Invariants and elasticity tensors play a pivotal role in the mathematical and physical description of material behaviour. By characterising properties that remain unchanged under coordinate ...

Topological materials – materials whose surface properties are very different to those in their bulk – have come to the fore in recent years and are currently revolutionizing modern condensed matter ...

When Lisa Piccirillo solved a decades-old mystery about the “Conway knot,” she had to overcome the knot’s uncanny ability to hoodwink some of the most powerful tools mathematicians have devised. Known ...

Invariants should be well-formed formulas, that is, they should be logical statements (with a truth-value--true, of course), in the predicate calculus or rigorous English. A good invariant is a ...

Informally, a dynamic system is any physical system that evolves with time (e.g., a pendulum, a planet orbiting the sun, the weather, etc). From a more mathematically precise perspective, one can ...