Various generalizations of the Gronwall inequality 1, 2 are fundamental tools in the study of existence, uniqueness, boundedness, stability, invariant manifolds, and other qualitative properties of solutions of differential equations and integral equation. There are a lot of papers investigating them such as 3–8 . Along with the development of the theory of integral inequalities and the theory ...

Social choice theory concerns itself with the proper choice of a social state from a given feasible set of social states. The main question the theory addresses is how that social choice should depend on the profile of individual preferences. Early work by Arrow and various predecessors, including Condorcet, Borda, Dodgson and Black, was about the construction of a social preference ordering — ...

Background: Multiple sclerosis (MS) is an autoimmune disease of the central nervous system. Psychological manifestations such as depression, anxiety and stress are common in patients with MS. Social support is involved in the well-being of patients with MS. This study aimed to assess the relation between perceived social support with depression, anxiety and stress in patients with MS. Methods:...

In this paper we propose a class of propagation models for multiple competing products over a social network. We consider two propagation models: the social conversion mechanism and the self conversion mechanism, corresponding respectively to the endogenous and exogenous factors. A novel concept, the product-conversion graph, is proposed to characterize the interplay among competing products. A...

Although the study of multisensory processes and the study of synaesthesia both represent burgeoning fields of inquiry, there has been little attempt to bridge between these two research topics. This is somewhat surprising, as these two are undoubtedly heavily interrelated from both a psychological and neuroscience perspective. The goal of the present issue is explore these interrelationships, ...

The selection of metrics for spectral matches is fundamental to MVSI (multi-channel visible-spectrum imaging) otherwise known as spectral imaging. The metrics used for spectral matches can impact everything from the selection of the filters used for multi-channel capture to the evaluation of the spectral estimation. However, there is, as yet, no consensus on which metric should be applied for s...

Previous research on social support and depressive symptoms has found a relation between decreases in social support and increases in depressive symptoms. However, it is not clear whether support leads to decreases in depressive symptoms (support alleviation) or depressive symptoms leads to a decrease in support provision (support erosion). The current study explored this causal relation by hav...

This research has been conducted by the aim of analysis of the relation of inefficient Attitude and social undermining of the employees of football clubs in Kerman. The research method is descriptive-correlative. The statistical population of this research includes all employees of teenage, youth and adult employees of Kerman city in 2017 with the total number of 192 from which 153 replied to t...

Event extraction is vital to social media monitoring and social event prediction. In this paper, we propose a method for social event extraction from web documents by identifying binary relations between named entities. There have been many studies on relation extraction, but their aims were mostly academic. For practical application, we try to identify 130 relation types that comprise 31 prede...