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Now, we consider the estimate of the term.
Hence, we only consider the estimate of ∥∇u∥∞ for the smooth solution u(t) of (3.1).
Let us also consider the estimate (hat {tau }_{boldsymbol {lambda }_{k}},=,sum _{i=1}^{m} lambda _{i} hat {tau }_{ik}).
In this paper, we consider the estimate problem of the character sums ∑ a ∈ A χ ( a ) = ∑ a = 1 p − 1 2 † a + a ¯ χ ( a ), (1.1).
3 and 4, we consider the estimate of the blow-up rate and study the nonextinction phenomenon for the problem (1.1).
Here, we only consider the estimate of ((varphi_{M})_{s}(0,0)); that of ((psi_{N})_{s} 0, 0)) can be proven in a similar way.
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Thus, we consider the estimated Q −1 to mainly reflect the inelasticity of medium.
Analyses of multicenter trials consider the estimated treatment effect differences of the individual centers and combine them into an estimate of the overall treatment effect.
We can consider the estimates corresponding to D roots located closest to the unit circle as the final estimates.
According to the empirical analysis conducted by Kelly and Pratt (2013), we need to consider the estimated deviation of the expected return due to the different sample.
An alternate view is to consider the estimates arising from the sigma-point approach as a weighted statistical linearization of the nonlinear dynamics: (16).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com