我能得到一些帮助来整理我的方程式吗?

我能得到一些帮助来整理我的方程式吗?

嗨,我是 Latex 新手,需要帮助整理我的方程式。这是我有的。

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  • 我需要方程(3)与数字(3)对齐
  • 方程 (5) 和 (6) 仅彼此居中且对齐

这是 mwe。https://www.overleaf.com/latex/templates/icml-2019-submission-template/vkqjjvzjvhdc

%%%%%%%% ICML 2019 EXAMPLE LATEX SUBMISSION FILE %%%%%%%%%%%%%%%%%

\documentclass{article}

% Recommended, but optional, packages for figures and better typesetting:
\usepackage{microtype}
\usepackage{graphicx}
\usepackage{subfigure}
\usepackage{booktabs} % for professional tables
\usepackage{amsmath}

% hyperref makes hyperlinks in the resulting PDF.
% If your build breaks (sometimes temporarily if a hyperlink spans a page)
% please comment out the following usepackage line and replace
% \usepackage{icml2019} with \usepackage[nohyperref]{icml2019} above.
\usepackage{hyperref}

% Attempt to make hyperref and algorithmic work together better:
\newcommand{\theHalgorithm}{\arabic{algorithm}}

% Use the following line for the initial blind version submitted for review:
\usepackage{icml2019}

% If accepted, instead use the following line for the camera-ready submission:
%\usepackage[accepted]{icml2019}

% The \icmltitle you define below is probably too long as a header.
% Therefore, a short form for the running title is supplied here:
\icmltitlerunning{Submission and Formatting Instructions for ICML 2019}

\begin{document}

\twocolumn[
\icmltitle{Submission and Formatting Instructions for \\
           International Conference on Machine Learning (ICML 2019)}

% It is OKAY to include author information, even for blind
% submissions: the style file will automatically remove it for you
% unless you've provided the [accepted] option to the icml2019
% package.

% List of affiliations: The first argument should be a (short)
% identifier you will use later to specify author affiliations
% Academic affiliations should list Department, University, City, Region, Country
% Industry affiliations should list Company, City, Region, Country

% You can specify symbols, otherwise they are numbered in order.
% Ideally, you should not use this facility. Affiliations will be numbered
% in order of appearance and this is the preferred way.
\icmlsetsymbol{equal}{*}

\begin{icmlauthorlist}
\icmlauthor{Aeiau Zzzz}{equal,to}
\icmlauthor{Bauiu C.~Yyyy}{equal,to,goo}
\icmlauthor{Cieua Vvvvv}{goo}
\icmlauthor{Iaesut Saoeu}{ed}
\icmlauthor{Fiuea Rrrr}{to}
\icmlauthor{Tateu H.~Yasehe}{ed,to,goo}
\icmlauthor{Aaoeu Iasoh}{goo}
\icmlauthor{Buiui Eueu}{ed}
\icmlauthor{Aeuia Zzzz}{ed}
\icmlauthor{Bieea C.~Yyyy}{to,goo}
\icmlauthor{Teoau Xxxx}{ed}
\icmlauthor{Eee Pppp}{ed}
\end{icmlauthorlist}

\icmlaffiliation{to}{Department of Computation, University of Torontoland, Torontoland, Canada}
\icmlaffiliation{goo}{Googol ShallowMind, New London, Michigan, USA}
\icmlaffiliation{ed}{School of Computation, University of Edenborrow, Edenborrow, United Kingdom}

\icmlcorrespondingauthor{Cieua Vvvvv}{[email protected]}
\icmlcorrespondingauthor{Eee Pppp}{[email protected]}

% You may provide any keywords that you
% find helpful for describing your paper; these are used to populate
% the "keywords" metadata in the PDF but will not be shown in the document
\icmlkeywords{Machine Learning, ICML}

\vskip 0.3in
]

% this must go after the closing bracket ] following \twocolumn[ ...

% This command actually creates the footnote in the first column
% listing the affiliations and the copyright notice.
% The command takes one argument, which is text to display at the start of the footnote.
% The \icmlEqualContribution command is standard text for equal contribution.
% Remove it (just {}) if you do not need this facility.

%\printAffiliationsAndNotice{}  % leave blank if no need to mention equal contribution
\printAffiliationsAndNotice{\icmlEqualContribution} % otherwise use the standard text.

\begin{abstract}
This document provides a basic paper template and submission guidelines.
Abstracts must be a single paragraph, ideally between 4--6 sentences long.
Gross violations will trigger corrections at the camera-ready phase.
\end{abstract}

\section{Electronic Submission}
\label{submission}

\small
\begin{align}
  \hspace*{-0.2cm} i_t &= \sigma(W_{\!\textit{xi}} * X_t + W_{\textit{hi}} * H_{t-1} + W_{\!\textit{ci}} \circ C_{t-1} + b_i)\\
  \hspace*{-0.2cm} f_t &= \sigma(W_{\!\textit{xf}} * X_t + W_{\textit{hf}} * H_{t-1} + W_{\!\textit{cf}} \circ C_{t-1} + b_f)\\
  \hspace*{-0.2cm} C_t &= f_t \circ C_{t-1} + i_t \circ \tanh(W_{\!\textit{xc}} * X_t + W_{\!\textit{hc}} * H_{t-1} + b_c)\\
  \hspace*{-0.2cm} o_t &= \sigma(W_{\!\textit{xo}} * X_t + W_{\!\textit{ho}} * H_{t-1} + W_{\!\textit{co}} \circ C_{t} + b_o)\\
  S_t &= o_t \circ \textnormal{tanh}(C_t)\\
  H_{t,ij} &= \frac{||S_{t,ij}^2||}{1 + ||S_{t,ij}^2||} \frac{S_{t,ij}}{||S_{t,ij}||}
\end{align}

\end{document}

编辑:感谢 leandriis 的回答。但为什么 overleaf 会突出显示所有内容,好像这是错误一样?当我将 align 嵌套在 gather 中时,就会发生这种情况

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答案1

结合您之前三个问题的评论和答案,我最终得到了以下 MWE。在其中,我在一个环境align中使用了两个环境,gather正如我之前推荐的那样。对于第一个变体,我保留了\small字体大小和\hspace*命令,而在第二个示例中,我将第三个方程拆分为两行,以防止方程编号向下移动。这是已由 Mico 推荐

在此处输入图片描述

\documentclass{article}
\usepackage{amsmath}
\usepackage{icml2019}

\begin{document}

\section{Electronic Submission}
\label{submission}

\small
\begin{gather}
  \begin{align}
    \hspace*{-0.2cm} i_t &= \sigma(W_{\!\textit{xi}} * X_t + W_{\textit{hi}} * H_{t-1} + W_{\!\textit{ci}} \circ C_{t-1} + b_i)\\
    \hspace*{-0.2cm} f_t &= \sigma(W_{\!\textit{xf}} * X_t + W_{\textit{hf}} * H_{t-1} + W_{\!\textit{cf}} \circ C_{t-1} + b_f)\\
    \hspace*{-0.2cm} C_t &= f_t \circ C_{t-1} + i_t \circ \tanh(W_{\!\textit{xc}} * X_t + W_{\!\textit{hc}} * H_{t-1} + b_c)\\
    \hspace*{-0.2cm} o_t &= \sigma(W_{\!\textit{xo}} * X_t + W_{\!\textit{ho}} * H_{t-1} + W_{\!\textit{co}} \circ C_{t} + b_o)
  \end{align}\\
  \begin{align}
    S_t &= o_t \circ \tanh(C_t)\\
    H_{t,ij} &= \frac{||S_{t,ij}^2||}{1 + ||S_{t,ij}^2||} \frac{S_{t,ij}}{||S_{t,ij}||}
  \end{align}
\end{gather}
\normalsize

\begin{gather}
  \begin{align}
     i_t &= \sigma(W_{\!\textit{xi}} * X_t + W_{\textit{hi}} * H_{t-1} + W_{\!\textit{ci}} \circ C_{t-1} + b_i)\\
     f_t &= \sigma(W_{\!\textit{xf}} * X_t + W_{\textit{hf}} * H_{t-1} + W_{\!\textit{cf}} \circ C_{t-1} + b_f)\\
     C_t &= f_t \circ C_{t-1} \notag\\
         &+ i_t \circ \tanh(W_{\!\textit{xc}} * X_t + W_{\!\textit{hc}} * H_{t-1} + b_c)\\
     o_t &= \sigma(W_{\!\textit{xo}} * X_t + W_{\!\textit{ho}} * H_{t-1} + W_{\!\textit{co}} \circ C_{t} + b_o)
  \end{align}\\
  \begin{align}
    S_t &= o_t \circ \tanh(C_t)\\
    H_{t,ij} &= \frac{||S_{t,ij}^2||}{1 + ||S_{t,ij}^2||} \frac{S_{t,ij}}{||S_{t,ij}||}
  \end{align}
\end{gather}

\end{document}

答案2

我也会在环境align中使用一对环境gather。我会不是不过,请使用。为了使所有六个方程式都符合,我将重置、和\hspace*{-0.2cm}的值。这些参数控制在数学运算符两侧插入的空格量。thinmuskip\medmuskip\thickmuskip

哦,我不会写||,即两个连续的|符号来创建“标准”分隔符。相反,使用\lVert\rVert或者更优雅地加载包并创建带有可变大小围栏mathtools的宏。\norm

在此处输入图片描述

\documentclass{article}
\usepackage{microtype}
\usepackage{graphicx}
%\usepackage{subfigure} % this package is deprecated
\usepackage{booktabs}

\usepackage{mathtools} % superset of 'amsmath' package
\DeclarePairedDelimiter\norm\lVert\rVert

\newcommand\vn[1]{\textit{#1}} % how to typeset variable names

\usepackage[colorlinks]{hyperref}
\newcommand{\theHalgorithm}{\arabic{algorithm}}

\usepackage{icml2019}

\begin{document}

\section{Electronic Submission}
\label{submission}

\begingroup  %localize the scope of the following instructions
\small
\thickmuskip=2.5mu % choose values half as large as the defaults
\medmuskip=2mu
\thinmuskip=1.5mu
\begin{gather}
\begin{align}
  i_t &= \sigma(W_{\!\vn{xi}} * X_t + 
                W_{\vn{hi}} * H_{t-1} + 
                W_{\!\vn{ci}} \circ C_{t-1} + b_i)\\
  f_t &= \sigma(W_{\!\vn{xf}} * X_t + 
                W_{\vn{hf}} * H_{t-1} + 
                W_{\!\vn{cf}} \circ C_{t-1} + b_{\vn{f}})\\
  C_t &= f_t \circ C_{t-1} + i_t \circ 
         \tanh(W_{\!\vn{xc}} * X_t + 
         W_{\!\vn{hc}} * H_{t-1} + b_c)\\
  o_t &= \sigma(W_{\!\vn{xo}} * X_t + 
                W_{\!\vn{ho}} * H_{t-1} + 
                W_{\!\vn{co}} \circ C_{t} + b_o)
\end{align}\\
\begin{align}
  S_t      &= o_t \circ \tanh(C_t)\\
  H_{t,ij} &= \frac{\norm{S_{t,ij}^2}}{1+\norm{S_{t,ij}^2}} 
              \frac{S_{t,ij}}{\norm{S_{t,ij}}}
\end{align}
\end{gather}
\endgroup

\end{document}

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