A method of " l ea rn ing from observat ion" la presented which s t ruc tu res a c o l l e c t i o n of ob jecta i n t o h ie ra rch ies of subcategor ies, such tha t each subcategory la character ised by a con junct ive d e s c r i p t i o n i nvo l v i ng r e l a t i o n s on selected ob ject a t t r i b u t e s . The conjunct ive descr ip t ions sprout ing from each node are mutual ly d i s ...

The Hamiltonian potentials of the bending deformations of n-gons in E 3 studied in KM] and Kly] give rise to a Hamiltonian action of the Malcev Lie algebra P n of the pure braid group P n on the moduli space M r of n-gon linkages with the side-lengths r = (r 1 ; :::; r n) in E 3. If e 2 M r is a singular point we may linearize the vector elds in P n at e. This linearization yields a at connecti...

This paper demonstrates how standard cluster algorithms likeK-means or partitioning around medoids can be modified such that the final solution fulfills group constraints, which specify that certain data points must be or may not be in the same cluster. An extensible software implementation for the R statistical computing environment is presented that allows user-specified group constraints for...

We describe a novel method of obtaining a fixation point on a moving object f o r a real-time gaze contml sys tem. The method makes use of a real-time implementat ion of a corner detector and tracker and recons tructs the image posi t ion of the desired fixation point from a cluster of corners detected on the object using the affine structure available f r o m t w o or three views. The method i...

By the Mordell-Weil theorem the group of Q(z)-rational points of an elliptic curve is finitely generated. It is not known whether the rank of this group can get arbitrary large as the curve varies. Mestre and Nagao have constructed examples of elliptic curves E with rank at least 13. In this paper a method is explained for finding a 14th independent point on E, which is defined over k(z), with ...

Brucellosis is an infectious bacterial zoonosis of public health and economic significance. In this paper, a mathematical model describing the propagation of bovine brucellosis within cattle population is formulated. Model analysis is carried out to obtain and establish the stability of the equilibrium points. A threshold parameter referred to as the basic reproduction number $mathcal{R}_{0}$ i...

Given a set L of n points in the d-dimensional Cartesian space E d , and a query specifying a domain q in E d , the Range Search problem consists in identifying the subset R(q) of the points of L contained in q. The Range Tree data-structure represents a particularly good balance between storage space and search time. The structure requires O(n log d?1 n) space and construction time, but suppor...

In this note we prove the following special case of Serre’s conjecture on Intersection Multiplicity: Let (R,m) be a regular local ring and let P , Q be two prime ideals such that (R/(P + Q)) < ∞, dimR/P + dimR/Q = dimR and dimension of Gm(R/P ) ⊗Gm(R) Gm(R/Q) < 2. Then χ(R/P, R/Q) ≥ em(R/P )em(R/Q); here em(T ) denotes the Hilbert-Samuel multiplicity for any finitely generated module T with res...