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To solve the above-mentioned trouble and to make solar photocatalytic by TiO2 sufficient, constant efforts have been made by adding electron donating organic polymer (PPy).
Scatter plots for wait time to surgery and improvement in Constant score (the difference between pre- and post-operative scores) was plotted for studies with sufficient Constant score data.
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Further, one can choose the sufficient small constant with (2.5).
end{aligned} (3.13) Choose a sufficient small constant (rho>0) such that 0< frac{rho}{theta}< varphi^{l}-0.5thetabigl sigma^{u} bigr)^{2}.
By the equivalence of any two norms on finite-dimensional space (X^{k}), we can choose a sufficient small constant (rho_{k}>0) such that, for any (uin X^{k}), (|u|_{infty}<beta), as (|u|=rho_{k}) uniformly for (xinoverline{varOmega }).
About 30 min was sufficient to attain constant potential condition.
Furthermore, this high proportion of matrix flow assures sufficient water for constant exploitation also during dry season.
If there is not sufficient ease, the constant pulling and friction that the lining is subject to, will cause tears in the lining fabric (Cabrera 1996).
This may be guaranteed by means of a sufficient large real constant ε u > 0, and simultaneously | e ¯ ( t 1 ) | ≤ ε I and | I ¯ ( t 1 ) | ≥ δ I > 0 with small enough ε I and large enough δ I so that | I ¯ ( t ) | ≥ m I > 0 and | I ¯ ˆ ( t ) | ≥ m I ′ > 0 on [ t 1, t 1 + T m ) in order to ensure the validity of (4.18) on [ t 1, t 1 + T m ).
Indeed, most cancer cells activate hTERT expression to high levels, which are sufficient to preserve constant telomere length and enable unlimited cell proliferation [13].
These devices were undependable, lacked sufficient sensitivity, and required constant adjustment of the whisker-to-crystal contact to produce the desired result.
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