Browse 94 real Mathematics projects entered in 2017, with abstracts, awards and links to the original entries.
ISEF · 2017
Mathematics Fourth Award
The chromatic number of the n-dimensional Euclidean space is the minimum number of colors with which the entire space can be colored so that every two points one unit apart have different co…
ISEF · 2017
Mathematics
Capillary floating problem in physics concerns the equilibrium positions of floating bodies whose positions and orientations are governed by capillary forces. It plays an important role in m…
CSEF · 2017
Mathematical Sciences
Objectives/Goals The goal of this study was to find a better way to determine all Pythagorean Triples, and test them using computer code written using these equations. Current methods to det…
CSEF · 2017
Mathematical Sciences
Objectives/Goals The goal of this project was to use a deep learning based fully convolutional neural network (FCN) for pixel level gland segmentation of cancer images, and test the ability…
CSEF · 2017
Mathematical Sciences
Objectives/Goals In a real world situation, members of different organizations often need to travel to multiple destinations without passing through the same place twice. However, identifyin…
ISEF · 2017
Mathematics
The purpose of this paper is to introduce the reader several unusual areas of mathematics that not many people are aware of. The principles of Latin squares, projective and affine planes can…
ISEF · 2017
Mathematics
Western music is based on two concepts – Harmony, which is the simultaneous sounding of multiple notes (chords), and Voice Leading, which is the temporal motion of these notes (voices). The…
CSEF · 2017
Mathematical Sciences
Objectives/Goals The objective is to automate the scoring process for Fast Fourier Transform plots, which represent a radio signal as observed by a telescope. The algorithm calculates a scor…
CSEF · 2017
Mathematical Sciences
Objectives/Goals Lesion segmentation plays an important role in the early identification and treatment of melanoma, a deadly skin cancer. Our objective was to develop an end-to-end methodolo…
ISEF · 2017
Mathematics
A Method for Analyzing Basketball Teams started as an attempt to use statistics to analyze our team's offense. Eventually it grew into a data collection and analysis software. There are thre…
ISEF · 2017
Mathematics
The problem of points is a historical problem confronted by many mathematicians throughout history. It presents an interrupted series of games and asks the question of how the probabilities…
CSEF · 2017
Mathematical Sciences Honorable_mention Award
Objectives/Goals Find the most efficient maze-solving algorithm among three different algorithms: the #right-hand rule#, #dead reckoning#, and #dead end remembering#. Methods/Materials The p…
AJAS · 2017
Mathematics (inferred)
The purpose of this study was to develop an origami spider web pattern. Spider webs have a wide variety of shapes and sizes. This study focused on developing a design for a simplified spider…
ISEF · 2017
Mathematics
The internet’s expansion has increased the data available to researchers, allowing analysis to make insights into human behavior. This project statistically analyzes trends in computer scien…
CSEF · 2017
Mathematical Sciences
Objectives/Goals To (1) compress the existing VGG-16 Convolutional Neural Network into a smaller neural network specifically tailored to a reduced number of categories of images to decrease…
CSEF · 2017
Mathematical Sciences Fourth Award
Objectives/Goals The formation of a hairpin core structure by the HIV-1 virus transmembrane glycoprotein gp41 is the critical event that triggers viral fusion to the host cell. Fusion inhibi…
ISEF · 2017
Mathematics
The Collatz conjecture is an unproven conjecture in mathematics; any initial input to the Collatz sequence will give an eventual output of one. The importance of proving the conjecture is du…
CSEF · 2017
Mathematical Sciences
Objectives/Goals Epilepsy is a neurological disorder affecting more than 65 million people world wide. A seizure prediction system can greatly help epileptic patients to avoid potentially da…
ISEF · 2017
Mathematics
This project aims at challenging the underlying conjectures in many modern encryption systems. The problem of integer factorization, and its associated difficulty is solving, is essential to…
ISEF · 2017
Mathematics
In the futuristic dystopia, The Minority Report starring Tom Cruise, the police would be at the crime scene before it occurred. Is this really possible? My project uses data science and mach…
ISEF · 2017
Mathematics
Patients with end-stage renal disease may receive a kidney transplant from a deceased or living donor. However, kidney transplants are time-sensitive and not all kidneys have the same expect…
ISEF · 2017
Mathematics
The method exposes an approximation of the zeros of any differentiable function. The functions in which the method is fulfilled are the logarithmic, exponential, algebraic, and trigonometric…
CSEF · 2017
Mathematical Sciences
Objectives/Goals Artificial neural networks suffer from a phenomenon known as "catastrophic forgetting", which prevents artificial intelligence agents from learning multiple tasks. This proj…
CSEF · 2017
Mathematical Sciences
Objectives/Goals The purpose of this project was to determine if a state-of-the-art convolutional neural network image recognition algorithm could be developed to detect diabetic retinopathy…
CSEF · 2017
Mathematical Sciences
Objectives/Goals The survival rate of children with Rhabdomyosarcoma (RMS) cancer is under 30%. Among other challenges, existing research does not accurately classify between the subtypes of…
ISEF · 2017
Mathematics
This project investigates the phenomena modeled by Benford’s law. Our experimentation aims to observe the credibility of Benford’s law at multiple sample sizes, by testing the use of it with…
ISEF · 2017
Mathematics
North Dakota has experienced population changes in the past decades from oil production as well as Red Fiver floods of 1997 and 2011, Minot flood of 2009 and a small oil boom in the early 19…
ISEF · 2017
Mathematics
In the current research, we consider tilings with T-tetromino and stepwise n^2-omino (figures, constructed by unit squares) and their connection to chain graphs. Also, we examine tilings wit…
ISEF · 2017
Mathematics Second Award
The concept of metric dimension has applications in a variety of fields, such as chemistry, robotic navigation, and combinatorial optimization. Three bounds on the metric dimensions for diff…
CSEF · 2017
Mathematical Sciences Honorable_mention Award
Objectives/Goals Antibody therapeutics is a growing field of drugs, involving antibodies that specifically target a pathogen inside the body. Designing such high-affinity antibodies mimics o…