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Building Sage on OS X in 64-bit mode
# HG changeset patch
# User Ivo Hedtke <hedtke@me.com>
# Date 1311194106 -7200
# Node ID babe52826966864844cb5d2b50640a5500b784a3
# Parent ce324e28c3334398d3552640e2cb1520d22465a3
trac 11522: better typesetting for the formulas in this doc
diff -r ce324e28c333 -r babe52826966 sage/combinat/partition.py
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1306 | 1306 | def centralizer_size(self, t=0, q=0): |
1307 | 1307 | """ |
1308 | 1308 | Returns the size of the centralizer of any permutation of cycle type |
1309 | | ``self``. If m_i is the multiplicity of i as a part of p, this is given |
1310 | | by `\prod_i (i^m[i])*(m[i]!)`. Including the optional |
1311 | | parameters t and q gives the q-t analog which is the former product |
1312 | | times `\prod_{i=1}^{length(p)} (1 - q^{p[i]}) / (1 - t^{p[i]}).` |
| 1309 | ``self``. If `m_i` is the multiplicity of `i` as a part of `p`, this is given |
| 1310 | by |
| 1311 | |
| 1312 | .. math:: |
| 1313 | |
| 1314 | \prod_i m_i! i^{m_i}. |
| 1315 | |
| 1316 | Including the optional |
| 1317 | parameters `t` and `q` gives the `q`-`t` analog which is the former product |
| 1318 | times |
| 1319 | |
| 1320 | .. math:: |
| 1321 | |
| 1322 | \prod_{i=1}^{\mathrm{length}(p)} \frac{1 - q^{p_i}}{1 - t^{p_i}}. |
1313 | 1323 | |
1314 | 1324 | EXAMPLES:: |
1315 | 1325 | |