definition
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"].
example
The front rank kneeled to reload while the second rank fired over their heads.
definition
In a pipe organ, a set of pipes of a certain quality for which each pipe corresponds to one key or pedal.
definition
One's position in a list sorted by a shared property such as physical location, population, or quality
example
Based on your test scores, you have a rank of 23.
definition
The level of one's position in a class-based society
definition
A hierarchical level in an organization such as the military
example
He rose up through the ranks of the company, from mailroom clerk to CEO.
definition
A level in a scientific taxonomy system
example
Phylum is the taxonomic rank below kingdom and above class.
definition
Maximal number of linearly independent columns (or rows) of a matrix.
definition
The dimensionality of an array or tensor.
definition
The maximum quantity of D-linearly independent elements of a module (over an integral domain D).
definition
The size of any basis of a given matroid.
definition
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.
definition
(typically in the plural) A category of people, such as those who share an occupation.