Wedgie: Difference between revisions
→Derivation from mapping matrices: + Python script |
→Derivation from mapping matrices: expand. + quest for inverse operation |
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{{Todo|inline=1| expand }} | {{Todo|inline=1| expand }} | ||
== | == Conversion == | ||
{{ | === Mapping matrix to wedgie === | ||
The wedgie may be found from the mapping by taking the {{w|determinant}}s of the mapping's column slices that correspond to all the combinations of formal primes. | |||
Below is a | Below is a [https://www.python.org/ Python] script that finds the wedgie from a mapping matrix, using [https://scipy.org/ Scipy]. | ||
<syntaxhighlight lang="python"> | <syntaxhighlight lang="python"> | ||
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combinations = itertools.combinations (range (breeds.shape[1]), breeds.shape[0]) | combinations = itertools.combinations (range (breeds.shape[1]), breeds.shape[0]) | ||
wedgie = np.array ([linalg.det (breeds[:, entry]) for entry in combinations]) | wedgie = np.array ([linalg.det (breeds[:, entry]) for entry in combinations]) | ||
# normalize for a positive first entry | |||
if wedgie[0] < 0: | if wedgie[0] < 0: | ||
wedgie *= -1 | wedgie *= -1 | ||
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return wedgie | return wedgie | ||
</syntaxhighlight> | </syntaxhighlight> | ||
=== Wedgie to mapping matrix === | |||
{{Todo|inline=1| expand }} | |||
== Derivation from edo joins == | == Derivation from edo joins == | ||