The phrase "arithmetical models and" is correct and usable in written English.
You can use it when discussing mathematical concepts, theories, or applications that involve arithmetical models.
Example: "In our research, we will explore arithmetical models and their implications for data analysis."
Alternatives: "mathematical models and" or "numerical models and".
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.
The distributive justice follows an arithmetical model.
This type of algorithm mined out the TRPs for the given TFPE-inferred indirect regulatory pairs based on the arithmetical modeling of the confidence of the TF-gene binding pairs or the protein protein interaction pairs.
The need for substantive empirical assumptions arises in settings where there are instances of arithmetical possibilities that are marked out by Simpson's Reversals in urn models and in possible and actual empirical settings.
I said to myself, 'I think nature has a different system, and it must be some sort of arithmetical-geometrical coördinate system, because nature has all kinds of models.' What we experience of nature is in models, and all of nature's models are so beautiful.
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.
The methodology is exemplarily illustrated by an application from the field of automotive crash simulation which demonstrates that advanced modeling and simulation of dynamical systems, based on fuzzy arithmetical techniques for including the presumably limiting uncertainties, can provide significant additional benefit.
This model is an arithmetical word problem model that is solved by one arithmetical operation composed of three quantities: operand, operand, and result quantity.
The mapping between arithmetical expressions and meta-arithmetical statements, based on Gödel's numbering, cannot go awry in any "non-standard" model, as Sloman suggested.
