Tags » Knot Theory

Prime Numbers Java program

Prime Number Definition

                 “A whole number greater than 1 that is divisible only by itself and 1”.

A prime number will always have factors as 1 and itself. 231 more words


Foiled by multiple roots

Let be the set of monic complex polynomials of degree 3 with multiple roots, and regard it as a subspace of by looking at the non-leading coefficients. 11 more words

Knot theory

Knots (links) are embeddings of the circle (some finite number of circles) into the 3-sphere, modulo ambient isotopy. Knot theory is thus the study of the essentially different ways we can embed a circle into a 3-sphere—a kind of deformation theory for such maps, if you will. 1,414 more words


In 4 space dimensions all knots can be unraveled

Nobel laureate Frank Wilczek reminds us in his tutorial article at the Quanta magazine that in 4 space dimensions all knots can be unraveled completely. He explains it as follows: 278 more words