The phrase "arithmetical modeling" is correct and usable in written English.
It can be used in contexts related to mathematics, statistics, or data analysis where mathematical models are being discussed or developed.
Example: "The researchers employed arithmetical modeling to predict the outcomes of the experiment based on the initial data collected."
Alternatives: "mathematical modeling" or "numerical modeling".
The arithmetical models used by Meyer-Mortensen later proved to allow inconsistent representation of the truth predicate.
Recently, these inconsistent arithmetical models have been completely characterised by Graham Priest; that is, Priest showed that all such models take a certain general form.
Both \(\mathsf{LPP}\) and \(\mathsf{GLA}\) enjoy completeness relative to the class of arithmetical models, and also relative to the class of possible world justification models.
This model is an arithmetical word problem model that is solved by one arithmetical operation composed of three quantities: operand, operand, and result quantity.
As practical and illustrative examples of two different areas of the engineering sciences, the fuzzy arithmetical approach to comprehensive modeling and analysis of uncertain systems is applied to the simulation of automotive crash in structural dynamics as well as to the simulation of landslide failure in geotechnical science and engineering.
According to him, Schröder's idea of solving a relational equation was a precursor of Skolem functions, and Schröder inspired Löwenheim's formulation and proof of the famous theorem that every "arithmetical" sentence with an infinite model has a countable model.
Of course solving arithmetical problems in arithmetic is in some cases practically impossible.
Namely, it is possible to conclude that any theory F satisfying the conditions of the theorem must possess, in addition to the intended interpretation or "standard model" (in the case of arithmetical theories, the structure of natural numbers), non-intended interpretations or "non-standard models"—that no such theory can rule out the latter and fix uniquely the intended interpretation.
In this study, the strategy as used in Zhu et al.[7] was applied to build consensus model, in which the predicted toxicity for each compound equals to the arithmetical mean of all predicted values of individual models.
The main contribution of this research is a mathematical model to build an exact arithmetical unit able to represent without error rational numbers in positional notation system.
