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Now showing items 1-10 of 11

#### Permanent wave structures and resonant triads in a layered fluid

(University of Canterbury. Dept. of Mathematics, 1978)

A closed three layer fluid with small density differences between the layers has two closely related
modes of gravity wave propagation. The nonlinear
interactions between the wave modes are investigated,
particularly ...

#### Algebras for matrix limitation

(University of Canterbury. Dept. of Mathematics, 1977)

Let A= (a m,n) be a regular matrix; by A is denoted the set of sequences limited by A and by A₀ those sequences limited
to zero by A. If 𝜉 = { 𝜉n } is a bounded sequence and { 𝜉n sn } ∈ A₀
whenever {sn} ∈ A₀ ...

#### A data abstraction model

(University of Canterbury, 1978)

An abstract model, called the data abstraction model, is proposed, and the basic DATAM constructs and representations are presented. The use of DATAM in the modelling and representation of the enterprise view of data is ...

#### Some 2-(2n+1,n,n-1) designs with multiple extensions

(University of Canterbury. Dept. of Mathematics, 1978)

A 2-(2n+1,n,λ) design can always be extended to a 3-(2n+2,n+1,λ) design by complementation. If λ is large
enough there may.be other methods of extension. By
constructing non-self-complementary 3-(18,9,7) designs
...

#### On the non-existence of 5-(24,12,6) and 4-(23,11,6) designs

(University of Canterbury. Dept. of Mathematics, 1977)

It is shown that 5-(24,12,6) and 4-(23,11,6) designs cannot exist and that consequently a non-trivial
2-(2n+1,n,n-1) design can be extended to a 4-(2n+3,n+2,n-1)
design if and only if n=4.

#### Nonlinear wave groups in deep water

(University of Canterbury. Dept. of Mathematics, 1978)

Nonlinear wave groups in deep water consist of wave modes for which nonlinear interactions and dispersion are in balance. The
evolution equations for the wave modes are derived, and properties
of nonlinear wave groups ...

#### Efficient Coding of the Danzig-Wolfe Decomposition (Linear Programming) Algorithm

(University of Canterbury. Computer Science, 1978)

The Dantzig-Wolfe decomposition (linear programming) principle published in 1960 involves the solving of large-scale mathematical programming problems of particular structure. Large practical problems of this type typically ...

#### Diverging type-D metrics

(University of Canterbury. Dept. of Mathematics, 1977)

This paper contains an investigation of algebraically
special spaces with two commuting
Killing vectors. It is shown that
the field equations for these spaces
can be reduced to two ordinary
differential equations, ...

#### Nonlinear wave groups in deep water

(University of Canterbury. Dept. of Mathematics, 1978)

Nonlinear wave groups in deep water consist of wave modes for which nonlinear interactions and dispersion are in balance. The
evolution equations for the wave modes are derived, and properties
of nonlinear wave groups ...

#### The degree of monotone approximation

(University of Canterbury. Dept. of Mathematics, 1977)

Jackson type theorems are obtained for generalized monotone
approximation. Let En , k(f) be the degree of approximation of f by nth
degree polynomials with kth derivative non-negative on[-~, \]. Then
for each k ~ 2 there ...