Mathematicians

Does not pass

• Address the relationships of quantities, magnitudes, and forms through the use of numbers and symbols.

  reason given most often: no existing check settles it · 12.8% of the role's time · $32.6M

• Develop new principles and new relationships between existing mathematical principles to advance mathematical science.

  reason given most often: nobody can tell quickly whether it worked, and no existing check settles it · 10.1% of the role's time · $25.6M

• Assemble sets of assumptions, and explore the consequences of each set.

  reason given most often: no existing check settles it · 9.9% of the role's time · $25.2M

• Mentor others on mathematical techniques.

  reason given most often: nobody can tell quickly whether it worked, and no existing check settles it · 9.8% of the role's time · $25.0M

• Maintain knowledge in the field by reading professional journals, talking with other mathematicians, and attending professional conferences.

  reason given most often: nobody can tell quickly whether it worked, and no existing check settles it · 8.2% of the role's time · $20.9M

• Conduct research to extend mathematical knowledge in traditional areas, such as algebra, geometry, probability, and logic.

  reason given most often: nobody can tell quickly whether it worked, and no existing check settles it · 7.9% of the role's time · $20.1M

• Apply mathematical theories and techniques to the solution of practical problems in business, engineering, the sciences, or other fields.

  reason given most often: nobody can tell quickly whether it worked, and no existing check settles it · 7.8% of the role's time · $19.7M

• Develop mathematical or statistical models of phenomena to be used for analysis or for computational simulation.

  reason given most often: nobody can tell quickly whether it worked, and no existing check settles it · 7.7% of the role's time · $19.5M

• Develop computational methods for solving problems that occur in areas of science and engineering or that come from applications in business or industry.

  reason given most often: nobody can tell quickly whether it worked, and no existing check settles it · 6.3% of the role's time · $16.0M

• Disseminate research by writing reports, publishing papers, or presenting at professional conferences.

  reason given most often: nobody can tell quickly whether it worked, and no existing check settles it · 4.5% of the role's time · $11.5M

• Design, analyze, and decipher encryption systems designed to transmit military, political, financial, or law-enforcement-related information in code.

  reason given most often: nobody can tell quickly whether it worked, and no existing check settles it, and a failure is too expensive · 4.4% of the role's time · $11.1M