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What tools are commonly used in mathematical research?
There are many tools commonly used in mathematical research. The following are some common tool types:

1. pen and paper: this is the most basic mathematical tool, used for handwritten calculation, derivation and proof.

2. Calculator: Calculator is a common tool for numerical calculation and symbolic operation, which can quickly complete complex mathematical operations.

3. Computer software: MATLAB, Mathematica, Maple and other computer software. It provides powerful mathematical calculation and symbolic operation functions, and can carry out complex numerical calculation, drawing and simulation.

4. Programming languages: Python, R and other programming languages can be used for data analysis, machine learning, statistical modeling and other mathematical applications.

5. Mathematical software packages: Mathematical software packages such as NumPy, SciPy, Pandas, etc. It provides rich mathematical functions and data processing functions, which is convenient for scientific calculation and data analysis.

6. Drawing tools: You can use drawing tools such as Matplotlib and ggplot2 to draw various mathematical figures, such as line charts, scatter charts and bar charts.

7. Database management system: MySQL, PostgreSQL and other database management systems can be used to store and manage a large number of mathematical data.

8. Version control system: In the process of mathematical research, Git and other version control systems can be used to track and manage codes and documents.

9. Document management tools: In the process of mathematical research, you can use EndNote, Zotero and other document management tools to manage and reference documents.

10. Mathematical modeling tools: Mathematical modeling tools such as Modelica and Simulink can be used to build and simulate complex mathematical models.