Basis: Difference between revisions
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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 "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 vectors that appear explicitly in a basis are called the '''basis vectors'''. | 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''. | ||
The verb used for the process by which linear combinations of the basis vectors reach all of the subspace vectors is "spanning"; we say that the basis vectors '''span''' the subspace. | The verb used for the process by which linear combinations of the basis vectors reach all of the subspace vectors is "spanning"; we say that the basis vectors '''span''' the subspace. | ||