Sentence examples for the functional of from inspiring English sources

The substitution of the energy from Eq. 24 to the average Hamiltonian from Eq. 19 leads to the expression for polaron binding energy as the functional of unknown yet wave function χ z).

A clustering algorithm is used to find approximately the intensity means of foreground and background in the image, and so the M-S functional is reduced to the functional of a single variable (level set function), which avoids using complicated alternating optimization to minimize the reduced M-S functional.

At every time step the functional of smoothness, written on the graph of the control function, is minimized.

The functional of quadratic temperature gradient is taken as the objective function in our analysis, which is subjected to the state equation of steady heat conduction and volume constrain.

Fuzziness of the corresponding quantities is consistently incorporated into the functional of the total potential energy.

Besides the nature of biomaterials, the processing also determines the functional of scaffolds, such as different processing methods.

Regarding the functionals of the form (1.5), we should underline the following.

These features are joint with the functionals of LLD by concatenation.

His idea was to devise a system that gave buses as many of the functional advantages of urban train systems as possible.

Formalization of the functional decomposition of the prognosis.

One of the functional practicalities of cultivating embodied awareness is the ability to hold space as a teacher.