Interval span: Difference between revisions

Mike Battaglia (talk | contribs)
m Mike Battaglia moved page Span to Interval span
Cmloegcmluin (talk | contribs)
I think it's less confusing to say "different" here, since the linear span meaning is not really a broadening of the interval span meaning
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Various units have been used for the span of an interval. Typically [[cents]] are used, which can be thought of as the logarithm taken to the base <math>2^{1/1200}</math>. However, in mathematical situations it is often useful to work with the log base 2, meaning units of octaves, or even simply in the natural logarithm of base e, meaning units of "[[Wikipedia:Neper|nepers]]". [[Martin Gough]] introduced the unit of a "dineper" in his work on [[Logarithmic approximants]].
Various units have been used for the span of an interval. Typically [[cents]] are used, which can be thought of as the logarithm taken to the base <math>2^{1/1200}</math>. However, in mathematical situations it is often useful to work with the log base 2, meaning units of octaves, or even simply in the natural logarithm of base e, meaning units of "[[Wikipedia:Neper|nepers]]". [[Martin Gough]] introduced the unit of a "dineper" in his work on [[Logarithmic approximants]].


The term span is also used in a broader mathematical sense to refer to the linear span of a set of vectors, see [[Wikipedia:Linear span]].
The term span is also used in a different mathematical sense to refer to the linear span of a set of vectors, see [[Wikipedia:Linear span]].