Through a Summer Undergraduate Research Fellowship, Jenny Quan is exploring the mathematical principles behind Rubik's cubes.

Abstract: We consider the approximate nearest neighbour search problem on the Hamming cube {0, 1 }/sup d/. We show that a randomised cell probe algorithm that uses polynomial storage and word size ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

Two mathematicians have used a new geometric approach in order to address a very old problem in algebra. In school, we often learn how to multiply out and factor polynomial equations like (x² – 1) or ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. We have developed a fully numerical method for calculating the response of the Hartree ...

A central problem in machine learning is the following. We are given data of the form {(x j, y j)} j = 1 M, where each x j is typically in a Euclidean space and y j is a label associated with x j. The ...

When dealing with complex mathematical equations, having the right tools at your disposal can make all the difference. One such essential tool is the calculator, often used to quickly and efficiently ...

Key Laboratory of Meat Processing of Sichuan Province, Chengdu University, Chengdu, China This paper investigates the optimal process for ultrasonic desalination of Mianning ham. The study analyzed ...

We obtain the characteristic polynomials and a number of spectral-based indices such as the Riemann-Zeta functional indices and spectral entropies of n-dimensional hypercubes using recursive Hadamard ...