Rank

1. Strong of its kind or in character; unmitigated; virulent; thorough; utter (used of negative things).

   rank nonsense

2. Strong in growth; growing with vigour or rapidity, hence, coarse or gross.

   rank grass

3. Suffering from overgrowth or hypertrophy; plethoric.
4. Causing strong growth; producing luxuriantly; rich and fertile.

   rank land

5. Strong to the senses; offensive; noisome.
6. Having a very strong and bad taste or odor.

   Your gym clothes are rank, bro – when'd you last wash 'em?

7. Complete, used as an intensifier (usually negative, referring to incompetence).

   I am a rank amateur as a wordsmith.

8. Gross, disgusting.
9. Strong; powerful; capable of acting or being used with great effect; energetic; vigorous; headstrong.
10. Inflamed with venereal appetite; ruttish.

adverb

Quickly, eagerly, impetuously.

1. 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"].

   The front rank kneeled to reload while the second rank fired over their heads.

2. In a pipe organ, a set of pipes of a certain quality for which each pipe corresponds to one key or pedal.
3. One'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. The level of one's position in a class-based society
5. A hierarchical level in an organization such as the military

   He rose up through the ranks of the company, from mailroom clerk to CEO.

6. A level in a scientific taxonomy system

   Phylum is the taxonomic rank below kingdom and above class.

7. Maximal number of linearly independent columns (or rows) of a matrix.
8. The dimensionality of an array or tensor.
9. The maximum quantity of D-linearly independent elements of a module (over an integral domain D).
10. The size of any basis of a given matroid.
11. 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.
12. (typically in the plural) A category of people, such as those who share an occupation.

1. To place abreast, or in a line.
2. To have a ranking.

   Their defense ranked third in the league.

3. To assign a suitable place in a class or order; to classify.
4. To take rank of; to outrank.