Upon using well-defined simplifying assumptions, the criteria developed here are suitable for mixtures whose properties are described by a molecular-thermodynamic model where the Helmholtz energy depends on composition-average model parameters.
This joint model is merging different models, respectively, characterizing the different components of the system (source, source coder, channel coder, and channel), and is enabled by a set of well-defined simplifying assumptions.
By Formative Scenario Analysis we derived well-defined sets of assumptions about possible system dynamics at selected critical stream configurations that allowed us to reconstruct in a systematic manner the underlying loading mechanisms and the induced system responses.
In most cases, an interactive Microsoft Excel spreadsheet is adequate, with projections (and well-defined and denoted assumptions that drive them) for revenue, expenses and cash flow over the next five years.
This study is based on well-defined technical and regulatory assumptions and takes into account various stages of the project (preliminary, final, execution, "as built" phases).
Cantor emphasized that his views were "in diametrical opposition" to Dedekind's, and in particular to his "naïve assumption that all well-defined collections, or systems, are also 'consistent systems' " (see the letter to Hilbert, Nov. 15, 1899, in Purkert & Ilgauds 1987, 154).
Given the fact that the physics of storage and fluid flow in shale are not well-understood and well-defined, Shale Analytics avoids making simplifying assumptions and concentrates on facts (Hard Data - Field Measurements) to reach conclusions.
The definition of a well-defined set of simulation parameters and assumptions aims to ensure the reproducibility of the simulation results.
The main concepts are well-defined overall, with explicit propositions and assumptions.
In order to demonstrate this assumption, we chose two well-defined production groups according to archaeological criteria from the Loron amphora workshop site, dating from the Roman era.
which is well-defined by (5) and under the boundedness assumptions on the weighting matrices of the quadratic cost function.
