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Exact(12)
Given, let be an arbitrary constant with.
For bounded case, "a" can be an arbitrary constant.
Given, let be an arbitrary constant with, that is (2.12).
Let and let be an arbitrary constant with.
Given, let be an arbitrary constant with that is, Then it follows from (2.23) that (2.27).
Case 2. Assume that (2) is satisfied and let λ ∈ ( 0, 1 ) be an arbitrary constant.
Similar(48)
(5)Integrating (5) once with respect to time givesx′(t) = Ft/m + b (6 where b is an arbitrary constant.
The differential calculus shows that the most general such function is x3/3 + C, where C is an arbitrary constant.
where is an arbitrary constant.
here is an arbitrary constant.
where g1 is an arbitrary constant.
More suggestions(15)
be an arbitrary natural
be an arbitrary continuous
be an arbitrary feasible
be an optimal constant
be an arbitrary open
be an arbitrary fixed
be an arbitrary algebraic
be an arbitrary positive
be an arbitrary double
be an overall constant
be an unknown constant
be an arbitrary stochastic
be an arbitrary integrable
be an arbitrary small
be an arbitrary real
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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