1

I wanted to ask if you could tell me why the formula in the comment area doesn't work in the {defn} area without '%'.

 \begin{defn}
  Let $n \times n$ \emph{Hessenberg-Matrix} $\pmb{H}_n$ with coefficients $\beta_j^k$ be

$$\pmb{H_n}=\begin{pmatrix}
\beta_0^0 & \beta_1^1 & \cdots &\beta_{n-1}^{n-1}\\
1  & \ddots & \quad & \vdots\\
\vdots & \ddots  \\
0 & \dots & 1  & \beta_0^{n-1}   
\end{pmatrix}.$$

%and \pmb{\pi}(t)= \[\pi_0(t),\pi_1(t),\dots,\pi_{n-1}(t)\]^T
\end{defn}
4

\[...\] is the preferred way to initiate/set a display math equation, rather than $$...$$. See Why is \[ ... \] preferable to $$ ... $$?.

Two things you need to change in order for your definition to compile:

  1. You need to set math content in math mode, so use $...$ (or \(...\)).

  2. Vector notation uses [...], not \[...\], which is used for a display math equation (see above).

You're probably after

and $\pmb{\pi}(t) = [ \pi_0(t), \pi_1(t), \dots, \pi_{n-1}(t) ]^T$.

As an aside, keep the document content and structure together by not leaving a blank line between the preceding and following text for a display equation:

Let $n \times n$ \emph{Hessenberg-Matrix} $\pmb{H}_n$ with coefficients $\beta_j^k$ be
\[
  \pmb{H_n} = \begin{pmatrix}
    \beta_0^0 & \beta_1^1 & \cdots & \beta_{n-1}^{n-1} \\
        1     &  \ddots   & \quad  &      \vdots       \\
     \vdots   &  \ddots                                \\
        0     &   \dots   &    1   &   \beta_0^{n-1}
  \end{pmatrix}
\]
and $\pmb{\pi}(t) = [ \pi_0(t), \pi_1(t), \dots, \pi_{n-1}(t) ]^T$.
  • 3
    Rather than \pmb, \bm from the bm package is recommended. – egreg Jul 9 '18 at 21:14

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