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The phrase "arithmetical forms of" is correct and usable in written English.
It can be used when discussing different representations or structures of mathematical expressions or equations.
Example: "In our study, we will explore the various arithmetical forms of quadratic equations."
Alternatives: "mathematical representations of" or "numerical expressions of".
Exact(1)
Messiaen's experiments in extending arithmetical forms of organisation beyond pitch, to embrace rhythm, timbre and dynamics, confirmed Stockhausen in his belief that this was the way forward.
Similar(59)
But they cannot deliver explanations of the truth conditions and logical forms of arithmetical sentences that are as straightforward as those provided by identificationist accounts since they don't offer us any objects to serve as the referents of the numerals.
Hermite was a major figure in the development of the theory of algebraic forms, the arithmetical theory of quadratic forms, and the theories of elliptic and Abelian functions.
For statistical analysis, the arithmetical mean day-of-year of onset of each stage was calculated for each treatment.
Rules of inference also get expressed in the arithmetized form: For example, there is an arithmetical formula M x, y, z) which is true exactly when one has an application of a standard rule of inference "Modus Ponens" at hand; i.e., for some formulas A and B, x = ⌈A⌉, y = ⌈A → B⌉ and z = ⌈B⌉.
This construction of the numerical quantity of the angle \(\delta\) observed by \(B\) at \(O\), which is describable in the form of purely arithmetical relations, is invariant under arbitrary coordinate transformations and constitutes an objective fact of the world.[111] On the other hand, the angles between two stars determine the objectively indescribable subjective experience of the observer.
Yet, it is important to emphasize that the neglect patients exhibiting this form of space-based neglect had intact numerical and arithmetical skills.
One is that the effects of maths anxiety are not only present in the case of arithmetical operations which involve high computational demands, and are presented in the form of numbers and symbols, but also in the case of word problems with numerical content, where mathematical symbols are not used.
For arithmetical consistency, we slightly modify the RSSI of AP in our model, in the form of r ij = -1/RSSI ij (RSSI ij is the actual measured value of RSSI for APi in grid j (unit: dB)).
The aim of the current study was to examine the effects of providing support in the form of tools for constructing representations, and in particular the differential effects of the representational format of these tools (conceptual, arithmetical, or textual) in terms of perceived affordances and learning outcomes.
The cut-off points for IgG was defined as the arithmetical mean OD of sera of blood donors + 3 standard deviations (0.300).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com