@ -23,6 +23,7 @@
"\\end{align}\n",
"```\n",
"### Display\n",
"\n",
"\\begin{align}\n",
"\\dot{x} & = \\sigma(y-x) \\\\\n",
"\\dot{y} & = \\rho x - y - xz \\\\\n",
@ -42,6 +43,7 @@
"\\end{equation*}\n",
"```\n",
"### Display\n",
"\n",
"\\begin{equation*}\n",
"\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq \\left( \\sum_{k=1}^n a_k^2 \\right) \\left( \\sum_{k=1}^n b_k^2 \\right)\n",
"\\end{equation*}"
@ -63,6 +65,7 @@
"\\end{equation*}\n",
"```\n",
"### Display\n",
"\n",
"\\begin{equation*}\n",
"\\mathbf{V}_1 \\times \\mathbf{V}_2 = \\begin{vmatrix}\n",
"\\mathbf{i} & \\mathbf{j} & \\mathbf{k} \\\\\n",
@ -84,6 +87,7 @@
"\\end{equation*}\n",
"```\n",
"### Display\n",
"\n",
"\\begin{equation*}\n",
"P(E) = {n \\choose k} p^k (1-p)^{ n-k} \n",
"\\end{equation*}"
@ -124,6 +128,7 @@
"\\end{equation*}\n",
"```\n",
"### Display\n",
"\n",
"\\begin{equation*}\n",
"1 + \\frac{q^2}{(1-q)}+\\frac{q^6}{(1-q)(1-q^2)}+\\cdots =\n",
"\\prod_{j=0}^{\\infty}\\frac{1}{(1-q^{5j+2})(1-q^{5j+3})},\n",
@ -145,6 +150,7 @@
"\\end{align}\n",
"```\n",
"### Display\n",
"\n",
"\\begin{align}\n",
"\\nabla \\times \\vec{\\mathbf{B}} -\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{E}}}{\\partial t} & = \\frac{4\\pi}{c}\\vec{\\mathbf{j}} \\\\ \\nabla \\cdot \\vec{\\mathbf{E}} & = 4 \\pi \\rho \\\\\n",
"\\nabla \\times \\vec{\\mathbf{E}}\\, +\\, \\frac1c\\, \\frac{\\partial\\vec{\\mathbf{B}}}{\\partial t} & = \\vec{\\mathbf{0}} \\\\\n",
@ -156,7 +162,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"# Equation Numbering and References\n",
"## Equation Numbering and References\n",
"\n",
"Equation numbering and referencing will be available in a future version of the Jupyter notebook."
]
@ -182,7 +188,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
"# Other Syntax\n",
"## Other Syntax\n",
"\n",
"You will notice in other places on the web that `$$` are needed explicitly to begin and end MathJax typesetting. This is **not** required if you will be using TeX environments, but the Jupyter notebook will accept this syntax on legacy notebooks. \n",
"\n",
@ -266,7 +272,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.4.3 "
"version": "3.5.1 "
}
},
"nbformat": 4,