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ARITHMETICAL definition in American English - Collins Dictionary
(ærɪθmɛtɪkəl ) adjective [usu ADJ n] Arithmetical calculations, processes, or skills involve the addition, subtraction, multiplication, or division of numbers .
www.collinsdictionary.com
www.collinsdictionary.com
ARITHMETICAL definition | Cambridge English Dictionary
ARITHMETICAL meaning: 1. involving adding, subtracting (= removing a number or amount), multiplying, or dividing numbers…. Learn more.
dictionary.cambridge.org
dictionary.cambridge.org
ARITHMETIC Definition & Meaning - Merriam-Webster
1. a : a branch of mathematics that deals usually with the nonnegative real numbers including sometimes the transfinite cardinals
www.merriam-webster.com
www.merriam-webster.com
arithmetical
arithmetical, a. (and n.) (ærɪθˈmɛtɪkəl) [f. L. arithmētic-us, a. Gr. ἀριθµητικ-ός numeric (see arithmetic n.1) + -al1.] A. adj. Of, pertaining to, or connected with, arithmetic; according to the rules of arithmetic. arithmetical mean, arithmetical progression, arithmetical proportion: see quot.1543...
Oxford English Dictionary
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37 Synonyms & Antonyms for ARITHMETICAL | Thesaurus.com
arithmetical · algebraic · algorithmic · computative · geometrical · math · measurable · trigonometric. adjective as in numeric. Synonyms. Strong match.
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www.thesaurus.com
How To Say Arithmetical - YouTube
Learn how to say Arithmetical with EmmaSaying free pronunciation tutorials. Definition and meaning can be found here: ...
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www.youtube.com
Arithmetical ring
In algebra, a commutative ring R is said to be arithmetical (or arithmetic) if any of the following equivalent conditions hold:
The localization of R An arithmetical domain is the same thing as a Prüfer domain.
References
External links
Ring theory
wikipedia.org
en.wikipedia.org
Arithmetic - Wikipedia
Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division.
en.wikipedia.org
en.wikipedia.org
arithmetical, adj. & n. meanings, etymology and more
There are three meanings listed in OED's entry for the word arithmetical. See 'Meaning & use' for definitions, usage, and quotation evidence.
www.oed.com
www.oed.com
The development of arithmetical abilities - PubMed
The development of arithmetical abilities can be described in terms of the idea of numerosity -- the number of objects in a set.
pubmed.ncbi.nlm.nih.gov
pubmed.ncbi.nlm.nih.gov
Arithmetical hierarchy - Wikipedia
Any set that receives a classification is called arithmetical. The arithmetical hierarchy was invented independently by Kleene (1943) and Mostowski (1946).
en.wikipedia.org
en.wikipedia.org
What is another word for arithmetical? - WordHippo
What is another word for arithmetical? Contexts. Of or pertaining to arithmetic, particularly the functions of arithmetic. Relating to numbers or mathematics.
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www.wordhippo.com
Arithmetical set
The arithmetical sets are classified by the arithmetical hierarchy. Properties
The complement of an arithmetical set is an arithmetical set.
The Turing jump of an arithmetical set is an arithmetical set.
wikipedia.org
en.wikipedia.org
A non-arithmetical set? A set is called arithmetical if it can be defined by a first-order formula in Peano arithmetic. I first encountered these sets when exploring the arithmetical hierarchy in the context of comput...
There are countably many first order formulas defining arithmetical sets. Let $\varphi_n$, $n\in\mathbb N$, be a list of those.
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Arithmetical hierarchy
Any set that receives a classification is called arithmetical. The arithmetical hierarchy of formulas
The arithmetical hierarchy assigns classifications to the formulas in the language of first-order arithmetic.
wikipedia.org
en.wikipedia.org