## Search

Now showing items 1-10 of 31

#### 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?

(2017)

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

(2017)

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

(2017)

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

(2014)

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

(2017)

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

(2017)

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 ...