Browse real student projects, abstracts, and awards.
ISEF · 2022
Mathematics Fourth Award
In this study, we propose a general solution to the Broken Pick-up Sticks Problem which is a variation of the well-known Broken Sticks Problem. Since its solution is unknown to the mathemati…
ISEF · 2022
Mathematics Second Award
The Closest String problem (CSP) is an NP-Complete problem which seeks to find the geometrical center of a set of input strings: given k strings of length L and a non-negative integer d, con…
ISEF · 2022
Mathematics
Lego, like many other alternative investments, increases in value over time, with some sets increasing more than gold since 2000 (Wolff-Mann, 2015). However, what makes certain sets increase…
ISEF · 2022
Mathematics
Thue and Alon has laid the foundation of non-repetitive vertex colorings for certain graphs, discovering and proving many of its theorems. In this paper we explore the problem of how many co…
ISEF · 2022
Mathematics
Tetration is a fundamental mathematical operation that follows in the sequence of addition, multiplication, and exponentiation. x^^n is defined as x to the power of itself, n times. Naturall…
ISEF · 2022
Mathematics
If arm velocity, bat exit velocity, running speed, height, and weight of the high school baseball player is tested, the likelihood of success at different types of college baseball programs…
ISEF · 2022
Mathematics
The CNMI heavily relies on tourism. With the COVID-19 pandemic, this poses a concern for the tourism industry. In this project, the stats and data regarding the amount of worldwide COVID-19…
ISEF · 2022
Mathematics
Graph theory is the study of relationships between objects. Whether those objects are city blocks or web pages, graph theory can provide significant insight into optimization. A specific are…
ISEF · 2022
Mathematics
A mathematical model was created to explore the possibilities of balancing government financial debt caused by distributing stimulus checks (ERF) through the creation of the Emergency Saving…
ISEF · 2022
Mathematics
This study modified the Susceptible-Infected-Recovered (SIR) model, taking into account the population migration and vaccine to predict the dynamics of the third wave Covid-19 outbreak. The…
ISEF · 2022
Mathematics Fourth Award
The question of the existence and uniqueness of integers is one of the oldest and most fundamental questions in mathematics. Studied by mathematicians such as Euler, Fermat, and Dedekind sin…
ISEF · 2022
Mathematics
Farey sequence F_n of order n is the sequence of all irreducible fractions between 0 and 1 with denominators no greater than n arranged in increasing order. Farey sequence has a geometric in…
ISEF · 2022
Mathematics
Matrix multiplication is the fundamental building block of machine learning. All neural networks, when being trained, use matrix multiplication. However, multiplying a significantly large nu…
ISEF · 2022
Mathematics
Together, the Pascal triangle and the Newton binomial, can predict sequences of numbers. Procedures will be performed with binomial , were the value of one of the variables will remain const…
ISEF · 2022
Mathematics Second Award
The non-trivial zeros of L-functions encode important information about primes, which are essential to both number theory and modern cryptography. The zeros near the central point, s = 1/2,…
ISEF · 2022
Mathematics
Torus knots are knots that lie on the surface of a torus. Torus knots have a wide variety of applications in quantum mechanics, molecular chemistry, and topology. In this paper, a comprehens…
ISEF · 2022
Mathematics
Given a circle of radius r centered at the origin, the Gauss Circle Problem concerns counting the number of lattice points C(r) within this circle. It is known that as r grows large, the num…
ISEF · 2022
Mathematics
In this study, a linear recurrence relation, a(n)=a(n-1)+ (a(n-1) mod m) where m is any odd positive integer, is investigated for potential applications in cryptography. The periodic sequenc…
ISEF · 2022
Mathematics
My novel method of machine learning that I utilized with cluster analysis can be done on any computer and is fast and easy to learn. My novel method investigated a genome-wide association st…
ISEF · 2022
Mathematics
The max-cut problem as part of extremal combinatorics was formulated by Paul Erdos in the 1960s. Multiple papers have been written on the topic regarding its role in mathematics as an extrem…
ISEF · 2022
Mathematics First Award
The abc-conjecture (Masser and Oesterlé) is an active problem that has remained open for several decades. The conjecture would imply a direct proof of Fermat’s Last Theorem and also shine ne…
ISEF · 2022
Mathematics Third Award
The Rubik's Cube is the most popular puzzle in the world. Two of its studied aspects are God's Number, the minimum number of turns necessary to solve any state, and the First Law of Cubology…
ISEF · 2022
Mathematics
We strengthen a result of Jones by showing that for any integer P 1, the Lucas sequence {Un} defined by U0 = 0, U1 = 1, Un = P · Un1 + Un2 can be translated by a positive integer K(P) such t…
ISEF · 2022
Mathematics Fourth Award
We begin by presenting an elementary proof of Ramanujan’s identity for odd zeta values. While Ramanujan's identity has been proved quite a few times earlier in the literature; there has been…
ISEF · 2022
Mathematics
Consider assigning students to a set of classes, and classes to a set of students. Each student will attend more than one class, and each class will have more than one student (many-to-many…
ISEF · 2022
Mathematics
Fractal geometry is geometry that describes complex things or phenomena. In this topic, the author summarizes some basic knowledge of fractal geometry, studies the interesting properties of…
ISEF · 2022
Mathematics
Batik is one of Indonesian culture heritage. Currently, the concern and interest of the young generation towards batik is decreasing, so efforts are needed to preserve and find an attractive…
ISEF · 2022
Mathematics Third Award
My research deepens connections between the two seemingly very different mathematical fields of algebraic combinatorics and algebraic geometry. In particular, I focus on the Bruhat order, a…
ISEF · 2022
Mathematics
With over 400 million annual infections ranging over the Americas, Asia, and Africa, dengue fever is classified as the disease most frequently transmitted by mosquitoes. Proper medication fo…
ISEF · 2022
Mathematics Third Award
Dynamical optimal transport is a field in mathematics and computer science involving interpolation between two probability measures. While dynamical optimal transport on continuous domains i…