FEC (forward-error-correction) techniques correct errors at the receiver end of digital communications systems. In contrast with error-detection and retransmission ...

In this article we prove two characterizations of the Euclidean ball: (i) the only convex body in ℝ³ such that every normal plane bisects the volume (or surface area) is the Euclidean ball, (ii) the ...

This paper proposes an investment efficiency-oriented strategy for power grid infrastructure planning with high penetration of renewable energy sources. First, a multi-objective investment portfolio ...

When the evolution of discrete time quantum walk is carried out for particles, the ramble state is prone to error due to the influence of system noise. A ...

Origami, the art of paper folding, is an emerging platform for mechanical metamaterials. Prior work on the design of origami-based structures has focused on simple geometric constructions for limited ...

Many complex systems are controlled by local fluctuations triggering collective motions and rearrangements. Rapid direction changes in bird flocks or fish banks are a few examples but, even on the ...

Shor’s quantum factoring algorithm exponentially outperforms known classical methods. Previous experimental implementations have used simplifications dependent on knowing the factors in advance.

Last summer in Barcelona, Joachim Kock floated the idea that there might be a connection between two invariants of graphs: the Tutte polynomial and the magnitude function. Here I’ll explain what these ...