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2009

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Articles 5281 - 5310 of 7615

Full-Text Articles in Physical Sciences and Mathematics

Archaeobotany In Australia And New Guinea: Practice, Potential And Prospects, Tim Denham, Jennifer M. Atchison, Jeremy Austin, Sheahan Bestel, Doreen Bowdery, Alison Crowther, Nic Dolby, Andrew Fairbairn, Judith Field, Amanda Kennedy, Carol Lentfer, Carney Matheson, Sue Nugent, Jeff Parr, Matiu Prebble, Gail Robertson, Jim Specht, Robin Torrence, Huw Barton, Richard L. Fullagar, Simon Haberle, Mark Horrocks, Tara Lewis, Peter Matthews Jan 2009

Archaeobotany In Australia And New Guinea: Practice, Potential And Prospects, Tim Denham, Jennifer M. Atchison, Jeremy Austin, Sheahan Bestel, Doreen Bowdery, Alison Crowther, Nic Dolby, Andrew Fairbairn, Judith Field, Amanda Kennedy, Carol Lentfer, Carney Matheson, Sue Nugent, Jeff Parr, Matiu Prebble, Gail Robertson, Jim Specht, Robin Torrence, Huw Barton, Richard L. Fullagar, Simon Haberle, Mark Horrocks, Tara Lewis, Peter Matthews

Faculty of Science - Papers (Archive)

Archaeobotany is the study of plant remains from archaeological contexts. Despite Australasian research being at the forefront of several methodological innovations over the last three decades, archaebotany is now a relatively peripheral concern to most archaeological projects in Australia and New Guinea. In this paper, many practicing archaeobotanists working in these regions argue for a more central role for archaeobotany in standard archaeological practice. An overview of archaeobotanical techniques and applications is presented, the potential for archaeobotany to address key historical research questions is indicated, and initiatives designed to promote archaeobotany and improve current practices are outlined.


Differences In Soft-Sediment Macrobenthic Assemblages Invaded By Caulerpa Taxifolia Compared To Uninvaded Habitats, Justin G. Mckinnon, Paul E. Gribben, Andrew R. Davis, Dianne F. Jolley, Jeffrey T. Wright Jan 2009

Differences In Soft-Sediment Macrobenthic Assemblages Invaded By Caulerpa Taxifolia Compared To Uninvaded Habitats, Justin G. Mckinnon, Paul E. Gribben, Andrew R. Davis, Dianne F. Jolley, Jeffrey T. Wright

Faculty of Science - Papers (Archive)

Caulerpa taxifolia is a habitat-forming green alga that has invaded several temperate regions worldwide. Although C. taxifolia covers large areas of soft-sediment habitat, little is known about its effects on soft-sediment invertebrate assemblages. We compared soft-sediment macroinvertebrate assemblages in 2 estuaries in southeastern Australia invaded by C. taxifolia to examine 2 main predictions: (1) areas covered with C. taxifolia will have different assemblages compared to unvegetated sediment because infauna are inhibited but epifauna are facilitated, and (2) areas with C. taxifolia will have different assemblages compared to those with native seagrasses (Halophila ovalis and Zostera capricorni) because infauna are inhibited …


The Effect Of Bacteria On The Sensitivity Of Microalgae To Copper In Laboratory Bioassays, Jacqueline Levy, Jenny L. Stauber, Steven A. Wakelin, Dianne F. Jolley Jan 2009

The Effect Of Bacteria On The Sensitivity Of Microalgae To Copper In Laboratory Bioassays, Jacqueline Levy, Jenny L. Stauber, Steven A. Wakelin, Dianne F. Jolley

Faculty of Science - Papers (Archive)

Although single-species laboratory toxicity tests with microalgae are sensitive and highly reproducible, they lack environmental realism. Interactions between algae and their associated bacteria, either in the plankton or in biofilms, may alter algal sensitivity to contaminants, which are not mimicked in laboratory toxicity tests. This study investigated the effects of simple algal-bacterial relationships on the sensitivity of laboratory-cultured algae to copper using 72-h algal growth-rate inhibition bioassays. Four species of microalgae were used, two isolates of each; a strain of algae with no microscopically visible and no culturable bacteria present (operationally defined as axenic) and a non-axenic strain. The four …


An Efficient Certificateless Encryption Scheme In The Standard Model, Hua Guo, Xiyong Zhang, Yi Mu, Zhoujun Li Jan 2009

An Efficient Certificateless Encryption Scheme In The Standard Model, Hua Guo, Xiyong Zhang, Yi Mu, Zhoujun Li

Faculty of Informatics - Papers (Archive)

We propose an efficient certificateless public key encryption (CL-PKE) scheme which is provably secure against chosen ciphertext attacks without random oracles. Our scheme is more computationally efficient than the existing schemes and provides the shortest public key length compared to other existing CL-PKEs with random oracles. We also propose a practical self-generated-certificate encryption (SGC-PKE) scheme based on our CL-PKE scheme. One of merits of such cryptographic systems is that it can be applied to countermeasure "Denial-of-Decryption (DoD) Attacks" that is inherent in CL-PKE.


Inverse Function Analysis Method For Fringe Pattern Profilometry, Y. Hu, Jiangtao Xi, Joe F. Chicharo, Wenqing Cheng, Zongkai Yang Jan 2009

Inverse Function Analysis Method For Fringe Pattern Profilometry, Y. Hu, Jiangtao Xi, Joe F. Chicharo, Wenqing Cheng, Zongkai Yang

Faculty of Informatics - Papers (Archive)

In this paper, we present a mathematical model that describes a general relationship between the projected signal and the deformed signal in fringe pattern profilometry (FPP) systems. The derived mathematical model proves that in theory any kind of fringe pattern could be utilized for profilometry. Based on the derived mathematical model, this paper also proposes a new algorithm, referred to as inverse function analysis (IFA) method, to reconstruct 3-D surfaces using the FPP technique. Compared with traditional methods, our algorithm has neither the requirement for the structure of projected fringe patterns nor the prior knowledge of the distortion characteristics of …


Process Seer: A Tool For Semantic Effect Annotation Of Business Process Models, Kerry G. Hinge, Aditya K. Ghose, George Koliadis Jan 2009

Process Seer: A Tool For Semantic Effect Annotation Of Business Process Models, Kerry G. Hinge, Aditya K. Ghose, George Koliadis

Faculty of Informatics - Papers (Archive)

A key challenge in devising solutions to a range of problems associated with business process management: process life cycle management, compliance management, enterprise process architectures etc. is the problem of identifying process semantics. The current industry standard business process modeling notation, BPMN, provides little by way of semantic description of the effects of a process (beyond what can be conveyed via the nomenclature of tasks and the decision conditions associated with gateways). In this paper, we describe the conceptual underpinnings, design, implementation and evaluation of the process SEER tool that supports several strategies for obtaining semantic effect descriptions of BPMN …


Identification And Prioritization Of Variables That Influence Learning Content Development In E-Learning Platforms, Zhengui Wu, Parviz Doulai Jan 2009

Identification And Prioritization Of Variables That Influence Learning Content Development In E-Learning Platforms, Zhengui Wu, Parviz Doulai

Faculty of Informatics - Papers (Archive)

E-Learning is widely used to facilitate and enhance learning in higher education. For developing any e-learning program, direct and indirect costs associated with digital learning content should be measured. Normally, over 60% of total e-learning costs are spent on design, development, publication and evaluation of learning content. However, the rapid growth of high quality digital content has become a challenge to tertiary education institutions. This paper discusses the employment of new technology known as learning objects for creating cost effective learning content. By investigating essential factors that affect learning content development, variables influencing the development cost are identified. Identified variables …


Ddos Defense Using Tcp_Ip Header Analysis And Proactive Tests, Zhen Ye, Weiwei Shi, Dayong Ye Jan 2009

Ddos Defense Using Tcp_Ip Header Analysis And Proactive Tests, Zhen Ye, Weiwei Shi, Dayong Ye

Faculty of Informatics - Papers (Archive)

To defend against distributed denial of service (DDoS) attacks, one critical issue is to effectively isolate the attack traffic from the normal ones. A novel DDoS defense scheme based on TCP_IP Header Analysis and Proactive Tests (THAPT) is hereby proposed. Unlike most of the previous DDoS defense schemes that are passive in nature, the proposal uses proactive tests to identify and isolate the malicious traffic. Simulation results validate the effectiveness of our proposed scheme.


Room Temperature Multiferroic Properties Of Nd: Bifeo3/Bi2femno6 Bilayered Films, Hongyang Zhao, Hideo Kimura, Zhenxiang Cheng, Xiaolin Wang, Takashi Nishida Jan 2009

Room Temperature Multiferroic Properties Of Nd: Bifeo3/Bi2femno6 Bilayered Films, Hongyang Zhao, Hideo Kimura, Zhenxiang Cheng, Xiaolin Wang, Takashi Nishida

Australian Institute for Innovative Materials - Papers

Nd0.1Bi0.9FeO3 /Bi2FeMnO6 bilayered films were deposited on Pt/Ti/SiO2 / Si substrate by pulsed laser deposition method. BiFeO3 is antiferromagnet while BiMnO3 is ferromagnet, the ordering of –Mn–O–Fe–O–Mn– is expected, which will induce the ferromagnetic interation in the film. The film shows typical ferromagnetic properties with the transition temperature of Tc of 440 K. The room temperature (RT) ferroelectric polarization was also observed, suggesting that the film is a promising RT multiferroism.


Uberveillance: Microchipping People And The Assault On Privacy, M. G. Michael, Katina Michael Jan 2009

Uberveillance: Microchipping People And The Assault On Privacy, M. G. Michael, Katina Michael

Faculty of Informatics - Papers (Archive)

Uberveillance is above and beyond, an exaggerated, and omnipresent 24/7 electronic surveillance. It is a surveillance that is not only always on but always with you. It is ever-present because the technology that facilitates it, in its ultimate implementation, is embedded within the human body. The inherent problem with this kind of bodily pervasive surveillance is that omnipresence will not always equate with omniscience. Infallibility and ambient context will be for the greater part absent. For as Marcus Wigan has pithily put it, “context is all.” Hence the real concern for misinformation, misinterpretation, and information manipulation of citizens’ data.


Removing The Angst From Statistics, N. Baharun, A. Porter Jan 2009

Removing The Angst From Statistics, N. Baharun, A. Porter

Faculty of Informatics - Papers (Archive)

This paper presents the results of a case study investigating the use of video resources in teaching statistics proven to have their impact on student learning outcomes which positively affect the student understanding of topics and reduce students’ anxiety. A two-way ANOVA is utilized to analyze the sample data from forty postgraduate students in the Health Informatics at University of Wollongong. The findings from the study show that male students are significantly more confident in their understanding of statistics topics e.g. writing meaningful paragraphs about variables (p=0.014, F=6.684), producing and interpreting scatter plots and correlations (p=0.007, F=8.388); and less anxious …


A New Class Of Fully Nonlinear Curvature Flows, James A. Mccoy Jan 2009

A New Class Of Fully Nonlinear Curvature Flows, James A. Mccoy

Faculty of Informatics - Papers (Archive)

This article is about contraction by fully nonlinear curvature flows of convex hypersurfaces. As with previously considered flows, including the quasilinear mean curvature flow and a broad class of fully nonlinear curvature flows, solutions exist for a finite time and contract to a point. As with some other flows, including the mean curvature flow, a smaller class of fully nonlinear flows and the Gauss curvature flow for surfaces, under a suitable rescaling the solutions converge exponentially to spheres. We provide an introduction to the study of curvature flow of hypersurfaces with extensive references to most of the main areas of …


Crossed Products Of K-Graph C*-Algebras By Zl, Cyntyhia Farthing, David Pask, Aidan Sims Jan 2009

Crossed Products Of K-Graph C*-Algebras By Zl, Cyntyhia Farthing, David Pask, Aidan Sims

Faculty of Informatics - Papers (Archive)

An action of Zl by automorphisms of a k-graph induces an action of Zl by automorphisms of the corresponding k-graph C*-algebra. We show how to construct a (k + l)-graph whose C*-algebra coincides with the crossed product of the original k-graph C)-algebra by Zl. We then investigate the structure of the crossed-product C*-algebra.


Characterising The Behaviour Of Ieee 802.11 Broadcast Transmissions In Ad Hoc Wireless Lans, Mehran Abolhasan, Farzad Safaei, Jerry Chun-Ping Wang, Daniel R. Franklin Jan 2009

Characterising The Behaviour Of Ieee 802.11 Broadcast Transmissions In Ad Hoc Wireless Lans, Mehran Abolhasan, Farzad Safaei, Jerry Chun-Ping Wang, Daniel R. Franklin

Faculty of Informatics - Papers (Archive)

This paper evaluates the performance of the IEEE 802.11 broadcast traffic under both saturation and nonsaturation conditions. The evaluation highlights some important characteristics of IEEE 802.11 broadcast traffic as compared to corresponding unicast traffic. Moreover, it underlines the inaccuracy of the broadcast saturation model proposed by Ma and Chen due to the absence of backoff counter freeze process when channel is busy. Computer simulations are used to validate the accuracy of the new model and demonstrate the importance of capturing the freezing of backoff counter in the analytical study of IEEE 802.11 broadcast.


Is Solution For The Global Environmental Challenge: An Australian Initiative, Trevor A. Spedding, Aditya K. Ghose, Helen M. Hasan Jan 2009

Is Solution For The Global Environmental Challenge: An Australian Initiative, Trevor A. Spedding, Aditya K. Ghose, Helen M. Hasan

Faculty of Informatics - Papers (Archive)

There is a complex range of interrelated environmental issues that currently challenge decision-makers across the world. To date the reputation of the information and communication technology (ICT) industry in Australia, and elsewhere, has been quite negative with respect to its effect on the environment. The recent "Green IT" initiatives of the Australian Computer Society to reduce carbon emission are manifestations of this. While not denying the worth of this agenda, the authors of this paper suggest that it is timely to promote a more positive position for ICT as a source of solutions to environmental problems. In this paper, we …


Vehicle Tracking Using Projective Particle Filter, Azeddine Beghdadi, Philippe Bouttefroy, Son Lam Phung, Abdesselam Bouzerdoum Jan 2009

Vehicle Tracking Using Projective Particle Filter, Azeddine Beghdadi, Philippe Bouttefroy, Son Lam Phung, Abdesselam Bouzerdoum

Faculty of Informatics - Papers (Archive)

This article introduces a new particle filtering approach for object tracking in video sequences. The projective particle filter uses a linear fractional transformation, which projects the trajectory of an object from the real world onto the camera plane, thus providing a better estimate of the object position. In the proposed particle filter, samples are drawn from an importance density integrating the linear fractional transformation. This provides a better coverage of the feature space and yields a finer estimate of the posterior density. Experiments conducted on traffic video surveillance sequences show that the variance of the estimated trajectory is reduced, resulting …


A Simulation Study On The Energy Efficiency Of Pure And Slotted Aloha Based Rfid Tag Reading Protocols, Alejandro Ruiz-Rivera, Dheeraj Klair, Kwan-Wu Chin Jan 2009

A Simulation Study On The Energy Efficiency Of Pure And Slotted Aloha Based Rfid Tag Reading Protocols, Alejandro Ruiz-Rivera, Dheeraj Klair, Kwan-Wu Chin

Faculty of Informatics - Papers (Archive)

This paper studies the energy efficiency of twelve Pure and Slotted Aloha tag reading protocol variants via simulation. We compare their energy consumption in three collision resolution phases: 1) success, 2) collision, and 3) idle. Our extensive simulation results show that Pure Aloha with fast mode and muting has the lowest energy consumption, and hence is most suited for deployment in energy-constrained environments.


Routing Metric For Multi-Interface And Power-Aware Nodes In Heterogenous Manets, Huda Mubarak Al Amri, Mehran Abolhasan, Tadeusz A. Wysocki Jan 2009

Routing Metric For Multi-Interface And Power-Aware Nodes In Heterogenous Manets, Huda Mubarak Al Amri, Mehran Abolhasan, Tadeusz A. Wysocki

Faculty of Informatics - Papers (Archive)

This paper presents heterogeneity ratio (HR) as a new routing metric for heterogeneous MANETs. This metric is the ratio of number of powerful nodes to hop count that is used to select the best path to destination. Node heterogeneity is modeled in terms of: types and number of different interfaces, power, and transmission ranges. Our proposed routing metric is based on developing route discovery algorithm that is implemented on the top of on-demand tree-based routing protocol (OTRP)[2] to accommodate nodes heterogeneity. Simulation results show that using HR with OTRP heterogeneity aware outperforms other metrics like minimal hop count and maximal …


Formal Concept Analysis For An E-Learning Semantic Web, Ghassan Beydoun Jan 2009

Formal Concept Analysis For An E-Learning Semantic Web, Ghassan Beydoun

Faculty of Informatics - Papers (Archive)

We capture student interactions in an e-learning community to construct a semantic web (SW) to create a collective meta-knowledge structure guiding students as they search the existing knowledge corpus. We use formal concept analysis (FCA) as a knowledge acquisition tool to process the students virtual surfing trails to express and exploit the dependencies between web-pages to yield subsequent and more effective focused search results. We mirror social navigation and bypass the cumbersome manual annotation of webpages and at the same time paralleling social navigation for knowledge.

We present our system KAPUST2 (Keeper and Processor of User Surfing Trails) which constructs …


Strategies For Implementing A Converged Ict Regulator In Indonesia, Yudhistra Nughara, William Tibben Jan 2009

Strategies For Implementing A Converged Ict Regulator In Indonesia, Yudhistra Nughara, William Tibben

Faculty of Informatics - Papers (Archive)

This paper draws on a six month study that aimed to broadly clarify strategies for the IndonesianGovernment to address the issue of convergence. This paper reports on one aspect of this study thatmaps stakeholder policymaker opinions about a future converged regulator in Indonesia.Convergence refers to a trend in regulation that seeks to define a single regulatory structure fortelecommunications, broadcasting and information technology. In particular, the specific aims ofthis study were to examine regulatory structures with regard to two parameters derived from theInternational Telecommunications Union (ITU): the level of independence, and institutional design.Using benchmarking as a method, three case studies of …


The Development Of Taiwanese Electronic Medical Record Systems Evaluation Instrument, Y.Y. Su, Khin Than Win, Herng-Chia Chiu Jan 2009

The Development Of Taiwanese Electronic Medical Record Systems Evaluation Instrument, Y.Y. Su, Khin Than Win, Herng-Chia Chiu

Faculty of Informatics - Papers (Archive)

This study used Item Analysis, Exploratory Factor Analysis (EFA) and Reliability Analysis (Cronbach’s α value) to exam the Questions which selected by the Delphi method based on the issue of “Socio-technical system (STS)” and user-centered perspective. A structure questionnaire with seventy-four questions which could be categorized into nine dimensions (healthcare environment, organization behaviour, system quality, medical data quality, service quality, safety quality, user usage, user satisfaction, and organization net benefits) was provided to evaluate EMR of the Taiwanese healthcare environment.


Ant Inspired Scalable Peer Selection In Ontology-Based Service Composition, Shuai Yuan, Jun Shen, Aneesh Krishna Jan 2009

Ant Inspired Scalable Peer Selection In Ontology-Based Service Composition, Shuai Yuan, Jun Shen, Aneesh Krishna

Faculty of Informatics - Papers (Archive)

This work focuses on proposing a method of effectively dealing with P2P-based service selection and composition, especially when handling a large number of peers along with their diverse qualities. The QoS-aware peer selection is one of the major challenges faced in order to guarantee the success and enhance performance of distributed computing. Since many peer candidates provide overlapping or identical functionalities, though with different QoS evaluations, selections need to be rapidly conducted to determine which peers are suitable to join in the requested composite service. The main contribution of this paper is proposing a P2P-based service selection model, in which …


Proper Actions Which Are Not Saturated, Damian Marelli, Iain F. Raeburn Jan 2009

Proper Actions Which Are Not Saturated, Damian Marelli, Iain F. Raeburn

Faculty of Informatics - Papers (Archive)

If a locally compact group G acts properly on a locally compact space X, then the induced action on C0(X) is proper in the sense of Rieffel, with generalised fixed-point algebra C0(G\X). Rieffel’s theory then gives a Morita equivalence between C0(G\X) and an ideal I in the crossed product C0(X) × G; we identify I by describing the primitive ideals which contain it, and we deduce that I = C0(X)×G if and only if G acts freely. We show that if a discrete group G acts on a directed graph E and every vertex of E has a finite stabiliser, …


Application Of 3d Zernike Descriptors To Shape-Based Ligand Similarity Searching, Vishwesh Venkatraman, Padmasini Ramji Chakravarthy, Daisuke Kihara Jan 2009

Application Of 3d Zernike Descriptors To Shape-Based Ligand Similarity Searching, Vishwesh Venkatraman, Padmasini Ramji Chakravarthy, Daisuke Kihara

Department of Biological Sciences Faculty Publications

Background

The identification of promising drug leads from a large database of compounds is an important step in the preliminary stages of drug design. Although shape is known to play a key role in the molecular recognition process, its application to virtual screening poses significant hurdles both in terms of the encoding scheme and speed.

Results

In this study, we have examined the efficacy of the alignment independent three-dimensional Zernike descriptor (3DZD) for fast shape based similarity searching. Performance of this approach was compared with several other methods including the statistical moments based ultrafast shape recognition scheme (USR) and SIMCOMP, …


Radiocarbon Date List Xi: Radiocarbon Dates From Marine Sediment Cores Of The Iceland, Greenland, And Northeast Canadian Arctic Shelves And Nares Strait, U. Quillmann, J.T. Andrews, A.E. Jennings, J. Bendle, H. Jonsdottir, G.B. Kristjansdottir, J. Lloyd, S. Olafsdottir, Sarah M. Principato Jan 2009

Radiocarbon Date List Xi: Radiocarbon Dates From Marine Sediment Cores Of The Iceland, Greenland, And Northeast Canadian Arctic Shelves And Nares Strait, U. Quillmann, J.T. Andrews, A.E. Jennings, J. Bendle, H. Jonsdottir, G.B. Kristjansdottir, J. Lloyd, S. Olafsdottir, Sarah M. Principato

Environmental Studies Faculty Publications

Radiocarbon Date List XI contains an annotated listing of 178 AMS radiocarbon dates on samples from marine (169 samples) and lake (9 samples) sediment cores. Marine sediment cores, from which the samples for dating were taken, were collected on the Greenland Shelf, Baffin Bay, and the Eastern Canadian Arctic shelf. About 80% of the marine samples for dating were collected on the SW to N Icelandic shelf. The lake sediment cores were collected in northwestern Iceland. For dating of the marine samples, we submitted molluscs (117 samples), benthic and planktic foraminifera (45 samples), plant macrofauna (3 samples), and one serpulid …


Using Gis To Quantify Patterns Of Glacial Erosion On Northwest Iceland: Implications For Independent Ice Sheets, Sarah M. Principato, Jeremiah S. Johnson Jan 2009

Using Gis To Quantify Patterns Of Glacial Erosion On Northwest Iceland: Implications For Independent Ice Sheets, Sarah M. Principato, Jeremiah S. Johnson

Environmental Studies Faculty Publications

Glacial erosion patterns on northwest Iccliind are quantified using a Geographic Information System (GIS) in order to interpret subglacial characteristics of part of northwest Iceland affected by ice sheet glaciation. Ice scour lake density is used as a proxy for glacial erosion. Erosion classes are interpreted from variations in the density of lake basins. Lake density was calculated using two dilTerent methods: the first is sensitive to the total number of lakes in a specific area, and the second is sensitive to total lake area in a specific area. Both of these methods result in a value for lake density, …


Some More Identities Of Rogers-Ramanujan Type, Douglas Bowman, James Mclaughlin, Andrew Sills Jan 2009

Some More Identities Of Rogers-Ramanujan Type, Douglas Bowman, James Mclaughlin, Andrew Sills

Mathematics Faculty Publications

In this we paper we prove several new identities of the Rogers-Ramanujan-Slater type. These identities were found as the result of computer searches. The proofs involve a variety of techniques, including series-series identities, Bailey pairs, a theorem of Watson on basic hypergeometric series, generating functions and miscellaneous methods.


Lifting Bailey Pairs To Wp-Bailey Pairs, James Mclaughlin, Andrew Sills, Peter Zimmer Jan 2009

Lifting Bailey Pairs To Wp-Bailey Pairs, James Mclaughlin, Andrew Sills, Peter Zimmer

Mathematics Faculty Publications

A pair of sequences (αn(a,k,q),βn(a,k,q)) such that α0(a,k,q)=1 and βn(a,k,q)=∑nj=0(k/a;q)n−j(k;q)n+j(q;q)n−j(aq;q)n+jαj(a,k,q) is termed aWP-Bailey Pair . Upon setting k=0 in such a pair we obtain a Bailey pair. In the present paper we consider the problem of “lifting” a Bailey pair to a WP-Bailey pair, and use some of the new WP-Bailey pairs found in this way to derive some new identities between basic hypergeometric series and new single-sum and double-sum identities of the Rogers–Ramanujan–Slater type.


Combinatorics Of Ramanujan-Slater Type Identities, James Mclaughlin, Andrew Sills Jan 2009

Combinatorics Of Ramanujan-Slater Type Identities, James Mclaughlin, Andrew Sills

Mathematics Faculty Publications

We provide the missing member of a family of four q-series identities related to the modulus 36, the other members having been found by Ramanujan and Slater. We examine combinatorial implications of the identities in this family, and of some of the identities we considered inIdentities of the Ramanujan-Slater type related to the moduli 18 and 24.


Rogers-Ramanujan Computer Searches, James Mclaughlin, Andrew Sills, Peter Zimmer Jan 2009

Rogers-Ramanujan Computer Searches, James Mclaughlin, Andrew Sills, Peter Zimmer

Mathematics Faculty Publications

We describe three computer searches (in PARI/GP, Maple, and Mathematica, respectively) which led to the discovery of a number of identities of Rogers–Ramanujan type and identities of false theta functions.