Sentence examples for functional of which from inspiring English sources

Moreover, Φ is a Gâteaux differentiable functional of which the Gâteaux derivative at the point (uin X) is the functional (Phi' u in X^), given by Phi' u v= int_{0}^{T} bigl[bigl(_{0}^{c} D_{t}^{alpha}u(t bigr) bigl(_{0}^{c} D_{t}^{alpha}v(t bigr)+a(t)u(t)v t) bigr],mathrm{d}t- int_{0}^{T}hbigl u(t bigr) v(t),mathrm{d}t for every (vin X).

Only 354 of the 550 pre-war facilities remained functional, of which 80% were operated by NGO or FBOs [ 9].

Such opposing goals are achieved by a complex anatomical and functional structure the intestinal barrier consists of, the functional status of which is described by 'intestinal permeability'.

The organization determines the mix of functional units of which the system is composed and the structure of their interconnectivity.

Surgical treatment often consists of joint replacement, the functional outcome of which remains variable.

All stopbands 'turn on' with a finite response, the functional form of which determines the filter order and the effectiveness of noise suppression.

The most obvious reason is that there is tremendous variation in the sensory, physical and functional states of which "impaired" or "disabled" people are capable.

This diversity in carabid responses could be determined by variation in species functional traits, of which body size is likely to be a key factor.

We are only beginning to unravel how and why such complexes are formed, the functional implications of which will have an enormous impact on GPCR biology.

Finally, the mechanical performance of the EP/GF/FGO multi-scale composites was found to be dependent on the type of FGO functional groups; of which EDA exhibited the highest performance.

Units need to move, fire their weapons and perform other tasks to keep functional, some of which run counter to camouflage.