‎we characterize those groups $g$ and vector spaces $v$ such that $v$ is a faithful irreducible $g$-module and such that each $v$ in $v$ is centralized by a $g$-conjugate of a fixed non-identity element of the fitting subgroup $f(g)$ of $g$‎. ‎we also determine those $v$ and $g$ for which $v$ is a faithful quasi-primitive $g$-module and $f(g)$ has no regular orbit‎. ‎we do use these to show in ...

Appropriate large-scale citizen-science data present important new opportunities for biodiversity modelling, due in part to the wide spatial coverage of information. Recently proposed occupancy modelling approaches naturally incorporate random effects in order to account for annual variation in the composition of sites surveyed. In turn this leads to Bayesian analysis and model fitting, which a...

this article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. we present a concrete formulation for the frobenius norm of the classical wavelet transforms over finite fields. it is shown that each vector defined over a finite field can be represented as...

The semantics of logic programs was originally described in terms of two-valued logic. Soon, however, it was realised that three-valued logic had some natural advantages, as it provides distinct values not only for truth and falsehood, but also for “undefined”. The three-valued semantics proposed by Fitting and by Kunen are closely related to what is computed by a logic program, the third truth...

Many geometrical problems exist which have been researched thoroughly, but always using classical methods such as linear algebra as a framework for the problem. As linear algebra is an algebra based on coordinates and numbers as basic elements of computation, this leads to longwinded and non-universal code. Geometric algebra is an alternative formalism in which geometric objects are the basic e...

As a continuation of our efforts to develop efficient and accurate interpolating moving least-squares (IMLS) methods for generating potential energy surfaces, we carry out classical trajectories and compute kinetics properties on higher degree IMLS surfaces. In this study, we have investigated the choice of coordinate system, the range of points (i.e., the cutoff radius) used in fitting, and st...

Ab initio calculation based on density function theory (DFT) is an accurate and efficient method for modelling material properties. It is performed by solving the Shrödinger equations with a few assumptions to obtain the physical properties of the system. It is very computational demanding when dealing with large systems or longtime simulations. Developing empirical potentials on the basis of a...