Mathematics & Software
Objectives/Goals My objective was to learn how to more quickly compute the number of quadratic residues modulo semiprimes. This was because I proved last year that the number of quadratic re…
Mathematics & Software
Fourth Award
Objectives/Goals The objective of the project was to derive a closed form formula for the A-th element of a N-Nacci recursive sequence using the residue theorem from complex analysis. Method…
Mathematics & Software
Objectives/Goals This research seeks to examine the characteristics and traits of shapes of unvarying heights regardless the orientation. Through simple proofs using geometric/trigonometric…
Mathematics & Software
Honorable_mention Award
Objectives/Goals The objective of this project is to derive a mathematical model for describing multi-substrate enzyme kinetics, particularly focusing on the harmful degradation of the tumor…
Mathematics & Software
Objectives/Goals The goal of this project is to create a software program, usable by non-programmers, for recording continuous streams of data from sensors. The data logger is physically an…
Mathematics & Software
Third Award
Objectives/Goals Do you ever give a second thought to the fact that every time you use WiFi you could be sending your passwords not to the Internet, but to a hacker? My hypothesis is that if…
Mathematics & Software
Objectives/Goals The purpose of this project was to determine if there existed a superior algorithm for counting cells using image processing. With image processing, images of cells that usu…
Mathematics & Software
Objectives/Goals To develop a new algorithm that will more effectively rank web pages so that a search engine can return more meaningful results, especially for specific queries. Methods/Mat…
Mathematics & Software
Objectives/Goals Individuals and companies in today#s world are inundated with a flood of data. The issue of information overload has made it exceedingly difficult to function efficiently as…
Mathematics & Software
Second Award
Objectives/Goals The goal of this project is to create a program that can create new music through analysis of existing music using a computer. The objective of this project is to demonstrat…
Mathematics & Software
Honorable_mention Award
Objectives/Goals The goal of this project is to create a computer program that plays a relatively strong game of chess using programming techniques used by the top engines in use today. Meth…
Mathematics & Software
Objectives/Goals In a multi-speaker voice chat or online conference, it can be very difficult to differentiate between speakers; by using a sound localization engine, our project aims to cre…
Mathematics & Software
Objectives/Goals My objective was to make a robot drive autonomously at a constant velocity, regardless of incline. To achieve this, I compared two different approaches to velocity control:…
Mathematics & Software
Fourth Award
Objectives/Goals As technology plays a greater role in many aspects of critical safety, the fast response to computer generated emergency signals can save lives and prevent disasters. Many s…
Mathematics & Software
Objectives/Goals I received a camera for the holidays. I love film and photography. After examining some photography I came up with the idea of finding the height of an object in a photograp…
Mathematics & Software
Objectives/Goals The objective is to determine an algorithmically efficient closed-sum formula for the combinatorial sum nC0 + nCc + nC(2c) + nC(3c) + ... Methods/Materials Following a compi…
Mathematics & Software
Objectives/Goals My goal was to improve performance of hybrid iOS apps, which are combinations of both native app code (objective-c) and web code (html5/css3). Methods/Materials Using my lap…
Mathematics & Software
First Award
Objectives/Goals The homotopy groups of a topological space are commonly studied as a topological invariant which gives information about the space's holes, homotopy type, and connectedness.…
Mathematics & Software
Second Award
Objectives/Goals To create a mathematical model of a beating heart that combines mechanical contraction with electrical excitation. Methods/Materials I developed a novel method for combining…
Mathematics & Software
Objectives/Goals The objective is to compare and contrast the first five postulates of Euclid in elliptic geometry , hyperbolic geometry and Euclidean geometry and measure the Gaussian curva…
Mathematics & Software
Objectives/Goals Design and develop an intuitive, function-based graphing calculator app for iOS. Methods/Materials I planned the app's features, then sketched and drew wireframes for each s…
Mathematics & Software
Objectives/Goals The purpose of my project was to design and develop a software program to identify the locations of CpG islands in a DNA sequence. Hidden Markov Model (HMM) is the most popu…
Mathematics & Software
Third Award
Objectives/Goals The main aim of this research is to develop new, more effective methods of Artificial Intelligence and Fuzzy Logic Techniques and integrate them with biomedical imagery and…
Mathematics & Software
Objectives/Goals The objective to my project is to estimate pi by randomly dropping needles on a flat plane with parallel lines by using the probability that it crosses the line and find the…
Mathematics & Software
Honorable_mention Award
Objectives/Goals The best way to memorize information is by using a learning method called space repetition. This method is implemented via flashcard-based systems. The most popular algorith…
Mathematics & Software
Objectives/Goals The purpose of this engineering project is to design an end-to-end system to enable multi-week tissue culture experiments. Such experiments are not possible using traditiona…
Mathematics & Software
Honorable_mention Award
Objectives/Goals My goal is to create a spell-corrector using Python that corrects words with greater than 90% accuracy and that minimizes the time necessary to correct each word. Methods/Ma…
Mathematics & Software
Objectives/Goals The project aims to create an accurate iterative computer model of the growth and vascularization of a tumor that projects the radius, volume, number of cells, and volume of…
Mathematics & Software
Objectives/Goals Although there are many well-known sets of intransitive dice, there are very few published methods for generating these sets, and very little published work that explains wh…
Mathematics & Software
Objectives/Goals Travel time is a crucial factor for the California high speed rail (HSR) project to be successful. It must be significantly faster than car, and comparable to air travel tim…