Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. Lay the foundations of a rewarding career with mathematics at its base by ...

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. We place social responsibility at the heart of your learning which means you can ...

Applied mathematics is the application of mathematical techniques to describe real-world systems and solve technologically relevant problems. This can include the mechanics of a moving body, the ...

A quadratic graph is produced when you have an equation of the form \(y = ax^2 + bx + c\), where \(b\) and \(c\) can be zero but \(a\) cannot be zero. All quadratic graphs have a line of symmetry.

A translation is a movement of the graph either horizontally parallel to the \(x\)-axis or vertically parallel to the \(y\)-axis. The graph of \(y = f(x)\) where \(f(x) = x^2\) is the same as the ...

The Test of Mathematics for University Admission (TMUA) tests your mathematical thinking and reasoning skills. Which LSE programmes use the TMUA in their selection process? For these two programmes ...

Abstract: In this article, the distributed model predictive control (MPC)-based noncooperative game problem is dealt with for the discrete-time multiplayer systems (MPSs) with an undirected graph. To ...

Abstract: This paper addresses the resilient leader-follower consensus problem for discrete-time high-order multi-agent systems with time-varying graphs. A resilient control law is proposed for each ...

Official Implementation of "Reasoning on Graphs: Faithful and Interpretable Large Language Model Reasoning". Reasoning on graphs (RoG) synergizes LLMs with KGs to enable faithful and interpretable ...