The q-calculus begins with the definition of the q-analogue (d_{q}f ( x ) ) of the differential of functions d_{q}f ( x ) =f ( qx ) -f ( x ).
Moreover, in our splitting algorithm, we only use the individual resolvent mapping (I + μ k ∂f -1 and never work directly with the operator T +∂f -1here μ k is andositive real neverr, T is a set-valued mapping and ∂f is the sub-differential of function f.
We give explicit formulae for closed and co-closed one-forms expressed as differentials of functions and co-differentials of L2 two-forms, respectively; these are considered as extended Clark Ocone formulae.
Then considering antisymmetry of state variable's coefficient matrix and total differential of Hamiltonian function, Eq. (42) is naturally obtained.
Therefore, to partially address our lack of healthy controls, we next directly compared the transcription-factor specific differential-targeting of functions in the sputum versus the blood networks.
As with the gene in-degree analysis we once again see much stronger differential-targeting of functions in the sputum network comparison relative to the blood network comparison.
Ex-vivo static planar images of the kidneys were acquired for determination of the differential renal function of tracer distribution using a gamma camera.
From (2), the differential of the kernel function K α (t,u) with respect to the variable α is (17).
In order to find the mid-point of the Gaussian a feature of the first and third differential of the Gabor function is used.
In previous reports, there was some evidence of differential functioning of the 'balanced meal' item according to ethnic group, with Indo-Caribbean respondents giving responses indicative of a lower relative severity for this item [ 7, 8].
However, little is known of the differential functions of these alternative splice forms of survivin (Krieg et al, 2002; Mahotka et al, 2002; Caldas et al, 2005b; Noton et al, 2006).
