fix: update robotics documentation for clarity and correct terminology

README.md

@@ -89,6 +89,10 @@ See this documentation
 
 - [Getting Started — PythonRobotics documentation](https://atsushisakai.github.io/PythonRobotics/getting_started.html#what-is-pythonrobotics)
 
+or this Youtube video:
+
+- [PythonRobotics project audio overview](https://www.youtube.com/watch?v=uMeRnNoJAfU)
+
 or this paper for more details:
 
 - [\[1808\.10703\] PythonRobotics: a Python code collection of robotics algorithms](https://arxiv.org/abs/1808.10703) ([BibTeX](https://github.com/AtsushiSakai/PythonRoboticsPaper/blob/master/python_robotics.bib))

docs/modules/0_getting_started/1_what_is_python_robotics_main.rst

@@ -110,6 +110,12 @@ the following additional libraries are required.
 For instructions on installing the above libraries, please refer to
 this section ":ref:`How to run sample codes`".
 
+Audio overview of this project
+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+For an audio overview of this project, please refer to this `YouTube video`_.
+
+.. _`YouTube video`: https://www.youtube.com/watch?v=uMeRnNoJAfU
+
 Arxiv paper
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 

docs/modules/1_introduction/1_definition_of_robotics/definition_of_robotics_main.rst

@@ -103,5 +103,5 @@ Robotics consists of several essential components:
 #. Power Supply – Provides energy to run the robot (e.g., Batteries, Solar power).
 #. Software & Algorithms – Allow the robot to function and make intelligent decisions (e.g., ROS, Machine learning models, Localization, Mapping, Path planning, Control).
 
-This project, PythonRobotics, focuses on the software and algorithms part of robotics.
+This project, `PythonRobotics`, focuses on the software and algorithms part of robotics.
 If you are interested in `Sensors` hardware, you can check :ref:`Internal Sensors for Robotics`_ or :ref:`External Sensors for Robotics`_.

docs/modules/5_path_planning/elastic_bands/elastic_bands_main.rst

@@ -16,7 +16,7 @@ Core Concept
   * Maintain global path connectivity.
 
 Bubble Representation
-~~~~~~~~~~~~~~~~~~~
+~~~~~~~~~~~~~~~~~~~~~~~~
 - **Definition**: A local free-space region around configuration :math:`b`:
 
   .. math::
@@ -56,7 +56,7 @@ External Repulsion Force
      \frac{\partial \rho}{\partial x} \approx \frac{\rho(b_i + h) - \rho(b_i - h)}{2h}.
 
 Dynamic Path Maintenance
-~~~~~~~~~~~~~~~~~~~~~~~
+~~~~~~~~~~~~~~~~~~~~~~~~~~
 1. **Node Update**:
 
    .. math::
@@ -68,6 +68,7 @@ Dynamic Path Maintenance
 - Insert new nodes if adjacent nodes are too far apart
 - Remove redundant nodes if adjacent nodes are too close
 
-Ref:
+References
+~~~~~~~~~~~~~~~~~~~~~~~
 
 -  `Elastic Bands: Connecting Path Planning and Control <http://www8.cs.umu.se/research/ifor/dl/Control/elastic%20bands.pdf>`__