How do you use Arity in a sentence? See 10+ example sentences showing how this word appears in different contexts, including synonyms like number, plus the exact meaning.
Arity in a sentence
Arity meaning
- The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product.
- The maximum number of child nodes that any node in a given tree (data structure) may have.
- the number of arguments (in Lojban grammar called sumti) specified in the definition of a selbri. (the selbri combined with the sumti make up a bridi).
Synonyms of Arity
Using Arity
- The main meaning on this page is: The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product. | The maximum number of child nodes that any node in a given tree (data structure) may have. | the number of arguments (in Lojban grammar called sumti) specified in the definition of a selbri. (the selbri combined with the sumti make up a bridi).
- Useful related words include: number.
- In the example corpus, arity often appears in combinations such as: of arity, the arity, arity of.
Context around Arity
- Average sentence length in these examples: 24.2 words
- Position in the sentence: 2 start, 4 middle, 4 end
- Sentence types: 10 statements, 0 questions, 0 exclamations
Corpus analysis for Arity
- In this selection, "arity" usually appears in the middle of the sentence. The average example has 24.2 words, and this corpus slice is mostly made up of statements.
- Around the word, multiple, term, smaller and versions stand out and add context to how "arity" is used.
- Recognizable usage signals include f of arity 2 can and function of arity 2 that. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "arity" sits close to words such as aab, aamer and aave, which helps place it inside the broader word index.
Example types with arity
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Examples The term "arity" is rarely employed in everyday usage. (10 words)
Nullary Sometimes it is useful to consider a constant to be an operation of arity 0, and hence call it nullary. (21 words)
A more general situation where this trick is possible is with Omega-groups (in the general sense allowing operators with multiple arity). (22 words)
The number of return values of an expression equals the difference between the number of operands in an expression and the total arity of the operators minus the total number of return values of the operators. (36 words)
For example, if the domain of discourse consists of integers, a function symbol f of arity 2 can be interpreted as the function that gives the sum of its arguments. (30 words)
Consequently, the number of operands encoded in an instruction may differ from the mathematically necessary number of arguments for a logical or arithmetic operation (the arity ). (26 words)
Example sentences (10)
A more general situation where this trick is possible is with Omega-groups (in the general sense allowing operators with multiple arity).
Consequently, the number of operands encoded in an instruction may differ from the mathematically necessary number of arguments for a logical or arithmetic operation (the arity ).
Examples The term "arity" is rarely employed in everyday usage.
For example, if the domain of discourse consists of integers, a function symbol f of arity 2 can be interpreted as the function that gives the sum of its arguments.
If the arity of the operators is fixed, the result is a syntax lacking parentheses or other brackets that can still be parsed without ambiguity.
In contrast, partial function application refers to the process of fixing a number of arguments to a function, producing another function of smaller arity.
Nullary Sometimes it is useful to consider a constant to be an operation of arity 0, and hence call it nullary.
Similarly, many axioms and theorems in mathematics are stated only for the binary versions of mathematical operations and relations, and implicitly extend to higher- arity versions.
The number of return values of an expression equals the difference between the number of operands in an expression and the total arity of the operators minus the total number of return values of the operators.
This is a function of arity 2 that takes pairs of elements of the domain and returns an ordered pair containing them.
Common combinations with arity
These word pairs occur most frequently in English texts:
- of arity 3×
- the arity 2×
- arity of 2×