The transformations are realized in the form of piecewise linear functions whose parameters are optimized with the use of Particle Swarm Optimization (PSO).
In the case in which H = L 2 ( R ), this unitary transformation may be realized in terms of the eigenfunctions ψ 1, ψ 2 ∈ L 2 ( R ) and the hypergeometric functions ψ λ ( x ) which satisfy point to point H ψ λ = λ ψ λ. for λ > 0, but do not belong to L 2 ( R ).
If in the 1950s Charles was the first to secularize pure gospel songs, that transformation realized its full flowering in the work of Aretha Franklin, the "Queen of Soul," who, after six years of notable work on Columbia Records, began her glorious reign in 1967 with her first hits for Atlantic Records—"I Never Loved a Man (the Way I Love You)" and "Respect".
Priority in research of new materials belongs to alloys, in which the structural phase transformations of martensitic-type are realized in a ferromagnetic matrix, such as Heusler alloys, intermetallic compounds Co-Ni-Al, Co-Ni-Ga alloys, and Fe-based alloys.
Of the 26 companies that I consider realized or effectively realized in my personal track record, 17 of them made complete transformations or partial transformations of their businesses between the time we invested and the time we sold.
Novel lightwave propagation and bending can be realized in optofluidics by designing the refractive index profile in the microchannel through diffusion via transformation optics.
Swift's transformation from precocious teenage country-pop singer and songwriter into a full-blown pop star, which began in earnest on "Red," is fully realized in "1989".
** not realized in our project.
PLA surface transformations are realized with DBDs in different atmospheres (air, helium, helium/air mixtures) and are compared to study the influence of discharge atmosphere on the PLA surface modification.
A reversible magnetic-field-induced martensitic transformation is realized, resulting in a large magnetocaloric effect related to the high magnetic entropy change with a broad working temperature span.
Each of the transformations is realized as a software plugin.
