Browse real student projects, abstracts, and awards.
ISEF · 2019
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
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
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
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
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
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
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…
ISEF · 2019
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…
ISEF · 2019
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
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
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
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…
ISEF · 2019
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…