We investigate the cosmological observational test of extended quintessence model, i.e. a scalar-tensor gravity model with scalar field potential serving as dark energy, by using Planck 2018 cosmic microwave background (CMB) data, together baryon acoustic oscillations (BAO) and redshift-space distortion (RSD) data. As an example, we consider Brans-Dicke kinetic term $\frac{\omega(\phi)}{\phi} \...

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It has been argued that by truncating the sample space of the negative binomial and of the inverse Gaussian-Poisson mixture models at zero, one is allowed to extend the parameter space of the model. Here that is proved to be the case for the more general three parameter Tweedie-Poisson mixture model. It is also proved that the distributions in the extended part of the parameter space are not th...

We propose a spin-like model of DNA nonlinear dynamics with long-range interactions between adjacent base pairs. We show that the model equation is a modified sine-Gordon equation. We perform the linear stability analysis of a plane wave, which predicts high amplitude and extended oscillating waves for high values of the long-range parameter. This is confirmed numerically and biological implica...

One dimensional chiral Hubbard model reduces to the Haldane-Shastry spin chain at half-filling with large but finite on-site energy U . In this talk, we show that the Gutzwiller-Jastrow wavefunctions are the eigen-states of the Hubbard model at U = +∞ at less than half-filling. The full energy spectrum and an infinite set of mutually commuting constants of motion are also given in this limit fo...

We report the structures of eight new dicyanometallate frameworks containing molecular extra-framework cations. These systems include a number of hybrid inorganic-organic analogues of conventional ceramics, such as Ruddlesden-Popper phases and perovskites. The structure types adopted are rationalized in the broader context of all known dicyanometallate framework structures. We show that the str...

We present the hybrid query language HQL/EER for an Extended Entity-Relationship model. As its main characteristic, this language allows a user to use both graphical and textual elements in the formulation of one and the same query. We demonstrate the look-and-feel of this query language by means of examples, and show how syntax and semantics of this language are formally deened using programme...