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Discover LudwigThe phrase "above defined" is correct and usable in written English.
It can be used to refer to something that has been previously defined or explained in the text.
Example: "The terms and conditions outlined in the above defined section must be adhered to by all participants."
Alternatives: "previously defined" or "defined above".
Exact(43)
with the above defined matrices,.
Now, substituting the above defined expressions in the problems (WHP) and (WHD), we get.
Let us consider the transition from state to state in the above defined Markov chain.
The relationship between the above defined times is illustrated in Fig. 2.
Let us give an example which will illustrate the role of the above defined notions.
In the case of correct reception, the above defined condition for QEF reception is satisfied.
Similar(17)
Thus the above-defined mappings are decreasing, and hence their limits exist in as.
5) Practical realization - implementation of the above-defined harmonization steps in a selected software.
Varying the above-defined ratio resulted in a commensurate change of the density of the NPs on the surface.
It is evident that an optimal ship is the outcome of a holistic optimization of the entire, above-defined ship system over her whole life-cycle.
Further, we can impose some suitable conditions on the above-defined functions to verify the assumptions on Theorem 3.1.
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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