Richard P. Lewis

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An identity of F.H. Jackson is used to derive new partition generating functions and related identities. §1 Introduction In the study of the theory of partitions, we often consider infinite product generating functions. This is perhaps epitomised in the study of partition ideals of order 1 (cf. [2, pp.124-128]). In every previous instance, the factors in(More)
This paper reports some experiments which assess the potential use of a footstep biometric verification system for a smart home environment. We present a semi-automatic capture system and report results on a database with independent development and evaluation datasets comprised of more than 3500 footsteps collected from 55 persons. We present an(More)
This paper reports some experiments concerned with footsteps as a biometric. We present a comparison between different feature extraction techniques as well as classification methods, obtaining the best results with holistic feature extraction and a support vector machine (SVM) classi-fier. Results are reported in terms of detection error trade-off (DET)(More)
The BioSecure Network of Excellence 1 has collected a large multi-biometric publicly available database and organized the BioSecure Multimodal Evaluation Campaigns (BMEC) in 2007 2. This paper reports on the Talking Faces campaign. Open source reference systems were made available to participants and four laboratories submitted executable code to the(More)
This study evaluated the sex differences in maximum 3-dimensional opening and closing movements. The sample included 29 men (ages, 23-39 years) and 27 women (ages, 23-35 years), who were selected for normal Class I occlusion, temporomandibular function, and skeletal patterns. Condylar (hinge axis) translation and mandibular incisor movements, were recorded(More)
This paper reports some experiments which assess the potential of footsteps as a biometric. We present a semi-automatic capture system and report results on a database with independent development and evaluation datasets comprised of more than 3000 footsteps collected from 41 persons. We present an optimisation of geometric and holistic features extraction(More)
This paper is devoted to the study of a new class of partitions , partitions with designated summands. In such partitions, among those parts of the same magnitude one is tagged or designated. The resulting partition functions are related to several classical ordinary partition functions. Also they have many interesting divisibility properties and satisfy(More)