Extended bra–ket notation: Difference between revisions

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We considered using a round bracket for this, [...), however it is sometimes necessary to include parenthesized expressions as entries in the bra or ket, which would be difficult to parse if we had round bra or ket brackets. A mnemonic for the curly bracket is that it resembles the tilde (~) which is commonly used to mark approximated or tempered intervals, e.g. ~3/2 is an approximation of 3/2.

We further propose that the use of the normal angle bracket could be restricted to matrix widths and heights equal only to the [[dimensionality]] of the temperament, <math>d</math>, and any other width or height besides <math>d</math> and <math>r</math> would be given with plain square brackets [...]. So, for example, a comma basis could be written [{{vector|4 -4 1}} {{vector|7 0 -3}}] because its width is equal to the [[nullity]] <math>n</math> ~~of the temperament~~.

We further propose that the use of the normal angle bracket could be restricted to matrix widths and heights equal only to the [[dimensionality]] of the temperament, <math>d</math>, and any other width or height besides <math>d</math> and <math>r</math> would be given with plain square brackets [...]. So, for example, a comma basis could be written [{{vector|4 -4 1}} {{vector|7 0 -3}}] because its width is equal to the [[nullity]] of the temperament, <math>n</math>.

==Notes==

@@ Line 147: / Line 147: @@
 We considered using a round bracket for this, [...), however it is sometimes necessary to include parenthesized expressions as entries in the bra or ket, which would be difficult to parse if we had round bra or ket brackets. A mnemonic for the curly bracket is that it resembles the tilde (~) which is commonly used to mark approximated or tempered intervals, e.g. ~3/2 is an approximation of 3/2.
-We further propose that the use of the normal angle bracket could be restricted to matrix widths and heights equal only to the [[dimensionality]] of the temperament, <math>d</math>, and any other width or height besides <math>d</math> and <math>r</math> would be given with plain square brackets [...]. So, for example, a comma basis could be written [{{vector|4 -4 1}} {{vector|7 0 -3}}] because its width is equal to the [[nullity]] <math>n</math> of the temperament.
+We further propose that the use of the normal angle bracket could be restricted to matrix widths and heights equal only to the [[dimensionality]] of the temperament, <math>d</math>, and any other width or height besides <math>d</math> and <math>r</math> would be given with plain square brackets [...]. So, for example, a comma basis could be written [{{vector|4 -4 1}} {{vector|7 0 -3}}] because its width is equal to the [[nullity]] of the temperament, <math>n</math>.
 ==Notes==