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Now g ( z, μ ( z ) ) is a contraction mapping whenever ρ ∈ ( 0, 1 ) ; therefore, in view of the Banach fixed point theorem, Eq. (15) has a unique analytic solution in the unit disk and consequently the problem (14).
Now, to show that G ( z, μ ( z ), z μ ′ ( z ) ) is a contraction mapping, Thus, in view of the Banach fixed point theorem, Eq. (20) has a unique analytic solution in the unit disk and consequently the problem (19).
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Θ is maximized, when n P is big and σ is small, which implies an adequate disk size and consequently an appropriate grain size.
In the present work, we took benefit of an ultramicroelectrode array configuration (16 × 20 μm diameter-disk UME) to increase the overall electroactive surface and consequently, faradaic currents.
Preliminary simulations for a complete wheelset with two braking disks are performed to evaluate the stress strain distribution, and consequently, to find an optimal strain gauge layout for the measurement of lateral forces Y.
Longitudinal recording is approaching its areal density limits, and consequently the compound areal growth rate of areal density on hard disk drives has recently been slowing.
Rotating disks work mostly at high angular velocity and this results a large centrifugal force and consequently induce large stresses and deformations.
fumigatusinvasion and, consequently, its virulence.
HO: And consequently a lot of writing.
"And consequently, no need to treat the other guys well".
Nudestix think much simpler and, consequently, are ingenious.
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