The difference between Adicity and Rank
When used as nouns, adicity 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 rank means a row of people or things organized in a grid pattern, often soldiers [the corresponding term for the perpendicular columns in such a pattern is "file"].
Rank is also adverb with the meaning: quickly, eagerly, impetuously.
Rank is also verb with the meaning: to place abreast, or in a line.
Rank is also adjective with the meaning: strong of its kind or in character.
check bellow for the other definitions of Adicity and Rank
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Adicity 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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Adicity as a noun (chemistry, obsolete):
Valence.
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Rank as an adjective:
Strong of its kind or in character; unmitigated; virulent; thorough; utter (used of negative things).
Examples:
"'rank treason"
"'rank nonsense"
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Rank as an adjective:
Strong in growth; growing with vigour or rapidity, hence, coarse or gross.
Examples:
"'rank grass"
"'rank weeds"
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Rank as an adjective:
Suffering from overgrowth or hypertrophy; plethoric.
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Rank as an adjective:
Causing strong growth; producing luxuriantly; rich and fertile.
Examples:
"'rank land"
"rfquotek Mortimer"
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Rank as an adjective:
Strong to the senses; offensive; noisome.
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Rank as an adjective:
Having a very strong and bad taste or odor.
Examples:
"Your gym clothes are rank, bro – when'd you last wash 'em?"
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Rank as an adjective:
Complete, used as an intensifier (usually negative, referring to incompetence).
Examples:
"I am a rank amateur as a wordsmith."
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Rank as an adjective (informal):
Gross, disgusting.
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Rank as an adjective (obsolete):
Strong; powerful; capable of acting or being used with great effect; energetic; vigorous; headstrong.
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Rank as an adjective (obsolete):
Inflamed with venereal appetite.
Examples:
"rfquotek Shakespeare"
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Rank as an adverb (obsolete):
Quickly, eagerly, impetuously.
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Rank as a noun:
A row of people or things organized in a grid pattern, often soldiers [the corresponding term for the perpendicular columns in such a pattern is "file"].
Examples:
"The front rank kneeled to reload while the second rank fired over their heads."
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Rank as a noun (music):
In a pipe organ, a set of pipes of a certain quality for which each pipe corresponds to one key or pedal.
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Rank as a noun:
One's position in a list sorted by a shared property such as physical location, population, or quality
Examples:
"Based on your test scores, you have a rank of 23."
"The fancy hotel was of the first rank."
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Rank as a noun:
The level of one's position in a class-based society
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Rank as a noun:
a hierarchical level in an organization such as the military
Examples:
"Private First Class (PFC) is the lowest rank in the Marines."
"He rose up through the ranks of the company from mailroom clerk to CEO."
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Rank as a noun (taxonomy):
a level in a scientific taxonomy system
Examples:
"Phylum is the taxonomic rank below kingdom and above class."
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Rank as a noun (linear algebra):
Maximal number of linearly independent columns (or rows) of a matrix.
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Rank as a noun (mathematics):
The dimensionality of an array or tensor.
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Rank as a noun (mathematics):
The size of any basis of a given matroid.
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Rank as a noun (chess):
one of the eight horizontal lines of squares on a chessboard (i.e., those identified by a number). The analog vertical lines are the files.
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Rank as a noun (typically in the plural):
A category of people, such as those who share an occupation.
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Rank as a verb:
To place abreast, or in a line.
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Rank as a verb:
To have a ranking.
Examples:
"Their defense ranked third in the league."
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Rank as a verb:
To assign a suitable place in a class or order; to classify.
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Rank as a verb (US):
To take rank of; to outrank.