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Let d be a given positive integer and let {Rj}j= 1d denote the collection of Riesz transforms on Rd.
Let (C_{10}) be a given positive constant.
Let ({M_{i}}) be a given positive real number sequence satisfying (2.2).
Let be a mapping, let be a given Fréchet differentiable -convex functional, and let be a given positive real number.
Theorem 3 Let { ( x i, f i, d i ), i = 1, 2, …, n } be a given positive data.
Note that, F A, F T are equilibrium monotone bifunctions, and g-1 K) is a closed convex subset of H. Now, let α ∈ (0, 1) be a given positive real number.
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Tipping is an opportunity to give positive recognition to a person who works hard to provide service.
Here, T is a given positive number.
Next k is a given positive integer.
We assume that is a given positive integer.
Let us denote that C is a given positive constant.
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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