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Update 01-introduction.md
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nselem authored Jul 29, 2024
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Expand Up @@ -68,7 +68,7 @@ In the following figure, the left panel "a)" is an example of a simplicial compl

Simplicial complexes can be seen simultaneously as geometric/topological spaces (suitable for topological/geometrical inference) and as combinatorial objects (abstract simplicial complexes, suitable for computations).

> ## Exercise 1(Begginer): Identify the simplices
> ## Exercise 1(Beginner): Identify the simplices
> In the following graph, we have two representations of simplicial complexes.
> <a href="../fig/tda_08_exercise_1.png">
<img src="../fig/tda_08_exercise_1.png" alt="Exercise 1" width="70%" height="auto"/>
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**Betti Numbers:** Betti numbers are numerical invariants that measure the number of connected components and holes in a simplicial complex. Betti-0 ($\beta_0$) counts the number of connected components, while Betti-1 ($\beta_1$) counts the number of one-dimensional holes.


> ## Exercise 2(Begginer): Identify Betti numbers
> ## Exercise 2(Beginner): Identify Betti numbers
> In the following graph, we have 2 representations of simplicial complexes.
> <a href="../fig/tda_08_exercise_1.png">
<img src="../fig/tda_08_exercise_1.png" alt="Exercise 1" width="70%" height="auto" />
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