{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# $\\LaTeX$ Math\n", "\n", "This is just markdown that can include latex math.\n", "\n", "$$\n", "\\begin{align}\n", "\\dot{x} & = \\sigma(y-x) \\\\\n", "\\dot{y} & = \\rho x - y - xz \\\\\n", "\\dot{z} & = -\\beta z + xy\n", "\\end{align}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# System Info\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "R version 3.5.1 (2018-07-02)\n", "Platform: x86_64-apple-darwin15.6.0 (64-bit)\n", "Running under: macOS High Sierra 10.13.1\n", "\n", "Matrix products: default\n", "BLAS: /Library/Frameworks/R.framework/Versions/3.5/Resources/lib/libRblas.0.dylib\n", "LAPACK: /Library/Frameworks/R.framework/Versions/3.5/Resources/lib/libRlapack.dylib\n", "\n", "locale:\n", "[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8\n", "\n", "attached base packages:\n", "[1] stats graphics grDevices utils datasets methods base \n", "\n", "loaded via a namespace (and not attached):\n", " [1] compiler_3.5.1 magrittr_1.5 IRdisplay_0.5.0 \n", " [4] pbdZMQ_0.3-3 tools_3.5.1 htmltools_0.3.6 \n", " [7] base64enc_0.1-3 crayon_1.3.4 Rcpp_0.12.18 \n", "[10] uuid_0.1-2 stringi_1.2.4 IRkernel_0.8.12.9000\n", "[13] jsonlite_1.5 stringr_1.3.1 digest_0.6.18 \n", "[16] repr_0.15.0 evaluate_0.11 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# session info\n", "sessionInfo()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
Sepal.Length | Sepal.Width | Petal.Length | Petal.Width | Species |
---|---|---|---|---|
5.1 | 3.5 | 1.4 | 0.2 | setosa |
4.9 | 3.0 | 1.4 | 0.2 | setosa |
4.7 | 3.2 | 1.3 | 0.2 | setosa |
4.6 | 3.1 | 1.5 | 0.2 | setosa |
5.0 | 3.6 | 1.4 | 0.2 | setosa |
5.4 | 3.9 | 1.7 | 0.4 | setosa |
4.6 | 3.4 | 1.4 | 0.3 | setosa |
5.0 | 3.4 | 1.5 | 0.2 | setosa |
4.4 | 2.9 | 1.4 | 0.2 | setosa |
4.9 | 3.1 | 1.5 | 0.1 | setosa |
5.4 | 3.7 | 1.5 | 0.2 | setosa |
4.8 | 3.4 | 1.6 | 0.2 | setosa |
4.8 | 3.0 | 1.4 | 0.1 | setosa |
4.3 | 3.0 | 1.1 | 0.1 | setosa |
5.8 | 4.0 | 1.2 | 0.2 | setosa |
5.7 | 4.4 | 1.5 | 0.4 | setosa |
5.4 | 3.9 | 1.3 | 0.4 | setosa |
5.1 | 3.5 | 1.4 | 0.3 | setosa |
5.7 | 3.8 | 1.7 | 0.3 | setosa |
5.1 | 3.8 | 1.5 | 0.3 | setosa |
5.4 | 3.4 | 1.7 | 0.2 | setosa |
5.1 | 3.7 | 1.5 | 0.4 | setosa |
4.6 | 3.6 | 1.0 | 0.2 | setosa |
5.1 | 3.3 | 1.7 | 0.5 | setosa |
4.8 | 3.4 | 1.9 | 0.2 | setosa |
5.0 | 3.0 | 1.6 | 0.2 | setosa |
5.0 | 3.4 | 1.6 | 0.4 | setosa |
5.2 | 3.5 | 1.5 | 0.2 | setosa |
5.2 | 3.4 | 1.4 | 0.2 | setosa |
4.7 | 3.2 | 1.6 | 0.2 | setosa |
⋮ | ⋮ | ⋮ | ⋮ | ⋮ |
6.9 | 3.2 | 5.7 | 2.3 | virginica |
5.6 | 2.8 | 4.9 | 2.0 | virginica |
7.7 | 2.8 | 6.7 | 2.0 | virginica |
6.3 | 2.7 | 4.9 | 1.8 | virginica |
6.7 | 3.3 | 5.7 | 2.1 | virginica |
7.2 | 3.2 | 6.0 | 1.8 | virginica |
6.2 | 2.8 | 4.8 | 1.8 | virginica |
6.1 | 3.0 | 4.9 | 1.8 | virginica |
6.4 | 2.8 | 5.6 | 2.1 | virginica |
7.2 | 3.0 | 5.8 | 1.6 | virginica |
7.4 | 2.8 | 6.1 | 1.9 | virginica |
7.9 | 3.8 | 6.4 | 2.0 | virginica |
6.4 | 2.8 | 5.6 | 2.2 | virginica |
6.3 | 2.8 | 5.1 | 1.5 | virginica |
6.1 | 2.6 | 5.6 | 1.4 | virginica |
7.7 | 3.0 | 6.1 | 2.3 | virginica |
6.3 | 3.4 | 5.6 | 2.4 | virginica |
6.4 | 3.1 | 5.5 | 1.8 | virginica |
6.0 | 3.0 | 4.8 | 1.8 | virginica |
6.9 | 3.1 | 5.4 | 2.1 | virginica |
6.7 | 3.1 | 5.6 | 2.4 | virginica |
6.9 | 3.1 | 5.1 | 2.3 | virginica |
5.8 | 2.7 | 5.1 | 1.9 | virginica |
6.8 | 3.2 | 5.9 | 2.3 | virginica |
6.7 | 3.3 | 5.7 | 2.5 | virginica |
6.7 | 3.0 | 5.2 | 2.3 | virginica |
6.3 | 2.5 | 5.0 | 1.9 | virginica |
6.5 | 3.0 | 5.2 | 2.0 | virginica |
6.2 | 3.4 | 5.4 | 2.3 | virginica |
5.9 | 3.0 | 5.1 | 1.8 | virginica |