User:Inthar/Style guide: Difference between revisions
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My notation may differ from conventional xen notation, especially in more technical xen theory writings. | My notation may differ from conventional xen notation, especially in more technical xen theory writings. | ||
== Variables == | == Variables == | ||
* Bolded variables denote interval sizes, especially letters of scale words. | * Capital italicized Latin letters may denote scales written cumulatively. For example: ''S''(''n'') = 100''n'' cents | ||
* Lowercase italicized Latin letters may denote scales written as steps or abstract scale [[word]]s. For example: ''s'' = '''abacaba''' | |||
* Bolded variables denote interval sizes, especially letters of scale words. For example: 5'''L''' 2'''s''' | |||
== Algebraic structures == | == Algebraic structures == | ||
* <math>\mathsf{JI}\langle p_1, ..., p_r \rangle</math> is the p<sub>1</sub>.[...].p<sub>r</sub> subgroup, the subgroup of <math>(\mathbb{Q}_{>0}, \cdot)</math> generated by rationals <math>p_1, ..., p_r.</math> | * <math>\mathsf{JI}\langle p_1, ..., p_r \rangle</math> is the p<sub>1</sub>.[...].p<sub>r</sub> subgroup, the subgroup of <math>(\mathbb{Q}_{>0}, \cdot)</math> generated by rationals <math>p_1, ..., p_r.</math> | ||
* If ''R'' is a commutative ring, <math>R^r\langle a_1, ..., a_r\rangle</math> is the rank-''r'' free ''R''-module generated by basis elements <math>a_1, ..., a_r.</math> Example: <math>\mathbb{Z}^3\langle \mathbf{L}, \mathbf{m}, \mathbf{s}\rangle</math> | * If ''R'' is a commutative ring, <math>R^r\langle a_1, ..., a_r\rangle</math> is the rank-''r'' free ''R''-module generated by basis elements <math>a_1, ..., a_r.</math> Example: <math>\mathbb{Z}^3\langle \mathbf{L}, \mathbf{m}, \mathbf{s}\rangle</math> | ||