copied local build book into forked template

book/basics/Mechanica.ipynb

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+{
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+  {
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+   "source": [
+    "# Mechanica"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "\n",
+    "### Quiz Notations and Products\n",
+    "\n",
+    ":::{card} Exercise 1\n",
+    "What is the type of the result of the product?\n",
+    "\n",
+    "$\\mathit{v}_i \\cdot \\mathit{A}_{ij} \\cdot \\mathit{w}_j$\n",
+    "\n",
+    "\n",
+    "```{admonition} Solution\n",
+    ":class: tip, dropdown\n",
+    "Scalar\n",
+    "```\n",
+    ":::\n",
+    "\n",
+    ":::{card} Exercise 2\n",
+    "How would you write the product\n",
+    "\n",
+    "$\\mathit{v}_i \\cdot \\mathit{A}_{ij} \\cdot \\mathit{w}_j$\n",
+    "\n",
+    "in matrix/vector notation?\n",
+    "```{admonition} Solution\n",
+    ":class: tip, dropdown\n",
+    "$\\mathbf{v}^T \\cdot \\mathbf{A} \\cdot \\mathbf{w}$\n",
+    "```\n",
+    ":::\n",
+    "\n",
+    ":::{card} Exercise 3\n",
+    "What is the type of the result of the following product?\n",
+    "\n",
+    "$\\mathit{v}_i \\cdot \\mathit{w}_j$\n",
+    "```{admonition} Solution\n",
+    ":class: tip, dropdown\n",
+    "Second order tensor\n",
+    "```\n",
+    ":::\n",
+    "\n",
+    ":::{card} Exercise 4\n",
+    "How would you write the product\n",
+    "\n",
+    "$\\mathit{A}_{ij} \\cdot \\mathit{v}_{i}$\n",
+    "\n",
+    "in matrix vector notation?\n",
+    "```{admonition} Solution\n",
+    ":class: tip, dropdown\n",
+    "$\\mathbf{A}^T \\cdot \\mathbf{v}$\n",
+    "```\n",
+    ":::\n",
+    "\n",
+    ":::{card} Exercise 5\n",
+    "How would you write the result of the product\n",
+    "\n",
+    "$\\mathit{v}_{i} \\cdot \\mathit{w}_{j}$\n",
+    "\n",
+    "in matrix vector notation?\n",
+    "```{admonition} Solution\n",
+    ":class: tip, dropdown\n",
+    "$\\mathbf{v} \\cdot \\mathbf{w}^T$\n",
+    "```\n",
+    ":::\n",
+    "\n",
+    ":::{card} Exercise 6\n",
+    "How would you write the product\n",
+    "\n",
+    "$\\mathbf{A} \\cdot \\mathbf{B}^T$\n",
+    "\n",
+    "in index notation?\n",
+    "```{admonition} Solution\n",
+    ":class: tip, dropdown\n",
+    "$\\mathit{A}_{ik} \\cdot \\mathit{B}_{jk}$\n",
+    "```\n",
+    ":::"
+   ]
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