Basis: Difference between revisions
Cmloegcmluin (talk | contribs) Removed redirect to Generator#Generators in math and JI subgroups Tags: Removed redirect Visual edit: Switched |
Cmloegcmluin (talk | contribs) null-space > nullspace, for pedagogy |
||
| Line 15: | Line 15: | ||
In mathematical language, a [[Wikipedia:Basis_(linear_algebra)|basis]] for a [[Wikipedia:Linear_subspace|subspace]] of a [[Wikipedia:Vector_space|vector space]] is a minimal set of [[Wikipedia:Vector_(mathematics_and_physics)|vectors]] that [[Wikipedia:Linear_span|span]] the subspace. | In mathematical language, a [[Wikipedia:Basis_(linear_algebra)|basis]] for a [[Wikipedia:Linear_subspace|subspace]] of a [[Wikipedia:Vector_space|vector space]] is a minimal set of [[Wikipedia:Vector_(mathematics_and_physics)|vectors]] that [[Wikipedia:Linear_span|span]] the subspace. | ||
The larger set of vectors it represents is called the '''subspace'''. A mathematical word for the set of all commas tempered out by a temperament is a " | The larger set of vectors it represents is called the '''subspace'''. A mathematical word for the set of all commas tempered out by a temperament is a "null-space", and specifically this is the null-space of its [[mapping]] matrix; "null-space" uses the word "space" in this same sense of a "subspace". | ||
The explicitly listed vectors of a basis are called '''basis vectors'''. | The explicitly listed vectors of a basis are called '''basis vectors'''. | ||