Discourse markers in relation tonon-verbal behavior

The research proposed in this paper focuses on pragmatic interlinks between discourse markers and non-verbal behavior. Although non-verbal behavior is recognized to add non-redundant information and social interaction is not merely recognized as the transmission of words and sentences, the evidence regarding grammatical/linguistic interlinks between verbal and non-verbal concepts are vague and limited to restricted domains. This is even more evident when non-verbal behavior acts in the foreground but contributes to the structure and organization of the discourse. This research focuses on investigating the multimodal nature of discourse markers by observing their linguistic and paralinguistic properties in informal discourse. We perform a quantitative analysis with case studies for representative cases. The results show that discourse markers and background non-verbal behavior tend to follow a similar functionality in interaction. Therefore, by examining them together, one gains more insight into their true intent despite the high multifunctionality of both non-verbal behavior and DMs.

Automatically Producing Semantically Tagged Bilingual Terminologies

Even though many NLP resources and tools claim to be domain independent, their application to specific tasks is restricted to some specific domain, otherwise their performance degrade notably. As the accuracy of NLP resources drops heavily when applied in environments different from which they were built a tuning to the new environment is needed. This paper proposes a method for automatically compile terminologies from potentially any domain. The proposed method takes as reference the set of domains defined by Magnini, the Multilingual Central Repository (a resource based on WordNet 3.0) together with DBpedia, an open knowledge source that had proven to be reliable for restricted domains. Using the method described in this article, we have produced a big set of reliable terminologies for 164 domains and 2 languages totalling 635,527 terms. The proposed method has been applied to English and Spanish languages but it is potentially applicable to any language that has its own a DBpedia evolved enough. The obtained results have been intensively evaluated in several ways.

Dialect Levelling: A Case Study of Ìkàr??-Àkókó Dialect

This study investigates the factors that are responsible for the levelling of Ìkàr??-Àkókó dialect. Specifically, the paper examines the impacts of Nigerian indigenous languages, especially Yorùbá, on the dialect. The study aims at identifying the patterns of changes in the dialect and their impacts on the ethnic identities of the people. The work is based on the variationist approach pioneered by William Labov in the late 1960s and early 1970s. The tools used for data collection include questionnaire, oral interview and observation. The findings of the study reveal that the dialect manifests different stages of changes, vital domains like home, school and work place, which are supposed to be the strongholds of this dialect are being encroached upon by languages other than the mother tongue in the study area. It was found that the changes in the dialect are not due to the influence of English language only, but to indigenous Nigerian languages, mostly Yorùbá. It was concluded that the gradual levelling of Ìkàr??-Àkókó dialect is caused in part by restricted domains of use, increase in population; lack of commitment to indigenous language use by the native speakers; and suppressive language policy in the nation. The study recommends sensitization campaigns as a way of maintaining and sustaining the status of indigenous languages.

Inner product spaces and quadratic functional equations

In this paper, we introduce the functional equations $$\begin{aligned} f(2x-y)+f(x+2y)&=5\bigl[f(x)+f(y)\bigr], \\ f(2x-y)+f(x+2y)&=5f(x)+4f(y)+f(-y), \\ f(2x-y)+f(x+2y)&=5f(x)+f(2y)+f(-y), \\ f(2x-y)+f(x+2y)&=4\bigl[f(x)+f(y)\bigr]+\bigl[f(-x)+f(-y)\bigr]. \end{aligned}$$ f ( 2 x − y ) + f ( x + 2 y ) = 5 [ f ( x ) + f ( y ) ] , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + 4 f ( y ) + f ( − y ) , f ( 2 x − y ) + f ( x + 2 y ) = 5 f ( x ) + f ( 2 y ) + f ( − y ) , f ( 2 x − y ) + f ( x + 2 y ) = 4 [ f ( x ) + f ( y ) ] + [ f ( − x ) + f ( − y ) ] . We show that these functional equations are quadratic and apply them to characterization of inner product spaces. We also investigate the stability problem on restricted domains. These results are applied to study the asymptotic behaviors of these quadratic functions in complete β-normed spaces.

Visually suggestive but mathematically incorrect

Mathematical calculation at times may produce erroneous results because of ignoring particular features of the functions involved, such as restricted domains, ranges and discontinuities. In this Article, to highlight the significance of conceptual understanding, we choose six examples and for each we give a flawed solution followed by a correct solution.

The Stability of Isometries on Restricted Domains

We will prove the generalized Hyers–Ulam stability of isometries, with a focus on the stability for restricted domains. More precisely, we prove the generalized Hyers–Ulam stability of the orthogonality equation and we use this result to prove the stability of the equations ∥f(x)−f(y)∥=∥x−y∥ and ∥f(x)−f(y)∥2=∥x−y∥2 on the restricted domains. As we can easily see, these functional equations are symmetric in the sense that they become the same equations even if the roles of variables x and y are exchanged.