The semantics of such patterns as theory transformations in rewriting logic is explained; and a representative collection of useful patterns is presented to ground all the key concepts and show their effectiveness.
During a nine-year collaboration with Engel, Lie published Theorie der Transformationsgruppen, 3 vol. (1888 93; "Theory of Transformation Groups"), which contains his investigations of the general theory of continuous groups.
The phenomena are discussed in terms of the adsorption isotherm (interface segregation) in conjunction with classical heterogeneous nucleation theory (phase transformation) and a phase field model that predicts the kinetics of phase transformation at segregation decorated grain boundaries.
Based on the theory of transformation optics, a type of homogeneous illusion device exhibiting transformed and shifted scattering effect is proposed in this paper.
Thompson developed a theory of transformation in which the evolution of one species into another is viewed as a process of major transformations involving the whole organism, rather than successive minor changes in the body parts.
Astrophysical magnetic fields are usually explained in a framework of the dynamo theory, describing transformation of the kinetic energy of a flow into magnetic energy.
Secondly, based on Lyapunov stability theory and transformation operation in complex plane, the sufficient condition of asymptotic stability for closed-loop power system with prescribed degree of stability α is derived.
Based on the theory of transformation optics and concept of complementary medium, a kind of electromagnetic refractor and wave splitter using homogeneous metamaterials with negative refraction index is proposed.
In essence, as we identified a tentative theory of transformation during the synthesis, we have then sought to understand from the synthesis data 'what is it about social interactions between GPs, patients and trainees that leads to positive transformative learning?' [ 91]. gOutcome describes the desired product of an intervention or interaction that is designed to trigger it.
In his 1961 abridgement, John Tyler Bonner wrote that Chapter IX "On the theory of transformations, or the comparison of related forms" is "the most celebrated chapter".
