Triple helix model of innovation strong ties with industry and governments, a high degree of independence, and permanent evolution of the relationships between universities, industry and government. Etzkowitz recognizes MIT as a great example of an 'entrepreneurial university’. Building on the triple helix model, the quadruple helix model adds a fourth component to the framework of interactions between university, industry and government: civil society and the media. It was first suggested by Elias G. Carayannis and David F.J. Campbell in "‘Mode 3’ and ‘Quadruple Helix’: toward a 21st century fractal innovation ecosystem". The aim is to bridge the gaps between innovation and civil society. Indeed,
Quadruple product Quadruple product In mathematics, the quadruple product is a product of four vectors in three-dimensional Euclidean space. The name "quadruple product" is used for two different products, the scalar-valued scalar quadruple product and the vector-valued vector quadruple product or vector product of four vectors . The scalar quadruple product is defined as the dot product of two cross products: where a, b, c, d are vectors in three-dimensional Euclidean space. It can be evaluated using the identity: or using the determinant: The vector quadruple product is defined as the cross product of two cross products: where a, b, c, d