Solute adsorption is shown to diminish the overall diffusivity of the suspension (emulsion), while for a fixed surface adsorption the consequence of increasing surface diffusivity is to enhance the emulsion's effective diffusivity.
Then, we obtain, as a consequence, a fixed point theorem for weakly Kannan maps.
Theorem 2 If f is a bounded function, then the operator T has a fixed point and, in consequence, the difference equation on a non-uniform lattice (21) with the boundary conditions (22) has a solution.
The surface charge effect is a simple electrostatic consequence of a fixed charge layer on the membrane surface.
To promote spontaneous nano-structuring and phase separation, selected samples were subjected to current annealing in vacuum, with a controlled oxygen pressure, using various current densities for a fixed time and, as a consequence, different phases and microstructures were obtained.
In consequence, is a fixed point for any and, therefore,.
This behavior is a consequence of a fixed number of available channels (e.g., 5) combined with an increasing number of neighbors (i.e., links), leading to an increasing level of interference.
Even if an eGFR of 60 90 ml/min/1.73 m represents a true defect in glomerular filtration after the AKI, it is unclear whether this is a fixed abnormality of no clinical consequence or an abnormality that will progress to CKD and ESRD.
Unavoidable if the BBC is to be saved from the consequences of a fixed licence fee, reducing in real terms on account of inflation and £400m of government-imposed extra obligations – S4C, World Service, local TV and broadband roll out.
In zero-sum games, by contrast, there is a fixed total of prizes, with the consequence that any person's advantage must be at the expense of someone else.
Hence the conclusion of Lemma 2.4 applies and, in consequence, N has a fixed point x which is a solution of the problem (1.1).
