Statistical isomorphism of three-level factional factorial designs

From a statistician's standpoint, the interesting kind of isomorphism for fractional factorial designs depends on the statistical application. Combinatorially isomorphic fractional factorial designs may have different statistical properties when factors are quantitative. This idea is illustrated by using Latin squares of order 3 to obtain fractions of the 3(3) factorial. design in 18 runs.

On the operator space structure of Hilbert spaces

Operator spaces of Hilbertian JC∗ -triples E are considered in the light of the universal ternary ring of operators (TRO) introduced in recent work. For these operator spaces, it is shown that their triple envelope (in the sense of Hamana) is the TRO they generate, that a complete isometry between any two of them is always the restriction of a TRO isomorphism and that distinct operator space structures on a fixed E are never completely isometric. In the infinite-dimensional cases, operator space structure is shown to be characterized by severe and definite restrictions upon finite-dimensional subspaces. Injective envelopes are explicitly computed.

Software evolution: a graph based model

A model based on graph isomorphisms is used to formalize software evolution. Step by step we narrow the search space by an informed selection of the attributes based on the current state-of-the-art in software engineering and generate a seed solution. We then traverse the resulting space using graph isomorphisms and other set operations over the vertex sets. The new solutions will preserve the desired attributes. The goal of defining an isomorphism based search mechanism is to construct predictors of evolution that can facilitate the automation of ’software factory’ paradigm. The model allows for automation via software tools implementing the concepts.

Software evolution: a graph based model

A model based on graph isomorphisms is used to formalize software evolution. Step by step we narrow the search space by an informed selection of the attributes based on the current state-of-the-art in software engineering and generate a seed solution. We then traverse the resulting space using graph isomorphisms and other set operations over the vertex sets. The new solutions will preserve the desired attributes. The goal of defining an isomorphism based search mechanism is to construct predictors of evolution that can facilitate the automation of ’software factory’ paradigm. The model allows for automation via software tools implementing the concepts.

The future of stakeholder management theory: a temporal perspective

We propose adding a temporal dimension to stakeholder management theory, and assess the implications thereof for firm-level competitive advantage. We argue that a firm’s competitive advantage fundamentally depends on its capacity for stakeholder management related, transformational adaptation over time. Our new temporal stakeholder management approach builds upon insights from both the resource-based view (RBV) in strategic management and institutional theory. Stakeholder agendas and their relative salience to the firm evolve over time, a phenomenon well understood in the literature, and requiring what we call level 1 adaptation. However, the dominant direction of stakeholder pressures can also change, namely, from supporting resource heterogeneity at the firm level to fostering industry homogeneity, and vice versa. When dominant stakeholder pressures shift from supporting heterogeneity towards stimulating homogeneity in industry, the firm must engage in level 2 or transformational adaptation. Stakeholders typically provide valuable resources to the firm in an early stage. Without these resources, which foster heterogeneity (in line with RBV thinking), the firm would not exist. At a later stage, stakeholders also contribute to inter-firm homogeneity via isomorphism pressures (in line with institutional theory thinking). Adding a temporal dimension to stakeholder management theory has far reaching implications for this theory’s practical relevance to senior level management in business.