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Now showing items 7612-7631 of 14831
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The LIDS Research Project: usability study report (1/2002)
(University of Waikato, Department of Computer Science, 2002-07)This report represents the University of Waikato Usability Laboratory’s (Usability Laboratory) analysis of the Large Interactive Display Screen (LIDS) technologies as developed by the LIDS Research Group. The Usability ... -
Lie theory and separation of variables. 10. Nonorthogonal R-separable solutions of the wave equation ∂ttψ=∆2ψ
(1976-03)We classify and discuss the possible nonorthogonal coordinate systems which lead to R-separable solutions of the wave equation. Each system is associated with a pair of commuting operators in the symmetry algebra so(3,2) ... -
Lie theory and separation of variables. 11. The EPD equation
(1976-03)We show that the Euler–Poisson–Darboux equation {∂tt -∂rr – [(2m+1)/r]∂r}Ө=0 separates in exactly nine coordinate systems corresponding to nine orbits of symmetric second-order operators in the enveloping algebra of ... -
Lie theory and separation of variables. 3. The equation ftt−fss =γ2f
(1974-07)Kalnins has related the 11 coordinate systems in which variables separate in the equation ftt−fss = γ 2f to 11 symmetric quadratic operators L in the enveloping algebra of the Lie algebra of the pseudo-Euclidean group in ... -
Lie theory and separation of variables. 5. The equations iUt + Uxx = 0 and iUt + Uxx −c/x2 U = 0
(1974-10)A detailed study of the group of symmetries of the time-dependent free particle Schrödinger equation in one space dimension is presented. An orbit analysis of all first order symmetries is seen to correspond in a well-defined ... -
Lie theory and separation of variables. 6. The equation iUt + ∆2U = 0
(1975-03)This paper constitutes a detailed study of the nine−parameter symmetry group of the time−dependent free particle Schrödinger equation in two space dimensions. It is shown that this equation separates in exactly 26 coordinate ... -
Lie theory and separation of variables. 7. The harmonic oscillator in elliptic coordinates and Ince polynomials
(1975-03)As a continuation of Paper 6 we study the separable basis eigenfunctions and their relationships for the harmonic oscillator Hamiltonian in two space variables with special emphasis on products of Ince polynomials, the ... -
Lie theory and separation of variables. 8. Semisubgroup coordinates for Ψtt - ∆2Ψ = 0
(1975-12)We classify and study all coordinate systems which permit R-separation of variables for the wave equation in three space–time variables and such that at least one of the variables corresponds to a one-parameter symmetry ... -
Lie theory and separation of variables. 9. Orthogonal R-separable coordinate systems for the wave equation ψtt-∆2ψ=0
(1976-03)A list of orthogonal coordinate systems which permit R-separation of the wave equation ψtt-∆2ψ=0 is presented. All such coordinate systems whose coordinate curves are cyclides or their degenerate forms are given. In each ... -
Lie theory and the wave equation in space-time. 5. R-separable solutions of the wave equation ψtt-Δ3ψ = 0
(1977)A detailed classification is made of orthogonal coordinate systems for which the wave equation ψtt - Δ3ψ = 0 admits an R -separable solution. Only those coordinate systems are given which are not conformally equivalent to ... -
Lie theory and the wave equation in space–time. 3. Semisubgroup coordinates
(1977-02)We classify and study those coordinate systems which permit R separation of variables for the wave equation in four-dimensional space–time and such that at least one of the variables corresponds to a one-parameter symmetry ... -
Lie theory and the wave equation in space–time. 5. R-separable solutions of the wave equation ψtt-∆3ψ=0
(1978-06)A detailed classification is made of all orthogonal coordinate systems for which the wave equation ψtt-∆3ψ=0 admits an R-separable solution. Only those coordinate systems are given which are not conformally equivalent to ... -
Life after Stroke: A Comparative Study
(University of Waikato, 2012)Stroke is a chronic illness and is the leading cause of disability globally in the adult population. The effects of stroke are wide ranging and impact on the stroke survivor’s daily functioning and quality of life. To date, ... -
The Life and Letters of the Lady Arbella Stuart
(University of Waikato, 2010)Lady Arbella Stuart, a woman nearly forgotten in history and literature and yet a woman who lived a full and exciting life which is well documented in her letters to her family, friends and royalty (both Queen Elizabeth I ... -
Life as a Carded Athlete
(University of Waikato, 2014)In 2001 the Ministerial Taskforce for Sport, Leisure and Fitness presented the Graham Report to the New Zealand government. The authors of this document had been invited to assess the state of sport within New Zealand and ... -
Life expectancy reductions from New Zealand's unbalanced Covid response
(2021)Safety-at-all-costs approaches may perversely increase mortality if indirect effects from lower incomes outweigh direct effects of the safety intervention. New Zealand’s output in 2020 was five percent less than expected, ... -
Life form and water source interact to determine active time and environment in cryptogams: an example from the maritime Antarctic
(Springer, 2013)Antarctica, with its almost pristine conditions and relatively simple vegetation, offers excellent opportunities to investigate the influence of environmental factors on species performance, such information being crucial ...
