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The phrase "considering there exist" is correct and usable in written English.
You can use it to draw attention to a particular point or to introduce a fact or statement. For example, "Considering there exist countless studies on the subject, it's clear that climate change is an urgent issue of our time."
Exact(1)
Considering there exist constants and the sufficiently small such that (3.8).
Similar(59)
Considering, there exists such that (3.7).
Considering, there exists such that, for, where satisfies.
Considering there exists an optimal point where HCP phase is the richest together with the indispensable factor of the nature of stabilizing agents, the proposed growth mechanisms is corroborated.
c Note that if different channel feedback mechanisms are considered, there exists cases where only individual elements of the local gathered channel system matrix are lost.
For the tube diameters of 3, 4, 5 mm considered, there exists an appropriate range of Re that have the smaller NI and the better exergy utilization with certain diameter.
When evaporation or condensation is considered, there exists a two-way coupling of momentum, heat and species transfer, i.e. the fluid flow influences the heat and species transfer and vice versa.
For all values of τ s here considered, there exists a single folded saddle, p fs, on the lower fold curve of S 0 in the physiologically relevant range, s ∈ [ 0, 1 ].
Since the fixed cost for renting is considered, there exists a capacity in the morning that decision-maker is about to increase the average vehicles' utility ratio in order to reduce total costs.
For any pair of words (y', z') not explicitly considered, there exists another pair (y, z), formed by representatives, hence such that y' is a prefix of y, and z' is a prefix of z, and the two pairs have the same number of co-occurrences as shown in Figure 6.
(ii) Considering, there exists such that (3.7) .
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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