title: Laplace-type equations as conformal superintegrable systems

authors: Kalnins, Ernie G.

subjects: conformal superintegrability

abstract: We lay out the foundations of the theory of second order conformal superintegrable systems. Such systems are essentially Laplace equations on a manifold with an added potential: (Δn+V(x))Ψ=0. Distinct families of second order superintegrable Schrödinger (or Helmholtz) systems (Δ’n+V’(x) )Ψ=ΕΨ can be incorporated into a single Laplace equation. There is a deep connection between most of the special functions of mathematical physics, these Laplace conformally superintegrable systems and their conformal symmetry algebras. Using the theory of the Laplace systems, we show that the problem of classifying all 3D Helmholtz superintegrable systems with nondegenerate potentials, i.e., potentials with a maximal number of independent parameters, can be reduced to the problem of classifying the orbits of the nonlinear action of the conformal group on a 10-dimensional manifold.

text: Laplace-type equations as conformal superintegrable systems We lay out the foundations of the theory of second order conformal superintegrable systems. Such systems are essentially Laplace equations on a manifold with an added potential: (Δn+V(x))Ψ=0. Distinct families of second order superintegrable Schrödinger (or Helmholtz) systems (Δ’n+V’(x) )Ψ=ΕΨ can be incorporated into a single Laplace equation. There is a deep connection between most of the special functions of mathematical physics, these Laplace conformally superintegrable systems and their conformal symmetry algebras. Using the theory of the Laplace systems, we show that the problem of classifying all 3D Helmholtz superintegrable systems with nondegenerate potentials, i.e., potentials with a maximal number of independent parameters, can be reduced to the problem of classifying the orbits of the nonlinear action of the conformal group on a 10-dimensional manifold.

year: 2010

title: A general dynamic capability: Does it propagate business and social competencies in the retail food industry?

authors: Marcus, Alfred A.

subjects: business

abstract: Given that firms have both business and social goals, an important unanswered question is whether a general dynamic capability breeds competencies in both these areas. In studies of the US retail food industry, we find that while a general dynamic capability affects firms' competence in supply chain management (a business competency), it does not affect their competence in environmental management (a social competency). Firm mission and the extent to which firms obtain technical assistance are found to affect the acquisition of this latter competency. These findings offer insights into the resource-based view (RBV) of the firm and provide lessons for corporate social responsibility. They reveal more precisely what a general dynamic capability yields and how far its reach extends, suggesting that the factors that drive competitive advantage are not the same as those that drive social responsibility.

text: A general dynamic capability: Does it propagate business and social competencies in the retail food industry? Given that firms have both business and social goals, an important unanswered question is whether a general dynamic capability breeds competencies in both these areas. In studies of the US retail food industry, we find that while a general dynamic capability affects firms' competence in supply chain management (a business competency), it does not affect their competence in environmental management (a social competency). Firm mission and the extent to which firms obtain technical assistance are found to affect the acquisition of this latter competency. These findings offer insights into the resource-based view (RBV) of the firm and provide lessons for corporate social responsibility. They reveal more precisely what a general dynamic capability yields and how far its reach extends, suggesting that the factors that drive competitive advantage are not the same as those that drive social responsibility.

year: 2006

title: Portfolio of Compositions: Systematic composition of cross-genre hybrid music

authors: Mayall, Jeremy Mark

subjects: cross-genre hybrid music

abstract: The research focus of this PhD thesis is the development of a new technique for composing original musical compositions in which elements from different musical genres are hybridised. The innovative aspect of achieving balanced hybridity is the development of a systematic approach to selecting and synthesising or hybridising key musical elements across a range of different genres. The major component of this submission is a portfolio of nine original works with attached CD/DVD recordings. 

1. Tracking Forward for viola, backing track and video 
2. The Long White Cloud for chamber band and electronics 
3. ‘Colorless green ideas sleep furiously’ for orchestra 
4. Push for Miles for electric bass and backing track 
5. Norse Suite for viola and cello 
6. The Foggy Field a studio construction 
7. Into the Nocturnal Sunshine for flute, viola, cello, drums and electronics 
8. One Night, New Breath for taonga puoro, viola, drums and electronics 
9. Sketches of an Intergalactic Earworm for piano trio and boombox

The accompanying documentation clarifies, and contextualises the creation and presentation of these works; and illuminates the aesthetic underpinnings and compositional techniques developed and utilised as a part of this hybrid-genre compositional approach. The structure of the supporting exegesis is in two parts: the methodology of practice-based research, and reflective investigation. Part One (Chapters 1 and 2) is an introductory overview; an observation of the existing literature and related work, relevant creative practice in the composer’s previous work; and the compositional methodology – including an explanation of the genre matrix. Part Two (Chapters 3 to 12) analyses the use of genre, the balance of hybridity, and relevant compositional techniques utilised in the development of each individual piece.

text: Portfolio of Compositions: Systematic composition of cross-genre hybrid music The research focus of this PhD thesis is the development of a new technique for composing original musical compositions in which elements from different musical genres are hybridised. The innovative aspect of achieving balanced hybridity is the development of a systematic approach to selecting and synthesising or hybridising key musical elements across a range of different genres. The major component of this submission is a portfolio of nine original works with attached CD/DVD recordings. 

1. Tracking Forward for viola, backing track and video 
2. The Long White Cloud for chamber band and electronics 
3. ‘Colorless green ideas sleep furiously’ for orchestra 
4. Push for Miles for electric bass and backing track 
5. Norse Suite for viola and cello 
6. The Foggy Field a studio construction 
7. Into the Nocturnal Sunshine for flute, viola, cello, drums and electronics 
8. One Night, New Breath for taonga puoro, viola, drums and electronics 
9. Sketches of an Intergalactic Earworm for piano trio and boombox

The accompanying documentation clarifies, and contextualises the creation and presentation of these works; and illuminates the aesthetic underpinnings and compositional techniques developed and utilised as a part of this hybrid-genre compositional approach. The structure of the supporting exegesis is in two parts: the methodology of practice-based research, and reflective investigation. Part One (Chapters 1 and 2) is an introductory overview; an observation of the existing literature and related work, relevant creative practice in the composer’s previous work; and the compositional methodology – including an explanation of the genre matrix. Part Two (Chapters 3 to 12) analyses the use of genre, the balance of hybridity, and relevant compositional techniques utilised in the development of each individual piece.

year: 2015