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fix(equation): 删去公式中手动 \! 负间距

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\arcsin\!\big(、\Re\!\left\{、\mathbf a_\ell\!\big( 等"函数/算子+定界符"
处的手动负间距由 LaTeX 自动排版处理，无需手动加 \!。全文删 39 处。
主文件 \newcommand{\diff}{\mathop{}\!\mathrm{d}} 中的 \! 是微分号标准间距，保留。
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josh
2026-06-16 15:28:12 +08:00
parent 8885e3e7f6
commit 0932cc9f41
9 changed files with 39 additions and 39 deletions
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parts/sec7_userPositioning.tex
+3 -3
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@@ -23,15 +23,15 @@
\begin{equation}
\mathbf u_\ell^{\mathrm{loc}}(\mathbf p)=\boldsymbol\Omega_\ell^\Tran\mathbf u_\ell(\mathbf p),
\qquad
\alpha_\ell^{\mathrm{loc}}=\operatorname{atan2}\!\big(u^{\mathrm{loc}}_{\ell,2},u^{\mathrm{loc}}_{\ell,1}\big),
\alpha_\ell^{\mathrm{loc}}=\operatorname{atan2}\big(u^{\mathrm{loc}}_{\ell,2},u^{\mathrm{loc}}_{\ell,1}\big),
\qquad
\beta_\ell^{\mathrm{loc}}=\arcsin\!\big(u^{\mathrm{loc}}_{\ell,3}\big),
\beta_\ell^{\mathrm{loc}}=\arcsin\big(u^{\mathrm{loc}}_{\ell,3}\big),
\end{equation}
%
并据此代入与第~\ref{subsec:single_arr_array_model} 小节完全相同的 \gls{ula}/\gls{upa} 阵列导向模板，得到本地导向矢量
%
\begin{equation}
\mathbf a_\ell(\mathbf p)\triangleq\mathbf a_\ell\!\big(\alpha_\ell^{\mathrm{loc}}(\mathbf p),\beta_\ell^{\mathrm{loc}}(\mathbf p)\big)\in\mathbb C^{M_\ell\times1}.
\mathbf a_\ell(\mathbf p)\triangleq\mathbf a_\ell\big(\alpha_\ell^{\mathrm{loc}}(\mathbf p),\beta_\ell^{\mathrm{loc}}(\mathbf p)\big)\in\mathbb C^{M_\ell\times1}.
\end{equation}
%
也即\emph{每阵列内部仍是平面波模型，阵列导向 $\mathbf a_\ell$ 的形式一字不改}；变的只是``本地角由 $\mathbf p$ 而非 $\boldsymbol\xi$ 诱导''。