From 2ef4c241c1c53d8dfeead4edc641d147a9ae3c51 Mon Sep 17 00:00:00 2001 From: Andrew Tu Date: Wed, 24 Apr 2019 18:50:48 -0400 Subject: [PATCH] testing math --- SLAM/EKFSLAM/ekf_slam.ipynb | 17 ++++++++++------- 1 file changed, 10 insertions(+), 7 deletions(-) diff --git a/SLAM/EKFSLAM/ekf_slam.ipynb b/SLAM/EKFSLAM/ekf_slam.ipynb index 5f2ad6da..ea841909 100644 --- a/SLAM/EKFSLAM/ekf_slam.ipynb +++ b/SLAM/EKFSLAM/ekf_slam.ipynb @@ -63,16 +63,17 @@ "metadata": {}, "source": [ "\\begin{equation}\n", - "\\begin{array}{cc}\n", "X = \\begin{bmatrix} x \\\\ y \\\\ \\theta \\\\ x_1 \\\\ y_1 \\\\ x_2 \\\\ y_2 \\\\ \\dots \\\\ x_n \\\\ y_n\\end{bmatrix}\\\n", - "& P = \\begin{bmatrix} \n", + "\\end{equation}\n", + "\n", + "\\begin{equation}\n", + "P = \\begin{bmatrix} \n", "\\sigma_{xx} & \\sigma_{xy} & \\sigma_{x\\theta} & \\sigma_{xx_1} & \\sigma_{xy_1} & \\sigma_{xx_2} & \\sigma_{xy_2} & \\dots & \\sigma_{xx_n} & \\sigma_{xy_n} \\\\\n", "\\sigma_{yx} & \\sigma_{yy} & \\sigma_{y\\theta} & \\sigma_{yx_1} & \\sigma_{yy_1} & \\sigma_{yx_2} & \\sigma_{yy_2} & \\dots & \\sigma_{yx_n} & \\sigma_{yy_n} \\\\\n", " & & & & \\vdots & & & & & \\\\\n", "\\sigma_{x_nx} & \\sigma_{x_ny} & \\sigma_{x_n\\theta} & \\sigma_{x_nx_1} & \\sigma_{x_ny_1} & \\sigma_{x_nx_2} & \\sigma_{x_ny_2} & \\dots & \\sigma_{x_nx_n} & \\sigma_{x_ny_n}\n", "\\end{bmatrix}\n", - "\\end{array}\n", - "\\end{equaiton}" + "\\end{equation}" ] }, { @@ -91,13 +92,15 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "\\begin{array}{cc}\n", + "\\begin{equation}\n", "X = \\begin{bmatrix} x \\\\ m \\end{bmatrix}\n", - "&P = \\begin{bmatrix} \n", + "\\end{equation}\n", + "\\begin{equation}\n", + "P = \\begin{bmatrix} \n", "\\Sigma_{xx} & \\Sigma_{xm}\\\\\n", "\\Sigma_{mx} & \\Sigma_{mm}\\\\\n", "\\end{bmatrix}\n", - "\\end{array}" + "\\end{equation}" ] }, {