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  • On becoming a mathematician 
    Petocz Peter; Wood Leigh; Smith Geoff; Reid Anna (ICME 2004, 2004)
    In this paper, we report on our investigations of mathematics students' ideas about working as professionals in the mathematical sciences, and the impact that these ideas have on their learning of mathematics. Our ...
  • On Certain Polynomials of Even Subscripted Lucas Numbers 
    Melham Ray (Kluwer Academic Publishers, 1999)
  • Photonic bandgap effects as a basis for novel compact devices 
    White Tom; Mcphedran Ross; De Sterke C; Asatryan Ara; Langtry Timothy; Botten Lindsay (COIN/ACOFT 2003, 2003)
    Photonic crystals offer the opportunity to design ultra-compact optical devices. Here we consider the "folded directional coupler," which combines elements of a directional coupler and a Fabry-Perot interferometer. This ...
  • Photonic Bandgaps in Woodpile Structures 
    Smith Geoff; Botten Lindsay; Mcphedran Ross; Nicorovici Nicolae (Australian Institute of Physics, 2002)
    Three-dimensional photonic band gap structures are the ultimate goal for photonic crystals as, unlike one and two-dimensional crystals, they provide for total confinement. One such configuration is the woodpile structure, ...
  • Photonic crystal based Mach-Zehnder interferometer 
    White Tom; De Sterke C; Mcphedran Ross; Botten Lindsay; Huang Tom (Australian National University, 2004)
  • Pick-up and delivery with time windows and due dates 
    Neame Philip; Carmody Georgina (University of Ballarat, 2004)
    We consider a variant on a pick-up and delivery problem with time windows, where both early and late delivery of items is penalized. This problem arises from an application in the area of defence, but has wider applications ...
  • Preemptive scheduling on parallel processors with due dates 
    Zinder Yakov; Singh Gaurav (Japan Society of Mechanical Engineers, 2004)
    A priority algorithm is presented for the maximum lateness problem with parallel identical processors, precedence constraints, and preemptions. The algorithm calculates a task's priority by constructing a schedule for ...
  • Pricing and hedging for incomplete jump diffusion benchmark models 
    Platen Eckhard (American Mathematical Society, 2004)
    This paper considers a class of incomplete financial market models with security price processes that exhibit intensity based jumps. The benchmark or numeraire is chosen to be the growth optimal portfolio. Portfolio ...
  • Pricing European and discretely monitored exotic options under the Levy process framework 
    Roberts Dale; Novikov Alex (Wolfram Research, 2005)
    We shall consider both European and discretely monitored Exotic options (Bermudan and Discrete Barrier) in a market where the underlying asset follows a Geometric Levy process. First we shall briefly introduce this ...
  • The profession entity: research the relationship between students' conceptions of learning and their future professions 
    Reid Anna; Petocz Peter (Oxford Centre for Staff & Learning Development, 2004)
  • Projects for advanced graduates 
    Mackisack Margaret; Petocz Peter (International Association for Statistics Education, 2002)
    This paper presents some issues arising in the use of unscripted consulting projects for final year undergraduate students. The issues relate to the context and difficulty of the projects, the supervisor's role, the ...
  • Propagation of Photonic Crystal Waveguides 
    Asatryan Ara; Langtry Timothy; Botten Lindsay; De Sterke C; Mcphedran Ross (Australian Institute of Physics, 2002)
    An essential component in the design and fabrication of large scale integrated optical circuits is the photonic crystal (PC) waveguide, a device which can channel light, with minimal loss, around tight bends using band ...
  • Pure pattern calculus 
    Jay Barry; Kesner D (Springer-Verlag, 2006)
    The pure pattern calculus generalises the pure lambda-calculus by basing computation on pattern-matching instead of beta-reduction. The simplicity and power of the calculus derive from allowing any term to be a pattern. ...
  • Quasi-Monte Carlo for finance beyond Black-Scholes 
    Baldeaux Jan (Australian Mathematical Scoiety, 2008)
    Quasi-Monte Carlo methods are used to approximate integrals of high dimensionality. However, if the problem under consideration is of unbounded dimensionality, it is not obvious if one can apply quasi-Monte Carlo methods ...
  • Quasi-Monte Carlo methods for derivatives on realised variance of an index under the benchmark approach 
    Baldeaux Jan; Chan Leung Lung; Platen Eckhard (Australian Mathematical Scoiety, 2011)
    We apply quasi-Monte Carlo methods to the pricing of derivatives on realised variance of an index under the benchmark approach. The resulting integration problem is shown to depend on the joint density of the realised ...
  • Risk assessment of strategies using total time on test transform 
    Zhao N; Lu Hai Yan; Song Yonghua (The Institute of Electrical and Electronic Engineers Inc (IEEE), 2006)
    This paper proposes a new approach to risk assessment of strategies based on the Total Time on Test (TTT) transform techniques. A new concept of risk of loss is introduced, whose value is determined by potential losses ...
  • Scheduling UET tasks on parallel machines: strength of priority algorithms 
    Zinder Yakov (Western Australian Centre of Excellence in Industrial Optimisation, Curtin University of Technology, 2005)
    The paper is concerned with the problem of scheduling a partially ordered set of unit execution time tasks on parallel identical machines in ordered to minimize the criterion of maximum lateness, which plays one of the ...
  • Scheduling UET-UCT tasks: branch-and-bound search in the priority space 
    Zinder Yakov; Singh Gaurav; Su Bo Liang Tim; Sorli Ronald (Universal Academy Press Inc, 2007)
  • A self-organising model for topology-aware overlay formation 
    Le Thi Hong Hanh; Hoang Doan; Simmonds Andrew (The Institute of Electrical and Electronic Engineers Inc (IEEE), 2005)
    One of the major weaknesses of existing peer-to-peer (P2P) networks is that their overlay structures do not correlate to the physical underlying network topology. As a result, the overlays waste network resources and ...
  • Statistical Foundations of Intelligent Technologies 
    Aboura Khalid (University of Technology, Sydney, 2007)
    Intelligent Technologies problems have one common element; uncertainty. Randomness, natural or created, is an important part of the engineering problems in Intelligent Technologies. Modeling it properly and dealing with ...