Definitions
1.nounA 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"]."The front rank kneeled to reload while the second rank fired over their heads."
2.nounIn a pipe organ, a set of pipes of a certain quality for which each pipe corresponds to one key or pedal.
3.nounOne's position in a list sorted by a shared property such as physical location, population, or quality"Based on your test scores, you have a rank of 23."
4.nounThe level of one's position in a class-based society
5.nounA hierarchical level in an organization such as the military"He rose up through the ranks of the company, from mailroom clerk to CEO."
6.nounA level in a scientific taxonomy system"Phylum is the taxonomic rank below kingdom and above class."
7.nounMaximal number of linearly independent columns (or rows) of a matrix.
8.nounThe dimensionality of an array or tensor.
9.nounThe maximum quantity of D-linearly independent elements of a module (over an integral domain D).
10.nounThe size of any basis of a given matroid.
11.nounOne of the eight horizontal lines of squares on a chessboard (i.e., those identified by a number). The analog vertical lines are the files.
12.noun(typically in the plural) A category of people, such as those who share an occupation.
13.verbTo place abreast, or in a line.
14.verbTo have a ranking."Their defense ranked third in the league."
15.verbTo assign a suitable place in a class or order; to classify.
16.verbTo take rank of; to outrank.