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The phrase "amount to assuming" is correct and usable in written English.
It can be used when discussing a conclusion or implication that arises from a particular situation or statement.
Example: "His refusal to answer the question may amount to assuming guilt in the eyes of the jury."
Alternatives: "equate to assuming" or "result in assuming".
Exact(3)
In our case, the assumptions for the validity of EVT amount to assuming a regular (power-like) behavior of the tail 1 − F (m) of the distribution of earthquake magnitudes in the vicinity of its rightmost point Mmax.
Since this principle only regulates our cognition but is not constitutive of nature itself, this does not amount to assuming that nature really is the product of intelligent design, which according to Kant we are not justified in believing on theoretical grounds.
The changes amount to assuming that the association of JAK to R is much faster than the dissociation of R_JAK.
Similar(57)
In its initial form, our extension amounted to assuming all these facets oriented either parallel to slip planes or normal to slip directions, what is proved convenient for large enough grains.
This amounts to assuming that hourly wages are independent from hours of work.
Necessitating directly an open formula, without first closing it, amounts to assuming what is to be proved.
This amounts to assuming that there must be group benefit in the sense of a design-type group-level adaptation in order to say that group selection can occur.
This amounts to assuming that the angles formed by forward scattered radiation with the incidence direction of the laser beam are very small, so that the following substitutions can be made: (16).
In our simple example, this amounts to assuming that the bacteria don't exhibit any kind of spontaneity, in other words, their growth behavior is assumed to be determined by their genetic constitution and their environment (although most biologists are convinced that their experimental organisms have good and bad days just like themselves!).
Finally, we assume that transmission is a Markov process, an approximation that amounts to assuming that individual infectious contacts are independent (compare [17]).
Assuming that p is constant among lemmata amounts to assuming that the pks approach a common value p as an average, for which justifications can be found in instances like this one [28].
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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