Add sorting concepts.

notes/.obsidian/plugins/obsidian-to-anki-plugin/data.json

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notes/algorithms/index.md

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+---
+title: Algorithms
+---

notes/algorithms/sorting/index.md

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+---
+title: Sorting
+TARGET DECK: Obsidian::STEM
+FILE TAGS: algorithm sorting
+tags:
+  - algorithm
+  - sorting
+---
+
+## Overview
+
+Let $n \geq 0$ and $S = \langle a_1, a_2, \ldots, a_n \rangle$ be a sequence. The **sorting problem** refers to permuting **keys** $a_1, a_2, \ldots, a_n$ into a new sequence $\langle a_1', a_2', \ldots, a_n' \rangle$ such that $a_1' \leq a_2' \leq \cdots \leq a_n'$.
+
+## Structural Comparison
+
+The #Elixir documentation makes a point that there exist two types of comparisons between data types.[^structural] The first is **structural** in which comparisons are made on the underlying data structures used to describe the data types. The second is **semantic** which focuses on making the comparison with respect to what the data types represent.
+
+```elixir
+iex> 1 < :atom  # structural
+true
+iex> Date.compare(~D[2017-03-31], ~D[2017-04-01])  # semantic
+:lt
+```
+
+%%ANKI
+Basic
+What are the two types of comparisons made between data types?
+Back: Structural and semantic.
+Reference: “Kernel — Elixir v1.16.1,” accessed February 2, 2024, [https://hexdocs.pm/elixir/1.16/Kernel.html#module-structural-comparison](https://hexdocs.pm/elixir/1.16/Kernel.html#module-structural-comparison).
+<!--ID: 1706913303147-->
+END%%
+
+%%ANKI
+Basic
+What is structural comparison of two data types?
+Back: Comparison of the underlying data structures making up data types.
+Reference: “Kernel — Elixir v1.16.1,” accessed February 2, 2024, [https://hexdocs.pm/elixir/1.16/Kernel.html#module-structural-comparison](https://hexdocs.pm/elixir/1.16/Kernel.html#module-structural-comparison).
+<!--ID: 1706913303155-->
+END%%
+
+%%ANKI
+Basic
+What is semantic comparison of two data types?
+Back: Comparison made with respect to what the data types represent.
+Reference: “Kernel — Elixir v1.16.1,” accessed February 2, 2024, [https://hexdocs.pm/elixir/1.16/Kernel.html#module-structural-comparison](https://hexdocs.pm/elixir/1.16/Kernel.html#module-structural-comparison).
+<!--ID: 1706913303160-->
+END%%
+
+## References
+
+* Thomas H. Cormen et al., _Introduction to Algorithms_, 3rd ed (Cambridge, Mass: MIT Press, 2009).
+* “Kernel — Elixir v1.16.1,” accessed February 2, 2024, [https://hexdocs.pm/elixir/1.16/Kernel.html#module-structural-comparison](https://hexdocs.pm/elixir/1.16/Kernel.html#module-structural-comparison).
+
+[^structural]: [Structural Comparison](https://hexdocs.pm/elixir/1.16/Kernel.html#module-structural-comparison)

notes/algorithms/sorting/insertion-sort.md

@@ -0,0 +1,22 @@
+---
+title: Insertion Sort
+TARGET DECK: Obsidian::STEM
+FILE TAGS: algorithm sorting
+tags:
+  - algorithm
+  - sorting
+---
+
+## Overview
+
+| Property      | Value      |
+| ------------- | ---------- |
+| Best Case     ||
+| Worst Case    ||
+| Average Case  ||
+| Memory        ||
+| In place?     ||
+
+## References
+
+* Thomas H. Cormen et al., _Introduction to Algorithms_, 3rd ed (Cambridge, Mass: MIT Press, 2009).