What is an algorithm! Part 3 + 1 "Mathematics"

The most interesting and the most difficult, the most boring and the most useful thing about the algorithm. Wonderland and the looking glass of the Algorithm at the same time. Let's try, like the famous storyteller, to acquaint the imaginary Alice with the labyrinth of "thoughts" of the mathematician - with the ways of using transfer, modeling and synthesis. And again under the cut there are a lot of words and a few pictures ...

A task

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• (GitLab GPL): " "
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  • №1 "",
  • No. 2 "Conditional and Coherent Sequence" ,
  • №3 "Synthesis of the algorithm by memorization"
  • №3.1 "Evolution of memory"
  • No. 3.14 "Copying the memory hierarchy"
  • # 5 "Evolution of Behavior"
• Articles in the "Programming" hub:
  
  
  • Children's fairy tale for the programmer at night
  • Evolution of software design and OOP
  • How not to understand the development principles of SOLID architecture
• Illustrations from the books Alice's Adventures in Wonderland and Alice Through the Looking Glass by Sir John Tenniel