Basis: Difference between revisions

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In mathematical language, a 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.

For example, 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".

For example, a mathematical word for the set of all commas tempered out by a temperament is a "nullspace", and specifically this is the nullspace of its [[mapping]] matrix; "nullspace" uses the word "space" in this same sense of a "subspace".

The vectors that appear explicitly in a basis are called the '''basis vectors'''. More generally we can refer to these as '''basis elements'''; for example, if {{vector|-1 1}} was a basis ''vector'', we could say <math>\frac32</math> was a basis ''element''.

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 In mathematical language, a 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.
-For example, 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".
+For example, a mathematical word for the set of all commas tempered out by a temperament is a "nullspace", and specifically this is the nullspace of its [[mapping]] matrix; "nullspace" uses the word "space" in this same sense of a "subspace".
 The vectors that appear explicitly in a basis are called the '''basis vectors'''. More generally we can refer to these as '''basis elements'''; for example, if {{vector|-1 1}} was a basis ''vector'', we could say <math>\frac32</math> was a basis ''element''.