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"the following objective" is correct and usable in written English.
It is typically used to introduce a specific goal or aim that will be discussed or presented in the following sentence or sentences. Example: "The following objective of our project is to increase sales by 10% within the next quarter."
Exact(60)
In this context, the present study was proposed with the following objective: to evaluate gender-related differences in clinical follow-up of ischemic heart disease in a primary care setting, both for detection and management of the principal CVRF and the use of recommended medications for secondary prevention.
Hence this study was undertaken with the following objective.
Two different optimization procedures with the following objective functions have been applied: (I) net electrical efficiency and thermal generation; and (II) net electrical efficiency and electrical power generation.
Based on those solutions, the present study determined that the pontoon volume and the sectional area of the tendons dominantly affect the following objective values: the maximum heave response and the total weight of the hull and tendons.
We have performed the following objective evaluations.
The day-ahead schedule model has the following objective function.
We proceed to formalize the following objective function.
To do this, the following objective function is formed using Eqs.
This gives formally the following objective function and associated constraint: (23).
The purpose of KSVD algorithm is to solve the following objective function: min D, X ∥ Y − DX ∥ F 2, s.t.
The following objective function realizes this criterion: min ∑ ij Z i - Z j 2 W ij. (8).
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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