Improve online documentation (#1280)

- Use correct link to history
- Display links in history correctly
- Display math symbols in history correctly
- Add introduction texts to concepts
- Move API ref to bottom of TOC

docs/source/concepts/index.rst

@@ -2,17 +2,18 @@
 Concepts
 ========
 
+The underlying concepts of the different parts of *JuPedSim* are explained here.
+If you want to know in more detail how the simulation works, have a look:
+
 .. list-table::
-    :widths: 20 80
+    :widths: 10 90
 
     * - :doc:`Geometry <geometry>`
       - How the simulation environment is handled *JuPedSim*
 
     * - :doc:`Routing <routing>`
       - How the routing is handled in *JuPedSim*
 
-
-
 .. toctree::
     :maxdepth: 1
     :hidden:

docs/source/history.rst

@@ -21,9 +21,9 @@ Balancing performance and Complexity with C++
 Central to the new JuPedSim is its architecture. Revising the architectural
 choices, we've transitioned from a singular focus on performance to a more
 balanced perspective. Instead of multithreading, JuPedSim now operates
-single-threaded, relegating only performanc-critical segments to C++. This
+single-threaded, relegating only performance-critical segments to C++. This
 decision stems from recognizing that excessive complexity can deter users.
-While we acklowdege there's room for further enhancements, especially regarding
+While we acknowledge there's room for further enhancements, especially regarding
 the integration of new models, the primary aim of this release was not solely
 performance but to strike a harmony between speed and user-friendliness.
 
@@ -48,7 +48,7 @@ to easily craft simulation scenarios, prototype complex behaviors, and harness
 the power of the core "primitive" components. The enhanced version of JuPedSim
 adopts a novel approach by operating as a library based on Python. This new
 architecture greatly enhances the versatility in configuring simulations. For
-instance, one can easily define dynamically chanching behaviors such as
+instance, one can easily define dynamically changing behaviors such as
 arranging pedestrians in spiral formations and having individuals depart from
 the formation every 3 seconds. This Python API provides users with a familiar
 and intuitive programming language, enabling them to efficiently manipulate and
@@ -88,14 +88,14 @@ comprehending pedestrian dynamics in complex environments.
 
     Source: Pinar Usten
 
-To give an example, in this [study](https://doi.org/10.1098/rsos.211822),
-motivation among agents is represented by the parameter $T$. Higher motivation,
-like in jostling situations, correlates with a smaller $T$ value, causing
+To give an example, in this `study <https://doi.org/10.1098/rsos.211822>`_,
+motivation among agents is represented by the parameter :math:`T`. Higher motivation,
+like in jostling situations, correlates with a smaller :math:`T` value, causing
 pedestrians to quickly close gaps. For example, highly motivated agents might
-have $T=0.1s$, while less motivated ones might sit at $T=1.3s$. But what if the
+have :math:`T=0.1s`, while less motivated ones might sit at :math:`T=1.3s`. But what if the
 motivation of people varies with time and space? Consider an exit scenario:
 those closer to an exit in a crowd are more motivated than those far behind,
-indicating a need for $T$ to be dynamic.
+indicating a need for :math:`T` to be dynamic.
 
 This is where the new JuPedSim shines — it can adjust this "motivation
 behavior" in real-time during a simulation, providing a nuanced, adaptive, and
@@ -110,33 +110,33 @@ department, police, transport companies, security services, event organizers
 and venue operators.
 
 We started with the project
-[Hermes](https://www.sifo.de/sifo/de/projekte/schutz-und-rettung-von-menschen/schutz-und-rettung-von-menschen/hermes/hermes-erforschung-eines-evaku-nfall-bei-grossveranstaltungen.html)
+`Hermes <https://www.sifo.de/sifo/de/projekte/schutz-und-rettung-von-menschen/schutz-und-rettung-von-menschen/hermes/hermes-erforschung-eines-evaku-nfall-bei-grossveranstaltungen.html>`_
 and designed JuPedSim in a way that it could be utilized to simulate the
 evacuation of a stadium in Düsseldorf. Within the project
-[ORPHEUS](https://www.orpheus-projekt.de) we investigated a **large-scale
+`ORPHEUS <https://www.orpheus-projekt.de>`_ we investigated a **large-scale
 evacuation** scenario of an underground station in Berlin. As a part of the
-project [KapaKrit](https://www.kapakrit.de) different crowd management measures
+project `KapaKrit <https://www.kapakrit.de>`_ different crowd management measures
 were investigated with JuPedSim to determine the capacity of a train station
 for a large-scale evacuation of the city Dortmund.
 
 
 In recent years the investigation of arrival and departure processes at **major
 events** has increasingly come into focus. Empirical findings from the projects
-[BaSiGo](https://www.sifo.de/sifo/de/projekte/schutz-und-rettung-von-menschen/schutz-und-rettung-von-menschen/basigo/basigo-bausteine-fuer-die-sich-rheit-von-grossveranstaltungen.html)
-and [CroMa](https://www.croma-projekt.de/de) regarding **crowd management
+`BaSiGo <https://www.sifo.de/sifo/de/projekte/schutz-und-rettung-von-menschen/schutz-und-rettung-von-menschen/basigo/basigo-bausteine-fuer-die-sich-rheit-von-grossveranstaltungen.html>`_
+and `CroMa <https://www.croma-projekt.de/de>`_) regarding **crowd management
 measures and waiting behavior** have created an improved data basis for
 enhancing our software and the models accordingly. In doing so, we continuously
 take into account practical challenges and issues. Since 2019, we have been
 working closely with people responsible for event safety (such as event
-planners and authorities) as part of the [SISAME/SISAME
-2.0](https://www.sisame.de/) project. In interdisciplinary workshops, we have
+planners and authorities) as part of the `SISAME/SISAME
+2.0 <https://www.sisame.de/>`_ project. In interdisciplinary workshops, we have
 worked out how simulations can help in planning events and have accordingly
 advanced the development of JuPedSim. Another goal of SISAME is the coupling
-with [SUMO](https://sumo.dlr.de), a simulation software for modelling urban
+with `SUMO <https://sumo.dlr.de>`_, a simulation software for modelling urban
 traffic (private and public transport). One of our main goals is to enable,
 together with SUMO, a holistic simulation that combines a wide variety of
 transport modes and pedestrian streams. In the current project
-[CroMa-PRO](https://www.sifo.de/sifo/shareddocs/Downloads/P-Umrisse/projektumriss_croma-pro.pdf?__blob=publicationFile&v=2),
+`CroMa-PRO <https://www.sifo.de/sifo/shareddocs/Downloads/P-Umrisse/projektumriss_croma-pro.pdf?__blob=publicationFile&v=2>`_,
 JuPedSim is being improved for the use in event planning. In this context, the
 modeling of waiting behavior will be improved and the routing should be made
 more flexible in order to be able to reflect crowd management measures.
@@ -145,7 +145,7 @@ for the 2024 UEFA European Football Championship in Düsseldorf.
 
 With the new release of JuPedSim we have bundled our experiences from the last
 decades and provide a powerful simulation tool, that can be used for
-investigating different aspects of crowd dynamics ranginge from large-scale
+investigating different aspects of crowd dynamics ranging from large-scale
 evacuation scenarios to crowd-management measures such as waiting in queues.
 See for yourself:
 

docs/source/index.rst

@@ -7,11 +7,11 @@ JuPedSim
    :hidden:
 
    Getting started <notebooks/getting_started>
-   API reference <api/jupedsim/index>
    Concepts <concepts/index>
    Notebooks <notebooks/index>
    History <history>
    Disclaimer <disclaimer>
+   API reference <api/jupedsim/index>
 
 
 **Useful links**:
@@ -33,7 +33,7 @@ looking at how this application was used and abused we decided to rewrite
    refer to the old CLI application.
 
 If you are interested to learn about the history of this project, see
-:ref:`_history`
+:ref:`here <history>`.
 
 Where to get it
 ===============