The phrase "assumptions formulated" is correct and usable in written English.
It can be used when discussing the assumptions that have been created or established in a particular context, such as research or analysis.
Example: "The assumptions formulated during the initial phase of the project were crucial for guiding our methodology."
Alternatives: "established assumptions" or "created assumptions".
This requires a new approach to such multiplier theorems, which in turn leads to rather weak assumptions formulated in terms of Besov norms.
For problem (18 - 19 18 - 19ansversalitheconditransversalityrightarrow+infty} inf_{T^{prime}geq T} e_{conditionshdelta}(t,0)u' bislim_{de{c}bigl(Trightarrow+inftyr)fbigl(T^{prime}binf_{0, provided T^{prime}geqions formulaT}d in [22] are_{circleddashdelta} t
Thanks to the questionnaire, it also intends to shed light on other assumptions formulated in literature as putative origins for SALS (as occupational exposure and sports practising).
Proposition 5 For any functional terms in Equations 17, satisfying the general assumptions formulated above, the system admits a unique equilibrium for large u > 0 or small u > 0. For some chioces of such functional terms, the system may have multiple positive equilibria x A, x B, x C,... ∈ IR3 (typically three) for intermediate values of u.
The firm size positive relation with governance supports the assumption formulated (H1.2.1, H2.2.1, H3.2.1) suggesting a more widespread adoption of formal contracts between large farms and traders operating outside the local market boundaries, where the spatial proximity influence on the efficiency of informal contractual arrangements does not apply.
First, the assumptions are formulated and then we discuss details of layers and modules that comprise this architecture.
The results are applied to linear time-invariant systems as a particular case, for which the assumptions are formulated as linear matrix inequalities.
Vehicle and lift travel times and the probability distribution for 12 service scenarios occurring under realistic operating assumptions are formulated and used to generate expected transaction service times.
In image processing, detection of ROIs is often conducted as a segmentation problem if no other assumptions are formulated about the application context and postprocessing operations that will be applied on the signal.
