Abstract: This paper is about the state feedback regulator problem for infinite-dimensional linear systems. The plant, assumed to be an exponentially stable regular linear system, is driven by a ...

Abstract: In this note, the leader-following consensus problem is considered for a class of second-order nonlinear multiagent systems, where the communication topology is switching. In view of that ...

SPOD() is a Matlab implementation of the frequency domain form of proper orthogonal decomposition (POD, also known as principle component analysis or Karhunen-Loève decomposition) called spectral ...

Heriot-Watt is ranked 2nd in Scotland (National Student Survey 2025), 5th in the UK (The Times and The Sunday Times Good University Guide 2026) and Top 200 in the world (2026 World University Subject ...

ChatGPT's breakthrough is not what it seems.

How Emmy Noether's theorem uses the Lagrangian to provide a formula for calculating the quantity of symmetries in a ...

The role of homework has long been debated in education—what’s its purpose? How much is too much? Is it effective? As schools ...

A study of 26,000 students found AI boosted homework scores while eroding exam performance. The AI trap responsible may be at ...

These short anomaly-detection puzzles are designed to illustrate how reasoning often depends on identifying inconsistencies ...

Scientists have long known that the DNA code in genes is not the only way to pass genetic traits from parents to offspring. "Epigenetic" marks—chemical modifications to DNA that don't change the DNA ...

Effective mass (m*) is defined as: where x, y, z are the directions in the reciprocal Cartesian space (2π/A), En(k) is the dispersion relation for the n-th electronic band. The explicit form of the ...