The phrase "assumptions were formulated" is correct and usable in written English.
It can be used in contexts where you are discussing the development or creation of assumptions in research, analysis, or theoretical frameworks.
Example: "In the study, several assumptions were formulated to guide the research process and ensure accurate results."
Alternatives: "assumptions were established" or "assumptions were created."
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.
In order to conduct the symptoms analysis, the following assumptions are formulated: First, it is assumed that there are business projects available in the country, but private agents are not willing to invest because they cannot obtain required financial resources to invest in such projects at a reasonable cost (Hausmann et al. 2008).
Tooley (2008 and 2012) employs a Carnapian theory in which the basic equiprobability assumption is formulated in terms of what are called 'structure descriptions', and the fundamental postulate is that all structure descriptions are equally likely.
A condition of validity of the above assumption is formulated based on the calculation of the thickness of the diffusion layer and of the time of traversing the diffusion layer by molecules which have reacted at the electrode interface.
This additional assumption is formulated in terms of the associated discrete quadratic functional F 0 : = ∑ k = 0 N { r k ( Δ η k ) 2 - q k η k + 1 2 }, where η = { η k } k = 0 N + 1 is a sequence such that η0 = 0 = ηN+1.
In the first stage, the distributional assumption is formulated for the observables y i, usually assumed to be conditionally independent given some latent parameters and, possibly, some additional hyperparameters.
