38,465 real projects from ISEF, the Canada-Wide Science Fair, JSHS, AJAS, the Calgary Youth Science Fair and the California Science & Engineering Fair — searchable by meaning, and filterable by fair, year, category and award.
ISEF · 2025
Mathematics
The smooth sliceness of a knot is an important property with connections to longstanding problems in topology such as the smooth four-dimensional Poincare Conjecture (4SPC) and the Slice-Rib…
ISEF · 2025
Mathematics Second Award
We propose a gated neural framework for solving partial differential equations (PDEs) of the form L(u(x)) = f(x), where x ? O ? Rn and u : O ? R. The solution u(x) is expressed as a residual…
ISEF · 2025
Mathematics
This study aimed to develop a theorem that algebraically calculates the maximum number of spheres inscribed within a ring torus and its resulting total volume. A ring torus is a circle with…
ISEF · 2025
Mathematics
For a polynomial P(x) with integer coefficients and a maximum positive integer root m, we consider the product of its values from x=m+1 to n and denote it as Fp(n). Building up on previous w…
ISEF · 2025
Mathematics
We explore the Euler-Lagrange equations in which tangent spaces have non-coordinate bases. This generalized form is the Boltzmann-Hamel (BH) equation, which contain a term dependent on a coe…
ISEF · 2025
Mathematics
This research aimed to explore the behavior of particles in high-energy proton collisions through a Markovian model to identify cohesive patterns and predict particle behavior. One fundament…
ISEF · 2025
Mathematics First Award
Understanding whether selfish or altruistic behavior benefits an individual more remains challenging using traditional approaches like studying human samples. The prisoner's dilemma, a game…
ISEF · 2025
Mathematics
Polygons, a fundamental concept within the sub-learning area of geometry, have a versatile structure that makes them highly suitable for generalization. With applications extending across ma…
ISEF · 2025
Mathematics
There are over 400,000 cases of Sudden Cardiac Arrest (SCA) recorded annually, with over 90% of these events being fatal. The current detection system used to detect cardiac arrest in hospit…
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…