The Miura and anti-Miura transformations between the q-deformed KP modified hierarchies are investigated in this paper. Then auto-Backlund for constructed through combinations of transformations. And corresponding results also generalized to constrained cases. At last, some examples given.

The KP equation with self-consistent sources (KPESCS) is treated in the framework of the constrained KP equation. This offers a natural way to obtain the Lax representation for the KPESCS. Based on the conjugate Lax pairs, we construct the generalized binary Darboux transformation with arbitrary functions in time t for the KPESCS which, in contrast with the binary Darboux transformation of the ...

Based on the probability generating function of stuttering Poisson distribution (SPD), this paper considers some equivalent propositions of SPD. From this, we show that some distributions in the application of non-life insurance actuarial science are SPD, such as negative binomial distribution, compound Poisson distribution etc.. By weakening condition of equivalent propositions of SPD, we defi...

Spatially autocorrelated species abundance or distribution datasets typically generate spatially autocorrelated residuals in generalized linear models; a broader modelling framework is therefore required. Auto-logistic and related auto-models, implemented approximately as autocovariate regression, provide simple and direct modelling of spatial dependence. The autologistic model has been widely ...

To automatically annotate songs with descriptive keywords, a variety of content-based auto-tagging strategies have been proposed in recent years. Different approaches may capture different aspects of a song’s musical content, such as timbre, temporal dynamics, rhythmic qualities, etc. As a result, some auto-taggers may be better suited to model the acoustic characteristics commonly associated w...

PURPOSE Despite the importance of skin exposure, studies of skin symptoms in relation to exposure and respiratory symptoms are rare. The goals of this study were to describe exposure-response relationships for skin symptoms, and to investigate associations between skin and respiratory symptoms in bakery and auto body shop workers. METHODS Data from previous studies of bakery and auto body sho...

The autologistic model and related auto-models, commonly applied as autocovariate regression, offer distinct advantages for analysing spatially autocorrelated species distribution or abundance data, allowing simple and direct modelling of the dependence of nearby observations. However, Carl and Kühn (Ecological Modelling, 2007, 207, 159) and Dormann (Ecological Modelling, 2007, 207, 234) questi...