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Discover LudwigThe phrase "assumption establishes" is correct and usable in written English.
It can be used in contexts where you are discussing how a particular assumption leads to the establishment of a conclusion or a framework.
Example: "The assumption establishes a foundation for the theory, allowing researchers to build upon it."
Alternatives: "premise creates" or "hypothesis forms".
Exact(1)
The following assumption establishes that if (T ( = g f ): bigcup_{ i in bar{p}} X_{i} to F ( bigcup_{ i in bar{p}} X_{i} )) is a decomposable p-cyclic fuzzy mapping, then the 1-level set of Tx intersects with fx for any (x in bigcup_{i in p} X_{i}).
Similar(59)
The lack of a universal language developed in part from a political assumption established at the very beginning of the Orthodox Christian world: that the church and the state were twin pillars of legitimate authority.
Geometric assumptions establish a one-degree of freedom model with constitutive and geometric nonlinearities.
We further study the supply chain performance and the interval of the coordinating contract parameters under different situations by illustrating the model through some numerical assumptions, establishing and highlighting the conditions under which the RFID technology is preferable to the system.
They specifically exhibit the role of philosophical assumptions, establishing differences in conventionally accepted practices of case study research in published papers.
Identification of this model requires the same assumptions established for the NB2-Logit and consistency requires that the true DGP is ZI-NB2-Logit.
Since our constraining assumptions establish that our solar array is 13% efficient and captures no energy outside noontime sun, a photovoltaic system of 29.3m2 (302 ft2) would power the needs of the average Californian residence.
In particular, the EPC assumptions establish that TFP growth rates (for each country) will converge to a long-term historical average TFP growth rate recorded in the EU, of 1.1%%.
During the period of study the existing assumptions established by Seber [ 60] where complied with for the study of open populations, as well as getting to know the biology of all the species of rodents within the area of study [ 59].
The proposal of the controller considers the decoupling assumption, which establishes that the faster dynamics can be decoupled from the slower dynamics, that is, the dynamics of the current decoupled from the capacitor voltage dynamics.
Let a sphere S ∈ $i be called a-permitting if and only if ∪$i ∩ |a| ≠ ∅ (for the sake of brevity we omit in this section the relativity of each proposition to the corresponding model M .[6] The so called Limit Assumption (LA) establishes that if ∪$i ∩ |a| ≠ ∅ then there is a smallest A-permitting sphere.
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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