ISEF · 2019
Jump Return Problem on the Circle
Mathematics
In this study, we consider a discrete dynamic system starting with n arbitrary points on a circle. In one transition, each point moves simultaneously from its current state counterclockwise…
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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 · 2019
Loop Spaces, P-Curvature, and Homotopy
Mathematics Fourth Award
Given a Vector Bundle (Coherent Sheaf) with Integrable Connection on a variety in positive characteristic, its p-curvature measures the amount of horizontal sections of the bundle and its va…
CSEF · 2019
Machine Learning for Distinguishing Benign from Malignant Liver Tumors
Mathematical Sciences Honorable_mention Award
Objectives Liver cancer is the second deadliest cancer in the world. Due to the multitude of lesions found within the liver, locating a specific lesion and determining its malignancy is a ch…
ISEF · 2019
Mersenne Primes: An Exploratory Study of Patterns and Some New Conjectures
Mathematics
*Introduction Mersenne Primes:- A number of the form 2^n – 1 where n is a natural number is a Mersenne number. If its value is prime then it is known as a Mersenne Prime. Mersenne primes are…
ISEF · 2019
Modifying the Tau-Value to Better Approximate Player Value in Cooperative Games
Mathematics
Cooperative games are systems in which entities, players, can join to form subsets, known as coalitions. While players contribute varying amounts, known as marginal impacts, to different coa…
ISEF · 2019
New Proofing Method with Syllogism
Mathematics
There’s no doubt that in recent years the connection between different subjects is really cruical. For this exact reason I intend to proof mathematical theories with the help of syllogisms.…
CSEF · 2019
Novel Reinforcement Learning Methods in Collaborative Environments
Mathematical Sciences
Objectives Reinforcement learning (RL) is an emerging field with numerous applications in a wide variety of domains, such as robotics, supply chain and network optimization, marketing, and m…
CSEF · 2019
Observing Behavior of Actor-Critic Driven Disturbance Agents on Cryptocurrency Exchanges
Mathematical Sciences Third Award
Objectives In this study, an example of how automated agents can potentially swing a cryptocurrency trading environment is presented. Using a group of simulated markets, reinforcement learni…
CSEF · 2019
Obstacle Avoiding Robot: A Reinforcement Learning Approach
Mathematical Sciences
Objectives Artificial intelligence is the wave of our future. We wanted to undertake a science project involving AI with real life applicability. Our goal was to program a robot that could d…
ISEF · 2019
On Stallings Geodesic Braids Conjecture
Mathematics
In low-dimensional topology, one of the most beautiful and complex topics is braid theory. There are deep connections between braids, knots, mappings on surfaces, and even algebraic geometry…
ISEF · 2019
On the Application of Heat Diffusion across a Manifold for Dimensionality Reduction
Mathematics Third Award
Dimensionality reduction techniques are becoming widely used in academia, business, and machine learning to reduce the time required to process a higher dimensional dataset. In this context,…
ISEF · 2019
On the Largest Axes-Parallel Rectangle among Points in a Square
Mathematics Third Award
Given S, a set of n points contained in the unit square Q = [0, 1]^2, let f(S) denote the area of the largest axes-parallel rectangle that does not contain any of the points of S in its inte…
ISEF · 2019
Optimal Bounds for a Gaussian Arithmetic-Geometric Type Mean by Quadratic and Contraharmonic Means
Mathematics
In this paper, we present the best possible parameters \alpha_i, \beta_i\ (i=1,2,3) and \alpha_4,\beta_4\in(1/2,1) such that the double inequalities \begin{align*} \alpha_1Q(a,b)+(1-\alpha_1…
ISEF · 2019
Performance of Quantum-Inspired Matrix Completion: The Impact of Sampling Strategies
Mathematics
Low-rank matrix completion has attracted significant attention because this technique can be applied to solve many inference problems. Recently, Tang et al. (2018) proposed a quantum-inspire…
ISEF · 2019
Planetary Transfer Calculator
Mathematics Fourth Award
The Planetary Transfer Calculator (PTC) is a tool to calculate and visualise transfers between planets, moons, and stars. The coding system uses a complex combination of mathematical algorit…
ISEF · 2019
Predicting Short Term Equity Price Change Using Internet Search Trends Valence Data
Mathematics
Stock price change in the short term is highly unpredictable and often does not relate to underlying economic or company performance. Stock technical analysis indicators are commonly used to…
ISEF · 2019
Predictive Analytics Algorithm for the Health System
Mathematics
Inadequate hospitalization projections increase the cost of health care and reflect the ineffectiveness of the healthcare services in the primary care setting (Mkanta, 2016). Studies have co…
ISEF · 2019
Private-Key Cryptosystem Using p x p x p Rubik's Cube Group
Mathematics
In modern cryptosystems, even if the adversaries can access the communication medium and initially have the same knowledge as the communicators, sent messages are still safe, since they are…
CSEF · 2019
Pythagorean Triples Found in the Quadratic Equation
Mathematical Sciences
Objectives To fully discover the relationship between the Pythagorean triples and the Quadratic equation. Methods The use of Pythagorean triples a long with the application of the Quadratic…
ISEF · 2019
Solving a Cryptography Problem Using the Master Pyraminx
Mathematics
Purpose: There is always a pressing need for secure cryptography. Most problems used in cryptography act on finite abelian groups, which are groups with finite elements with all pairs of ele…
CSEF · 2019
Spot That Dot: Autonomous Classification of Benign and Malignant Moles
Mathematical Sciences
Objectives The objective is to create software to identify malignant moles by evaluating size, shape, and variation in color. This software attempts to compensate for changes in distance and…
ISEF · 2019
Testing Chebyshev's Bias for Prime Numbers Up to 5*10^15
Mathematics
Presented research belongs to number theory and is a part of a more ambitious project to test Chebyshev’s bias numerically for prime numbers up to 1.84*10^19. Chebyshev’s bias, known from 18…
ISEF · 2019
The Bilman-Trogdon Inverse Scattering Transform for the Toda Lattice
Mathematics
The Toda lattice is a Hamiltonian system which attempts to model a one-dimensional solid. The system was originally introduced by Japanese physicist Morikazu Toda in 1967, and is still relev…
ISEF · 2019
The Mathematical Correlations in an Origami Coiled Structure
Mathematics Fourth Award
Creating a crease in a ring-shaped circular piece of paper results in a saddle-shaped structure which when cut creates a frustum with inner and outer edges in contact with a surface. The pur…
ISEF · 2019
The Mathematical Method to Construct Time-distance Maps for Analyzing Transportation and Economy
Mathematics
Time-distance maps have scales expressed in time units rather than in distance units such that distances between points are proportional to the time-distances. Time-distance maps provide a v…
AJAS · 2019
The Relationship Between Conductor and Discriminant of an Elliptic Curve over Q
Mathematics (inferred)
Saito (1988) establishes a relationship between two invariants associated with a smooth projective curve, the conductor and discriminant. Saito defined the conductor of an arbitrary scheme o…
ISEF · 2019
The Study of Moment of Inertia of any Polyhedron by the Use of Mass Projection of the Polyhedron
Mathematics
Moment of inertia is a quantity measuring of the resistance of a body to the angular acceleration. The quantity can be commonly calculated using integral calculus of which could be very comp…
CSEF · 2019
Using Artificial Intelligence and Electroencephalography against Autism and Attention Deficit Disorder
Mathematical Sciences Honorable_mention Award
Objectives Can an Artificial Intelligence with electroencephalography predict when the user is unfocused. What is the best electroencephalography headset to utilize for the experiment? Which…
CSEF · 2019
Using Machine Learning and Infrared Imagery to Detect Drunk Drivers
Mathematical Sciences Fourth Award
Objectives Our goal was to develop an effective technique utilizing the power of artificial intelligence (AI) to prevent millions of alcohol-related crashes and save countless lives. We hypo…
CSEF · 2019
Using Machine Learning to Identify and Sort Waste
Mathematical Sciences Second Award
Objectives The goal for this project is to design, build, and test a mobile application (app) that is able to sort waste into recycling, compost, and trash. Only 9% of recyclables gets recyc…