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What are the ideas for solving mathematical analysis problems?
The thinking of solving mathematical analysis problems is roughly as follows:

1. Understanding the problem: First of all, you need to fully understand the requirements of the topic. This may require you to break down the problem into smaller parts, or restate the problem to make it clearer.

2. Collecting information: Once you know the problem, you need to collect relevant information and data. This may include formulas, theorems, definitions, etc.

3. Analyze the problem: Next, you need to analyze the problem and find possible solutions. This may involve using different methods or strategies to solve the problem.

4. Choose a solution: Based on your analysis, you need to choose a solution. This may involve comparing different options or considering the advantages and disadvantages of each option.

5. Implement the solution: Once the solution is selected, it needs to be implemented into the problem. This may involve writing code, performing calculations, or other forms of operations.

6. Check results: Finally, you need to check whether your answer is correct. This may include using different methods to verify your answers or re-examining your problem-solving process.

7. Reflection: No matter what the result is, you should reflect on your own problem-solving process. Thinking about what you have done well and what you need to improve can help you deal with similar problems better.