Sentence examples for after deriving the from inspiring English sources

The phrase "after deriving the" is correct and usable in written English.
It can be used when discussing the results or conclusions that follow from a process of derivation, often in academic or technical contexts.
Example: "After deriving the necessary equations, we can now analyze the system's behavior under different conditions."
Alternatives: "following the derivation of" or "subsequent to deriving the".

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After deriving the equilibrium equations a parametric study was carried out on simply supported beams.

After deriving the Sobolev inequality, we give the proof of (1.1).

After deriving the Pareto set, the most preferred solution is determined using a fuzzy satisfying method.

After deriving the new method we then prove L2 norm convergence on the boundary.

After deriving the method for forward Euler time integration, we further extend it to higher order accurate Runge Kutta methods.

After deriving the optimality system associated to the multi-domains SIR model, we find two optimal control strategies.

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After deriving precoding matrices, the corresponding ZF decoding matrices also need to be derived to preserve the target spaces.

Such reformulations using KKT optimality conditions have been well studied for solving the problems, and after deriving KKT conditions for the above problem we achieve a single-level nonlinear problem.

Woodcock said he was inspired to go public with his illness after deriving "such strength" from the way another Labour MP, Kevan Jones, talked about his depression in public, as well as from the openness of the former Labour spin doctor Alastair Campbell.

After deriving equations for forecasting the control state vector, design procedures for an optimal active control method are proposed.

268 272 273 Finally, after deriving patient centred estimates for the potential benefit and harm from an intervention, the clinician must integrate them with the patient's values and preferences for therapy.

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