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Articles 1 - 12 of 12

Full-Text Articles in Physical Sciences and Mathematics

A Robust-Resistant Spatial Analysis Of Soil Water Infiltration., Noel A. Cressie, R Horton Jan 1987

A Robust-Resistant Spatial Analysis Of Soil Water Infiltration., Noel A. Cressie, R Horton

Faculty of Informatics - Papers (Archive)

Concentrates on estimating the spatial correlations between soil water infiltration observations, with special emphasis on resistant methods to remove nonstationarity. After this removal, robust semivariogram estimators are used to examine the spatial dependencies for various tillage treatments. There is some indication that infiltration characteristics inherit different types of spatial dependency, depending on the tillage treatment applied.-from Authors


Random Set Theory And Problems Of Modeling, Noel A. Cressie, G M. Laslett Jan 1987

Random Set Theory And Problems Of Modeling, Noel A. Cressie, G M. Laslett

Faculty of Informatics - Papers (Archive)

The three- or four-dimensional world in which we live is full of objects to be measured and summarized. Very often a parsimonious finite collection of measurements is enough for scientific investigation into an object’s genesis and evolution. There is a growing need, however, to describe and model objects through their form as well as their size. The purpose of this article is to show the potentials and limitations of a probabilistic and statistical approach. Collections of objects (the data) are assimilated to a random set (the model), whose parameters provide description and/or explanation.


Coloured Designs, New Group Divisible Designs And Pairwise Balanced Designs, C A. Rodger, Dinesh G. Sarvate, Jennifer Seberry Jan 1987

Coloured Designs, New Group Divisible Designs And Pairwise Balanced Designs, C A. Rodger, Dinesh G. Sarvate, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

Many new families of group divisible designs, balanced incomplete block designs and pairwise balanced designs can be obtained by using constructions based on coloured designs (CD). This paper gives one such construction in each case together with an existence theorem for coloured designs.


Generalized Hadamard Matrices And Colourable Designs In The Construction Of Regular Gdds With Two And Three Association Classes, Jennifer Seberry Jan 1987

Generalized Hadamard Matrices And Colourable Designs In The Construction Of Regular Gdds With Two And Three Association Classes, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

Generalized Hadamard matrices and colourable designs are used to construct many new group divisible designs.


A Note On Orthogonal Designs, J Hammer, D G. Sarvate, Jennifer Seberry Jan 1987

A Note On Orthogonal Designs, J Hammer, D G. Sarvate, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

We extend a method of Kharaghani and obtain some new constructions for weighing matrices and orthogonal designs. In particular we show that if there exists an OD(s1,...,sr), where w = ∑si, of order n, then there exists an OD(s1w,s2w,...,8rw) of order n(n+k) for k ≥ 0 an integer. If there is an OD(t,t,t,t) in order n, then there exists an OD(12t,12t,12t,12t) in order 12n. If there exists an OD(s,s,s,s) in order 4s and an OD(t,t,t,t) in order 4t there exists an OD(12s²t,12s²t,12s²t,12s²t) in order 48s²t and an OD(20s²t,20s²t,20s²t20s²) in order 80s²t.


On Hadamard Matrices Of Order 2t Pq:I, Jennifer Seberry Jan 1987

On Hadamard Matrices Of Order 2t Pq:I, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

We prove a new result for orthogonal designs showing if all full orthogonal designs, OD (r; a, b, r - a - b), exist, where gcd(a, b, r - a - b) = 2t, then all full orthogonal designs, OD(s; c, d, s - c - d), exist, where gcd(c, d, s - c - d) = 2t+u, u ≥ 0. It is known that,for infinitely many numbers r = 2wp,such OD(r; a, b, r - a - b) exist. In particular we show OD(4; x, y, 4 - x - y), OD(24; x, y, 24 - x - y) …


Vanstone's Construction Applied To Bhaskar Rao Designs, Jennifer Seberry Jan 1987

Vanstone's Construction Applied To Bhaskar Rao Designs, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

We show how Vanstone's construction, given in his paper "A note on a construction for BIBD's", Utilitas Mathematica, 7(1975), 321-322, can be applied to symmetric GBRD(v, k, λ; │G│). │G│ odd, can be used to obtain GBRD(v, (v2), (k2), λ, (λ2); G) and hence many families of BIBD.


Electronic Funds Transfer Point Of Sale In Australia, Ralph Gyoery, Jennifer Seberry Jan 1987

Electronic Funds Transfer Point Of Sale In Australia, Ralph Gyoery, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

The Australia wide eftpos systems was developed by the Australian Retail Banks to meet Australian conditions including a small population, which overwhehningly uses cash for transactions, a small number of banks capable of "exchange of value" settlements and enormous distances. This paper discusses the system that has evolved first involving only ATM's and banks, then extending to POS systems for retailers and non bank fmancial institutions.


Public Key Cryptography, Jennifer Seberry Jan 1987

Public Key Cryptography, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

We are going to devote most of our attention in this talk to the RSA Public Key Cryptosystem because it not only remains unbroken but it has some other useful features for digital signatures and authentication. We will briefly mention some other methods which have been compromised to some degree, and one, McEliece's which has not, but which are still valid when both keys are kept secret and some have other features which may be useful.


Ff-Pade Method Of Model Reduction In Frequency Domain, H. Xiheng Jan 1987

Ff-Pade Method Of Model Reduction In Frequency Domain, H. Xiheng

Faculty of Informatics - Papers (Archive)

In this note the FF-Pade method based upon some new concepts in model reduction is presented. The new method will overcome the chief drawbacks of the current methods. Some typical examples are used to show convincingly that one has to break free from the conventional approaches in order to obtain better results in model reduction.


Constructing Hadamard Matrices Via Orthogonal Designs, Jennifer Seberry Jan 1987

Constructing Hadamard Matrices Via Orthogonal Designs, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

Orthogonal designs were created to give a unifying approach to the construction of Hadamard matrices. Recent work has been concerned with Hadamard matrices of order 2tpq, where t ≤ 5 and one of p and q is small. This paper obtains many new constructions for Hadamard matrices of such orders and works toward a more general construction theory.


A Construction For Orthogonal Designs With Three Variables, Jennifer Seberry Jan 1987

A Construction For Orthogonal Designs With Three Variables, Jennifer Seberry

Faculty of Informatics - Papers (Archive)

We show how orthogonal designs OD(48p²t;16p²t, 16p²t,16p²t) can be constructed from an Hadamard matrix of order 4p and an OD(4t;t,t,t,t). This allows us to assert that OD(48p²t; 16p²t,16p²t,16p²t) exist for all t,p ≤ 102 except possibly for tє{67,71,73,77,79,83,86,89,91,97}. These designs are new.