The difference between Arity and Type
When used as nouns, arity means the number of arguments or operands a function or operation takes. for a relation, the number of domains in the corresponding cartesian product, whereas type means a grouping based on shared characteristics.
Type is also verb with the meaning: to put text on paper using a typewriter.
check bellow for the other definitions of Arity and Type
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Arity as a noun (logic, mathematics, computer science):
The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product.
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Arity as a noun (mathematics, computer science):
The maximum number of child nodes that any node in a given tree (data structure) may have.
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Arity as a noun (Lojban, _, grammar):
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).
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Type as a noun:
A grouping based on shared characteristics; a class.
Examples:
"This type of plane can handle rough weather more easily than that type of plane."
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Type as a noun:
An individual considered typical of its class, one regarded as typifying a certain profession, environment, etc.
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Type as a noun:
An individual that represents the ideal for its class; an embodiment.
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Type as a noun (printing, countable):
A letter or character used for printing, historically a cast or engraved block. Such types collectively, or a set of type of one font or size. Text printed with such type, or imitating its characteristics.
Examples:
"The headline was set in bold type."
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Type as a noun (taxonomy):
Something, often a specimen, selected as an objective anchor to connect a scientific name to a taxon; this need not be representative or typical.
Examples:
"the type of a genus, family, etc."
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Type as a noun:
Preferred sort of person; sort of person that one is attracted to.
Examples:
"We can't get along: he's just not my type."
"He was exactly her type."
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Type as a noun (medicine):
A blood group.
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Type as a noun (corpus linguistics):
A word that occurs in a text or corpus irrespective of how many times it occurs, as opposed to a token.
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Type as a noun (theology):
An event or person that prefigures or foreshadows a later event - commonly an Old Testament event linked to Christian times.
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Type as a noun (computing theory):
A tag attached to variables and values used in determining which kinds of value can be used in which situations; a data type.
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Type as a noun (fine arts):
The original object, or class of objects, scene, face, or conception, which becomes the subject of a copy; especially, the design on the face of a medal or a coin.
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Type as a noun (chemistry):
A simple compound, used as a mode or pattern to which other compounds are conveniently regarded as being related, and from which they may be actually or theoretically derived.
Examples:
"The fundamental types used to express the simplest and most essential chemical relations are hydrochloric acid, water, ammonia, and methane."
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Type as a noun (mathematics):
A part of the partition of the object domain of a logical theory (which due to the existence of such partition, would be called a typed theory). (Note: this corresponds to the notion of "data type" in computing theory.)
Examples:
"Categorial grammar is like a combination of context-free grammar and types."
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Type as a verb:
To put text on paper using a typewriter.
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Type as a verb:
To enter text or commands into a computer using a keyboard.
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Type as a verb:
To determine the blood type of.
Examples:
"The doctor ordered the lab to type the patient for a blood transfusion."
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Type as a verb:
To represent by a type, model, or symbol beforehand; to prefigure.
Examples:
"rfquotek White (Johnson)"
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Type as a verb:
To furnish an expression or copy of; to represent; to typify.
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Type as a verb:
To categorize into types.