length
length / leng(k)[unvoicedth]; lenth/ • n. 1. the measurement or extent of something from end to end; the greater of two or the greatest of three dimensions of a body: it can reach over two feet in length the length of the airport terminal. ∎ the amount of time occupied by something: delivery must be within a reasonable length of time. ∎ the quality of being long: the length of the waiting list. ∎ the full distance that a thing extends for: the muscles running the length of my spine. ∎ the extent of a garment in a vertical direction when worn: the length of her skirt. ∎ Prosody & Phonet. the metrical quantity or duration of a vowel or syllable.2. the extent of something, esp. as a unit of measurement, in particular: ∎ the length of a swimming pool as a measure of the distance swum: fifty lengths of the pool. ∎ the length of a horse, boat, etc., as a measure of the lead in a race: the mare won the race last year by seven lengths. ∎ (one's length) the full extent of one's body: he awkwardly lowered his length into the small car.3. (in bridge or whist) the number of cards of a suit held in one's hand, esp. when five or more.4. a stretch or piece of something: a stout length of wood.5. a degree or extreme to which a course of action is taken: they go to great lengths to avoid the press. PHRASES: at length1. in detail; fully: these aspects have been discussed at length.2. after a long time: at length she laid down the pencil.the length and breadth of the whole extent of: women from the length and breadth of Russia.
length
1. of a sequence. The cardinality of the domain of the sequence. Thus the sequence a1,a2,…,an
has length n.
2. of a string. The upper bound of the string, hence the number of elements in the string.
3. of a vector. The number of elements in the vector.