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It can be verified that, for any fixed, equation (37) is an increasing function of and.
It can be verified that for each fixed n ∈ N, S n is a contractive mapping.
It can be verified that, for the case m = q < r < 1, a sufficiently large constant L is a super-solution of (1.1).
It can be verified that for sufficiently large γ > 0, from (22) we obtain ∥ u N ∥ H ˚ 1 π ≤ C ∥ F φ ∥ L 2 , (23).
Moreover, it can be verified that for the sum-power constraint case, S i * in (17) contains orthogonal columns (i.e. orthogonal beamforming) since V i H V i = I, and hence its structure turns out to be independent of γ.
So (Psi_{2}(x)geqPsi_{2}(y)). Since (alpha+beta x>0), (beta+alpha x>0), it can be verified that, for (xin[0,1]), (alphageqbeta>0), we obtain (alpha+beta xgeqbeta+alpha x), which implies (Psi _{3} alpha+beta x)geqPsi_{3}(beta+alpha x)).
Similar(54)
It has been verified that for the laminar region the pressure drop is proportional to the air velocity.
It was verified that for engineering estimation of the viscoelastic pressure drop excess, simple forms of the correction function of the effective Deborah number can be used.
It is verified that, for each reaction temperature, there is a water/ethanol molar ratio at which ethanol conversion has a maximum.
It was verified that for any given catalyst mass flow rate, there exists an optimum value for the catalyst to oil mass flow rate ratio, COR, for maximum mass flow rate production of gasoline, or any other desired product.
It was verified that for the rated operating point when supplying power to the vehicle (2.5 kW) the hydrogen consumption decreased, and the actual efficiency (47.9%) PEMFC was increased close to 1%.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com