Browse real student projects, abstracts, and awards.
ISEF · 2023
Mathematics Fourth Award
Linear Delta robots (LDRs) are a relatively new subset of parallel robots, used in some 3D printing and manufacturing applications due to their rigidity and speed. However, there are just tw…
ISEF · 2023
Mathematics
A fundamental study in the field of quantum algebra is the study of fusion categories, which generalize finite groups and their representation categories. They also yield the structures of t…
ISEF · 2023
Mathematics
A zigzag chord is a broken line with vertices on the circle and connecting in a zigzag way, and any two adjacent segments form a fixed certain angle. The initial observation of this project…
ISEF · 2023
Mathematics Third Award
Ever since the deferred acceptance algorithm was first proposed by Gale and Shapley (1962), there has been much research about mechanisms that optimally match high school seniors to colleges…
ISEF · 2023
Mathematics
Dummit, Granville and Kisilevsky have recently shown that the proportion of semiprimes (products of two primes) not exceeding a given x, whose factors are congruent to 3 modulo 4, is more th…
ISEF · 2023
Mathematics Second Award
Knot theory is the mathematical study of tangled loops of string. Over the last 50 years, a number of applications have been found. For instance: molecules created with the same atoms, but s…
ISEF · 2023
Mathematics
For any given curve, integration is the customary method for determining the area under the curve. However, finding the actual length of the curve is a far more complex task and one rarely e…
ISEF · 2023
Mathematics First Award
The Two-Way Partitioning Problem is an NP-Complete problem that seeks to find a partition of a set of integers: given an input multiset S of n positive integers, separate the integers of S i…
ISEF · 2023
Mathematics
In this project we aim to study the structures of graph, generated by the transformations x? kx^n in Zp, with the goal to obtain results, in a sense equivalent to the result in Lee Deville's…
ISEF · 2023
Mathematics
A positive square matrix is an n × n array of positive real number entries. The Sinkhorn-Knopp alternate minimization algorithm transforms these matrices into their respective doubly stochas…
ISEF · 2023
Mathematics Fourth Award
Gerrymandering is one of the biggest problems in American democracy. Political parties have, in the past few decades, used redistricting as a method of maintaining political control. Often,…
ISEF · 2023
Mathematics
Two matrices, in which their numbers are separated by a number defined by “n” or “ni”, being ‘i’ the imaginary unit, will be similar. This research will work with various types of squared ma…