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src/sage/modules/free_module_integer.py

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@@ -899,11 +899,12 @@ def babai(self, *args, **kwargs):
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def hadamard_ratio(self, use_reduced_basis=True):
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"""
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Computes the normalized Hadamard ratio of the given basis.
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Computes the normalized Hadamard ratio of the given basis.
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The normalized Hadamard ratio of the basis `B = \{v_1, v_2, \dots, v_n\} is defined as
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.. MATH::
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\mathcal{H}(B) = \left(\dfrac{det L}{\|v_1\| \|v_2\| \cdots \|v_n\|}\right)^{\frac{1}{n}}
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The closer this ratio is to 1, the more orthogonal the basis is.

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