Using a probabilistic interpretation of the Burau representation of the braid group ooered by Vaughan Jones, we generalize the Burau representation to a representation of the semigroup of string links. This representation is determined by a linear system, and is dominated by nite type string link invariants. For positive string links, the representation matrix can be interpreted as the transiti...

By making the moving direction of each disc explicit in the representation, a bit-string so constructed can be used to drive the Tower of Hanoi algorithm. The behaviour of disc moves is further analyzed based on the bit-string representation. It has been shown that the bit-string for moving n discs can be used to generate successively the Gray codes of n bits.

Group SELFIES is a molecular string representation that incorporates tokens which represent substructures while maintaining robustness, improves the performance of generative models.

We present a new representation of the string vertices of the cubic open string field theory. By using this three-string vertex, we attempt to identify open string fields as huge-sized matrices by following Witten's idea. By using these huge matrices, we obtain some results about the construction of partial isometries in the algebra of open string fields.

We give the general form of the vertex corresponding to the interaction of an arbitrary number of strings. The technique employed relies on the “comma” representation of String Field Theory where string fields and interactions are represented as matrices and operations between them such as multiplication and trace. The general formulation presented here shows that the interaction vertex of N st...

String matching algorithm is a very useful algorithm in pattern matching that can be used to match any patterns that can be represented in strings or sequence. This paper will discussed how string matching can be used as a method for face recognition. We will focus on the implementation using approximate string matching. In order for face images to be implemented in pattern matching, they have ...

In this article, we propose a picture-based object-oriented spatial knowledge representation, called PCOS-string, for an environment seen from the observer’s point of view. The PCOS-string representation preserves the spatial relationships among objects and thus can facilitate spatial reasoning especially from the observer’s perspective. We also present a visibility inference algorithm based on...