Revision as of 23:12, 21 April 2025 by Bot (Created page with "<div class="d-none"><math> \newcommand{\mathds}{\mathbb}</math></div> {{Alert-warning|This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion. }}Prove that the dephased Hadamard matrix manifold <math display="block"> Z_N=\left\{H\in X_N\Big|H_{1j}=H_{i1}=1\right\} </math> is in general not smooth, and not a complex algebraic manifold either.")
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Apr 22'25

Exercise

[math] \newcommand{\mathds}{\mathbb}[/math]

This article was automatically generated from a tex file and may contain conversion errors. If permitted, you may login and edit this article to improve the conversion.

Prove that the dephased Hadamard matrix manifold

[[math]] Z_N=\left\{H\in X_N\Big|H_{1j}=H_{i1}=1\right\} [[/math]]

is in general not smooth, and not a complex algebraic manifold either.