While the derived trees yielded by TAG derivations are uncontroversially taken to correspond to phrase structure, the status of TAG derivation structures as more than a record of TAG operations is less certain. An attractive possibility is to interpret the derivation structure as some representation of semantic meaning, such as a dependency analysis. However, the literature has identified cases...

The present paper is devoted to studying local derivations on the Lie algebra $W(2,2)$ which has some outer derivations. Using linear methods in \cite{CZZ} and a key construction for we prove that every derivation $W(2, 2)$ derivation. As an application, determine all deformed $\mathfrak{bms}_3$ algebra.

We define operator manifolds as manifolds on which a spectral measure on a Hilbert space is given as additional structure. The spectral measure mathematically describes space as a quantum mechanical observable. We show that the vectors of the Hilbert space can be represented as functions on the manifold. The arbitrariness of this representation is interpreted as local gauge freedom. In this way...

In this paper a new method for color image segmentation is presented. The proposed algorithm divides the image into homogeneous regions by derivation of local thresholds via local information. The algorithm contains two main steps. First, the watershed algorithm is applied on the image gradient magnitude. Its results are used as an initial segmentation for the next step, which is region merging...

The aim of this paper is to show that under some mild conditions a functional equation of multiplicative $(alpha,beta)$-derivation is superstable on standard operator algebras. Furthermore, we prove that this generalized derivation can be a continuous and an inner $(alpha,beta)$-derivation.

This paper studies the derivation of multiple nominative constructions (MNC) in Japanese. First, discussing the MNC-sentences in which there is a relation of inalienable possession between nominative noun phrases, I will argue that the set of local economy principles that choose among potentially possible steps at a single stage of a derivation contains a principle that minimizes the size of mo...

In this work, an electrolyte-UNIQUAC model was developed by replacement of Boltzmann weight binary interaction parameters by the nonextensive Tsallis weight. A summation of the long-range electrostatic term (Debye-Huckel equation) and a short-range interaction term were considered in the calculation of thermodynamic properties. A framework proposed by Chen and co-workers was employed for the de...