linearly
Adverb
Meaning
In a linear manner; with lines.
Source: Webster's dictionarySynonyms
Antonyms
Show all antonymsPhrases with the word
Examples
linearly polarized radiation
it grew linearly
A basis for a subspace S is a set of linearly independent vectors whose span is S. The number of elements in a basis is always equal to the geometric dimension of the subspace.
Also many vector sets can be attributed a standard basis which comprises both spanning and linearly independent vectors.
A set paired with a total order is called a totally ordered set, a linearly ordered set, a simply ordered set, or a chain.
Any set of vectors that spans V can be reduced to a basis for V by discarding vectors if necessary (i.e. if there are linearly dependent vectors in the set).