{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Frame of reference\n", "\n", "\n", "> Marcos Duarte, Renato Naville Watanabe \n", "> [Laboratory of Biomechanics and Motor Control](https://bmclab.pesquisa.ufabc.edu.br/) \n", "> Federal University of ABC, Brazil" ] }, { "cell_type": "markdown", "metadata": { "toc": true }, "source": [ "
RESTART THE GOOGLE COLAB ENVIRONMENT AND RE-EXECUTE ALL CELLS BEFORE THIS POINT!
" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "if 'google.colab' in str(get_ipython()):\n", " from google.colab import output\n", " output.enable_custom_widget_manager()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-11-03T23:28:00.153411Z", "start_time": "2021-11-03T23:28:00.079554Z" }, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b7c60c7afc354cfab927c75de24c3808", "version_major": 2, "version_minor": 0 }, "image/png": 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", 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