This commit is contained in:
Morten Hjorth-Jensen
2021-10-21 09:01:49 +02:00
parent 0147f62767
commit f613a9e5ca
7 changed files with 6 additions and 6 deletions
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@@ -404,7 +404,7 @@ which are non-zero, we can rewrite the above convolution expressions
as a matrix-vector multiplication
$$
\boldsymbol{\delta}=\begin{bmatriax}\alpha_0 & 0 & 0 & 0 \\
\boldsymbol{\delta}=\begin{bmatrix}\alpha_0 & 0 & 0 & 0 \\
\alpha_1 & \alpha_0 & 0 & 0 \\
\alpha_2 & \alpha_1 & \alpha_0 & 0 \\
0 & \alpha_2 & \alpha_1 & \alpha_0 \\
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@@ -3306,7 +3306,7 @@ as a matrix-vector multiplication
<p>&nbsp;<br>
$$
\boldsymbol{\delta}=\begin{bmatriax}\alpha_0 & 0 & 0 & 0 \\
\boldsymbol{\delta}=\begin{bmatrix}\alpha_0 & 0 & 0 & 0 \\
\alpha_1 & \alpha_0 & 0 & 0 \\
\alpha_2 & \alpha_1 & \alpha_0 & 0 \\
0 & \alpha_2 & \alpha_1 & \alpha_0 \\
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@@ -3318,7 +3318,7 @@ which are non-zero, we can rewrite the above convolution expressions
as a matrix-vector multiplication
$$
\boldsymbol{\delta}=\begin{bmatriax}\alpha_0 & 0 & 0 & 0 \\
\boldsymbol{\delta}=\begin{bmatrix}\alpha_0 & 0 & 0 & 0 \\
\alpha_1 & \alpha_0 & 0 & 0 \\
\alpha_2 & \alpha_1 & \alpha_0 & 0 \\
0 & \alpha_2 & \alpha_1 & \alpha_0 \\
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@@ -3323,7 +3323,7 @@ which are non-zero, we can rewrite the above convolution expressions
as a matrix-vector multiplication
$$
\boldsymbol{\delta}=\begin{bmatriax}\alpha_0 & 0 & 0 & 0 \\
\boldsymbol{\delta}=\begin{bmatrix}\alpha_0 & 0 & 0 & 0 \\
\alpha_1 & \alpha_0 & 0 & 0 \\
\alpha_2 & \alpha_1 & \alpha_0 & 0 \\
0 & \alpha_2 & \alpha_1 & \alpha_0 \\
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@@ -3475,7 +3475,7 @@
"metadata": {},
"source": [
"$$\n",
"\\boldsymbol{\\delta}=\\begin{bmatriax}\\alpha_0 & 0 & 0 & 0 \\\\\n",
"\\boldsymbol{\\delta}=\\begin{bmatrix}\\alpha_0 & 0 & 0 & 0 \\\\\n",
" \\alpha_1 & \\alpha_0 & 0 & 0 \\\\\n",
"\t\t\t \\alpha_2 & \\alpha_1 & \\alpha_0 & 0 \\\\\n",
"\t\t\t 0 & \\alpha_2 & \\alpha_1 & \\alpha_0 \\\\\n",
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@@ -2704,7 +2704,7 @@ as a matrix-vector multiplication
!bt
\[
\bm{\delta}=\begin{bmatriax}\alpha_0 & 0 & 0 & 0 \\
\bm{\delta}=\begin{bmatrix}\alpha_0 & 0 & 0 & 0 \\
\alpha_1 & \alpha_0 & 0 & 0 \\
\alpha_2 & \alpha_1 & \alpha_0 & 0 \\
0 & \alpha_2 & \alpha_1 & \alpha_0 \\