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Then the corresponding solution to (1.1)–(1.3) blows up in finite time.
Now, we see the graph of the corresponding solution to the equation (4.34) in Figure 9.
More specifically, we introduced the ℓ2,1 norm to the direction matrix and then developed the corresponding solution to MNPLS.
Step 5: if the throughput improvement in Step 4 is positive, use the corresponding solution to replace the starting solution.
Then the corresponding solution to (1.2) with u 0 ( x ) as initial data blows up in finite time.
Moreover, according to recent theoretical results, for any initial condition the corresponding solution to Burgers' equation must converge to a constant as t → ∞.
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From such empirical insights, we can fashion constraints on architectural design principles that guide architectural creation, and devise corresponding solutions to particular design problems.
Let g and g ˜ in W 1, ∞ and ω and ω ˜ be the corresponding solutions to (4.1).
The parameterization is computed offline applying a tailored subspace clustering algorithm to training data consisting of states and corresponding solutions to the MPC optimization problem.
Theorem 7 Let g and g ˜ be in W 1, ∞ , and let ω h and ω ˜ h be the corresponding solutions to (4.1).
Let ((f g)); ((tilde{f},tilde{g})) be a pair of data and (zeta =sigma f,g)); (tilde{zeta}=sigma tilde{f},tilde{g})) the corresponding solutions to (2.6).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com