Update index.md

content/blog/1d-collisions/index.md

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+## 2. Relevance
+
+There are numerous reasons why this project is relevant, as well as a wide range of potential applications. The following will outline the primary reasons and applications:
+
+- It can be used in the educational process. For instance, it can be used to illustrate some principles of mechanics to students and to visualize some physics problems.
+  
+- It can be used to simulate some physical experiments. For instance, it can be used to simulate the one described in _G. A. Galperin's work_[^1]. 
+
+- It can be used as a foundation for future projects.[^2]
 
 ## 3. The consequences of collisions
 
@@ -100,3 +109,11 @@ v_w' = \lim\limits_{m_w \to \infty} \frac{2mv + v_w(m_w-m)}{m+m_w} = \lim\limits
 $$
 
 This leads to the conclusion that the wall will not change its position, but the particle will change its velocity value to the opposite.
+
+---
+
+## Note
+
+[^1]: Galperin G. A. (9 December 2003). ["PLAYING POOL WITH π (THE NUMBER π FROM A BILLIARD POINT OF VIEW)"](http://rcd.ics.org.ru/upload/iblock/007/RCD080402.pdf). DOI: [10.1070/RD2003v008n04ABEH000252](http://rcd.ics.org.ru/RD2003v008n04ABEH000252/)
+
+[^2]: Please be aware that the project is distributed under the MIT license. However, if you decide to use it as the basis of your project, it would be advisable to contact me first.