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对齐和案例环境之间的公式编号不正确

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对齐和案例环境之间的公式编号不正确

我在引用方程式时遇到问题。我使用两个方程式环境，一个是对齐，另一个是案例。下面是给出的代码：

Cost Function of Dual Dispersion MCMA is:\\
\begin{align}
J_{DD-MCMA}=&E\left[(|y_R(n )|^2 - R_{VR})^2\right]+\\
&E\left[(|y_I(n )|^2 - R_{VI})^2\right] \nonumber
\label{cf:ddmcma}
\end{align}

The dispersion constants RVR and RVI is chosen based on following criteria as given automatically during the execution of algorithm :

\begin{align}
R_{VR}&=
\begin{cases}
RR1     &\text{if $y_{R}(n)^2\:\leq\: RR1$ } \\
RR2     &\text{if $y_{R}(n)^2\:\leq\: RR2$ } \\
RR2     &\text{otherwise}
\end{cases} \\
R_{VI}&=
\begin{cases}
RI1     &\text{if $y_{I}(n)^2\:\leq\: RI1$ } \\
RI2     &\text{if $y_{I}(n)^2\:\leq\: RI2$ } \\
RI2     &\text{otherwise}
\end{cases}
\label{dc:ddmcma}
\end{align}

当我试图引用它就像

\par In order to obtain the stochastic gradient adaptive algorithm tap update equation, we differentiate the cost function in equation \eqref{cf:ddmcma} with respect to equalizer tap weight vector w and approximating the expectation with
the instantaneous values gives

LATEX 的输出打印了case环境中方程的方程编号，正如我所提到的，要从对齐折磨者方程中显示的方程编号。例如，如果对齐环境方程编号是11并且案例环境方程数为12和十三然后方程引用显示12代替11。 请帮忙。

答案1

您的问题是\nonumber放置\label在第一个方程中的命令之前的命令。

尝试这样做：

\documentclass{article}
\usepackage{amsmath}
\begin{document}
Cost Function of Dual Dispersion MCMA is:
\begin{align}
J_{DD-MCMA}=&E\left[(|y_R(n )|^2 - R_{VR})^2\right]+\label{cf:ddmcma}\\
&E\left[(|y_I(n )|^2 - R_{VI})^2\right] \nonumber
\end{align}

The dispersion constants RVR and RVI is chosen based on following criteria as given automatically during the execution of algorithm :
\begin{align}
R_{VR}=&
\begin{cases}
RR1     &\text{if $y_{R}(n)^2\:\leq\: RR1$ } \\
RR2     &\text{if $y_{R}(n)^2\:\leq\: RR2$ } \\
RR2     &\text{otherwise}
\end{cases} \\
R_{VI}=&
\begin{cases}
RI1     &\text{if $y_{I}(n)^2\:\leq\: RI1$ } \\
RI2     &\text{if $y_{I}(n)^2\:\leq\: RI2$ } \\
RI2     &\text{otherwise}
\end{cases}
\label{dc:ddmcmb}
\end{align}

Eq \ref{cf:ddmcma} and \ref{dc:ddmcmb}
\end{document}

现在第一个参考是关于数字（1）而不是未编号的（所以下一个）等式......

答案2

\label您在行后使用\nonumber（因此无法通过编号引用）。只需将其放入编号行中（或之前）：

\documentclass{article}
\usepackage{amsmath}
\begin{document}
Cost Function of Dual Dispersion MCMA is:\\
\begin{align}
J_{DD-MCMA}={}&E\left[(|y_R(n )|^2 - R_{VR})^2\right]+\label{cf:ddmcma}\\
&E\left[(|y_I(n )|^2 - R_{VI})^2\right] \nonumber
\end{align}

The dispersion constants RVR and RVI is chosen based on following criteria as given automatically during the execution of algorithm :

\begin{align}
R_{VR}&=
\begin{cases}
RR1     &\text{if $y_{R}(n)^2\:\leq\: RR1$ } \\
RR2     &\text{if $y_{R}(n)^2\:\leq\: RR2$ } \\
RR2     &\text{otherwise}
\end{cases} \\
R_{VI}&=
\begin{cases}
RI1     &\text{if $y_{I}(n)^2\:\leq\: RI1$ } \\
RI2     &\text{if $y_{I}(n)^2\:\leq\: RI2$ } \\
RI2     &\text{otherwise}
\end{cases}
\label{dc:ddmcma}
\end{align}

\par In order to obtain the stochastic gradient adaptive algorithm tap update equation, we differentiate the cost function in equation \eqref{cf:ddmcma} with respect to equalizer tap weight vector w and approximating the expectation with
the instantaneous values gives

\end{document}

结果

答案3

正如其他答案已经指出的那样，\nonumber第一个align环境中的指令是问题的直接原因。

除了省略不需要的\nonumber指令外，您可能还想考虑替换整个第一个align环境，因为换行既不必要也不要求。另一方面，请花点时间将各种常量和首字母缩略词（例如DD-MCMA）排版得更有吸引力。

在此处输入图片描述

\documentclass{article}
\usepackage{amsmath}
\DeclareMathOperator{\E}{E} % expectation operator (?)
\newcommand\vn[1]{\textit{#1}} % "variable name"
\begin{document}

Cost function of Dual Dispersion MCMA is:
\begin{equation} \label{cf:ddmcma}
J_{\vn{DD-MCMA}}=
\E\bigl[(|y^{}_{R}(n)|^2 - R_{\vn{VR}})^2\bigr]+
\E\bigl[(|y^{}_{I}(n)|^2 - R_{\vn{VI}})^2\bigr] 
\end{equation}
The dispersion constants $R_{\vn{VR}}$ and
$R_{\vn{VI}}$ are chosen based on following 
criteria as given automatically during the 
execution of algorithm:
\begin{align}
R_{\vn{VR}} &=
\begin{cases}
RR1     &\text{if $y^{}_{R}(n)^2\leq RR1$} \\
RR2     &\text{if $y^{}_{R}(n)^2\leq RR2$} \\
RR2     &\text{otherwise}
\end{cases} \label{dc:ddmcmb} \\
R_{\vn{VI}} &=
\begin{cases}
RI1     &\text{if $y^{}_{I}(n)^2\leq RI1$} \\
RI2     &\text{if $y^{}_{I}(n)^2\leq RI2$} \\
RI2     &\text{otherwise}
\end{cases} \label{dc:ddmcmc}
\end{align}

Equations \eqref{cf:ddmcma} and \eqref{dc:ddmcmc} \dots
\end{document}

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