Noether's theorem connects symmetry and conservation

The table specifies operations, variables and repetitions in a form recognizable as an algorithm.

She argued that the Engine could follow operations supplied to it but could not originate ideas on its own.

Lovelace compared punched-card control with the Jacquard loom, linking patterns in textiles with patterns in symbolic computation.

Noether became a foundational figure in abstract algebra and mathematical physics despite institutional discrimination against women and Jews.

She shifted attention toward structural relationships among rings, ideals and modules, influencing much of twentieth-century mathematics.

She taught without normal status or pay for years and was later dismissed by the Nazi regime because she was Jewish.

Born in Erode under British colonial rule, Ramanujan developed extraordinary results in number theory, series and continued fractions.

Working with limited access to current research, he recorded thousands of identities and theorems, often without conventional proofs.

His mathematical formation cannot be reduced to discovery by Cambridge; it began in South India before international recognition.

Poverty, examinations, patronage and imperial academic networks affected whether his work could be supported and circulated.