请帮我解决商品问题

Question

我对商品有很多问题。请帮助我：

如图所示，第一项未出现，文本未格式化，并且项之后的段落未从头开始。以下是代码

\begin{itemize}
   \item A=\lbrace a_{ij}\rbrace: \textrm{the state transitions probability matrix as} \quad a_{ij}= P \left[ q_{t}=S_{j}\vert q_{t-1}=S_{i}\right]\quad \\ \textrm{with} \quad 1\leq i \leq N ; j\leq N; 0\leq a_{i}{j}\leq 1;\sum_{j=1}^{n} a_{ij}=1;\textrm{N denotes the model states number; t is the time;} q_{t} \textrm {shows the state of the model at t (a given instant) with} \quad 1 \leq t \leq T \quad \textrm{;T represents the observation sequence length; S denotes all the states set;}
   \item B=\lbrace b_{j}(k)\rbrace: \textrm{presents the observation \\symbols probability matrix with}\quad b_j(k)= P \left[O_{t}=V_{k} \vert q_{t}=S_{j}\right] \textrm{and}\quad 1\leq j \leq N ; 1 \leq k \leq M \textrm{;M is the various observation} \\\textrm{symbols number;} O_{t} \textrm{denotes the symbol of observation at (t) a given instant;}\\ V= \left \{ V_{1}\ .. \ V_{K}\right\} \textrm{shows all possible symbols of observation set;}
  \item \pi = \lbrace \pi_{i} \rbrace  \textrm{:denotes the initial state distribution with}       \pi_{i}= P \left[ q_{1}=S_{i}\right] \textrm{and}\quad 1 \leq i \leq N.
\end{itemize}

Answer 1

抱歉，如果强制输入如此糟糕的代码，没人会使用 LaTeX。永远不要忽视处理输入时收到的错误消息。

数学公式应该在里面隔离$...$，就像下面的代码一样：

\documentclass{article}

\begin{document}

$(A,B,\pi)$ having:
\begin{itemize}
\item $A=\{a_{ij}\}$: the state transitions probability
  matrix as $a_{ij}= P[ q_{t}=S_{j}\mid q_{t-1}=S_{i} ]$ with
  $1\leq i \leq N$; $j\leq N$; $0\leq a_{i}{j}\leq 1$; $\sum_{j=1}^{n} a_{ij}=1$;
  $N$ denotes the model states number; $t$ is the time; $q_{t}$ shows the
  state of the model at $t$ (a given instant) with $1 \leq t \leq T$;
  $T$ represents the observation sequence length; $S$ denotes all the states set;

\item $B=\{b_{j}(k)\}$: presents the observation symbols probability
  matrix with $b_j(k)= P[O_{t}=V_{k} \mid q_{t}=S_{j}]$ and $1\leq j \leq N$;
  $1 \leq k \leq M$; $M$ is the various observation symbols number; $O_{t}$ denotes
  the symbol of observation at $t$ a given instant; $V=\{ V_{1}\dots V_{K}\}$
  shows all possible symbols of observation set;

\item $\pi = \{\pi_{i}\}$: denotes the initial state distribution with
  $\pi_{i}= P[q_{1}=S_{i}]$ and $1 \leq i \leq N$.
\end{itemize}

\end{document}

请注意，\vert在此上下文中应该是\mid；此外，您使用的\left和\right实例不是必需的（实际上会造成伤害）。请仔细查看代码并修正您的样式。