This paper considers how many character comparisons are needed to find all occurrences of a pattern of length m in a text of length n. The main contribution is to show an upper bound of the form of n + O(n/m) character comparisons, following preprocessing. Specifically, we show an upper bound of n + 8 3(m+1) (n −m) character comparisons. This bound is achieved by an online algorithm which perfo...

The origin of this conjecture is the coincidence of the TBA equations based on the Bethe equation for the spin chain and on the S-matrix theory. It is natural to look for a description of the space of states in terms of these particles, rather than in terms of symmetry currents. Such a particle description was first obtained for sl(2) level 1 WZW model, and generalized to higher rank and/or lev...

Proof. Now suppose that ρp is absolutely reducible and we want to show that for any other λ ∈ Spec(E), ρλ is also absolutely reducible. Note that there exists a finite extension K over Ep such that ρp is reducible. Then there is a vector e1 in the underline space V ′ = V ⊗Ep K such that G is stable over e1. Let χ1 be the character of G acts on e1, χ2 the character G acts on V ′/K · e1. Since χi...

Chinese word segmentation systems necessarily perform both accurately and quickly for real applications. In this paper, we study on word boundary decision (WBD) approach for Chinese word segmentation and implement it as a 2-tag character tagging with conditional random filed (CRF). With a help of tag transition features, WBD with CRF segmentation approach can achieve comparative performances co...

this study is based on this question, that if it would be required to write a screen play about islamic and shi'ah infallible leaders (imams), then what would be the suitable model for this. the classic model, in this regard often based on the aristotle model, is not enough and ideal to present the infallible islamic characters. this is because it is forbidden to show the face of the islam...

In this paper we present and state evidence for a conjecture on the existence and properties of new vectors for generic irreducible admissible representations of GSp(4, F ) with trivial central character for F a nonarchimedean field of characteristic zero. To summarize the conjecture, let O be the ring of integers of F and let P be the prime ideal of O. We define, by a simple formula, a sequenc...

Biological variety and major evolutionary transitions suggest that the space of possible morphologies may have varied among lineages and through time. However, most models of phylogenetic character evolution assume that the potential state space is finite. Here, I explore what the morphological state space might be like, by analysing trends in homoplasy (repeated derivation of the same characte...

Building on previous work in Chinese character recognition, we describe an advanced system of classification using probabilistic neural networks. Training of the classifier starts with the use of distortion modeled characters from four fonts. Statistical measures are taken on a set of features computed from the distorted character. Based on these measures, the space of feature vectors is transf...

Being motivated by the famous Kaplansky theorem we study various sequential properties of a Banach space E and its closed unit ball B, both endowed with the weak topology of E. We show that B has the Pytkeev property if and only if E in the norm topology contains no isomorphic copy of l1, while E has the Pytkeev property if and only if it is finite-dimensional. We extend Schlüchtermann and Whee...

Bloch and Okounkov’s correlation function on the infinite wedge space has connections to Gromov-Witten theory, Hilbert schemes, symmetric groups, and certain character functions of ĝl ∞ modules of level one. Recent works have calculated these character functions for higher levels for ĝl ∞ and its Lie subalgebras of classical type. Here we obtain these functions for the subalgebra of type D of h...