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Discover LudwigThe phrase "are derived below" is correct and usable in written English.
It can be used when indicating that information or conclusions will be presented later in the text.
Example: "The formulas used in this analysis are derived below for clarity and reference."
Alternatives: "are presented below" or "are outlined below".
Exact(5)
Additionally, energy bounds are derived below which it can be guaranteed that no fixed-point exists.
The parameters β and δ depend on t and are derived below.
The conditional mean and variance of the state process (r_k) are derived below.
Afterward, the results of the multiplications of two matrices, ( c ( 0 ) ) H F ~ m H F ~ m c ( 0 ) and ( c ( 0 ) ) H F ~ m H c ( 0 ) ( c ( 0 ) ) H F ~ m c ( 0 ), are derived below.
Bounds, imposed as a result of the limited precision, on the detectable difference and power are derived below.
Similar(55)
The expression of the estimator is derived below.
Here, an alternative solution proposed is to use its an upper bound, which is derived below.
When the harvesting problems are considered, the corresponding average population level is derived below.
The probability of error is derived below based on the probabilities in Eqs.
For toxicants, a threshold exposure level can be derived, below which it is assumed there is no statistically significant adverse effect to human health.
Equivalent Weyl TF transfer function of the proposed TCR filter in Equation (8) will be derived below for a linear TCR pass region approximated as a line impulse as given by Equation (1) and a rectangular pulse-shaped IF distribution at a reference time.
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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