Wedgie/Archived version: Difference between revisions
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# dividing out the greatest common divisior of the coefficients, to produce an ''r''-multival. | # dividing out the greatest common divisior of the coefficients, to produce an ''r''-multival. | ||
# If the first non-zero coefficient of this multival is negative, the multival is then scalar multiplied by -1, changing the sign of the first non-zero coefficient to be positive. | # If the first non-zero coefficient of this multival is negative, the multival is then scalar multiplied by -1, changing the sign of the first non-zero coefficient to be positive. | ||
The result is the wedgie of the rank-''r'' temperament ''V''<sub>1</sub>&...&''V''<sub>r</sub>, whose entries are | The result is the wedgie of the rank-''r'' temperament ''V''<sub>1</sub>&...&''V''<sub>r</sub>, whose entries are (ignoring steps 2 and 3): | ||
<math>W(q_{k_1}, ..., q_{k_r}) = \det[V_i(q_{k_j})]_{i,j}, \ \text{for} \ 1 < k_j < n, </math> | <math>W(q_{k_1}, ..., q_{k_r}) = \det[V_i(q_{k_j})]_{i,j}, \ \text{for} \ 1 < k_j < n, </math> | ||