User:Inthar/Style guide: Difference between revisions
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** <math>\mathsf{MOS}(5,2;6)(\mathbf{L}, \mathbf{s}) = \mathbf{LLLsLLs}</math> | ** <math>\mathsf{MOS}(5,2;6)(\mathbf{L}, \mathbf{s}) = \mathbf{LLLsLLs}</math> | ||
** Blackdye is <math>\mathsf{Flought}(\mathrm{Pyth}[5]; 10/9)</math> | ** Blackdye is <math>\mathsf{Flought}(\mathrm{Pyth}[5]; 10/9)</math> | ||
== Algebraic structures == | == Algebraic structures == | ||
* <math>\mathrm{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>\mathrm{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> | ||
== Discrete sets == | |||
*<math>[n]_k</math> denotes <math>\{k, k+1, ..., k+n-1\}.</math> I may also use <math>[i:j]</math> for <math>[j-i]_i.</math> | |||