mathematical Sciences
Objectives/Goals Autistic Spectrum Disorder (ASD) is a neurodevelopment disorder characterized by impaired communication, cognitive, and social skills and abilities. Existing screening tools…
CSEF · 2018
Mathematical Sciences Honorable_mention Award
Objectives/Goals Can machines create art? Can a computer write meaningful poetry? The goal of this project is to develop a software system that automatically generates poetry (in English) wi…
ISEF · 2018
Mathematics Second Award
The mathematical field of algebraic topology studies the association of algebraic data to topological spaces, which are generalizations of geometric shapes. Since its creation in the early 2…
ISEF · 2018
Mathematics Third Award
My work is devoted to studying the combinatorics of 216 maximal C3 circular codes - a special sets of words. Circularity means, that every new word, formed from the elements of this set and…
ISEF · 2018
Mathematics
Graph connectivity is a critical concept for a variety of applications in both pure and applied math. Identifying the connectivity of the graphs underlying neural networks, for example, woul…
CSEF · 2018
Mathematical Sciences
Objectives/Goals Pathfinding programs are on of the most applied algorithms in present day. In my project, I will be coding four pathfinding artificial intelligence programs (A*, Uniform Cos…
CSEF · 2018
Mathematical Sciences
Objectives/Goals The objective was to create a program, called Cybian, to detect cyberbullying in social media content based on a set of algorithms to (i) classify the sender, (ii) evaluate…
ISEF · 2018
Mathematics
This project demonstrated the problem of deconstructing graphical models is polynomial time solvable, with an O(mn^r+3 + nr) algorithm. The execution was split into two parts: one involving…
CSEF · 2018
Mathematical Sciences Fourth Award
Objectives/Goals The goal of this project was to create an algorithm that could effectively maneuver an autonomous robot by analyzing the video stream from a camera. The camera, mounted on a…
CSEF · 2018
Mathematical Sciences
Objectives/Goals With the advent and availability of large quantities of data, powerful artificial intelligence models are becoming increasingly more popular for use by the general public. T…
ISEF · 2018
Mathematics
Riemann sums are a way of understanding integrals. Riemann sums have practical applications as they can be used to measure areas such as a lake easier than other methods. However, Riemann su…
ISEF · 2018
Mathematics Fourth Award
A random matrix is a matrix whose entries are given by random variables. The spectral statistics of high dimensional random matrices have shown deep connections with physics over the past ce…
CSEF · 2018
Mathematical Sciences
Objectives/Goals Alzheimer's Disease (AD) is the sixth leading cause of death in the United States. Despite its significance, there is currently no cure for the disease. The early diagnosis…
CSEF · 2018
Mathematical Sciences Third Award
Objectives/Goals Emotion recognition from voice by machine is a challenging task, but it has great potential to make empathic human-machine communications possible. In conventional approache…
ISEF · 2018
Mathematics
Our project is motivated by the following property: “For four focal radii originating equiangularly from a focus of an ellipse, the sum of their squared reciprocals is a constant.” We genera…