From 354186169dfaafb3490aff0b3621dff2fd54db65 Mon Sep 17 00:00:00 2001 From: Tom Schierenbeck Date: Thu, 28 Mar 2024 10:09:35 +0100 Subject: [PATCH] Completed tutorial on algebra --- examples/product_spaces.ipynb | 1 + 1 file changed, 1 insertion(+) diff --git a/examples/product_spaces.ipynb b/examples/product_spaces.ipynb index a65034e..12a840f 100644 --- a/examples/product_spaces.ipynb +++ b/examples/product_spaces.ipynb @@ -22,6 +22,7 @@ "\n", "\n", "If you are interested in robotics, it is also important since:\n", + "\n", "- **Reasoning with uncertainty**: Robots often operate in environments with uncertainty. $\\sigma$ algebras provide a mathematical foundation to represent uncertain events and reason about the probability of different events happening (like sensor readings or obstacles appearing).\n", "- **Decision making under probability**: Many robotic tasks involve making decisions based on probabilities. By understanding $\\sigma$-algebras, you can build algorithms that consider the chance of different outcomes and choose the action with the highest probability of success.\n", "- **Planning and control under uncertainty**: Planning robot actions often requires considering various possibilities. $\\sigma$-algebras allow you to create probabilistic models of the environment, enabling robots to plan and control their movements while accounting for uncertainties.\n",