Hua advances analytic number theory

Vaughan became a mathematician, programmer and the first Black supervisor at the segregated West Area Computing Unit at Langley.

She assigned and reviewed demanding aeronautical calculations while advocating for staff members' opportunities.

Anticipating automation, she learned programming and helped colleagues shift from hand calculation to digital computing.

Vaughan's achievements occurred within racially separated facilities and job classifications that obscured Black women's contributions.

Largely self-taught after leaving school, Hua became one of China's most influential twentieth-century mathematicians.

Japanese invasion, migration, overseas appointments and the founding of the People's Republic changed where and how he worked.

He promoted optimization and operational research in factories and agriculture, connecting advanced mathematics with mass development programs.

Turing became a founder of theoretical computer science and made influential contributions to logic, cryptanalysis and artificial intelligence.

His abstract device clarified what it means for a procedure to be mechanically calculable.

At Bletchley Park, Turing and a large team used logic, statistics, engineering and intercepted communications against Nazi Germany.