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feat: mathematician skill package v0.1.0

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# Tasks & work activities — mathematician
Source: O*NET 30.3, occupation 15-2021.00 (Mathematicians).
## Task statements
- **[Core]** Disseminate research by writing reports, publishing papers, or presenting at professional conferences.
- **[Core]** Mentor others on mathematical techniques.
- **[Core]** Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.
- **[Core]** Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.
- **[Core]** Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.
- **[Core]** Perform computations and apply methods of numerical analysis to data.
- **[Core]** Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.
- **[Core]** Assemble sets of assumptions, and explore the consequences of each set.
- **[Core]** Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.
- **[Core]** Develop new principles and new relationships between existing mathematical principles to advance mathematical science.
- **[Core]** Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.
- **[Supplemental]** Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.
## Detailed work activities
- Analyze data to identify trends or relationships among variables.
- Analyze security of systems, network, or data.
- Apply mathematical principles or statistical approaches to solve problems in scientific or applied fields.
- Collaborate on research activities with scientists or technical specialists.
- Design computer modeling or simulation programs.
- Determine appropriate methods for data analysis.
- Develop computer or information security policies or procedures.
- Develop scientific or mathematical models.
- Prepare analytical reports.
- Present research results to others.
- Provide technical guidance to other personnel.
- Review professional literature to maintain professional knowledge.
- Update knowledge about emerging industry or technology trends.
- Update professional knowledge.