Browse real student projects, abstracts, and awards.
ISEF · 2024
Mathematics
Inspired by the famous function of the D.Kaprekar K(n)=n+S(n), I invented and investigated various properties of a new function A(n)=(n-S(n))/9 where S(n) is the sum of digits of the natural…
ISEF · 2024
Mathematics Second Award
The rise of modern cryptosystems introduced the problem of modular exponentiation. Modular exponentiation is the problem of computing a perfect power a^n modulo some modulus, say m. This pro…
ISEF · 2024
Mathematics
This study explored various general properties related to the theta curve’s arc index. The arc index not only serves to classify spatial graphs but also plays a crucial role in computing a s…
ISEF · 2024
Mathematics Second Award
Classification tasks in machine learning, essential for applications ranging from fraud detection to medical diagnoses, frequently encounter the challenge of imbalanced datasets. These imbal…
ISEF · 2024
Mathematics
Students across the United States live with the fear of school violence. Schools combat this through rehearsal lockdowns, dress codes, metal detectors, and professional development for polic…
ISEF · 2024
Mathematics
Typical Ramsey theory refers to that, if all edges of a complete graph with n vertices are colored in red or blue, each edge in either color of the two, when n becomes large enough, we can c…
ISEF · 2024
Mathematics
For a fixed positive integer b?N, let the b-sight lines be defined by f(x)=ax^b, for a?Q, with the origin O as the observing point (the position of the eyes). A point in the square lattice V…
ISEF · 2024
Mathematics
Over the course of history, different ways of hiding messages have been created, and this investigation was done to achieve that using RSA and dates. The way that this encryption system work…
ISEF · 2024
Mathematics
Studying population dynamics is key to protecting vital aquatic ecosystems and the economic activities they support, such as those of the Chesapeake Bay. Mathematics is a powerful tool that…
ISEF · 2024
Mathematics
Spacetime is a mathematical model of our universe based on the general relativity theory. Our observable world in this spacetime is represented by causally related points, defined as points…
ISEF · 2024
Mathematics
Abortion is a surgical procedure that is performed on pregnant women in which a fetus inside the uterus is terminated. There are many factors to consider when studying the reason behind why…
ISEF · 2024
Mathematics Third Award
The cryptocurrency Ethereum utilizes zero-knowledge rollups (ZKR) to improve its scalability. ZKRs processes thousands of Ethereum transactions in a batch and uses zk-SNARKs (zero-knowledge…
ISEF · 2024
Mathematics
Federated learning is a new and exciting field of topic that has arisen in the world of machine learning. This field is new and exciting because it offers innovative solutions that address m…
ISEF · 2024
Mathematics
Partitions of integers n are different representations of n as a sum of positive integers. They have applications in a variety of maths and physics topics including distribution problems and…
ISEF · 2024
Mathematics
As factorization theory of rings is already well-studied, it is natural to generalize the scope of factorization theory from rings to monoids. Puiseux monoids (i.e. additive monoids over a s…
ISEF · 2024
Mathematics
Legendre's Formula and Fine's Theorem use number theory to analyze combinatorics functions. Legendre's formula finds the exponent of a prime (p) dividing the factorial of any integer (n); Fi…
ISEF · 2024
Mathematics
Quasi-stationary distributions underlie a great number of fundamental phenomena and are valuable tools in molecular biology and neuroscience, where they are used to model interactions betwee…
ISEF · 2024
Mathematics
This study introduces a new solution approach to the Gauss Circle Problem by utilizing Pick's Theorem. Our approach involves examining lattice points within and on the circumference of the c…
ISEF · 2024
Mathematics
This project looked at two prevalent neurodevelopment disorders that often exhibit overlapping symptoms, ADHD and Dyslexia. The purpose of this project was to find out if these two disorders…
ISEF · 2024
Mathematics
This project focuses on Packet Radio Networks (PRN), represented as a graph G = (V,E) with V and E as its vertex and edge sets respectively. The vertices represent the set of stations, and t…
ISEF · 2024
Mathematics
In my research project I want to generalise the well-known concept of Riemann integration of functions on sequences in order to obtain a new tool for the investigation of sequences. To do th…
ISEF · 2024
Mathematics Fourth Award
Seventh chords are widely used in music. What are the relationships between different seventh chords? Can these relationships be explained mathematically? This research classifies transforma…
ISEF · 2024
Mathematics
In light of the tremendous scientific development, Algebra between science and sustainability has become one of the most important requirements, and in this study, which aims to Estimate the…
ISEF · 2024
Mathematics
Is a Bessel representation of exponential sums corresponding to divisors obtainable, and if so, viable? In an original expression I derived relating the divisor functions at individual point…
ISEF · 2024
Mathematics Fourth Award
We explore knots. If we allow self-intersections, we get Singular knots. To distinguish different knots, invariant functions are used. A function from the set of knots to a ring is called a…
ISEF · 2024
Mathematics
When many participants are involved, rock-paper-scissors tournaments can take numerous matches to complete. Prior studies attempted to reduce the number of matches by appropriately distribut…
ISEF · 2024
Mathematics
The intersection of p-adic curve theory and ellipse geometry constitutes a field of geometric research. The relevance of elliptic curves is based on the proof of Fermat's last theorem. Geome…
ISEF · 2024
Mathematics Third Award
Multiple Sclerosis (MS), an autoimmune disease affecting millions worldwide, is characterized by its unpredictable course. Mathematics as a tool for predicting MS outcomes and identifying fa…
ISEF · 2024
Mathematics
In this project the intricacies of continued fractions are explored by extending them (through use of recursion) to infinity whilst applying them to the context of repeating arrangements of…
ISEF · 2024
Mathematics
The modern world is on the threshold of a technological revolution in warfare, which requires a rethinking of the simulation of combat operations, considering the increasingly important role…