Knitting Needles for Circular Machines

Process Control for Total Quality in Circular Knitting

This paper deals with a problem of major concern to the knitting industry, which is fabric defects. When a defect occurs, the knitting machine has to be stopped and the fault corrected, thus resulting in time loss which is uneconomic. Eventually, the knitted fabric may be rejected if quality requirements are not met. An effective monitoring of the knitting process is required in order to avoid ...

Small Universal Circular Post Machines

We consider a new kind of machines with a circular tape and moving in one direction only, so-called Circular Post machines. Using 2-tag systems we construct some small universal machines of this kind.

Constructive Knitting for Children

Nine Universal Circular Post Machines

We consider a new kind of computational device like Turing machine, so-called circular Post machines with a circular tape and moving in one direction only, introduced recently by the second and the third authors. Using 2-tag systems we construct new nine small universal machines of this kind.

Quantum Knitting

We analyze the connections between the mathematical theory of knots and quantum physics by addressing a number of algorithmic questions related to both knots and braid groups. Knots can be distinguished by means of ‘knot invariants’, among which the Jones polynomial plays a prominent role, since it can be associated with observables in topological quantum field theory. Although the problem of c...