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The homotopy type of a simply connected compact 4-manifold only depends on the intersection form on the middle dimensional homology. A famous theorem of Michael Freedman () implies that the homeomorphism type of the manifold only depends on this intersection form, and on a / invariant called the Kirby–Siebenmann invariant, and moreover that every combination of unimodular form and Kirby ...
Building information model of a mechanical room developed from lidar data. Building information modeling (BIM) is an approach involving the generation and management of digital representations of the physical and functional characteristics of buildings or other physical assets and facilities.
Appreciative inquiry (AI) is a model that seeks to engage stakeholders in self-determined change.According to Gervase Bushe, professor of leadership and organization development at the Beedie School of Business and a researcher on the topic, "AI revolutionized the field of organization development and was a precursor to the rise of positive organization studies and the strengths based movement ...
Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions , to describe the sizes or locations of objects in the everyday world.
An illustration from Jouffret's Traité élémentaire de géométrie à quatre dimensions.The book, which influenced Picasso, was given to him by Princet. New possibilities opened up by the concept of four-dimensional space (and difficulties involved in trying to visualize it) helped inspire many modern artists in the first half of the twentieth century.