Now showing items 1-10 of 32
Determining the order of a molecular point group
(University of Canterbury. Chemistry, 2011)
Conventional methods of identifying the point group of a molecule require skills in finding symmetry elements and operations. A useful aid to error checking is an ability to determine the order of a group purely from its ...
Mathematical aspects of the kriging applied on landslide in Halenkovice (Czech Republic)
(University of Canterbury. Geography, 2016)
Kriging is one of the geostatistical techniques for spatial data analysis that is usually used for a modelling of natural phenomena or a creation of digital elevation models. In this paper,we introduce kriging methods ...
Wave functions for arbitrary operator ordering in the de Sitter minisuperspace approximation
(University of Canterbury. Physics and Astronomy, 2000)
We derive exact series solutions for the Wheeler-DeWitt equation corresponding to a spatially closed Friedmann-Robertson-Walker universe with cosmological constant for arbitrary operator ordering of the scale factor of ...
What is general relativity?
General relativity is a set of physical and geometric principles, which lead to a set of (Einstein) field equations that determine the gravitational field, and to the geodesic equations that describe light propagation ...
Dimension hopping and families of strictly positive definite zonal basis functions on spheres
Positive definite functions of compact support are widely used for radial basis function approximation as well as for estimation of spatial processes in geostatistics. Several constructions of such functions for Rd ...
Marginalization in nonlinear mixed-effects models with an application to dose-response analysis
Inference in hierarchical nonlinear models needs careful consideration about targeting parameters that have either a conditional or population-average interpretation. For the special case of mixed-effects nonlinear sigmoidal ...
A trust-region SQP method for the numerical approximation of viscoplastic fluid flow
We present a new approach to the problem of stationary viscoplastic duct flow as modelled by the Herschel-Bulkley model, with Bingham fluids included as a special case. While the mathematical formulation of this problem ...
Maximal differential uniformity polynomials
We provide an explicit infinite family of integers m such that all the polynomials of F2n [x] of degree m have maximal differential uniformity for n large enough. We also prove a conjecture of the third author in these cases.
The circle space of a spherical circle plane
(BELGIAN MATHEMATICAL SOC TRIOMPHE, 2014)
We show that the circle space of a spherical circle plane is a punctured projective 3-space. The main ingredient is a partial solution of the problem of Apollonius on common touching circles.
New characterisations of tree-based networks and proximity measures
Phylogenetic networks are a type of directed acyclic graph that represent how a set X of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of ...