Physicists often debate the implications of no-go theorems for proposed quantum computing architectures.

Students studying formal logic often struggle to apply several deduction theorems during proof exercises.

The lecture covered spectral theorems and their applications to quantum mechanics.

In advanced calculus, mean value theorems frequently provide the key step for proving inequalities.

Graduate students read several classic papers to understand how different prime number theorems were proved.

Gödel's incompleteness theorems show that no consistent formal system capable of arithmetic can prove all truths about the natural numbers.

Advanced statistics students often study central limit theorems to understand why sample means approximate a normal distribution.

In the seminar, she presented a new perspective on Runge's theorem that highlighted its applications to polynomial approximation.

The scallop theorem shows that a swimmer performing simple reciprocal motion cannot achieve net propulsion in a Newtonian fluid at low Reynolds number.

In my logic class, we spent the semester exploring Goodstein's theorem and its surprising connection to ordinal analysis.