We prove that among the finite-dimensional algebras of finite representation type those are string precisely ones have property middle term an arbitrary extension indecomposable modules has at most two direct factors. On other hand, we show non-domestic very far from having property.

We have proposed a new spatio-temporal knowledge structure called 3D C-string to represent symbolic videos accompanying with the string generation and video reconstruction algorithms. In this paper, we extend the idea behind the similarity retrieval of images in 2D C-string to 3D C-string. Our extended approach consists of two phases. First, we infer the spatial relation sequence and temporal r...

Machine Translation (MT) is seen as a mapping from a source language string into a target language string via an internal representation. I restrict the internal representations to derivation trees that can be generated from context-free grammars (CFG). It is shown that there are more than n! possible representations for an input string of length 1 < n < 20. Given this untractable complexity of...

Many studies have demonstrated that shape string is an extremely important structure representation, since it is more complete than the classical secondary structure. The shape string provides detailed information also in the regions denoted random coil. But few services are provided for systematic analysis of protein shape string. To fill this gap, we have developed an accurate shape string pr...

We perform a path-integral analysis of the string representation of the dual Abelian Higgs (DAH) model beyond the London limit, where the string describing the vortex of a flux tube has a finite thickness. We show that besides an additional vortex core contribution to the string tension, a modified Yukawa interaction appears as a boundary contribution in the type-II dual superconducting vacuum....

We discuss the long distance behaviour of the flux tube associated to baryon vertices and argue that, if the gauge system admits stable k-strings, the conformal field theory describing this string in the IR has conformal anomaly c = (d −2)σk/σ , where σk is the k-string tension and σ that of the fundamental representation. We check this result in a 3D Z4 gauge model at finite temperature, where...

Given a string on an integer alphabet, we present an algorithm that computes the set of all distinct squares belonging to this string in time linear to the string length. As an application, we show how to compute the tree topology of the minimal augmented suffix tree in linear time. Asides from that, we elaborate an algorithm computing the longest previous table in a succinct representation usi...

In this paper a number of issues relating to the application of string processing techniques on musical sequences are discussed. A brief survey of some musical string processing algorithms is given and some issues of melodic representation, abstraction, segmentation and categorisation are presented. This paper is not intended towards providing solutions to string processing problems but rather ...

We examine the algebraic structure of the matrix regularization for the wrapped membrane on R10 × S1 in the light-cone gauge. We give a concrete representation for the algebra and obtain the matrix string theory having the boundary conditions for the matrix variables corresponding to the wrapped membrane, which is referred to neither Seiberg and Sen’s arguments nor string dualities. We also emb...