Mathematics
Problems involving arithmetic progressions are of interest in number theory, combinatorics, and computer science, from both theoretical and applied points of view. In 2004, Ben Green and Ter…
Mathematical Sciences
Objectives/Goals The purpose of my science experiment is to find out what type of password is the strongest. The reason why I am doing this project is because these days you use passwords on…
Mathematics
The study depicts the mapping of the triangle on the cylindrical surface, i.e. the cylindrical deformation of the triangle. The described mapping is characterized by a curious geometric prop…
Mathematics
Egyptian Fractions can be defined as the series of distinct unit fractions that can be summed to equal a proper fraction. Any fraction can be expressed in this way, and the Egyptians had a m…
Mathematical Sciences
Objectives/Goals Annually, 7 million patients suffer surgical complications, many of which are linked to inadequate surgical training and a lack of individualized feedback on how to improve…
Mathematics
Objective: To create a mathematical model which, when applied to a Major League Baseball hitter’s pitch-by-pitch data and a pitcher’s pitch selection, returns the optimal pitch selection giv…
Mathematical Sciences
Objectives/Goals On-Campus crime is a leading issue in US Colleges, a serious concern for parents and a difficult challenge for the college authorities. US Department of Education captures d…
Mathematics
Second Award
In this project, Ricci flow and normalized Ricci flow were studied in a discrete 3-dimensional setting, where the manifold of interest is the boundary of a 4-simplex. This manifold is the di…
Mathematical Sciences
First Award
Objectives/Goals In this project, we prove certain properties about the Rado Graph. In order to do that, we first consider a simpler case of the graph, a modified version, and prove that it'…
Mathematics
Third Award
Purpose: Given a prime p and polynomial f, how many pairs (x,y) are there such that y^a-x^b*f(x) is a multiple of p? Equivalently, how many rational points lie on a superelliptic curve? Answ…
Mathematical Sciences
Honorable_mention Award
Objectives/Goals The goal of this research is to develop an algorithm that can analyze and accurately recognize the speaker's emotion from human speech using machine learning. This is not on…
Mathematics
Our purpose is to produce high security encryption algorithms by using the irregularity of decimal expansions. Different from other methods, we make use of the irregularity of irrational num…
Mathematical Sciences
Second Award
Objectives/Goals Determine if processes of natural selection can be applied to non-biological or simulated entities to produce nearly optimal solutions to a variety of computationally hard p…
Mathematical Sciences
Second Award
Objectives/Goals The combinatorial solution to the recurrence relation a_{n} =a_{n-1} +a_{n-3} +a_{n-4} leads to the trend, a_{2n} =f_{n}^2 , where f_{n} is the n-th term in the Fibonacci se…
Mathematical Sciences
Objectives/Goals Malnutrition is prevalent issue in this world: it accounts for 58 percent of all mortality. As a result, my project aims to solve the problem of malnutrition using the metho…
Mathematics
Fourth Award
The theory of Lie groups and algebras is an important and developing part of mathematics. Lie groups and algebras occur in different areas of science such as quantum physics, mathematical ge…
Mathematics
Fourth Award
Problem of Apollonius is a famous geometric problem. Apollonius of Perga posed it in the 3d century BC. The statement of the problem: construct (by straightedge and compass) a circle that is…
Mathematics
We address n-sided dice whose face values lie between 1 and n and whose faces sum to n(n+1)/2. We tackle the problem of generating n-sided dice by developing an algorithm to generate the int…
Mathematics
While studying the Second row (the second degree equation) surfaces with the method of coordinates we have noticed that in the Canonical system while we were cutting the surface with paralle…
Mathematics
Millennium Problems are problems in mathematics that were stated by the Clay Mathematics Institute in 2000. One of these problems is related to the complexity of algorithms. The set of algor…
Mathematical Sciences
Objectives/Goals Air pollution is a concerning global issue with increasing public awareness and serious health consequences. As air quality and smog levels fluctuate throughout a city withi…
Mathematics
In the modern age, public-key cryptography has become a vital component for secure online communication. To implement these cryptosystems, rapid primality testing is necessary in order to ge…
Mathematics
Faked company payments and fraudulent schemes such as Ponzi schemes steal over $3.7 trillion from innocent consumers every year, with auditing methods significantly lagging behind the increa…
Mathematical Sciences
First Award
Objectives/Goals The objective of this project was to study the statistical properties of the iterations of tan(x). Methods/Materials Laptop computer with Fortran compiler and Grace. Ran pro…
Mathematics
Fourth Award
This project takes a different approach to meteorological forecasting by investigating underlying patterns in local weather fluctuations and attempting to find a connection between these phe…
Mathematical Sciences
Objectives/Goals This project uses mathematical concepts, specifically theoretical probability, to create an optimal search model for a target. Computer programs in C++ are also used to perf…
Mathematical Sciences
Third Award
Objectives/Goals The objective is to create 2 things: 1) a low-cost lens that attaches to the back of a smartphone and allows laypeople to take a picture of the back of the eye and 2) an alg…
Mathematical Sciences
Objectives/Goals Our goal is to build an algorithm that can detect an orange disease with an accuracy of more than 90% and have a processing time of less than 10 seconds per tree. The soluti…
Mathematics
Third Award
From the world wide web to social networks, big data often take the form of graphs. It is important to be able to generate realistic random graphs in order to analyze the properties of real…
Mathematical Sciences
Objectives/Goals The objective of this experiment was to apply artificial neural networks (ANN) to the prediction of river gauge height two days in the future at a specific station in order…