Making 5 – Analogy step

Using analogy step to solve a complex-analysis question involving finding the integral around a closed curve (defined as r).

Processes

1. Find out the domain of analyticity of the function within the curve
2. Find out all singularity points
3. If there’s no singularity, result is 0
4. For each singularity points, find out the residue
5. Sum up all the residue
6. Multiply 2pi i with the sum of the residue

Abstract

1. Solving a huge problem resembles zooming in and solving each small problem respectively
2. Spotting all small problems
3. Sometimes there are lucky cases
4. Transforming unknown questions to known questions
5. Link what you come up with to what’s already given

Analogy

1. Finding a way out from a forest
2. Surviving in the wilderness
3. Ruling a country

The work that I made was simply an example question with solution using the processes given.